Eigen  3.3.3
ComplexSchur_LAPACKE.h
00001 /*
00002  Copyright (c) 2011, Intel Corporation. All rights reserved.
00003 
00004  Redistribution and use in source and binary forms, with or without modification,
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00006 
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00014    specific prior written permission.
00015 
00016  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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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;
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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
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