1 /*
2  Copyright (c) 2011, Intel Corporation. All rights reserved.
3 
4  Redistribution and use in source and binary forms, with or without modification,
5  are permitted provided that the following conditions are met:
6 
7  * Redistributions of source code must retain the above copyright notice, this
8    list of conditions and the following disclaimer.
9  * Redistributions in binary form must reproduce the above copyright notice,
10    this list of conditions and the following disclaimer in the documentation
11    and/or other materials provided with the distribution.
12  * Neither the name of Intel Corporation nor the names of its contributors may
13    be used to endorse or promote products derived from this software without
14    specific prior written permission.
15 
16  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
17  ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
18  WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
19  DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
20  ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
21  (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
22  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
23  ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
24  (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
25  SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26 
27  ********************************************************************************
28  *   Content : Eigen bindings to Intel(R) MKL
29  *     LLt decomposition based on LAPACKE_?potrf function.
30  ********************************************************************************
31 */
32 
33 #ifndef EIGEN_LLT_MKL_H
34 #define EIGEN_LLT_MKL_H
35 
36 #include "Eigen/src/Core/util/MKL_support.h"
37 #include <iostream>
38 
39 namespace Eigen {
40 
41 namespace internal {
42 
43 template<typename Scalar> struct mkl_llt;
44 
45 #define EIGEN_MKL_LLT(EIGTYPE, MKLTYPE, MKLPREFIX) \
46 template<> struct mkl_llt<EIGTYPE> \
47 { \
48   template<typename MatrixType> \
49   static inline typename MatrixType::Index potrf(MatrixType& m, char uplo) \
50   { \
51     lapack_int matrix_order; \
52     lapack_int size, lda, info, StorageOrder; \
53     EIGTYPE* a; \
54     eigen_assert(m.rows()==m.cols()); \
55     /* Set up parameters for ?potrf */ \
56     size = m.rows(); \
57     StorageOrder = MatrixType::Flags&RowMajorBit?RowMajor:ColMajor; \
58     matrix_order = StorageOrder==RowMajor ? LAPACK_ROW_MAJOR : LAPACK_COL_MAJOR; \
59     a = &(m.coeffRef(0,0)); \
60     lda = m.outerStride(); \
61 \
62     info = LAPACKE_##MKLPREFIX##potrf( matrix_order, uplo, size, (MKLTYPE*)a, lda ); \
63     info = (info==0) ? -1 : info>0 ? info-1 : size; \
64     return info; \
65   } \
66 }; \
67 template<> struct llt_inplace<EIGTYPE, Lower> \
68 { \
69   template<typename MatrixType> \
70   static typename MatrixType::Index blocked(MatrixType& m) \
71   { \
72     return mkl_llt<EIGTYPE>::potrf(m, 'L'); \
73   } \
74   template<typename MatrixType, typename VectorType> \
75   static typename MatrixType::Index rankUpdate(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma) \
76   { return Eigen::internal::llt_rank_update_lower(mat, vec, sigma); } \
77 }; \
78 template<> struct llt_inplace<EIGTYPE, Upper> \
79 { \
80   template<typename MatrixType> \
81   static typename MatrixType::Index blocked(MatrixType& m) \
82   { \
83     return mkl_llt<EIGTYPE>::potrf(m, 'U'); \
84   } \
85   template<typename MatrixType, typename VectorType> \
86   static typename MatrixType::Index rankUpdate(MatrixType& mat, const VectorType& vec, const typename MatrixType::RealScalar& sigma) \
87   { \
88     Transpose<MatrixType> matt(mat); \
89     return llt_inplace<EIGTYPE, Lower>::rankUpdate(matt, vec.conjugate(), sigma); \
90   } \
91 };
92 
93 EIGEN_MKL_LLT(double, double, d)
94 EIGEN_MKL_LLT(float, float, s)
95 EIGEN_MKL_LLT(dcomplex, MKL_Complex16, z)
96 EIGEN_MKL_LLT(scomplex, MKL_Complex8, c)
97 
98 } // end namespace internal
99 
100 } // end namespace Eigen
101 
102 #endif // EIGEN_LLT_MKL_H
103