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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2012 Chen-Pang He <jdh8 (at) ms63.hinet.net>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
     11 #define EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
     12 
     13 namespace internal {
     14 
     15 template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int StorageOrder>
     16 struct packed_triangular_matrix_vector_product;
     17 
     18 template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
     19 struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,ColMajor>
     20 {
     21   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
     22   enum {
     23     IsLower     = (Mode & Lower)   ==Lower,
     24     HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
     25     HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
     26   };
     27   static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha)
     28   {
     29     internal::conj_if<ConjRhs> cj;
     30     typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
     31     typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType;
     32     typedef Map<Matrix<ResScalar,Dynamic,1> > ResMap;
     33 
     34     for (Index i=0; i<size; ++i)
     35     {
     36       Index s = IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0;
     37       Index r = IsLower ? size-i: i+1;
     38       if (EIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0))
     39 	ResMap(res+(IsLower ? s+i : 0),r) += alpha * cj(rhs[i]) * ConjLhsType(LhsMap(lhs+s,r));
     40       if (HasUnitDiag)
     41 	res[i] += alpha * cj(rhs[i]);
     42       lhs += IsLower ? size-i: i+1;
     43     }
     44   };
     45 };
     46 
     47 template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
     48 struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,RowMajor>
     49 {
     50   typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
     51   enum {
     52     IsLower     = (Mode & Lower)   ==Lower,
     53     HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
     54     HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
     55   };
     56   static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha)
     57   {
     58     internal::conj_if<ConjRhs> cj;
     59     typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
     60     typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType;
     61     typedef Map<const Matrix<RhsScalar,Dynamic,1> > RhsMap;
     62     typedef typename conj_expr_if<ConjRhs,RhsMap>::type ConjRhsType;
     63 
     64     for (Index i=0; i<size; ++i)
     65     {
     66       Index s = !IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0;
     67       Index r = IsLower ? i+1 : size-i;
     68       if (EIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0))
     69 	res[i] += alpha * (ConjLhsType(LhsMap(lhs+s,r)).cwiseProduct(ConjRhsType(RhsMap(rhs+(IsLower ? 0 : s+i),r)))).sum();
     70       if (HasUnitDiag)
     71 	res[i] += alpha * cj(rhs[i]);
     72       lhs += IsLower ? i+1 : size-i;
     73     }
     74   };
     75 };
     76 
     77 } // end namespace internal
     78 
     79 #endif // EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
     80