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/*
* Copyright (c) 2012, Michael Lehn, 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 DGESVD( JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, $ WORK, LWORK, INFO ) SUBROUTINE ZGESVD( JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, $ WORK, LWORK, RWORK, INFO ) * * -- LAPACK 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_GE_SVD_H #define FLENS_LAPACK_GE_SVD_H 1 #include <flens/matrixtypes/matrixtypes.h> #include <flens/vectortypes/vectortypes.h> namespace flens { namespace lapack { namespace SVD { enum Job { All = 'A', // = 'A': All columns are returned; Save = 'S', // = 'S': Only min(m,n) columns are returned; Overwrite = 'O', // = 'O': min(m,n) columns are saved in A None = 'N' // = 'N': No rows are computed. }; } //== (ge)svd =================================================================== #ifdef USE_CXXLAPACK // // Real variant // template <typename MA, typename VS, typename MU, typename MVT, typename VWORK> typename RestrictTo<IsRealGeMatrix<MA>::value && IsRealDenseVector<VS>::value && IsRealGeMatrix<MU>::value && IsRealGeMatrix<MVT>::value && IsRealDenseVector<VWORK>::value, void>::Type svd(SVD::Job jobU, SVD::Job jobVT, MA &&A, VS &&s, MU &&U, MVT &&VT, VWORK &&work); // // Complex variant // template <typename MA, typename VS, typename MU, typename MVT, typename VWORK, typename VRWORK> typename RestrictTo<IsComplexGeMatrix<MA>::value && IsRealDenseVector<VS>::value && IsComplexGeMatrix<MU>::value && IsComplexGeMatrix<MVT>::value && IsComplexDenseVector<VWORK>::value && IsRealDenseVector<VRWORK>::value, void>::Type svd(SVD::Job jobU, SVD::Job jobVT, MA &&A, VS &&s, MU &&U, MVT &&VT, VWORK &&work, VRWORK &&rwork); // // Real variant with temporary workspace // template <typename MA, typename VS, typename MU, typename MVT> typename RestrictTo<IsRealGeMatrix<MA>::value && IsRealDenseVector<VS>::value && IsRealGeMatrix<MU>::value && IsRealGeMatrix<MVT>::value, void>::Type svd(SVD::Job jobU, SVD::Job jobVT, MA &&A, VS &&s, MU &&U, MVT &&VT); // // Complex variant with temporary workspace // template <typename MA, typename VS, typename MU, typename MVT> typename RestrictTo<IsComplexGeMatrix<MA>::value && IsRealDenseVector<VS>::value && IsComplexGeMatrix<MU>::value && IsComplexGeMatrix<MVT>::value, void>::Type svd(SVD::Job jobU, SVD::Job jobVT, MA &&A, VS &&s, MU &&U, MVT &&VT); //== workspace query =========================================================== template <typename MA, typename VS, typename MU, typename MVT, typename VWORK> typename RestrictTo<IsGeMatrix<MA>::value, typename RemoveRef<MA>::Type::IndexType>::Type svd_wsq(SVD::Job jobU, SVD::Job jobVT, MA &&A); #endif // USE_CXXLAPACK } } // namespace lapack, flens #endif // FLENS_LAPACK_GE_SVD_H |