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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 DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )
*
* -- 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_IMPL_ORGLQ_TCC
#define FLENS_LAPACK_IMPL_ORGLQ_TCC 1
#include <flens/blas/blas.h>
#include <flens/lapack/lapack.h>
namespace flens { namespace lapack {
//== generic lapack implementation =============================================
namespace generic {
//-- orglq ---------------------------------------------------------------------
template <typename MA, typename VTAU, typename VWORK>
void
orglq_impl(GeMatrix<MA> &A, const DenseVector<VTAU> &tau,
DenseVector<VWORK> &work)
{
using std::max;
using std::min;
typedef typename GeMatrix<MA>::IndexType IndexType;
typedef typename GeMatrix<MA>::ElementType T;
const Underscore<IndexType> _;
const IndexType m = A.numRows();
const IndexType n = A.numCols();
const IndexType k = tau.length();
const T Zero(0);
//
// Perform and apply workspace query
//
IndexType nb = ilaenv<T>(1, "ORGLQ", "", m, n, k);
const IndexType lWorkOpt = max(IndexType(1), m) * nb;
if (work.length()==0) {
work.resize(max(lWorkOpt,IndexType(1)));
work(1)=lWorkOpt;
}
//
// Quick return if possible
//
if (m<=0) {
work(1) = 1;
return;
}
IndexType nbMin = 2;
IndexType nx = 0;
IndexType iws = m;
if ((nb>1) && (nb<k)) {
//
// Determine when to cross over from blocked to unblocked code.
//
nx = max(IndexType(0), IndexType(ilaenv<T>(3, "ORGLQ", "", m, n, k)));
if (nx<k) {
//
// Determine if workspace is large enough for blocked code.
//
IndexType ldWork = m;
iws = ldWork *nb;
if (work.length()<iws) {
//
// Not enough workspace to use optimal NB: reduce NB and
// determine the minimum value of NB.
//
nb = work.length() / ldWork;
nbMin = max(IndexType(2),
IndexType(ilaenv<T>(2, "ORGLQ", "", m, n, k)));
}
}
}
IndexType ki = -1,
kk = -1;
if ((nb>=nbMin) && (nb<k) && (nx<k)) {
//
// Use blocked code after the last block.
// The first kk columns are handled by the block method.
//
ki = ((k-nx-1)/nb)*nb;
kk = min(k, ki+nb);
//
// Set A(kk+1:m,1:kk) to zero.
//
A(_(kk+1,m),_(1,kk)) = Zero;
} else {
kk = 0;
}
//
// Use unblocked code for the last or only block.
//
if (kk<n) {
orgl2(k-kk, A(_(kk+1,m),_(kk+1,n)), tau(_(kk+1, k)), work(_(1,m-kk)));
}
if (kk>0) {
typename GeMatrix<MA>::View Work(m, nb, work);
//
// Use blocked code
//
for (IndexType i=ki+1; i>=1; i-=nb) {
const IndexType ib = min(nb, k-i+1);
if (i+ib<=m) {
//
// Form the triangular factor of the block reflector
// H = H(i) H(i+1) . . . H(i+ib-1)
//
auto Tr = Work(_(1,ib),_(1,ib)).upper();
larft(Forward, RowWise,
n-i+1,
A(_(i,i+ib-1),_(i,n)),
tau(_(i,i+ib-1)),
Tr);
//
// Apply H to A(i:m,i+ib:n) from the left
//
larfb(Right, Trans, Forward, RowWise,
A(_(i,i+ib-1),_(i,n)),
Tr,
A(_(i+ib,m),_(i,n)),
Work(_(ib+1,m),_(1,ib)));
}
//
// Apply H to rows i:m of current block
//
orgl2(ib, A(_(i,i+ib-1),_(i,n)), tau(_(i,i+ib-1)), work(_(1,ib)));
//
// Set columns 1:i-1 of current block to zero
//
A(_(i,i+ib-1),_(1,i-1)) = Zero;
}
}
work(1) = iws;
}
} // namespace generic
//== interface for native lapack ===============================================
#ifdef USE_CXXLAPACK
namespace external {
//-- orglq ---------------------------------------------------------------------
template <typename MA, typename VTAU, typename VWORK>
void
orglq_impl(GeMatrix<MA> &A,
const DenseVector<VTAU> &tau,
DenseVector<VWORK> &work)
{
typedef typename GeMatrix<MA>::ElementType ElementType;
typedef typename GeMatrix<MA>::IndexType IndexType;
if (work.length()==0) {
ElementType WORK;
IndexType LWORK = -1;
cxxlapack::orglq<IndexType>(A.numRows(),
A.numCols(),
tau.length(),
A.data(),
A.leadingDimension(),
tau.data(),
&WORK,
LWORK);
work.resize(IndexType(WORK));
}
cxxlapack::orglq<IndexType>(A.numRows(),
A.numCols(),
tau.length(),
A.data(),
A.leadingDimension(),
tau.data(),
work.data(),
work.length());
}
} // namespace external
#endif // USE_CXXLAPACK
//== public interface ==========================================================
//-- orglq ---------------------------------------------------------------------
template <typename MA, typename VTAU, typename VWORK>
typename RestrictTo<IsRealGeMatrix<MA>::value
&& IsRealDenseVector<VTAU>::value
&& IsRealDenseVector<VWORK>::value,
void>::Type
orglq(MA &&A, const VTAU &tau, VWORK &&work)
{
//
// Remove references from rvalue types
//
# if !defined(NDEBUG) || defined(CHECK_CXXLAPACK)
typedef typename RemoveRef<MA>::Type MatrixA;
# endif
# ifdef CHECK_CXXLAPACK
typedef typename MatrixA::ElementType ElementType;
typedef typename RemoveRef<VWORK>::Type VectorWork;
# endif
//
// Test the input parameters
//
# ifndef NDEBUG
typedef typename MatrixA::IndexType IndexType;
ASSERT(A.firstRow()==IndexType(1));
ASSERT(A.firstCol()==IndexType(1));
ASSERT(tau.firstIndex()==IndexType(1));
ASSERT((work.length()==0) || (work.length()>=A.numRows()));
const IndexType m = A.numRows();
const IndexType n = A.numCols();
const IndexType k = tau.length();
ASSERT(n>=m);
ASSERT(m>=k);
ASSERT(k>=0);
# endif
//
// Make copies of output arguments
//
# ifdef CHECK_CXXLAPACK
typename MatrixA::NoView A_org = A;
typename VectorWork::NoView work_org = work;
# endif
//
// Call implementation
//
LAPACK_SELECT::orglq_impl(A, tau, work);
# ifdef CHECK_CXXLAPACK
//
// Restore output arguments
//
typename MatrixA::NoView A_generic = A;
typename VectorWork::NoView work_generic = work;
A = A_org;
if (work_org.length()!=0) {
work = work_org;
} else {
work = ElementType(0);
}
//
// Compare results
//
external::orglq_impl(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(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: orglq.tcc" << std::endl;
ASSERT(0);
} else {
// std::cerr << "passed: orglq.tcc" << std::endl;
}
# endif
}
//-- orglq [Variant with temporary workspace] ----------------------------------
template <typename MA, typename VTAU>
typename RestrictTo<IsRealGeMatrix<MA>::value
&& IsRealDenseVector<VTAU>::value,
void>::Type
orglq(MA &&A, const VTAU &tau)
{
typedef typename RemoveRef<MA>::Type::Vector WorkVector;
WorkVector work;
orglq(A, tau, work);
}
} } // namespace lapack, flens
#endif // FLENS_LAPACK_IMPL_ORGLQ_TCC
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