286 lines
7.1 KiB
C
286 lines
7.1 KiB
C
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// Copyright (c) 1999
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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); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 3 of the License,
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// or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: LGPL-3.0+
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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_DISTANCE_PREDICATESH2_H
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#define CGAL_DISTANCE_PREDICATESH2_H
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#include <CGAL/determinant.h>
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namespace CGAL {
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template < class R>
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CGAL_KERNEL_MEDIUM_INLINE
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bool
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has_larger_distance_to_point(const PointH2<R>& p,
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const PointH2<R>& q,
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const PointH2<R>& r)
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{
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typedef typename R::RT RT;
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const RT phx = p.hx();
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const RT phy = p.hy();
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const RT phw = p.hw();
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const RT qhx = q.hx();
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const RT qhy = q.hy();
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const RT qhw = q.hw();
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const RT rhx = r.hx();
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const RT rhy = r.hy();
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const RT rhw = r.hw();
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const RT RT0 = RT(0);
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const RT RT2 = RT(2);
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RT dosd = // difference of squared distances
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// phx * phx * qhw * qhw * rhw * rhw
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// -RT(2) * phx * qhx * phw * qhw * rhw * rhw
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// + qhx * qhx * phw * phw * rhw * rhw
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//
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// + phy * phy * qhw * qhw * rhw * rhw
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// -RT(2) * phy * qhy * phw * qhw * rhw * rhw
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// + qhy * qhy * phw * phw * rhw * rhw
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//
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// - ( phx * phx * qhw * qhw * rhw * rhw
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// -RT(2) * phx * rhx * phw * qhw * qhw * rhw
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// + rhx * rhx * phw * phw * qhw * qhw
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//
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// + phy * phy * qhw * qhw * rhw * rhw
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// -RT(2) * phy * rhy * phw * qhw * qhw * rhw
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// + rhy * rhy * phw * phw * qhw * qhw
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rhw*rhw * ( phw * ( qhx*qhx + qhy*qhy )
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- RT2 * qhw * ( phx*qhx + phy*qhy )
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)
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- qhw*qhw * ( phw * ( rhx*rhx + rhy*rhy )
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- RT2 * rhw * ( phx*rhx + phy*rhy )
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);
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return ( dosd > RT0 );
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}
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template < class R>
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CGAL_KERNEL_INLINE
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Comparison_result
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compare_signed_distance_to_line(const LineH2<R>& l,
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const PointH2<R>& p,
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const PointH2<R>& q)
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{
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typedef typename R::RT RT;
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const RT la = l.a();
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const RT lb = l.b();
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_p_minus_scaled_dist_q =
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la*( phx*qhw - qhx*phw )
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+ lb*( phy*qhw - qhy*phw );
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if ( scaled_dist_p_minus_scaled_dist_q < RT0 )
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{
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return SMALLER;
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}
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else
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{
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return ( RT0 < scaled_dist_p_minus_scaled_dist_q ) ?
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LARGER : EQUAL;
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}
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}
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template < class R>
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CGAL_KERNEL_INLINE
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bool
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has_larger_signed_distance_to_line(const LineH2<R>& l,
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const PointH2<R>& p,
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const PointH2<R>& q)
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{
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typedef typename R::RT RT;
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const RT la = l.a();
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const RT lb = l.b();
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_p_minus_scaled_dist_q =
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la*( phx*qhw - qhx*phw )
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+ lb*( phy*qhw - qhy*phw );
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return ( scaled_dist_p_minus_scaled_dist_q > RT0 );
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}
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template < class R>
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CGAL_KERNEL_INLINE
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bool
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has_smaller_signed_distance_to_line(const LineH2<R>& l,
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const PointH2<R>& p,
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const PointH2<R>& q)
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{
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typedef typename R::RT RT;
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const RT la = l.a();
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const RT lb = l.b();
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_p_minus_scaled_dist_q =
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la*( phx*qhw - qhx*phw )
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+ lb*( phy*qhw - qhy*phw );
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return ( scaled_dist_p_minus_scaled_dist_q < RT0 );
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}
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template < class R>
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CGAL_KERNEL_MEDIUM_INLINE
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Comparison_result
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compare_signed_distance_to_line(const PointH2<R>& p,
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const PointH2<R>& q,
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const PointH2<R>& r,
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const PointH2<R>& s)
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{
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typedef typename R::RT RT;
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT rhx= r.hx();
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const RT rhy= r.hy();
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const RT rhw= r.hw();
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const RT shx= s.hx();
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const RT shy= s.hy();
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const RT shw= s.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_r_minus_scaled_dist_s =
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( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
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- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
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if ( scaled_dist_r_minus_scaled_dist_s < RT0 )
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{
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return SMALLER;
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}
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else
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{
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return (scaled_dist_r_minus_scaled_dist_s > RT0 ) ?
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LARGER : EQUAL;
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}
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}
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template < class R>
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CGAL_KERNEL_MEDIUM_INLINE
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bool
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has_smaller_signed_distance_to_line(const PointH2<R>& p,
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const PointH2<R>& q,
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const PointH2<R>& r,
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const PointH2<R>& s)
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{
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typedef typename R::RT RT;
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT rhx= r.hx();
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const RT rhy= r.hy();
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const RT rhw= r.hw();
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const RT shx= s.hx();
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const RT shy= s.hy();
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const RT shw= s.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_r_minus_scaled_dist_s =
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( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
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- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
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return ( scaled_dist_r_minus_scaled_dist_s < RT0 );
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}
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template < class R>
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CGAL_KERNEL_MEDIUM_INLINE
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bool
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has_larger_signed_distance_to_line(const PointH2<R>& p,
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const PointH2<R>& q,
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const PointH2<R>& r,
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const PointH2<R>& s)
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{
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typedef typename R::RT RT;
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const RT phx= p.hx();
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const RT phy= p.hy();
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const RT phw= p.hw();
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const RT qhx= q.hx();
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const RT qhy= q.hy();
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const RT qhw= q.hw();
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const RT rhx= r.hx();
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const RT rhy= r.hy();
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const RT rhw= r.hw();
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const RT shx= s.hx();
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const RT shy= s.hy();
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const RT shw= s.hw();
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const RT RT0 = RT(0);
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RT scaled_dist_r_minus_scaled_dist_s =
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( rhx*shw - shx*rhw ) * (phy*qhw - qhy*phw)
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- ( rhy*shw - shy*rhw ) * (phx*qhw - qhx*phw);
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return ( scaled_dist_r_minus_scaled_dist_s > RT0 );
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}
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} //namespace CGAL
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#endif //CGAL_DISTANCE_PREDICATESH2_H
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