| /* |
| Copyright (c) 2011, Intel Corporation. All rights reserved. |
| |
| Redistribution and use in source and binary forms, with or without modification, |
| are permitted provided that the following conditions are met: |
| |
| * Redistributions of source code must retain the above copyright notice, this |
| list of conditions and the following disclaimer. |
| * Redistributions in binary form must reproduce the above copyright notice, |
| this list of conditions and the following disclaimer in the documentation |
| and/or other materials provided with the distribution. |
| * Neither the name of Intel Corporation nor the names of its contributors may |
| be used to endorse or promote products derived from this software without |
| specific prior written permission. |
| |
| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND |
| ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED |
| WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE |
| DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR |
| ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES |
| (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON |
| ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
| SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| |
| ******************************************************************************** |
| * Content : Eigen bindings to LAPACKe |
| * Complex Schur needed to complex unsymmetrical eigenvalues/eigenvectors. |
| ******************************************************************************** |
| */ |
| |
| #ifndef EIGEN_COMPLEX_SCHUR_LAPACKE_H |
| #define EIGEN_COMPLEX_SCHUR_LAPACKE_H |
| |
| // IWYU pragma: private |
| #include "./InternalHeaderCheck.h" |
| |
| namespace Eigen { |
| |
| /** \internal Specialization for the data types supported by LAPACKe */ |
| |
| #define EIGEN_LAPACKE_SCHUR_COMPLEX(EIGTYPE, LAPACKE_TYPE, LAPACKE_PREFIX, LAPACKE_PREFIX_U, EIGCOLROW, \ |
| LAPACKE_COLROW) \ |
| template <> \ |
| template <typename InputType> \ |
| inline ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >& \ |
| ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >::compute(const EigenBase<InputType>& matrix, \ |
| bool computeU) { \ |
| typedef Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> MatrixType; \ |
| typedef MatrixType::RealScalar RealScalar; \ |
| typedef std::complex<RealScalar> ComplexScalar; \ |
| \ |
| eigen_assert(matrix.cols() == matrix.rows()); \ |
| \ |
| m_matUisUptodate = false; \ |
| if (matrix.cols() == 1) { \ |
| m_matT = matrix.derived().template cast<ComplexScalar>(); \ |
| if (computeU) m_matU = ComplexMatrixType::Identity(1, 1); \ |
| m_info = Success; \ |
| m_isInitialized = true; \ |
| m_matUisUptodate = computeU; \ |
| return *this; \ |
| } \ |
| lapack_int n = internal::convert_index<lapack_int>(matrix.cols()), sdim, info; \ |
| lapack_int matrix_order = LAPACKE_COLROW; \ |
| char jobvs, sort = 'N'; \ |
| LAPACK_##LAPACKE_PREFIX_U##_SELECT1 select = 0; \ |
| jobvs = (computeU) ? 'V' : 'N'; \ |
| m_matU.resize(n, n); \ |
| lapack_int ldvs = internal::convert_index<lapack_int>(m_matU.outerStride()); \ |
| m_matT = matrix; \ |
| lapack_int lda = internal::convert_index<lapack_int>(m_matT.outerStride()); \ |
| Matrix<EIGTYPE, Dynamic, Dynamic> w; \ |
| w.resize(n, 1); \ |
| info = LAPACKE_##LAPACKE_PREFIX##gees(matrix_order, jobvs, sort, select, n, (LAPACKE_TYPE*)m_matT.data(), lda, \ |
| &sdim, (LAPACKE_TYPE*)w.data(), (LAPACKE_TYPE*)m_matU.data(), ldvs); \ |
| if (info == 0) \ |
| m_info = Success; \ |
| else \ |
| m_info = NoConvergence; \ |
| \ |
| m_isInitialized = true; \ |
| m_matUisUptodate = computeU; \ |
| return *this; \ |
| } |
| |
| EIGEN_LAPACKE_SCHUR_COMPLEX(dcomplex, lapack_complex_double, z, Z, ColMajor, LAPACK_COL_MAJOR) |
| EIGEN_LAPACKE_SCHUR_COMPLEX(scomplex, lapack_complex_float, c, C, ColMajor, LAPACK_COL_MAJOR) |
| EIGEN_LAPACKE_SCHUR_COMPLEX(dcomplex, lapack_complex_double, z, Z, RowMajor, LAPACK_ROW_MAJOR) |
| EIGEN_LAPACKE_SCHUR_COMPLEX(scomplex, lapack_complex_float, c, C, RowMajor, LAPACK_ROW_MAJOR) |
| |
| } // end namespace Eigen |
| |
| #endif // EIGEN_COMPLEX_SCHUR_LAPACKE_H |
