ColPivHouseholderQR_LAPACKE.h
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27  ********************************************************************************
28  * Content : Eigen bindings to LAPACKe
29  * Householder QR decomposition of a matrix with column pivoting based on
30  * LAPACKE_?geqp3 function.
31  ********************************************************************************
32 */
33 
34 #ifndef EIGEN_COLPIVOTINGHOUSEHOLDERQR_LAPACKE_H
35 #define EIGEN_COLPIVOTINGHOUSEHOLDERQR_LAPACKE_H
36 
37 namespace Eigen {
38 
41 #define EIGEN_LAPACKE_QR_COLPIV(EIGTYPE, LAPACKE_TYPE, LAPACKE_PREFIX, EIGCOLROW, LAPACKE_COLROW) \
42 template<> template<typename InputType> inline \
43 ColPivHouseholderQR<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW, Dynamic, Dynamic> >& \
44 ColPivHouseholderQR<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW, Dynamic, Dynamic> >::compute( \
45  const EigenBase<InputType>& matrix) \
46 \
47 { \
48  using std::abs; \
49  typedef Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW, Dynamic, Dynamic> MatrixType; \
50  typedef MatrixType::RealScalar RealScalar; \
51  Index rows = matrix.rows();\
52  Index cols = matrix.cols();\
53 \
54  m_qr = matrix;\
55  Index size = m_qr.diagonalSize();\
56  m_hCoeffs.resize(size);\
57 \
58  m_colsTranspositions.resize(cols);\
59  /*Index number_of_transpositions = 0;*/ \
60 \
61  m_nonzero_pivots = 0; \
62  m_maxpivot = RealScalar(0);\
63  m_colsPermutation.resize(cols); \
64  m_colsPermutation.indices().setZero(); \
65 \
66  lapack_int lda = internal::convert_index<lapack_int,Index>(m_qr.outerStride()); \
67  lapack_int matrix_order = LAPACKE_COLROW; \
68  LAPACKE_##LAPACKE_PREFIX##geqp3( matrix_order, internal::convert_index<lapack_int,Index>(rows), internal::convert_index<lapack_int,Index>(cols), \
69  (LAPACKE_TYPE*)m_qr.data(), lda, (lapack_int*)m_colsPermutation.indices().data(), (LAPACKE_TYPE*)m_hCoeffs.data()); \
70  m_isInitialized = true; \
71  m_maxpivot=m_qr.diagonal().cwiseAbs().maxCoeff(); \
72  m_hCoeffs.adjointInPlace(); \
73  RealScalar premultiplied_threshold = abs(m_maxpivot) * threshold(); \
74  lapack_int *perm = m_colsPermutation.indices().data(); \
75  for(Index i=0;i<size;i++) { \
76  m_nonzero_pivots += (abs(m_qr.coeff(i,i)) > premultiplied_threshold);\
77  } \
78  for(Index i=0;i<cols;i++) perm[i]--;\
79 \
80  /*m_det_pq = (number_of_transpositions%2) ? -1 : 1; // TODO: It's not needed now; fix upon availability in Eigen */ \
81 \
82  return *this; \
83 }
84 
89 
91 EIGEN_LAPACKE_QR_COLPIV(float, float, s, RowMajor, LAPACK_ROW_MAJOR)
92 EIGEN_LAPACKE_QR_COLPIV(dcomplex, lapack_complex_double, z, RowMajor, LAPACK_ROW_MAJOR)
93 EIGEN_LAPACKE_QR_COLPIV(scomplex, lapack_complex_float, c, RowMajor, LAPACK_ROW_MAJOR)
94 
95 } // end namespace Eigen
96 
97 #endif // EIGEN_COLPIVOTINGHOUSEHOLDERQR_LAPACKE_H
#define lapack_complex_float
Definition: lapacke.h:80
#define EIGEN_LAPACKE_QR_COLPIV(EIGTYPE, LAPACKE_TYPE, LAPACKE_PREFIX, EIGCOLROW, LAPACKE_COLROW)
#define LAPACK_COL_MAJOR
Definition: lapacke.h:122
Scalar Scalar * c
Definition: benchVecAdd.cpp:17
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
std::complex< float > scomplex
Definition: MKL_support.h:119
std::complex< double > dcomplex
Definition: MKL_support.h:118
#define LAPACK_ROW_MAJOR
Definition: lapacke.h:121
RealScalar s
#define lapack_complex_double
Definition: lapacke.h:96


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autogenerated on Sat May 8 2021 02:41:47