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