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/*
* Copyright (c) 2012, Michael Lehn * * 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. */ #ifndef FLENS_BLAS_CLOSURES_TWEAKS_R2K_H #define FLENS_BLAS_CLOSURES_TWEAKS_R2K_H 1 #include <cxxblas/cxxblas.h> #include <flens/blas/closures/tweaks/defaulteval.h> #include <flens/blas/closures/tweaks/rk.h> #include <flens/blas/operators/operators.h> #include <flens/matrixtypes/matrixtypes.h> #include <flens/typedefs.h> #include <flens/vectortypes/vectortypes.h> namespace flens { namespace blas { // // Real cases, i.e. not conjugated // // // Matrix closure of form: a1*MA1*MB1^T + a2*MB2*MA2^T // template <typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU1_ = MatrixClosure<OpAdd, MatrixClosureRKU1_<MA1, MB1>, MatrixClosureRKU1_<MB2, MA2> >; // // Matrix closure of form: MB + a1*MA1*MB1^T + a2*MB2*MA2^T // template <typename MB, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU1 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKU1_<MA1, MB1> >, MatrixClosureRKU1_<MB2, MA2> >; // // Matrix closure of form: MA1^T*MB1 + MB2^T*MA2 // template <typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU2_ = MatrixClosure<OpAdd, MatrixClosureRKU2_<MA1, MB1>, MatrixClosureRKU2_<MB2, MA2> >; // // Matrix closure of form: MB + MA1^T*MB1 + a2*MB2^T*MA2 // template <typename MB, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU2 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKU2_<MA1, MB1> >, MatrixClosureRKU2_<MB2, MA2> >; // // Matrix closure of form: a1*MA1^T*MB1 + a2*MB2^T*MA2 // template <typename SV, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU3_ = MatrixClosure<OpAdd, MatrixClosureRKU3_<SV, MA1, MB1>, MatrixClosureRKU3_<SV, MB2, MA2> >; // // Matrix closure of form: MB + MA1^T*MB1 + a2*MB2^T*MA2 // template <typename MB, typename SV, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KU3 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKU3_<SV, MA1, MB1> >, MatrixClosureRKU3_<SV, MB2, MA2> >; // // Complex cases // // // Matrix closure of form: a1*MA1*MB1^H + a2*MB2*MA2^H // template <typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC1_ = MatrixClosure<OpAdd, MatrixClosureRKC1_<MA1, MB1>, MatrixClosureRKC1_<MB2, MA2> >; // // Matrix closure of form: MB + a1*MA1*MB1^H + a2*MB2*MA2^H // template <typename MB, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC1 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKC1_<MA1, MB1> >, MatrixClosureRKC1_<MB2, MA2> >; // // Matrix closure of form: MA1^H*MB1 + MB2^H*MA2 // template <typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC2_ = MatrixClosure<OpAdd, MatrixClosureRKC2_<MA1, MB1>, MatrixClosureRKC2_<MB2, MA2> >; // // Matrix closure of form: MB + MA1^H*MB1 + a2*MB2^H*MA2 // template <typename MB, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC2 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKC2_<MA1, MB1> >, MatrixClosureRKC2_<MB2, MA2> >; // // Matrix closure of form: a1*MA1^H*MB1 + a2*MB2^H*MA2 // template <typename SV, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC3_ = MatrixClosure<OpAdd, MatrixClosureRKC3_<SV, MA1, MB1>, MatrixClosureRKC3_<SV, MB2, MA2> >; // // Matrix closure of form: MB + MA1^H*MB1 + a2*MB2^H*MA2 // template <typename MB, typename SV, typename MA1, typename MB1, typename MB2, typename MA2> using MatrixClosureR2KC3 = MatrixClosure<OpAdd, MatrixClosure<OpAdd, MB, MatrixClosureRKC3_<SV, MA1, MB1> >, MatrixClosureRKC3_<SV, MB2, MA2> >; //-- SymmetricMatrix ----------------------------------------------------------- // // Case 1: trans==NoTrans // // // C += a1*A1*B1^T + a2*B2*A2^T // template <typename ALPHA, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU1_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KU1_<MA1, MB1, MB2, MA2> &aABt_aBAt, MC &C); // // C = a*A*B^T + a*B*A^T // template <typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU1_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU1_<MA1, MB1, MB2, MA2> &aABt_aBAt, MC &C); // // C = b*D + a*A*B^T + a*B*A^T // template <typename MD, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU1<MD, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU1<MD, MA1, MB1, MB2, MA2> &bD_aABt_aBAt, MC &C); // // Case 2: trans==Trans, alpha==1 // // // C += A^T*B + B^T*A // template <typename ALPHA, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU2_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KU2_<MA1, MB1, MB2, MA2> &AtB_BtA, MC &C); // // C = A^T*B + B^T*A // template <typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU2_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU2_<MA1, MB1, MB2, MA2> &AtB_BtA, MC &C); // // C = b*D + A^T*B + B^T*A // template <typename MD, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU2<MD, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU2<MD, MA1, MB1, MB2, MA2> &bD_AtB_BtA, MC &C); // // Case 3: trans==Trans, alpha // // // C += a*A^T*B + a*B^T*A // template <typename ALPHA, typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU3_<SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KU3_<SV, MA1, MB1, MB2, MA2> &aAtB_aBtA, MC &C); // // C = a*A^T*B + a*B^T*A // template <typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU3_<SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU3_<SV, MA1, MB1, MB2, MA2> &aAtB_aBtA, MC &C); // // C = b*D + a*A^T*B + a*B^T*A // template <typename MD, typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KU3<MD, SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KU3<MD, SV, MA1, MB1, MB2, MA2> &bD_aAtB_aBtA, MC &C); //-- HermitianMatrix ----------------------------------------------------------- // // Case 1: trans==NoTrans // // // C += a1*A1*B1^H + a2*B2*A2^H // template <typename ALPHA, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC1_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KC1_<MA1, MB1, MB2, MA2> &aABt_aBAt, MC &C); // // C = a*A*B^H + a*B*A^H // template <typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC1_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC1_<MA1, MB1, MB2, MA2> &aABt_aBAt, MC &C); // // C = b*D + a*A*B^H + a*B*A^H // template <typename MD, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC1<MD, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC1<MD, MA1, MB1, MB2, MA2> &bD_aABt_aBAt, MC &C); // // Case 2: trans==ConjTrans, alpha==1 // // // C += A^H*B + B^H*A // template <typename ALPHA, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC2_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KC2_<MA1, MB1, MB2, MA2> &AtB_BtA, MC &C); // // C = A^H*B + B^H*A // template <typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC2_<MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC2_<MA1, MB1, MB2, MA2> &AtB_BtA, MC &C); // // C = b*D + A^H*B + B^H*A // template <typename MD, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC2<MD, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC2<MD, MA1, MB1, MB2, MA2> &bD_AtB_BtA, MC &C); // // Case 3: trans==ConjTrans, alpha // // // C += a*A^H*B + a*B^H*A // template <typename ALPHA, typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC3_<SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureR2KC3_<SV, MA1, MB1, MB2, MA2> &aAtB_aBtA, MC &C); // // C = a*A^H*B + a*B^H*A // template <typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC3_<SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC3_<SV, MA1, MB1, MB2, MA2> &aAtB_aBtA, MC &C); // // C = b*D + a*A^H*B + a*B^H*A // template <typename MD, typename SV, typename MA1, typename MB1, typename MB2, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureR2KC3<MD, SV, MA1, MB1, MB2, MA2> >::value && IsMatrix<MD>::value && IsMatrix<MA1>::value && IsMatrix<MB1>::value && IsMatrix<MB2>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureR2KC3<MD, SV, MA1, MB1, MB2, MA2> &bD_aAtB_aBtA, MC &C); } } // namespace blas, flens #endif // FLENS_BLAS_CLOSURES_TWEAKS_R2K_H |