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Diffstat (limited to 'include/2geom/numeric/symmetric-matrix-fs-operation.h')
-rw-r--r-- | include/2geom/numeric/symmetric-matrix-fs-operation.h | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/include/2geom/numeric/symmetric-matrix-fs-operation.h b/include/2geom/numeric/symmetric-matrix-fs-operation.h new file mode 100644 index 0000000..c5aaa72 --- /dev/null +++ b/include/2geom/numeric/symmetric-matrix-fs-operation.h @@ -0,0 +1,102 @@ +/* + * 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 : |