зеркало из https://github.com/microsoft/EdgeML.git
89 строки
3.1 KiB
C++
89 строки
3.1 KiB
C++
// 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 EIGEN_PACKED_TRIANGULAR_SOLVER_VECTOR_H
|
|
#define EIGEN_PACKED_TRIANGULAR_SOLVER_VECTOR_H
|
|
|
|
namespace internal {
|
|
|
|
template<typename LhsScalar, typename RhsScalar, typename Index, int Side, int Mode, bool Conjugate, int StorageOrder>
|
|
struct packed_triangular_solve_vector;
|
|
|
|
// forward and backward substitution, row-major, rhs is a vector
|
|
template<typename LhsScalar, typename RhsScalar, typename Index, int Mode, bool Conjugate>
|
|
struct packed_triangular_solve_vector<LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, RowMajor>
|
|
{
|
|
enum {
|
|
IsLower = (Mode&Lower)==Lower
|
|
};
|
|
static void run(Index size, const LhsScalar* lhs, RhsScalar* rhs)
|
|
{
|
|
internal::conj_if<Conjugate> cj;
|
|
typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
|
|
typedef typename conj_expr_if<Conjugate,LhsMap>::type ConjLhsType;
|
|
|
|
lhs += IsLower ? 0 : (size*(size+1)>>1)-1;
|
|
for(Index pi=0; pi<size; ++pi)
|
|
{
|
|
Index i = IsLower ? pi : size-pi-1;
|
|
Index s = IsLower ? 0 : 1;
|
|
if (pi>0)
|
|
rhs[i] -= (ConjLhsType(LhsMap(lhs+s,pi))
|
|
.cwiseProduct(Map<const Matrix<RhsScalar,Dynamic,1> >(rhs+(IsLower ? 0 : i+1),pi))).sum();
|
|
if (!(Mode & UnitDiag))
|
|
rhs[i] /= cj(lhs[IsLower ? i : 0]);
|
|
IsLower ? lhs += pi+1 : lhs -= pi+2;
|
|
}
|
|
}
|
|
};
|
|
|
|
// forward and backward substitution, column-major, rhs is a vector
|
|
template<typename LhsScalar, typename RhsScalar, typename Index, int Mode, bool Conjugate>
|
|
struct packed_triangular_solve_vector<LhsScalar, RhsScalar, Index, OnTheLeft, Mode, Conjugate, ColMajor>
|
|
{
|
|
enum {
|
|
IsLower = (Mode&Lower)==Lower
|
|
};
|
|
static void run(Index size, const LhsScalar* lhs, RhsScalar* rhs)
|
|
{
|
|
internal::conj_if<Conjugate> cj;
|
|
typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
|
|
typedef typename conj_expr_if<Conjugate,LhsMap>::type ConjLhsType;
|
|
|
|
lhs += IsLower ? 0 : size*(size-1)>>1;
|
|
for(Index pi=0; pi<size; ++pi)
|
|
{
|
|
Index i = IsLower ? pi : size-pi-1;
|
|
Index r = size - pi - 1;
|
|
if (!(Mode & UnitDiag))
|
|
rhs[i] /= cj(lhs[IsLower ? 0 : i]);
|
|
if (r>0)
|
|
Map<Matrix<RhsScalar,Dynamic,1> >(rhs+(IsLower? i+1 : 0),r) -=
|
|
rhs[i] * ConjLhsType(LhsMap(lhs+(IsLower? 1 : 0),r));
|
|
IsLower ? lhs += size-pi : lhs -= r;
|
|
}
|
|
}
|
|
};
|
|
|
|
template<typename LhsScalar, typename RhsScalar, typename Index, int Mode, bool Conjugate, int StorageOrder>
|
|
struct packed_triangular_solve_vector<LhsScalar, RhsScalar, Index, OnTheRight, Mode, Conjugate, StorageOrder>
|
|
{
|
|
static void run(Index size, const LhsScalar* lhs, RhsScalar* rhs)
|
|
{
|
|
packed_triangular_solve_vector<LhsScalar,RhsScalar,Index,OnTheLeft,
|
|
((Mode&Upper)==Upper ? Lower : Upper) | (Mode&UnitDiag),
|
|
Conjugate,StorageOrder==RowMajor?ColMajor:RowMajor
|
|
>::run(size, lhs, rhs);
|
|
}
|
|
};
|
|
|
|
} // end namespace internal
|
|
|
|
#endif // EIGEN_PACKED_TRIANGULAR_SOLVER_VECTOR_H
|