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/* Copyright (c) 1997-2024
Ewgenij Gawrilow, Michael Joswig, and the polymake team
Technische Universität Berlin, Germany
https://polymake.org
This program is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 2, or (at your option) any
later version: http://www.gnu.org/licenses/gpl.txt.
This program 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 General Public License for more details.
--------------------------------------------------------------------------------
*/
#pragma once
#include "polymake/Rational.h"
#include "polymake/Matrix.h"
#include "polymake/Vector.h"
#include "polymake/AccurateFloat.h"
namespace polymake { namespace polytope {
/** Compute approximately the bisector hyperplane
*
* @param F1, F2 side hyperplanes of the angle
* @param V point on the ridge
*/
template <typename Scalar, typename Vector1, typename Vector2, typename Vector3>
Vector<Scalar>
bisector(const GenericVector<Vector1,Scalar>& F1, const GenericVector<Vector2,Scalar>& F2,
const GenericVector<Vector3,Scalar>& V)
{
Vector<AccurateFloat> f1(F1), f2(F2);
f1[0]=0; f2[0]=0;
Vector<Scalar> F_bisector(f1/(2*sqrt(sqr(f1))) + f2/(2*sqrt(sqr(f2))));
F_bisector[0]=-F_bisector*V;
return F_bisector;
}
} }
// Local Variables:
// mode:C++
// c-basic-offset:3
// indent-tabs-mode:nil
// End:
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