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- /*
- 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
- 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
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