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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 DSYSV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
$ LWORK, INFO )
SUBROUTINE ZSYSV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
$ LWORK, 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_SY_SV_TCC
#define FLENS_LAPACK_SY_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 {
//-- (sy)sv [real and complex variant] -----------------------------------------
template <typename MA, typename VPIV, typename MB, typename VWORK>
typename SyMatrix<MA>::IndexType
sv_impl(SyMatrix<MA> &A, DenseVector<VPIV> &piv, GeMatrix<MB> &B,
DenseVector<VWORK> &work)
{
typedef typename SyMatrix<MA>::IndexType IndexType;
typedef typename SyMatrix<MA>::ElementType ElementType;
if (work.length()==0) {
ElementType WORK;
IndexType LWORK = -1;
cxxlapack::sysv<IndexType>(getF77Char(A.upLo()),
A.dim(),
B.numCols(),
A.data(),
A.leadingDimension(),
piv.data(),
B.data(),
B.leadingDimension(),
&WORK,
LWORK);
work.resize(real(WORK));
}
IndexType info = cxxlapack::sysv<IndexType>(getF77Char(A.upLo()),
A.dim(),
B.numCols(),
A.data(),
A.leadingDimension(),
piv.data(),
B.data(),
B.leadingDimension(),
work.data(),
work.length());
ASSERT(info>=0);
return info;
}
} // namespace external
//== public interface ==========================================================
//-- (sy)sv [real and complex variant] -----------------------------------------
template <typename MA, typename VPIV, typename MB, typename VWORK>
typename RestrictTo<IsSyMatrix<MA>::value
&& IsIntegerDenseVector<VPIV>::value
&& IsGeMatrix<MB>::value
&& IsDenseVector<VWORK>::value,
typename RemoveRef<MA>::Type::IndexType>::Type
sv(MA &&A, VPIV &&piv, MB &&B, VWORK &&work)
{
LAPACK_DEBUG_OUT("(sy)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.dim());
}
ASSERT(piv.length()==A.dim());
//
// Test the input parameters
//
# ifndef NDEBUG
ASSERT(A.firstRow()==1);
ASSERT(A.firstCol()==1);
ASSERT(piv.stride()==1);
ASSERT(B.firstRow()==1);
ASSERT(B.firstCol()==1);
ASSERT(B.numRows()==A.dim());
# endif
//
// Call implementation
//
IndexType info = external::sv_impl(A, piv, B, work);
return info;
}
//-- (sy)sv [real and complex variant, rhs is vector] --------------------------
template <typename MA, typename VPIV, typename VB, typename VWORK>
typename RestrictTo<IsSyMatrix<MA>::value
&& IsIntegerDenseVector<VPIV>::value
&& IsDenseVector<VB>::value
&& IsDenseVector<VWORK>::value,
typename RemoveRef<MA>::Type::IndexType>::Type
sv(MA &&A, VPIV &&piv, VB &&b, VWORK && work)
{
//
// 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::noViewOrder;
GeMatrix<FullStorageView<ElementType, order> > B(n, 1, b);
return sv(A, piv, B, work);
}
//-- (sy)sv [real and complex variant with temporary workspace] ----------------
template <typename MA, typename VPIV, typename VB>
typename RestrictTo<IsSyMatrix<MA>::value
&& IsIntegerDenseVector<VPIV>::value
&& IsDenseVector<VB>::value,
typename RemoveRef<MA>::Type::IndexType>::Type
sv(MA &&A, VPIV &&piv, VB &&b)
{
typedef typename RemoveRef<MA>::Type::Vector WorkVector;
WorkVector work;
return sv(A, piv, b);
}
#endif // USE_CXXLAPACK
} } // namespace lapack, flens
#endif // FLENS_LAPACK_SY_SV_TCC
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