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/*
* Copyright (c) 2011, 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_RK_H #define FLENS_BLAS_CLOSURES_TWEAKS_RK_H 1 #include <flens/blas/closures/tweaks/defaulteval.h> #include <flens/blas/closures/tweaks/r.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: MA1*MA2^T // template <typename MA1, typename MA2> using MatrixClosureRKU1_ = MatrixClosure<OpMult, MA1, MatrixClosureOpTrans<MA2> >; // // Matrix closure of form: MB + MA1*MA2^T // template <typename MB, typename MA1, typename MA2> using MatrixClosureRKU1 = MatrixClosure<OpAdd, MB, MatrixClosureRKU1_<MA1, MA2> >; // // Matrix closure of form: MA1^T*MA2 // template <typename MA1, typename MA2> using MatrixClosureRKU2_ = MatrixClosure<OpMult, MatrixClosureOpTrans<MA1>, MA2 >; // // Matrix closure of form: MB + MA1^T*MA2 // template <typename MB, typename MA1, typename MA2> using MatrixClosureRKU2 = MatrixClosure<OpAdd, MB, MatrixClosureRKU2_<MA1, MA2> >; // // Matrix closure of form: (SV*MA1^T)*MA2 // template <typename SV, typename MA1, typename MA2> using MatrixClosureRKU3_ = MatrixClosure<OpMult, MatrixClosure<OpMult, ScalarValue<SV>, MatrixClosureOpTrans<MA1> >, MA2 >; // // Matrix closure of form: MB + (SV*MA1^T)*MA2 // template <typename MB, typename SV, typename MA1, typename MA2> using MatrixClosureRKU3 = MatrixClosure<OpAdd, MB, MatrixClosureRKU3_<SV, MA1, MA2> >; // // Complex cases // // // Matrix closure of form: MA1*MA2^H // template <typename MA1, typename MA2> using MatrixClosureRKC1_ = MatrixClosure<OpMult, MA1, MatrixClosureOpConjTrans<MA2> >; // // Matrix closure of form: MB + MA1*MA2^H // template <typename MB, typename MA1, typename MA2> using MatrixClosureRKC1 = MatrixClosure<OpAdd, MB, MatrixClosureRKC1_<MA1, MA2> >; // // Matrix closure of form: MA1^H*MA2 // template <typename MA1, typename MA2> using MatrixClosureRKC2_ = MatrixClosure<OpMult, MatrixClosureOpConjTrans<MA1>, MA2 >; // // Matrix closure of form: MB + MA1^H*MA2 // template <typename MB, typename MA1, typename MA2> using MatrixClosureRKC2 = MatrixClosure<OpAdd, MB, MatrixClosureRKC2_<MA1, MA2> >; // // Matrix closure of form: (SV*MA1^H)*MA2 // template <typename SV, typename MA1, typename MA2> using MatrixClosureRKC3_ = MatrixClosure<OpMult, MatrixClosure<OpMult, ScalarValue<SV>, MatrixClosureOpConjTrans<MA1> >, MA2 >; // // Matrix closure of form: MB + (SV*MA1^H)*MA2 // template <typename MB, typename SV, typename MA1, typename MA2> using MatrixClosureRKC3 = MatrixClosure<OpAdd, MB, MatrixClosureRKC3_<SV, MA1, MA2> >; //-- SymmetricMatrix ----------------------------------------------------------- // // Case 1: trans==NoTrans // // // C += a*A*A^T // template <typename ALPHA, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU1_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKU1_<MA1, MA2> &aAAt, MC &C); // // C = a*A*A^T // template <typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU1_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU1_<MA1, MA2> &aAAt, MC &C); // // C = b*B + a*A*A^T // template <typename MB, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU1<MB, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU1<MB, MA1, MA2> &bB_aAAt, MC &C); // // Case 2: trans==Trans, alpha==1 // // // C += A^T*A // template <typename ALPHA, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU2_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKU2_<MA1, MA2> &AtA, MC &C); // // C = A^T*A // template <typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU2_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU2_<MA1, MA2> &AtA, MC &C); // // C = b*B + A^T*A // template <typename MB, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU2<MB, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU2<MB, MA1, MA2> &bB_AtA, MC &C); // // Case 3: trans==Trans, alpha // // // C += a*A^T*A // template <typename ALPHA, typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU3_<SV, MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKU3_<SV, MA1, MA2> &aAtA, MC &C); // // C = a*A^T*A // template <typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU3_<SV, MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU3_<SV, MA1, MA2> &aAtA, MC &C); // // C = b*B + a*A^T*A // template <typename MB, typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKU3<MB, SV, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsSymmetricMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKU3<MB, SV, MA1, MA2> &bB_AtA, MC &C); //-- HermitianMatrix ----------------------------------------------------------- // // Case 1: trans==NoTrans // // // C += a*A*A^H // template <typename ALPHA, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC1_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKC1_<MA1, MA2> &aAAh, MC &C); // // C = a*A*A^H // template <typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC1_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC1_<MA1, MA2> &aAAh, MC &C); // // C = b*B + a*A*A^H // template <typename MB, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC1<MB, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC1<MB, MA1, MA2> &bB_aAAh, MC &C); // // Case 2: trans==Trans, alpha==1 // // // C += A^H*A // template <typename ALPHA, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC2_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKC2_<MA1, MA2> &AhA, MC &C); // // C = A^H*A // template <typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC2_<MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC2_<MA1, MA2> &AhA, MC &C); // // C = b*B + A^H*A // template <typename MB, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC2<MB, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC2<MB, MA1, MA2> &bB_AhA, MC &C); // // Case 3: trans==Trans, alpha // // // C += a*A^H*A // template <typename ALPHA, typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC3_<SV, MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type axpy(Transpose trans, const ALPHA &alpha, const MatrixClosureRKC3_<SV, MA1, MA2> &aAtA, MC &C); // // C = a*A^H*A // template <typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC3_<SV, MA1, MA2> >::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC3_<SV, MA1, MA2> &aAtA, MC &C); // // C = b*B + a*A^H*A // template <typename MB, typename SV, typename MA1, typename MA2, typename MC> typename RestrictTo<DefaultEval<MatrixClosureRKC3<MB, SV, MA1, MA2> >::value && IsMatrix<MB>::value && IsMatrix<MA1>::value && IsMatrix<MA2>::value && IsHermitianMatrix<MC>::value, void>::Type copy(Transpose trans, const MatrixClosureRKC3<MB, SV, MA1, MA2> &bB_AtA, MC &C); } } // namespace blas, flens #endif // FLENS_BLAS_CLOSURES_TWEAKS_RK_H |