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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.
*/
/* Based on
*
SUBROUTINE DLATRZ( M, N, L, A, LDA, TAU, WORK )
*
* -- 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_LA_LATRZ_TCC
#define FLENS_LAPACK_LA_LATRZ_TCC 1
#include <flens/lapack/lapack.h>
#include <flens/matrixtypes/matrixtypes.h>
#include <flens/vectortypes/vectortypes.h>
namespace flens { namespace lapack {
//== generic lapack implementation =============================================
namespace generic {
//-- latrz [real variant] ------------------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename VWORK>
typename
RestrictTo<IsRealGeMatrix<GeMatrix<MA> >::value,
void>::Type
latrz_impl(IndexType l,
GeMatrix<MA> &A,
DenseVector<VTAU> &tau,
DenseVector<VWORK> &work)
{
typedef typename GeMatrix<MA>::ElementType ElementType;
const Underscore<IndexType> _;
const ElementType Zero(0);
const IndexType m = A.numRows();
const IndexType n = A.numCols();
//
// Quick return if possible
//
if (m==0) {
return;
} else if (m==n) {
tau = Zero;
return;
}
for (IndexType i=m; i>=1; --i) {
//
// Generate elementary reflector H(i) to annihilate
// [ A(i,i) A(i,n-l+1:n) ]
//
larfg(l+1, A(i,i), A(i,_(n-l+1,n)), tau(i));
//
// Apply H(i) to A(1:i-1,i:n) from the right
//
auto work_ = work(_(1,i-1));
larz(Right, A(i,_(n-l+1,n)), tau(i), A(_(1,i-1),_(i,n)), work_);
}
}
template <typename IndexType, typename MA, typename VTAU, typename VWORK>
typename
RestrictTo<IsComplexGeMatrix<GeMatrix<MA> >::value,
void>::Type
latrz_impl(IndexType l,
GeMatrix<MA> &A,
DenseVector<VTAU> &tau,
DenseVector<VWORK> &work)
{
typedef typename GeMatrix<MA>::ElementType ElementType;
const Underscore<IndexType> _;
const ElementType Zero(0);
ElementType alpha(0);
const IndexType m = A.numRows();
const IndexType n = A.numCols();
//
// Quick return if possible
//
if (m==0) {
return;
} else if (m==n) {
tau = Zero;
return;
}
for (IndexType i=m; i>=1; --i) {
//
// Generate elementary reflector H(i) to annihilate
// [ A(i,i) A(i,n-l+1:n) ]
//
A(i, _(n-l+1,n)) = conjugate(A(i, _(n-l+1,n)));
alpha = conjugate(A(i,i));
larfg(l+1, alpha, A(i,_(n-l+1,n)), tau(i));
tau(i) = conjugate(tau(i));
//
// Apply H(i) to A(1:i-1,i:n) from the right
//
auto work_ = work(_(1,i-1));
larz(Right, A(i,_(n-l+1,n)), conjugate(tau(i)),
A(_(1,i-1),_(i,n)), work_);
A(i,i) = conjugate(alpha);
}
}
} // namespace generic
//== interface for native lapack ===============================================
#ifdef USE_CXXLAPACK
namespace external {
//-- latrz [real and complex variant] ------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename VWORK>
void
latrz_impl(IndexType l,
GeMatrix<MA> &A,
DenseVector<VTAU> &tau,
DenseVector<VWORK> &work)
{
cxxlapack::latrz(A.numRows(),
A.numCols(),
l,
A.data(),
A.leadingDimension(),
tau.data(),
work.data());
}
} // namespace external
#endif // USE_CXXLAPACK
//== public interface ==========================================================
//-- latrz[real and complex variant] -------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename VWORK>
typename RestrictTo<IsInteger<IndexType>::value
&& IsGeMatrix<MA>::value
&& IsDenseVector<VTAU>::value
&& IsDenseVector<VWORK>::value,
void>::Type
latrz(IndexType l,
MA &&A,
VTAU &&tau,
VWORK &&work)
{
//
// Test the input parameters
//
# ifndef NDEBUG
const IndexType m = A.numRows();
const IndexType n = A.numCols();
ASSERT(n-m>=l);
ASSERT(tau.length()==m);
ASSERT(work.length()==m);
# endif
//
// Make copies of output arguments
//
# ifdef CHECK_CXXLAPACK
//
// Remove references from rvalue types
//
typedef typename RemoveRef<MA>::Type MatrixA;
typedef typename RemoveRef<VTAU>::Type VectorTau;
typedef typename RemoveRef<VWORK>::Type VectorWork;
typename MatrixA::NoView A_org = A;
typename VectorTau::NoView tau_org = tau;
typename VectorWork::NoView work_org = work;
# endif
//
// Call implementation
//
LAPACK_SELECT::latrz_impl(l, A, tau, work);
# ifdef CHECK_CXXLAPACK
//
// Make copies of results computed by the generic implementation
//
typename MatrixA::NoView A_generic = A;
typename VectorTau::NoView tau_generic = tau;
typename VectorWork::NoView work_generic = work;
//
// restore output arguments
//
A = A_org;
tau = tau_org;
work = work_org;
//
// Compare generic results with results from the native implementation
//
external::latrz_impl(l, A, tau, work);
bool failed = false;
if (! isIdentical(A_generic, A, "A_generic", "A")) {
std::cerr << "CXXLAPACK: A_generic = " << A_generic << std::endl;
std::cerr << "F77LAPACK: A = " << A << std::endl;
failed = true;
}
if (! isIdentical(tau_generic, tau, "tau_generic", "tau")) {
std::cerr << "CXXLAPACK: tau_generic = " << tau_generic << std::endl;
std::cerr << "F77LAPACK: tau = " << tau << std::endl;
failed = true;
}
if (! isIdentical(work_generic, work, "work_generic", "work")) {
std::cerr << "CXXLAPACK: work_generic = " << work_generic << std::endl;
std::cerr << "F77LAPACK: work = " << work << std::endl;
failed = true;
}
if (failed) {
std::cerr << "error in: latrz.tcc" << std::endl;
ASSERT(0);
} else {
// std::cerr << "passed: latrz.tcc" << std::endl;
}
# endif
}
} } // namespace lapack, flens
#endif // FLENS_LAPACK_LA_LATRZ_TCC
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