399 lines
10 KiB
C
399 lines
10 KiB
C
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// Copyright (c) 1997-2002 Max-Planck-Institute Saarbruecken (Germany).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, 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: GPL-3.0+
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//
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//
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// Author(s) : Peter Hachenberger <hachenberger@mpi-sb.mpg.de>
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#ifndef CGAL_NORMALIZING_H
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#define CGAL_NORMALIZING_H
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#include <CGAL/license/Nef_S2.h>
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#include <CGAL/Nef_S2/Sphere_point.h>
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#include <CGAL/Nef_S2/Sphere_circle.h>
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#include <CGAL/Nef_S2/Sphere_direction.h>
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#include <CGAL/Fraction_traits.h>
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#undef CGAL_NEF_DEBUG
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#define CGAL_NEF_DEBUG 307
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#include <CGAL/Nef_2/debug.h>
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#ifdef CCGAL_USE_LEDA
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#include <CGAL/Cartesian.h>
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#include <CGAL/leda_rational.h>
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#endif
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namespace CGAL {
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class Homogeneous_tag;
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class Cartesian_tag;
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template<typename Tag> class Normalizing;
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template<>
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class Normalizing<Homogeneous_tag> {
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public:
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template <typename iterator> static
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void normalized(iterator begin, iterator end) {
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typedef typename std::iterator_traits<iterator>::value_type RT;
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iterator i = begin;
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while(i!=end && *i == RT(0)) ++i;
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if(i==end)
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return;
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RT g = *i;
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for(iterator j=i+1; j!=end; ++j)
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g = (*j == 0 ? g : CGAL_NTS gcd(g,*j));
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g=CGAL_NTS abs(g);
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for(; i!=end; ++i)
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*i = CGAL::integral_division(*i,g);
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}
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template <typename R> static
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CGAL::Point_3<R> normalized(const CGAL::Point_3<R>& p) {
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typedef typename R::RT RT;
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RT g = p.hw();
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g = (p.hx() == 0 ? g : CGAL_NTS gcd(g,p.hx()));
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g = (p.hy() == 0 ? g : CGAL_NTS gcd(g,p.hy()));
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g = (p.hz() == 0 ? g : CGAL_NTS gcd(g,p.hz()));
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RT x = p.hx()/g;
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RT y = p.hy()/g;
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RT z = p.hz()/g;
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RT w = p.hw()/g;
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return typename R::Point_3(x,y,z,w);
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}
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template <typename R> static
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CGAL::Sphere_point<R> normalized(const CGAL::Sphere_point<R>& p) {
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typedef typename R::RT RT;
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RT g = (p.x()==0) ? ((p.y()==0) ? ((p.z()==0) ? 1: p.z()): p.y()): p.x();
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if(p.y() != 0) g = CGAL_NTS gcd(g,p.y());
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if(p.z() != 0) g = CGAL_NTS gcd(g,p.z());
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if(g<0) g = -g;
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RT x = p.x()/g;
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RT y = p.y()/g;
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RT z = p.z()/g;
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return CGAL::Sphere_point<R>(x,y,z);
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}
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template <typename R> static
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CGAL::Vector_3<R> normalized(const CGAL::Vector_3<R>& p) {
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typedef typename R::RT RT;
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RT g = (p.hx()==0) ? ((p.hy()==0) ? ((p.hz()==0) ? 1: p.hz()): p.hy()): p.hx();
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if(p.hy() != 0) g = CGAL_NTS gcd(g,p.hy());
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if(p.hz() != 0) g = CGAL_NTS gcd(g,p.hz());
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if(g<0) g = -g;
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RT x = p.hx()/g;
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RT y = p.hy()/g;
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RT z = p.hz()/g;
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return typename R::Vector_3(x,y,z);
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}
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template <typename R> static
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CGAL::Sphere_direction<R> normalized(const CGAL::Sphere_direction<R>& c) {
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typename R::Plane_3 h = c.plane();
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef typename R::RT RT;
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RT x = (h.a()==0) ? ((h.b()==0) ? ((h.c()==0) ? ((h.d()==0) ? 1
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: h.d())
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: h.c())
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: h.b())
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: h.a();
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if(h.b() != 0)
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x = gcd(x,h.b());
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if(h.c() != 0)
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x = gcd(x,h.c());
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if(h.d() !=0)
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x = gcd(x,h.d());
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x = CGAL_NTS abs(x);
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RT pa = h.a()/x;
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RT pb = h.b()/x;
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RT pc = h.c()/x;
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RT pd = h.d()/x;
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return CGAL::Sphere_direction<R>(typename R::Plane_3(pa,pb,pc,pd));
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}
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template <typename R> static
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CGAL::Plane_3<R> normalized(const CGAL::Plane_3<R>& h) {
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef typename R::RT RT;
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RT x = (h.a()==0) ? ((h.b()==0) ? ((h.c()==0) ? ((h.d()==0) ? 1
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: h.d())
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: h.c())
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: h.b())
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: h.a();
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CGAL_NEF_TRACE("gcd... i"<<' ');
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if(h.b() != 0)
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x = CGAL_NTS gcd(x,h.b());
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CGAL_NEF_TRACE(x<<' ');
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if(h.c() != 0)
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x = CGAL_NTS gcd(x,h.c());
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CGAL_NEF_TRACE(x<<' ');
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if(h.d() !=0)
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x = CGAL_NTS gcd(x,h.d());
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CGAL_NEF_TRACEN(x);
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x = CGAL_NTS abs(x);
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RT pa = h.a()/x;
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RT pb = h.b()/x;
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RT pc = h.c()/x;
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RT pd = h.d()/x;
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CGAL_NEF_TRACEN(" after normalizing " << typename R::Plane_3(pa,pb,pc,pd));
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return typename R::Plane_3(pa,pb,pc,pd);
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}
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template <typename R> static
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CGAL::Sphere_circle<R> normalized(const CGAL::Sphere_circle<R>& c) {
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typename R::Plane_3 h = c.plane();
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef typename R::RT RT;
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RT x = (h.a()==0) ? ((h.b()==0) ? ((h.c()==0) ? ((h.d()==0) ? 1
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: h.d())
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: h.c())
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: h.b())
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: h.a();
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if(h.b() != 0)
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x = CGAL_NTS gcd(x,h.b());
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if(h.c() != 0)
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x = CGAL_NTS gcd(x,h.c());
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if(h.d() !=0)
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x = CGAL_NTS gcd(x,h.d());
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x = CGAL_NTS abs(x);
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RT pa = h.a()/x;
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RT pb = h.b()/x;
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RT pc = h.c()/x;
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RT pd = h.d()/x;
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return CGAL::Sphere_circle<R>(typename R::Plane_3(pa,pb,pc,pd));
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}
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};
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template<>
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class Normalizing<Cartesian_tag> {
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public:
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template <typename R> static
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CGAL::Point_3<R> normalized(const CGAL::Point_3<R>& p) {
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return p;
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}
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template <typename R> static
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CGAL::Vector_3<R> normalized(const CGAL::Vector_3<R>& p) {
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return p;
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}
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template <typename R> static
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CGAL::Sphere_point<R> normalized(const CGAL::Sphere_point<R>& p) {
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typedef typename R::RT RT;
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RT g = (p.hx() != 0 ? p.hx() : (p.hy() != 0 ? p.hy() : p.hz()));
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g = CGAL_NTS abs(g);
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RT x = p.hx()/g;
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RT y = p.hy()/g;
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RT z = p.hz()/g;
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return CGAL::Sphere_point<R>(x,y,z);
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}
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template <typename R> static
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CGAL::Sphere_direction<R> normalized(const CGAL::Sphere_direction<R>& c) {
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return c;
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}
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#ifdef CCGAL_USE_LEDA
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// specialization: Plane_3 < Cartesian < leda_rational > >
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static Plane_3<CGAL::Cartesian<leda_rational> >
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normalized(Plane_3<CGAL::Cartesian<leda_rational> >& h) {
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef leda_rational FT;
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FT x = (h.a()==0) ? ((h.b()==0) ? ((h.c()==0) ? ((h.d()==0) ? 1
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: h.d())
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: h.c())
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: h.b())
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: h.a();
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x = CGAL_NTS abs(x);
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FT pa = h.a()/x;
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FT pb = h.b()/x;
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FT pc = h.c()/x;
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FT pd = h.d()/x;
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pa.normalize();
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pb.normalize();
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pc.normalize();
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pd.normalize();
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CGAL_NEF_TRACEN(" after normalizing " << CGAL::Plane_3<CGAL::Cartesian<leda_rational> >(pa,pb,pc,pd));
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return CGAL::Plane_3<CGAL::Cartesian<leda_rational> >(pa,pb,pc,pd);
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}
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#endif
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template <typename R> static
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CGAL::Plane_3<R> normalized(const CGAL::Plane_3<R>& h,Tag_true) {
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef typename R::FT FT;
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typedef Fraction_traits<FT> FracTraits;
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typedef std::vector<typename FracTraits::Numerator_type> NV;
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typename FracTraits::Numerator_type num;
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typename FracTraits::Denominator_type denom;
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typename FracTraits::Decompose decomposer;
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typename FracTraits::Compose composer;
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NV vec;
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decomposer(h.a(),num,denom);
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vec.push_back(num);
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vec.push_back(denom);
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vec.push_back(denom);
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vec.push_back(denom);
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decomposer(h.b(),num,denom);
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vec[0]*=denom;
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vec[1]*=num;
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vec[2]*=denom;
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vec[3]*=denom;
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decomposer(h.c(),num,denom);
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vec[0]*=denom;
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vec[1]*=denom;
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vec[2]*=num;
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vec[3]*=denom;
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decomposer(h.d(),num,denom);
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vec[0]*=denom;
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vec[1]*=denom;
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vec[2]*=denom;
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vec[3]*=num;
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Normalizing<Homogeneous_tag>::
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normalized(vec.begin(),vec.end());
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return typename R::Plane_3(composer(vec[0],1),
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composer(vec[1],1),
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composer(vec[2],1),
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composer(vec[3],1));
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}
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template <typename R> static
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CGAL::Plane_3<R> normalized(const CGAL::Plane_3<R>& h,Tag_false) {
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CGAL_assertion(!(h.a()==0 && h.b()==0 && h.c()==0 && h.d()==0));
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typedef typename R::FT FT;
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if (h.a()!=0)
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return typename R::Plane_3(FT(1),h.b()/h.a(),h.c()/h.a(),h.d()/h.a());
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if (h.b()!=0)
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return typename R::Plane_3(h.a()/h.b(),FT(1),h.c()/h.b(),h.d()/h.b());
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if (h.c()!=0)
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return typename R::Plane_3(h.a()/h.c(),h.b()/h.c(),FT(1),h.d()/h.c());
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return typename R::Plane_3(h.a()/h.d(),h.b()/h.d(),h.c()/h.d(),FT(1));
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}
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template <typename R> static
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CGAL::Plane_3<R> normalized(const CGAL::Plane_3<R>& h) {
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return normalized( h,typename Fraction_traits<typename R::FT>::Is_fraction() );
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}
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template <typename R> static
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||
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CGAL::Sphere_circle<R> normalized(CGAL::Sphere_circle<R>& c) {
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return c;
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||
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}
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||
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};
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|
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||
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/*
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||
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|
template <typename R, typename iterator>
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||
|
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void normalized(iterator begin, iterator end) {
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||
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Normalizing<typename R::Kernel_tag>::normalized(begin, end);
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||
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|
}
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||
|
|
*/
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||
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|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Point_3<R> normalized(const CGAL::Point_3<R>& p) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(p);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Sphere_point<R> normalized(const CGAL::Sphere_point<R>& p) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(p);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Vector_3<R> normalized(const CGAL::Vector_3<R>& p) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(p);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Sphere_direction<R> normalized(const CGAL::Sphere_direction<R>& c) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(c);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Plane_3<R> normalized(const CGAL::Plane_3<R>& h) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(h);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename R>
|
||
|
|
CGAL::Sphere_circle<R> normalized(const CGAL::Sphere_circle<R>& c) {
|
||
|
|
return Normalizing<typename R::Kernel_tag>::normalized(c);
|
||
|
|
}
|
||
|
|
|
||
|
|
} //namespace CGAL
|
||
|
|
#endif // CGAL_NORMALIZING_H
|