76 lines
2.5 KiB
C
76 lines
2.5 KiB
C
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// Copyright (c) 2000,2001
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org)
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Kernel_d/include/CGAL/constructions_d.h $
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// $Id: constructions_d.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Michael Seel
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#ifndef CGAL_CONSTRUCTIONS_D_H
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#define CGAL_CONSTRUCTIONS_D_H
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#include <CGAL/Kernel_d/Point_d.h>
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namespace CGAL {
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/*{\Moptions outfile=constructions_d.man}*/
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/*{\Mtext \setopdims{4cm}{2cm}\computewidths
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\headerline{Constructions}}*/
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template <class R>
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Point_d<R> lift_to_paraboloid(const Point_d<R>& p)
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/*{\Mfunc returns $p = (x_0,\ldots,x_{d-1})$ lifted to the paraboloid
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of revolution . }*/
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{ typename R::Lift_to_paraboloid_d lift;
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return lift(p); }
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template <class R>
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Point_d<R> project_along_d_axis(const Point_d<R>& p)
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/*{\Mfunc returns |p| projected along the $d$-axis onto the hyperspace
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spanned by the first $d-1$ standard base vectors.}*/
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{ typename R::Project_along_d_axis_d proj;
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return proj(p); }
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template <class R>
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Point_d<R> midpoint(const Point_d<R>& p, const Point_d<R>& q)
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/*{\Mfunc returns the midpoint of |p| and |q|. }*/
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{ typename R::Midpoint_d mp; return mp(p,q); }
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template <class R, class Forward_iterator>
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Point_d<R> center_of_sphere(Forward_iterator start, Forward_iterator end)
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{ typename R::Center_of_sphere_d center;
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return center(start,end); }
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template <class R> typename R::FT
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squared_distance(const Point_d<R>& p, const Point_d<R>& q)
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/*{\Mfunc returns the squared distance between |p| and $q$. }*/
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{ typename R::Squared_distance_d dist; return dist(p,q); }
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template <class ForwardIterator, class OutputIterator>
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OutputIterator linear_base(
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ForwardIterator first, ForwardIterator last, OutputIterator result)
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/*{\Mfunc computes a basis of the linear space spanned by the vectors
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in |set [first,last)| and returns it via an iterator range starting
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in |result|. The returned iterator marks the end of the output.
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\precond value type of |ForwardIterator| and |OutputIterator| is
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|Vector_d<R>|.}*/
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{ typedef typename std::iterator_traits<ForwardIterator>::
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value_type value_type;
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typedef typename value_type::R R;
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typename R::Linear_base_d base;
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return base(first,last,result);
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}
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} //namespace CGAL
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#endif // CGAL_CONSTRUCTIONS_D_H
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