dust3d/thirdparty/cgal/CGAL-5.1/include/CGAL/determinant_of_vectors.h

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// Copyright (c) 2014
// INRIA Saclay-Ile de France (France)
//
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// This file is part of CGAL (www.cgal.org)
//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/NewKernel_d/include/CGAL/determinant_of_vectors.h $
// $Id: determinant_of_vectors.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : Marc Glisse
#ifndef CGAL_DETVEC_H
#define CGAL_DETVEC_H
#include <CGAL/determinant.h>
#include <CGAL/predicates/sign_of_determinant.h>
namespace CGAL {
// TODO: determine whether it is better to pass them by lines or columns.
template <class NT, class Vector> inline
NT determinant_of_vectors(Vector const&a, Vector const&b){
return determinant<NT>(a[0],a[1],b[0],b[1]);
}
template <class NT, class Vector> inline
typename Sgn<NT>::result_type
sign_of_determinant_of_vectors(Vector const&a, Vector const&b){
return sign_of_determinant<NT>(a[0],a[1],b[0],b[1]);
}
template <class NT, class Vector>
NT determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c){
return determinant<NT>(a[0],a[1],a[2],b[0],b[1],b[2],c[0],c[1],c[2]);
}
template <class NT, class Vector>
typename Sgn<NT>::result_type
sign_of_determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c){
return sign_of_determinant<NT>(a[0],a[1],a[2],b[0],b[1],b[2],c[0],c[1],c[2]);
}
template <class NT, class Vector>
NT determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d){
return determinant<NT>(
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a[0],a[1],a[2],a[3],
b[0],b[1],b[2],b[3],
c[0],c[1],c[2],c[3],
d[0],d[1],d[2],d[3]);
}
template <class NT, class Vector>
typename Sgn<NT>::result_type
sign_of_determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d){
return sign_of_determinant<NT>(
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a[0],a[1],a[2],a[3],
b[0],b[1],b[2],b[3],
c[0],c[1],c[2],c[3],
d[0],d[1],d[2],d[3]);
}
template <class NT, class Vector>
NT determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d, Vector const&e){
return determinant<NT>(
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a[0],a[1],a[2],a[3],a[4],
b[0],b[1],b[2],b[3],b[4],
c[0],c[1],c[2],c[3],c[4],
d[0],d[1],d[2],d[3],d[4],
e[0],e[1],e[2],e[3],e[4]);
}
template <class NT, class Vector>
typename Sgn<NT>::result_type
sign_of_determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d, Vector const&e){
return sign_of_determinant<NT>(
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a[0],a[1],a[2],a[3],a[4],
b[0],b[1],b[2],b[3],b[4],
c[0],c[1],c[2],c[3],c[4],
d[0],d[1],d[2],d[3],d[4],
e[0],e[1],e[2],e[3],e[4]);
}
template <class NT, class Vector>
NT determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d, Vector const&e, Vector const&f){
return determinant<NT>(
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a[0],a[1],a[2],a[3],a[4],a[5],
b[0],b[1],b[2],b[3],b[4],b[5],
c[0],c[1],c[2],c[3],c[4],c[5],
d[0],d[1],d[2],d[3],d[4],d[5],
e[0],e[1],e[2],e[3],e[4],e[5],
f[0],f[1],f[2],f[3],f[4],f[5]);
}
template <class NT, class Vector>
typename Sgn<NT>::result_type
sign_of_determinant_of_vectors(Vector const&a, Vector const&b,
Vector const&c, Vector const&d, Vector const&e, Vector const&f){
return sign_of_determinant<NT>(
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a[0],a[1],a[2],a[3],a[4],a[5],
b[0],b[1],b[2],b[3],b[4],b[5],
c[0],c[1],c[2],c[3],c[4],c[5],
d[0],d[1],d[2],d[3],d[4],d[5],
e[0],e[1],e[2],e[3],e[4],e[5],
f[0],f[1],f[2],f[3],f[4],f[5]);
}
}
#endif