xref: /aosp_15_r20/external/eigen/blas/PackedTriangularMatrixVector.h (revision bf2c37156dfe67e5dfebd6d394bad8b2ab5804d4)
1*bf2c3715SXin Li // This file is part of Eigen, a lightweight C++ template library
2*bf2c3715SXin Li // for linear algebra.
3*bf2c3715SXin Li //
4*bf2c3715SXin Li // Copyright (C) 2012 Chen-Pang He <[email protected]>
5*bf2c3715SXin Li //
6*bf2c3715SXin Li // This Source Code Form is subject to the terms of the Mozilla
7*bf2c3715SXin Li // Public License v. 2.0. If a copy of the MPL was not distributed
8*bf2c3715SXin Li // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9*bf2c3715SXin Li 
10*bf2c3715SXin Li #ifndef EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
11*bf2c3715SXin Li #define EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
12*bf2c3715SXin Li 
13*bf2c3715SXin Li namespace internal {
14*bf2c3715SXin Li 
15*bf2c3715SXin Li template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs, int StorageOrder>
16*bf2c3715SXin Li struct packed_triangular_matrix_vector_product;
17*bf2c3715SXin Li 
18*bf2c3715SXin Li template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
19*bf2c3715SXin Li struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,ColMajor>
20*bf2c3715SXin Li {
21*bf2c3715SXin Li   typedef typename ScalarBinaryOpTraits<LhsScalar, RhsScalar>::ReturnType ResScalar;
22*bf2c3715SXin Li   enum {
23*bf2c3715SXin Li     IsLower     = (Mode & Lower)   ==Lower,
24*bf2c3715SXin Li     HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
25*bf2c3715SXin Li     HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
26*bf2c3715SXin Li   };
27*bf2c3715SXin Li   static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha)
28*bf2c3715SXin Li   {
29*bf2c3715SXin Li     internal::conj_if<ConjRhs> cj;
30*bf2c3715SXin Li     typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
31*bf2c3715SXin Li     typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType;
32*bf2c3715SXin Li     typedef Map<Matrix<ResScalar,Dynamic,1> > ResMap;
33*bf2c3715SXin Li 
34*bf2c3715SXin Li     for (Index i=0; i<size; ++i)
35*bf2c3715SXin Li     {
36*bf2c3715SXin Li       Index s = IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0;
37*bf2c3715SXin Li       Index r = IsLower ? size-i: i+1;
38*bf2c3715SXin Li       if (EIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0))
39*bf2c3715SXin Li 	ResMap(res+(IsLower ? s+i : 0),r) += alpha * cj(rhs[i]) * ConjLhsType(LhsMap(lhs+s,r));
40*bf2c3715SXin Li       if (HasUnitDiag)
41*bf2c3715SXin Li 	res[i] += alpha * cj(rhs[i]);
42*bf2c3715SXin Li       lhs += IsLower ? size-i: i+1;
43*bf2c3715SXin Li     }
44*bf2c3715SXin Li   };
45*bf2c3715SXin Li };
46*bf2c3715SXin Li 
47*bf2c3715SXin Li template<typename Index, int Mode, typename LhsScalar, bool ConjLhs, typename RhsScalar, bool ConjRhs>
48*bf2c3715SXin Li struct packed_triangular_matrix_vector_product<Index,Mode,LhsScalar,ConjLhs,RhsScalar,ConjRhs,RowMajor>
49*bf2c3715SXin Li {
50*bf2c3715SXin Li   typedef typename ScalarBinaryOpTraits<LhsScalar, RhsScalar>::ReturnType ResScalar;
51*bf2c3715SXin Li   enum {
52*bf2c3715SXin Li     IsLower     = (Mode & Lower)   ==Lower,
53*bf2c3715SXin Li     HasUnitDiag = (Mode & UnitDiag)==UnitDiag,
54*bf2c3715SXin Li     HasZeroDiag = (Mode & ZeroDiag)==ZeroDiag
55*bf2c3715SXin Li   };
56*bf2c3715SXin Li   static void run(Index size, const LhsScalar* lhs, const RhsScalar* rhs, ResScalar* res, ResScalar alpha)
57*bf2c3715SXin Li   {
58*bf2c3715SXin Li     internal::conj_if<ConjRhs> cj;
59*bf2c3715SXin Li     typedef Map<const Matrix<LhsScalar,Dynamic,1> > LhsMap;
60*bf2c3715SXin Li     typedef typename conj_expr_if<ConjLhs,LhsMap>::type ConjLhsType;
61*bf2c3715SXin Li     typedef Map<const Matrix<RhsScalar,Dynamic,1> > RhsMap;
62*bf2c3715SXin Li     typedef typename conj_expr_if<ConjRhs,RhsMap>::type ConjRhsType;
63*bf2c3715SXin Li 
64*bf2c3715SXin Li     for (Index i=0; i<size; ++i)
65*bf2c3715SXin Li     {
66*bf2c3715SXin Li       Index s = !IsLower&&(HasUnitDiag||HasZeroDiag) ? 1 : 0;
67*bf2c3715SXin Li       Index r = IsLower ? i+1 : size-i;
68*bf2c3715SXin Li       if (EIGEN_IMPLIES(HasUnitDiag||HasZeroDiag, (--r)>0))
69*bf2c3715SXin Li 	res[i] += alpha * (ConjLhsType(LhsMap(lhs+s,r)).cwiseProduct(ConjRhsType(RhsMap(rhs+(IsLower ? 0 : s+i),r)))).sum();
70*bf2c3715SXin Li       if (HasUnitDiag)
71*bf2c3715SXin Li 	res[i] += alpha * cj(rhs[i]);
72*bf2c3715SXin Li       lhs += IsLower ? i+1 : size-i;
73*bf2c3715SXin Li     }
74*bf2c3715SXin Li   };
75*bf2c3715SXin Li };
76*bf2c3715SXin Li 
77*bf2c3715SXin Li } // end namespace internal
78*bf2c3715SXin Li 
79*bf2c3715SXin Li #endif // EIGEN_PACKED_TRIANGULAR_MATRIX_VECTOR_H
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