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/*
* SymmetricMatrix basic operation
*
* Authors:
* Marco Cecchetti <mrcekets at gmail.com>
*
* Copyright 2009 authors
*
* This library is free software; you can redistribute it and/or
* modify it either under the terms of the GNU Lesser General Public
* License version 2.1 as published by the Free Software Foundation
* (the "LGPL") or, at your option, under the terms of the Mozilla
* Public License Version 1.1 (the "MPL"). If you do not alter this
* notice, a recipient may use your version of this file under either
* the MPL or the LGPL.
*
* You should have received a copy of the LGPL along with this library
* in the file COPYING-LGPL-2.1; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
* You should have received a copy of the MPL along with this library
* in the file COPYING-MPL-1.1
*
* The contents of this file are subject to the Mozilla Public License
* Version 1.1 (the "License"); you may not use this file except in
* compliance with the License. You may obtain a copy of the License at
* http://www.mozilla.org/MPL/
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
* OF ANY KIND, either express or implied. See the LGPL or the MPL for
* the specific language governing rights and limitations.
*/
#ifndef _NL_SYMMETRIC_MATRIX_FS_OPERATION_H_
#define _NL_SYMMETRIC_MATRIX_FS_OPERATION_H_
#include <2geom/numeric/symmetric-matrix-fs.h>
#include <2geom/numeric/symmetric-matrix-fs-trace.h>
namespace Geom { namespace NL {
template <size_t N>
SymmetricMatrix<N> adj(const ConstBaseSymmetricMatrix<N> & S);
template <>
inline
SymmetricMatrix<2> adj(const ConstBaseSymmetricMatrix<2> & S)
{
SymmetricMatrix<2> result;
result.get<0,0>() = S.get<1,1>();
result.get<1,0>() = -S.get<1,0>();
result.get<1,1>() = S.get<0,0>();
return result;
}
template <>
inline
SymmetricMatrix<3> adj(const ConstBaseSymmetricMatrix<3> & S)
{
SymmetricMatrix<3> result;
result.get<0,0>() = S.get<1,1>() * S.get<2,2>() - S.get<1,2>() * S.get<2,1>();
result.get<1,0>() = S.get<0,2>() * S.get<2,1>() - S.get<0,1>() * S.get<2,2>();
result.get<1,1>() = S.get<0,0>() * S.get<2,2>() - S.get<0,2>() * S.get<2,0>();
result.get<2,0>() = S.get<0,1>() * S.get<1,2>() - S.get<0,2>() * S.get<1,1>();
result.get<2,1>() = S.get<0,2>() * S.get<1,0>() - S.get<0,0>() * S.get<1,2>();
result.get<2,2>() = S.get<0,0>() * S.get<1,1>() - S.get<0,1>() * S.get<1,0>();
return result;
}
template <size_t N>
inline
SymmetricMatrix<N> inverse(const ConstBaseSymmetricMatrix<N> & S)
{
SymmetricMatrix<N> result = adj(S);
double d = det(S);
assert (d != 0);
result.scale (1/d);
return result;
}
} /* end namespace NL*/ } /* end namespace Geom*/
#endif // _NL_SYMMETRIC_MATRIX_FS_OPERATION_H_
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 :
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