mirror of https://github.com/CGAL/cgal
301 lines
7.5 KiB
C++
301 lines
7.5 KiB
C++
// ======================================================================
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//
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// Copyright (c) 2000 The CGAL Consortium
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//
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// This software and related documentation is part of an INTERNAL release
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// of the Computational Geometry Algorithms Library (CGAL). It is not
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// intended for general use.
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//
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// ----------------------------------------------------------------------
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//
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// release :
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// release_date :
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//
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// file : include/CGAL/Cartesian/Tetrahedron_3.h
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// revision : $Revision$
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// revision_date : $Date$
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// author(s) : Andreas Fabri
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// coordinator : INRIA Sophia-Antipolis (Mariette.Yvinec@sophia.inria.fr)
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//
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// ======================================================================
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#ifndef CGAL_CARTESIAN_TETRAHEDRON_3_H
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#define CGAL_CARTESIAN_TETRAHEDRON_3_H
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#include <CGAL/Fourtuple.h>
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#include <CGAL/Cartesian/solve_3.h>
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#include <CGAL/Cartesian/predicates_on_points_3.h>
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#include <vector>
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#include <functional>
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CGAL_BEGIN_NAMESPACE
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template <class R_>
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class TetrahedronC3
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: public R_::template Handle<Fourtuple<typename R_::Point_3> >::type
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{
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CGAL_VC7_BUG_PROTECTED
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typedef typename R_::FT FT;
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typedef typename R_::Point_3 Point_3;
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typedef typename R_::Plane_3 Plane_3;
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typedef typename R_::Tetrahedron_3 Tetrahedron_3;
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typedef typename R_::Aff_transformation_3 Aff_transformation_3;
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typedef Fourtuple<Point_3> rep;
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typedef typename R_::template Handle<rep>::type base;
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public:
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typedef R_ R;
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TetrahedronC3()
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: base(rep()) {}
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TetrahedronC3(const Point_3 &p, const Point_3 &q, const Point_3 &r,
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const Point_3 &s)
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: base(rep(p, q, r, s)) {}
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const Point_3 & vertex(int i) const;
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const Point_3 & operator[](int i) const;
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bool operator==(const TetrahedronC3 &t) const;
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bool operator!=(const TetrahedronC3 &t) const;
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Bbox_3 bbox() const;
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Tetrahedron_3 transform(const Aff_transformation_3 &t) const
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{
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return TetrahedronC3<R>(t.transform(vertex(0)),
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t.transform(vertex(1)),
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t.transform(vertex(2)),
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t.transform(vertex(3)));
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}
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Orientation orientation() const;
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Oriented_side oriented_side(const Point_3 &p) const;
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Bounded_side bounded_side(const Point_3 &p) const;
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bool has_on_boundary(const Point_3 &p) const;
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bool has_on_positive_side(const Point_3 &p) const;
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bool has_on_negative_side(const Point_3 &p) const;
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bool has_on_bounded_side(const Point_3 &p) const;
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bool has_on_unbounded_side(const Point_3 &p) const;
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bool is_degenerate() const;
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FT volume() const;
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};
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template < class R >
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bool
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TetrahedronC3<R>::
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operator==(const TetrahedronC3<R> &t) const
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{
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if (identical(t))
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return true;
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if (orientation() != t.orientation())
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return false;
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std::vector< Point_3 > V1;
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std::vector< Point_3 > V2;
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typename std::vector< Point_3 >::iterator uniq_end1;
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typename std::vector< Point_3 >::iterator uniq_end2;
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int k;
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for ( k=0; k < 4; k++) V1.push_back( vertex(k));
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for ( k=0; k < 4; k++) V2.push_back( t.vertex(k));
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typename R::Less_xyz_3 Less_object = R().less_xyz_3_object();
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std::sort(V1.begin(), V1.end(), Less_object);
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std::sort(V2.begin(), V2.end(), Less_object);
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uniq_end1 = std::unique( V1.begin(), V1.end());
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uniq_end2 = std::unique( V2.begin(), V2.end());
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V1.erase( uniq_end1, V1.end());
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V2.erase( uniq_end2, V2.end());
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return V1 == V2;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::
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operator!=(const TetrahedronC3<R> &t) const
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{
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return !(*this == t);
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}
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template < class R >
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const typename TetrahedronC3<R>::Point_3 &
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TetrahedronC3<R>::
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vertex(int i) const
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{
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if (i<0) i=(i%4)+4;
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else if (i>3) i=i%4;
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switch (i)
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{
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case 0: return Ptr()->e0;
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case 1: return Ptr()->e1;
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case 2: return Ptr()->e2;
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default: return Ptr()->e3;
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}
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}
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template < class R >
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inline
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const typename TetrahedronC3<R>::Point_3 &
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TetrahedronC3<R>::
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operator[](int i) const
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{
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return vertex(i);
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}
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template < class R >
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CGAL_KERNEL_MEDIUM_INLINE
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typename TetrahedronC3<R>::FT
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TetrahedronC3<R>::volume() const
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{
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typename R::Vector_3 v1 = vertex(1)-vertex(0);
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typename R::Vector_3 v2 = vertex(2)-vertex(0);
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typename R::Vector_3 v3 = vertex(3)-vertex(0);
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return det3x3_by_formula(v1.x(), v1.y(), v1.z(),
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v2.x(), v2.y(), v2.z(),
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v3.x(), v3.y(), v3.z())/FT(6);
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}
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template < class R >
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Orientation
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TetrahedronC3<R>::
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orientation() const
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{
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return CGAL::orientation(vertex(0), vertex(1), vertex(2), vertex(3));
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}
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template < class R >
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Oriented_side
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TetrahedronC3<R>::
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oriented_side(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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Orientation o = orientation();
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if (o != ZERO)
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return Oriented_side(o * bounded_side(p));
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CGAL_assertion (!is_degenerate());
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return ON_ORIENTED_BOUNDARY;
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}
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template < class R >
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Bounded_side
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TetrahedronC3<R>::
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bounded_side(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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FT alpha, beta, gamma;
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solve(vertex(1)-vertex(0), vertex(2)-vertex(0), vertex(3)-vertex(0),
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p - vertex(0), alpha, beta, gamma);
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if ( (alpha < FT(0)) || (beta < FT(0)) || (gamma < FT(0))
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|| (alpha + beta + gamma > FT(1)) )
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return ON_UNBOUNDED_SIDE;
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if ( (alpha == FT(0)) || (beta == FT(0)) || (gamma == FT(0))
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|| (alpha+beta+gamma == FT(1)) )
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return ON_BOUNDARY;
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return ON_BOUNDED_SIDE;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::has_on_boundary
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(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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return oriented_side(p) == ON_ORIENTED_BOUNDARY;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::has_on_positive_side
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(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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return oriented_side(p) == ON_POSITIVE_SIDE;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::has_on_negative_side
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(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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return oriented_side(p) == ON_NEGATIVE_SIDE;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::has_on_bounded_side
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(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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return bounded_side(p) == ON_BOUNDED_SIDE;
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}
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template < class R >
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inline
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bool
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TetrahedronC3<R>::has_on_unbounded_side
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(const typename TetrahedronC3<R>::Point_3 &p) const
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{
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return bounded_side(p) == ON_UNBOUNDED_SIDE;
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}
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template < class R >
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bool
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TetrahedronC3<R>::is_degenerate() const
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{
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Plane_3 plane(vertex(0), vertex(1), vertex(2));
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return (plane.is_degenerate()) ? true
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: plane.has_on(vertex(3));
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}
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template < class R >
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inline
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Bbox_3
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TetrahedronC3<R>::bbox() const
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{
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return vertex(0).bbox() + vertex(1).bbox()
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+ vertex(2).bbox() + vertex(3).bbox();
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}
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#ifndef CGAL_NO_OSTREAM_INSERT_TETRAHEDRONC3
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template < class R >
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std::ostream &
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operator<<(std::ostream &os, const TetrahedronC3<R> &t)
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{
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switch(os.iword(IO::mode)) {
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case IO::ASCII :
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return os << t[0] << ' ' << t[1] << ' ' << t[2] << ' ' << t[3];
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case IO::BINARY :
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return os << t[0] << t[1] << t[2] << t[3];
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default:
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os << "TetrahedronC3(" << t[0] << ", " << t[1] << ", " << t[2];
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os << ", " << t[3] << ")";
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return os;
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}
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}
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#endif // CGAL_NO_OSTREAM_INSERT_TETRAHEDRONC3
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#ifndef CGAL_NO_ISTREAM_EXTRACT_TETRAHEDRONC3
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template < class R >
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std::istream &
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operator>>(std::istream &is, TetrahedronC3<R> &t)
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{
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typename R::Point_3 p, q, r, s;
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is >> p >> q >> r >> s;
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if (is)
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t = TetrahedronC3<R>(p, q, r, s);
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return is;
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}
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#endif // CGAL_NO_ISTREAM_EXTRACT_TETRAHEDRONC3
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CGAL_END_NAMESPACE
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#endif // CGAL_CARTESIAN_TETRAHEDRON_3_H
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