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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.
*/
/* Based on
*
SUBROUTINE ZUNMHR( SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C,
$ LDC, WORK, LWORK, INFO )
*
* -- LAPACK 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_IMPL_UNMHR_TCC
#define FLENS_LAPACK_IMPL_UNMHR_TCC 1
#include <flens/blas/blas.h>
#include <flens/lapack/lapack.h>
namespace flens { namespace lapack {
//== generic lapack implementation =============================================
namespace generic {
template <typename IndexType, typename MC>
IndexType
unmhr_wsq_impl(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
const GeMatrix<MC> &C)
{
using std::max;
typedef typename GeMatrix<MC>::ElementType T;
const IndexType m = C.numRows();
const IndexType n = C.numCols();
const IndexType nh = iHi - iLo;
//
// nw is the minimum dimension of WORK
//
const IndexType nw = (side==Left) ? n : m;
// TODO: implement a better way for setting up the opt string
char opt[3];
opt[0] = getF77Char(side);
opt[1] = getF77Char(trans);
opt[2] = 0;
IndexType nb;
if (side==Left) {
nb = ilaenv<T>(1, "UNMQR", opt, nh, n, nh);
} else {
nb = ilaenv<T>(1, "UNMQR", opt, m, nh, nh);
}
return max(IndexType(1), nw)*nb;
}
template <typename IndexType, typename MA, typename VTAU,
typename MC, typename VWORK>
void
unmhr_impl(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
GeMatrix<MA> &A,
const DenseVector<VTAU> &tau,
GeMatrix<MC> &C,
DenseVector<VWORK> &work)
{
using std::max;
typedef typename GeMatrix<MC>::ElementType T;
const Underscore<IndexType> _;
const IndexType m = C.numRows();
const IndexType n = C.numCols();
const IndexType nh = iHi - iLo;
//
// nw is the minimum dimension of WORK
//
const IndexType nw = (side==Left) ? n : m;
// TODO: implement a better way for setting up the opt string
char opt[3];
opt[0] = getF77Char(side);
opt[1] = getF77Char(trans);
opt[2] = 0;
IndexType nb;
if (side==Left) {
nb = ilaenv<T>(1, "UNMQR", opt, nh, n, nh);
} else {
nb = ilaenv<T>(1, "UNMQR", opt, m, nh, nh);
}
IndexType lWorkOpt = max(IndexType(1), nw)*nb;
//
// Apply worksize query
//
if (work.length()==0) {
work.resize(lWorkOpt);
}
//
// Quick return if possible
//
if ((m==0) || (n==0) || (nh==0)) {
work(1) = 1;
return;
}
const auto tau_ = tau(_(iLo,iHi-1));
auto A_ = A(_(iLo+1,iHi),_(iLo,iHi-1));
if (side==Left) {
auto C_ = C(_(iLo+1,iHi),_);
unmqr(Left, trans, A_, tau_, C_, work);
} else {
auto C_ = C(_,_(iLo+1,iHi));
unmqr(Right, trans, A_, tau_, C_, work);
}
work(1) = lWorkOpt;
}
} // namespace generic
//== interface for native lapack ===============================================
#ifdef USE_CXXLAPACK
namespace external {
template <typename IndexType, typename MC>
IndexType
unmhr_wsq_impl(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
const GeMatrix<MC> &C)
{
using std::max;
typedef typename GeMatrix<MC>::ElementType ElementType;
IndexType m = C.numRows();
IndexType n = C.numCols();
const IndexType LDA = (side==Left) ? max(IndexType(1), m)
: max(IndexType(1), n);
ElementType WORK, DUMMY;
const IndexType LWORK = -1;
cxxlapack::unmhr<IndexType>(getF77Char(side),
getF77Char(trans),
C.numRows(),
C.numCols(),
iLo,
iHi,
&DUMMY,
LDA,
&DUMMY,
&DUMMY,
C.leadingDimension(),
&WORK,
LWORK);
return real(WORK);
}
template <typename IndexType, typename MA, typename VTAU,
typename MC, typename VWORK>
void
unmhr_impl(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
GeMatrix<MA> &A,
const DenseVector<VTAU> &tau,
GeMatrix<MC> &C,
DenseVector<VWORK> &work)
{
cxxlapack::unmhr<IndexType>(getF77Char(side),
getF77Char(trans),
C.numRows(),
C.numCols(),
iLo,
iHi,
A.data(),
A.leadingDimension(),
tau.data(),
C.data(),
C.leadingDimension(),
work.data(),
work.length());
}
} // namespace external
#endif // USE_CXXLAPACK
//== public interface ==========================================================
template <typename IndexType, typename MC>
IndexType
unmhr_wsq(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
const GeMatrix<MC> &C)
{
LAPACK_DEBUG_OUT("unmhr_wsq");
//
// Test the input parameters
//
# ifndef NDEBUG
const IndexType m = C.numRows();
const IndexType n = C.numCols();
if (side==Left) {
if (m==0) {
ASSERT(iLo==1);
ASSERT(iHi==0);
} else {
ASSERT(1<=iLo);
ASSERT(iLo<=iHi);
ASSERT(iHi<=m);
}
}
if (side==Right) {
if (n==0) {
ASSERT(iLo==1);
ASSERT(iHi==0);
} else {
ASSERT(1<=iLo);
ASSERT(iLo<=iHi);
ASSERT(iHi<=n);
}
}
# endif
//
// Call implementation
//
IndexType ws = LAPACK_SELECT::unmhr_wsq_impl(side, trans, iLo, iHi, C);
//
// Compare results
//
# ifdef CHECK_CXXLAPACK
IndexType ws_ = external::unmhr_wsq_impl(side, trans, iLo, iHi, C);
if (ws!=ws_) {
std::cerr << "CXXLAPACK: ws = " << ws << std::endl;
std::cerr << "F77LAPACK: ws_ = " << ws_ << std::endl;
ASSERT(0);
}
# endif
return ws;
}
template <typename IndexType, typename MA, typename VTAU,
typename MC, typename VWORK>
typename RestrictTo<IsComplexGeMatrix<MA>::value
&& IsComplexDenseVector<VTAU>::value
&& IsComplexGeMatrix<MC>::value
&& IsComplexDenseVector<VWORK>::value,
void>::Type
unmhr(Side side,
Transpose trans,
IndexType iLo,
IndexType iHi,
MA &&A,
const VTAU &&tau,
MC &&C,
VWORK &&work)
{
LAPACK_DEBUG_OUT("unmhr");
using std::max;
//
// Remove references from rvalue types
//
# ifdef CHECK_CXXLAPACK
typedef typename RemoveRef<MA>::Type MatrixA;
typedef typename RemoveRef<MC>::Type MatrixC;
typedef typename RemoveRef<VWORK>::Type VectorWork;
# endif
//
// Test the input parameters
//
# ifndef NDEBUG
const IndexType m = C.numRows();
const IndexType n = C.numCols();
ASSERT(A.firstRow()==1);
ASSERT(A.firstCol()==1);
ASSERT(tau.firstIndex()==1);
if (side==Left) {
if (m==0) {
ASSERT(iLo==1);
ASSERT(iHi==0);
} else {
ASSERT(1<=iLo);
ASSERT(iLo<=iHi);
ASSERT(iHi<=m);
}
}
if (side==Right) {
if (n==0) {
ASSERT(iLo==1);
ASSERT(iHi==0);
} else {
ASSERT(1<=iLo);
ASSERT(iLo<=iHi);
ASSERT(iHi<=n);
}
}
ASSERT((side==Left && A.numCols()==m)
|| (side==Right && A.numCols()==n));
ASSERT((side==Left && tau.length()==(m-1))
|| (side==Right && tau.length()==(n-1)));
ASSERT((side==Left && work.length()>=max(IndexType(1),n))
|| (side==Right && work.length()>=max(IndexType(1),m)));
# endif
//
// Make copies of output arguments
//
# ifdef CHECK_CXXLAPACK
typename MatrixA::NoView A_org = A;
typename MatrixC::NoView C_org = C;
typename VectorWork::NoView work_org = work;
# endif
//
// Call implementation
//
LAPACK_SELECT::unmhr_impl(side, trans, iLo, iHi, A, tau, C, work);
# ifdef CHECK_CXXLAPACK
//
// Make copies of results computed by the generic implementation
//
typename MatrixA::NoView A_generic = A;
typename MatrixC::NoView C_generic = C;
typename VectorWork::NoView work_generic = work;
//
// restore output arguments
//
A = A_org;
C = C_org;
work = work_org;
//
// Compare generic results with results from the native implementation
//
external::unmhr_impl(side, trans, iLo, iHi, A, tau, C, 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(C_generic, C, "C_generic", "C")) {
std::cerr << "CXXLAPACK: C_generic = " << C_generic << std::endl;
std::cerr << "F77LAPACK: C = " << C << 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: unmhr.tcc" << std::endl;
ASSERT(0);
} else {
// std::cerr << "passed: unmhr.tcc" << std::endl;
}
# endif
}
} } // namespace lapack, flens
#endif // FLENS_LAPACK_IMPL_UNMHR_TCC
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