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Eigen
3.3.3
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00001 /* 00002 Copyright (c) 2011, Intel Corporation. All rights reserved. 00003 00004 Redistribution and use in source and binary forms, with or without modification, 00005 are permitted provided that the following conditions are met: 00006 00007 * Redistributions of source code must retain the above copyright notice, this 00008 list of conditions and the following disclaimer. 00009 * Redistributions in binary form must reproduce the above copyright notice, 00010 this list of conditions and the following disclaimer in the documentation 00011 and/or other materials provided with the distribution. 00012 * Neither the name of Intel Corporation nor the names of its contributors may 00013 be used to endorse or promote products derived from this software without 00014 specific prior written permission. 00015 00016 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND 00017 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 00018 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE 00019 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR 00020 ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 00021 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 00022 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON 00023 ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 00024 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00025 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00026 00027 ******************************************************************************** 00028 * Content : Eigen bindings to LAPACKe 00029 * Complex Schur needed to complex unsymmetrical eigenvalues/eigenvectors. 00030 ******************************************************************************** 00031 */ 00032 00033 #ifndef EIGEN_COMPLEX_SCHUR_LAPACKE_H 00034 #define EIGEN_COMPLEX_SCHUR_LAPACKE_H 00035 00036 namespace Eigen { 00037 00040 #define EIGEN_LAPACKE_SCHUR_COMPLEX(EIGTYPE, LAPACKE_TYPE, LAPACKE_PREFIX, LAPACKE_PREFIX_U, EIGCOLROW, LAPACKE_COLROW) \ 00041 template<> template<typename InputType> inline \ 00042 ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >& \ 00043 ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >::compute(const EigenBase<InputType>& matrix, bool computeU) \ 00044 { \ 00045 typedef Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> MatrixType; \ 00046 typedef MatrixType::RealScalar RealScalar; \ 00047 typedef std::complex<RealScalar> ComplexScalar; \ 00048 \ 00049 eigen_assert(matrix.cols() == matrix.rows()); \ 00050 \ 00051 m_matUisUptodate = false; \ 00052 if(matrix.cols() == 1) \ 00053 { \ 00054 m_matT = matrix.derived().template cast<ComplexScalar>(); \ 00055 if(computeU) m_matU = ComplexMatrixType::Identity(1,1); \ 00056 m_info = Success; \ 00057 m_isInitialized = true; \ 00058 m_matUisUptodate = computeU; \ 00059 return *this; \ 00060 } \ 00061 lapack_int n = internal::convert_index<lapack_int>(matrix.cols()), sdim, info; \ 00062 lapack_int matrix_order = LAPACKE_COLROW; \ 00063 char jobvs, sort='N'; \ 00064 LAPACK_##LAPACKE_PREFIX_U##_SELECT1 select = 0; \ 00065 jobvs = (computeU) ? 'V' : 'N'; \ 00066 m_matU.resize(n, n); \ 00067 lapack_int ldvs = internal::convert_index<lapack_int>(m_matU.outerStride()); \ 00068 m_matT = matrix; \ 00069 lapack_int lda = internal::convert_index<lapack_int>(m_matT.outerStride()); \ 00070 Matrix<EIGTYPE, Dynamic, Dynamic> w; \ 00071 w.resize(n, 1);\ 00072 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 ); \ 00073 if(info == 0) \ 00074 m_info = Success; \ 00075 else \ 00076 m_info = NoConvergence; \ 00077 \ 00078 m_isInitialized = true; \ 00079 m_matUisUptodate = computeU; \ 00080 return *this; \ 00081 \ 00082 } 00083 00084 EIGEN_LAPACKE_SCHUR_COMPLEX(dcomplex, lapack_complex_double, z, Z, ColMajor, LAPACK_COL_MAJOR) 00085 EIGEN_LAPACKE_SCHUR_COMPLEX(scomplex, lapack_complex_float, c, C, ColMajor, LAPACK_COL_MAJOR) 00086 EIGEN_LAPACKE_SCHUR_COMPLEX(dcomplex, lapack_complex_double, z, Z, RowMajor, LAPACK_ROW_MAJOR) 00087 EIGEN_LAPACKE_SCHUR_COMPLEX(scomplex, lapack_complex_float, c, C, RowMajor, LAPACK_ROW_MAJOR) 00088 00089 } // end namespace Eigen 00090 00091 #endif // EIGEN_COMPLEX_SCHUR_LAPACKE_H