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/*
* Copyright (c) 2012, Klaus Pototzky * * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1) Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2) 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. * 3) Neither the name of the FLENS development group 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. */ /* Based on * SUBROUTINE ZHBEV( JOBZ, UPLO, N, KD, AB, LDAB, W, Z, LDZ, WORK, $ RWORK, INFO ) * * -- LAPACK driver routine (version 3.3.1) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * -- April 2011 -- */ #ifndef FLENS_LAPACK_HB_EV_TCC #define FLENS_LAPACK_HB_EV_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- (hb)ev [real variant] ----------------------------------------------------- template <typename MA, typename VW, typename MZ, typename VWORK, typename VRWORK> typename HbMatrix<MA>::IndexType ev_impl(bool computeZ, HbMatrix<MA> &A, DenseVector<VW> &w, GeMatrix<MZ> &Z, DenseVector<VWORK> &work, DenseVector<VRWORK> &rwork) { using std::max; typedef typename HbMatrix<MA>::IndexType IndexType; if (work.length()==0) { work.resize(A.dim(), 1); } if (rwork.length()==0) { rwork.resize(max(1, 3*A.dim()-2)); } IndexType info; info = cxxlapack::hbev(computeZ ? 'V' : 'N', getF77Char(A.upLo()), A.dim(), A.numOffDiags(), A.data(), A.leadingDimension(), w.data(), Z.data(), Z.leadingDimension(), work.data(), rwork.data()); ASSERT(info>=0); return info; } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== #ifdef USE_CXXLAPACK //-- (hb)ev [complex variant] ----------------------------------------------------- template <typename MA, typename VW, typename MZ, typename VWORK, typename VRWORK> typename RestrictTo<IsHbMatrix<MA>::value && IsRealDenseVector<VW>::value && IsComplexGeMatrix<MZ>::value && IsComplexDenseVector<VWORK>::value && IsRealDenseVector<VRWORK>::value, typename RemoveRef<MA>::Type::IndexType>::Type ev(bool computeZ, MA &&A, VW &&w, MZ &&Z, VWORK &&work, VRWORK &&rWork) { LAPACK_DEBUG_OUT("(hb)ev [complex]"); // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; typedef typename RemoveRef<VW>::Type VectorW; typedef typename RemoveRef<MZ>::Type MatrixZ; typedef typename RemoveRef<VWORK>::Type VectorWork; typedef typename RemoveRef<VRWORK>::Type VectorRWork; const IndexType n = A.numRows(); // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstIndex()==1); ASSERT(work.firstIndex()==1); ASSERT(rWork.firstIndex()==1); ASSERT(w.firstIndex()==1); ASSERT(w.length()==0 || w.length()==n); if (computeZ) { ASSERT(Z.numRows()==Z.numCols()); ASSERT(Z.numRows()==0 || Z.numRows()==n); ASSERT(Z.firstRow()==1); ASSERT(Z.firstCol()==1); } # endif // // Resize output arguments if they are empty and needed // if (w.length()==0) { w.resize(n, 1); } if (computeZ && Z.numRows()==0) { Z.resize(n, n, 1, 1); } // // Call external implementation // IndexType result = external::ev_impl(computeZ, A, w, Z, work, rWork); return result; } //-- (hb)ev [complex variant with temporary workspace] ------------------------- template <typename MA, typename VW, typename MZ> typename RestrictTo<IsHbMatrix<MA>::value && IsRealDenseVector<VW>::value && IsComplexGeMatrix<MZ>::value, typename RemoveRef<MA>::Type::IndexType>::Type ev(bool computeZ, MA &&A, VW &&w, MZ &&Z) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type::Vector WorkVector; typedef typename RemoveRef<MA>::Type::ElementType T; typedef typename ComplexTrait<T>::PrimitiveType PT; typedef DenseVector<Array<PT> > RealWorkVector; WorkVector work; RealWorkVector rwork; return ev(computeZ, A, w, Z, work, rwork); } #endif // USE_CXXLAPACK } } // namespace lapack, flens #endif // FLENS_LAPACK_HB_EV_TCC |