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/*
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********************************************************************************
* Content : Eigen bindings to LAPACKe
* LLt decomposition based on LAPACKE_?potrf function.
********************************************************************************
*/
#ifndef EIGEN_LLT_LAPACKE_H
#define EIGEN_LLT_LAPACKE_H
// IWYU pragma: private
#include "./InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
namespace lapacke_helpers {
// -------------------------------------------------------------------------------------------------------------------
// Dispatch for rank update handling upper and lower parts
// -------------------------------------------------------------------------------------------------------------------
template <UpLoType Mode>
struct rank_update {};
template <>
struct rank_update<Lower> {
template <typename MatrixType, typename VectorType>
static Index run(MatrixType &mat, const VectorType &vec, const typename MatrixType::RealScalar &sigma) {
return Eigen::internal::llt_rank_update_lower(mat, vec, sigma);
}
};
template <>
struct rank_update<Upper> {
template <typename MatrixType, typename VectorType>
static Index run(MatrixType &mat, const VectorType &vec, const typename MatrixType::RealScalar &sigma) {
Transpose<MatrixType> matt(mat);
return Eigen::internal::llt_rank_update_lower(matt, vec.conjugate(), sigma);
}
};
// -------------------------------------------------------------------------------------------------------------------
// Generic lapacke llt implementation that hands of to the dispatches
// -------------------------------------------------------------------------------------------------------------------
template <typename Scalar, UpLoType Mode>
struct lapacke_llt {
EIGEN_STATIC_ASSERT(((Mode == Lower) || (Mode == Upper)), MODE_MUST_BE_UPPER_OR_LOWER)
template <typename MatrixType>
static Index blocked(MatrixType &m) {
eigen_assert(m.rows() == m.cols());
if (m.rows() == 0) {
return -1;
}
/* Set up parameters for ?potrf */
lapack_int size = to_lapack(m.rows());
lapack_int matrix_order = lapack_storage_of(m);
constexpr char uplo = Mode == Upper ? 'U' : 'L';
Scalar *a = &(m.coeffRef(0, 0));
lapack_int lda = to_lapack(m.outerStride());
lapack_int info = potrf(matrix_order, uplo, size, to_lapack(a), lda);
info = (info == 0) ? -1 : info > 0 ? info - 1 : size;
return info;
}
template <typename MatrixType, typename VectorType>
static Index rankUpdate(MatrixType &mat, const VectorType &vec, const typename MatrixType::RealScalar &sigma) {
return rank_update<Mode>::run(mat, vec, sigma);
}
};
} // namespace lapacke_helpers
// end namespace lapacke_helpers
/*
* Here, we just put the generic implementation from lapacke_llt into a full specialization of the llt_inplace
* type. By being a full specialization, the versions defined here thus get precedence over the generic implementation
* in LLT.h for double, float and complex double, complex float types.
*/
#define EIGEN_LAPACKE_LLT(EIGTYPE) \
template <> \
struct llt_inplace<EIGTYPE, Lower> : public lapacke_helpers::lapacke_llt<EIGTYPE, Lower> {}; \
template <> \
struct llt_inplace<EIGTYPE, Upper> : public lapacke_helpers::lapacke_llt<EIGTYPE, Upper> {};
EIGEN_LAPACKE_LLT(double)
EIGEN_LAPACKE_LLT(float)
EIGEN_LAPACKE_LLT(std::complex<double>)
EIGEN_LAPACKE_LLT(std::complex<float>)
#undef EIGEN_LAPACKE_LLT
} // end namespace internal
} // end namespace Eigen
#endif // EIGEN_LLT_LAPACKE_H