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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@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_RANK2UPDATE_H
11 #define EIGEN_RANK2UPDATE_H
12 
13 namespace internal {
14 
15 /* Optimized selfadjoint matrix += alpha * uv' + conj(alpha)*vu'
16  * This is the low-level version of SelfadjointRank2Update.h
17  */
18 template<typename Scalar, typename Index, int UpLo>
19 struct rank2_update_selector
20 {
runrank2_update_selector21   static void run(Index size, Scalar* mat, Index stride, const Scalar* u, const Scalar* v, Scalar alpha)
22   {
23     typedef Map<const Matrix<Scalar,Dynamic,1> > OtherMap;
24     for (Index i=0; i<size; ++i)
25     {
26       Map<Matrix<Scalar,Dynamic,1> >(mat+stride*i+(UpLo==Lower ? i : 0), UpLo==Lower ? size-i : (i+1)) +=
27       numext::conj(alpha) * numext::conj(u[i]) * OtherMap(v+(UpLo==Lower ? i : 0), UpLo==Lower ? size-i : (i+1))
28                 + alpha * numext::conj(v[i]) * OtherMap(u+(UpLo==Lower ? i : 0), UpLo==Lower ? size-i : (i+1));
29     }
30   }
31 };
32 
33 /* Optimized selfadjoint matrix += alpha * uv' + conj(alpha)*vu'
34  * The matrix is in packed form.
35  */
36 template<typename Scalar, typename Index, int UpLo>
37 struct packed_rank2_update_selector
38 {
runpacked_rank2_update_selector39   static void run(Index size, Scalar* mat, const Scalar* u, const Scalar* v, Scalar alpha)
40   {
41     typedef Map<const Matrix<Scalar,Dynamic,1> > OtherMap;
42     Index offset = 0;
43     for (Index i=0; i<size; ++i)
44     {
45       Map<Matrix<Scalar,Dynamic,1> >(mat+offset, UpLo==Lower ? size-i : (i+1)) +=
46       numext::conj(alpha) * numext::conj(u[i]) * OtherMap(v+(UpLo==Lower ? i : 0), UpLo==Lower ? size-i : (i+1))
47                 + alpha * numext::conj(v[i]) * OtherMap(u+(UpLo==Lower ? i : 0), UpLo==Lower ? size-i : (i+1));
48       //FIXME This should be handled outside.
49       mat[offset+(UpLo==Lower ? 0 : i)] = numext::real(mat[offset+(UpLo==Lower ? 0 : i)]);
50       offset += UpLo==Lower ? size-i : (i+1);
51     }
52   }
53 };
54 
55 } // end namespace internal
56 
57 #endif // EIGEN_RANK2UPDATE_H
58