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eigen/tvmet-1.7.1/include/tvmet/xpr/MtMProduct.h
Benoit Jacob 3036eeca0a Starting Eigen 2 development. The current plan is to use the last
release of tvmet (inactive for 2 years and developer unreachable) as the
basis for eigen2, because it provides seemingly good expression template
mechanisms, we want that, and it would take years to reinvent that
wheel. We'll see. So this commit imports the last tvmet release.
2007-05-30 06:24:51 +00:00

139 lines
4.0 KiB
C++

/*
* Tiny Vector Matrix Library
* Dense Vector Matrix Libary of Tiny size using Expression Templates
*
* Copyright (C) 2001 - 2003 Olaf Petzold <opetzold@users.sourceforge.net>
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* $Id: MtMProduct.h,v 1.15 2004/09/16 09:14:18 opetzold Exp $
*/
#ifndef TVMET_XPR_MTMPRODUCT_H
#define TVMET_XPR_MTMPRODUCT_H
#include <tvmet/meta/Gemtm.h>
#include <tvmet/loop/Gemtm.h>
namespace tvmet {
/**
* \class XprMtMProduct MtMProduct.h "tvmet/xpr/MtMProduct.h"
* \brief Expression for product of transposed(matrix)-matrix product.
* using formula
* \f[
* M_1^{T}\,M_2
* \f]
* \note The number of rows of rhs matrix have to be equal rows of rhs matrix,
* since lhs matrix 1 is transposed.
* The result is a (Cols1 x Cols2) matrix.
*/
template<class E1, std::size_t Rows1, std::size_t Cols1,
class E2, std::size_t Cols2>
class XprMtMProduct
: public TvmetBase< XprMtMProduct<E1, Rows1, Cols1, E2, Cols2> >
{
private:
XprMtMProduct();
XprMtMProduct& operator=(const XprMtMProduct&);
public:
typedef typename PromoteTraits<
typename E1::value_type,
typename E2::value_type
>::value_type value_type;
public:
/** Complexity counter. */
enum {
ops_lhs = E1::ops,
ops_rhs = E2::ops,
M = Rows1 * Cols1 * Cols2,
N = (Rows1-1) * Cols1 * Cols2,
ops_plus = M * NumericTraits<value_type>::ops_plus,
ops_muls = N * NumericTraits<value_type>::ops_muls,
ops = ops_plus + ops_muls,
use_meta = Cols1*Cols2 < TVMET_COMPLEXITY_MM_TRIGGER ? true : false
};
public:
/** Constructor. */
explicit XprMtMProduct(const E1& lhs, const E2& rhs)
: m_lhs(lhs), m_rhs(rhs)
{ }
/** Copy Constructor. Not explicit! */
#if defined(TVMET_OPTIMIZE_XPR_MANUAL_CCTOR)
XprMtMProduct(const XprMtMProduct& e)
: m_lhs(e.m_lhs), m_rhs(e.m_rhs) { }
#endif
private:
/** Wrapper for meta gemm. */
static inline
value_type do_gemtm(dispatch<true>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) {
return meta::gemtm<Rows1, Cols1,
Cols2,
0>::prod(lhs, rhs, i, j);
}
/** Wrapper for loop gemm. */
static inline
value_type do_gemtm(dispatch<false>, const E1& lhs, const E2& rhs, std::size_t i, std::size_t j) {
return loop::gemtm<Rows1, Cols1,
Cols2>::prod(lhs, rhs, i, j);
}
public:
/** index operator for arrays/matrices */
value_type operator()(std::size_t i, std::size_t j) const {
TVMET_RT_CONDITION((i < Cols1) && (j < Cols2), "XprMtMProduct Bounce Violation")
return do_gemtm(dispatch<use_meta>(), m_lhs, m_rhs, i, j);
}
public: // debugging Xpr parse tree
void print_xpr(std::ostream& os, std::size_t l=0) const {
os << IndentLevel(l++)
<< "XprMtMProduct["
<< (use_meta ? "M" : "L") << ", O=" << ops
<< ", (O1=" << ops_lhs << ", O2=" << ops_rhs << ")]<"
<< std::endl;
m_lhs.print_xpr(os, l);
os << IndentLevel(l)
<< "R1=" << Rows1 << ", C1=" << Cols1 << ",\n";
m_rhs.print_xpr(os, l);
os << IndentLevel(l)
<< "C2=" << Cols2 << ",\n"
<< IndentLevel(l)
<< "\n"
<< IndentLevel(--l)
<< ">," << std::endl;
}
private:
const E1 m_lhs;
const E2 m_rhs;
};
} // namespace tvmet
#endif // TVMET_XPR_MTMPRODUCT_H
// Local Variables:
// mode:C++
// End: