|
1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 |
/*
* 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 DGBSV( N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO ) SUBROUTINE ZGBSV( N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO ) * * -- LAPACK driver routine (version 3.2) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * November 2006 */ #ifndef FLENS_LAPACK_GB_SV_TCC #define FLENS_LAPACK_GB_SV_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 { //-- (gb)sv [real and complex variant] ----------------------------------------- template <typename MA, typename VPIV, typename MB> typename GbMatrix<MA>::IndexType sv_impl(GbMatrix<MA> &A, DenseVector<VPIV> &piv, GeMatrix<MB> &B) { typedef typename GbMatrix<MA>::IndexType IndexType; const IndexType ku = A.numSuperDiags()-A.numSubDiags(); IndexType info = cxxlapack::gbsv<IndexType>(A.numRows(), A.numSubDiags(), ku, B.numCols(), A.data(), A.leadingDimension(), piv.data(), B.data(), B.leadingDimension()); ASSERT(info>=0); return info; } } // namespace external //== public interface ========================================================== //-- (gb)sv [real and complex variant] ----------------------------------------- template <typename MA, typename VPIV, typename MB> typename RestrictTo<IsGbMatrix<MA>::value && IsIntegerDenseVector<VPIV>::value && IsGeMatrix<MB>::value, typename RemoveRef<MA>::Type::IndexType>::Type sv(MA &&A, VPIV &&piv, MB &&B) { LAPACK_DEBUG_OUT("(gb)sv [real/complex]"); // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; if (piv.length()==0) { piv.resize(A.numRows()); } ASSERT(piv.length()==A.numRows()); // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); ASSERT(A.numRows()==A.numCols()); ASSERT(A.numSuperDiags()-A.numSubDiags()>=0); ASSERT(piv.stride()==1); ASSERT(B.firstRow()==1); ASSERT(B.firstCol()==1); ASSERT(B.numRows()==A.numRows()); # endif // // Call implementation // IndexType info = external::sv_impl(A, piv, B); return info; } //-- (gb)sv [variant if rhs is vector] ----------------------------------------- template <typename MA, typename VPIV, typename VB> typename RestrictTo<IsGbMatrix<MA>::value && IsIntegerDenseVector<VPIV>::value && IsDenseVector<VB>::value, typename RemoveRef<MA>::Type::IndexType>::Type sv(MA &&A, VPIV &&piv, VB &&b) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename RemoveRef<VB>::Type VectorB; typedef typename VectorB::ElementType ElementType; typedef typename VectorB::IndexType IndexType; const IndexType n = b.length(); const StorageOrder order = MatrixA::Engine::order; GeMatrix<FullStorageView<ElementType, order> > B(n, 1, b, n); return sv(A, piv, B); } #endif // USE_CXXLAPACK } } // namespace lapack, flens #endif // FLENS_LAPACK_GB_SV_TCC |