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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 DORMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,
$ WORK, 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_ORMR3_TCC
#define FLENS_LAPACK_IMPL_ORMR3_TCC 1
#include <flens/blas/blas.h>
#include <flens/lapack/lapack.h>
namespace flens { namespace lapack {
//== generic lapack implementation =============================================
namespace generic {
//-- ormr3 [real variant] ------------------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename MC,
typename VWORK>
void
ormr3_impl(Side side,
Transpose trans,
IndexType l,
const GeMatrix<MA> &A,
const DenseVector<VTAU> &tau,
GeMatrix<MC> &C,
DenseVector<VWORK> &work)
{
const IndexType k = tau.length();
const IndexType m = C.numRows();
const IndexType n = C.numCols();
const IndexType na = A.numCols();
const IndexType ja = na-l+1;
const Underscore<IndexType> _;
//
// Quick return if possible
//
if (m==0 || n==0 || k==0) {
return;
}
IndexType iBeg, iInc, iEnd;
if ((side==Left && trans!=NoTrans) || (side==Right && trans==NoTrans)) {
iBeg = 1;
iEnd = k;
iInc = 1;
} else {
iBeg = k;
iEnd = 1;
iInc = -1;
}
iEnd += iInc;
IndexType ic, jc;
if (side==Left) {
jc = 1;
} else {
ic = 1;
}
for (IndexType i=iBeg; i!=iEnd; i+=iInc) {
if (side==Left) {
//
// H(i) or H(i)**T is applied to C(i:m,1:n)
//
ic = i;
} else {
//
// H(i) or H(i)**T is applied to C(1:m,i:n)
//
jc = i;
}
//
// Apply H(i) or H(i)**T
//
larz(side, A(i,_(ja,na)), tau(i), C(_(ic,m),_(jc,n)), work);
}
}
} // namespace generic
//== interface for native lapack ===============================================
#ifdef USE_CXXLAPACK
namespace external {
//-- ormr3 [real variant] ------------------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename MC,
typename VWORK>
void
ormr3_impl(Side side,
Transpose trans,
IndexType l,
const GeMatrix<MA> &A,
const DenseVector<VTAU> &tau,
GeMatrix<MC> &C,
DenseVector<VWORK> &work)
{
cxxlapack::ormr3(getF77Char(side),
getF77Char(trans),
C.numRows(),
C.numCols(),
tau.length(),
l,
A.data(),
A.leadingDimension(),
tau.data(),
C.data(),
C.leadingDimension(),
work.data());
}
} // namespace external
#endif // USE_CXXLAPACK
//== public interface ==========================================================
//-- ormr3[real variant] ------------------------------------------------------
template <typename IndexType, typename MA, typename VTAU, typename MC,
typename VWORK>
typename RestrictTo<IsInteger<IndexType>::value
&& IsRealGeMatrix<MA>::value
&& IsRealDenseVector<VTAU>::value
&& IsRealGeMatrix<MC>::value
&& IsRealDenseVector<VWORK>::value,
void>::Type
ormr3(Side side,
Transpose trans,
IndexType l,
const MA &A,
const VTAU &tau,
MC &&C,
VWORK &&work)
{
//
// Remove references from rvalue types
//
# ifdef CHECK_CXXLAPACK
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();
const IndexType k = tau.length();
if (side==Left) {
ASSERT(m>=k);
ASSERT(A.numCols()==m);
ASSERT(work.length()==n);
} else {
ASSERT(n>=k);
ASSERT(A.numCols()==n);
ASSERT(work.length()==m);
}
ASSERT(A.numRows()==k);
# endif
//
// Make copies of output arguments
//
# ifdef CHECK_CXXLAPACK
typename MatrixC::NoView C_org = C;
typename VectorWork::NoView work_org = work;
# endif
//
// Call implementation
//
LAPACK_SELECT::ormr3_impl(side, trans, l, A, tau, C, work);
# ifdef CHECK_CXXLAPACK
//
// Make copies of results computed by the generic implementation
//
typename MatrixC::NoView C_generic = C;
typename VectorWork::NoView work_generic = work;
//
// restore output arguments
//
C = C_org;
work = work_org;
//
// Compare generic results with results from the native implementation
//
external::ormr3_impl(side, trans, l, A, tau, C, work);
bool failed = false;
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: ormr3.tcc" << std::endl;
ASSERT(0);
} else {
// std::cerr << "passed: ormr3.tcc" << std::endl;
}
# endif
}
} } // namespace lapack, flens
#endif // FLENS_LAPACK_IMPL_ORMR3_TCC
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