mirror of https://github.com/CGAL/cgal
362 lines
9.0 KiB
C
362 lines
9.0 KiB
C
// ======================================================================
|
|
//
|
|
// Copyright (c) 2000 The CGAL Consortium
|
|
//
|
|
// This software and related documentation is part of an INTERNAL release
|
|
// of the Computational Geometry Algorithms Library (CGAL). It is not
|
|
// intended for general use.
|
|
//
|
|
// ----------------------------------------------------------------------
|
|
//
|
|
// release :
|
|
// release_date :
|
|
//
|
|
// file : include/CGAL/Cartesian/Circle_2.C
|
|
// revision : $Revision$
|
|
// revision_date : $Date$
|
|
// author(s) : Andreas Fabri, Herve Bronnimann
|
|
// coordinator : INRIA Sophia-Antipolis (Mariette.Yvinec@sophia.inria.fr)
|
|
//
|
|
// ======================================================================
|
|
|
|
#ifndef CGAL_CARTESIAN_CIRCLE_2_C
|
|
#define CGAL_CARTESIAN_CIRCLE_2_C
|
|
|
|
#include <CGAL/Cartesian/constructions_on_points_2.h>
|
|
#include <CGAL/Cartesian/constructions_on_circles_2.h>
|
|
#include <CGAL/Cartesian/distance_computations_2.h>
|
|
#include <CGAL/Cartesian/predicates_on_points_2.h>
|
|
|
|
#ifndef CGAL_CARTESIAN_REDEFINE_NAMES_2_H
|
|
#define CGAL_CTAG
|
|
#endif
|
|
|
|
#ifdef CGAL_CFG_TYPENAME_BUG
|
|
#define typename
|
|
#endif
|
|
|
|
CGAL_BEGIN_NAMESPACE
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_INLINE
|
|
CircleC2<R CGAL_CTAG>::CircleC2()
|
|
{
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>();
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_INLINE
|
|
CircleC2<R CGAL_CTAG>::CircleC2(const CircleC2<R CGAL_CTAG> &c)
|
|
: Handle_for< Circle_repC2<R> > (c)
|
|
{}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_INLINE
|
|
CircleC2<R CGAL_CTAG>::
|
|
CircleC2(const typename CircleC2<R CGAL_CTAG>::Point_2 ¢er,
|
|
const typename CircleC2<R CGAL_CTAG>::FT &squared_radius,
|
|
const Orientation &orient)
|
|
{
|
|
CGAL_kernel_precondition( ( squared_radius >= FT(0) ) &&
|
|
( orient != COLLINEAR) );
|
|
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>(center,
|
|
squared_radius,
|
|
orient);
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_INLINE
|
|
CircleC2<R CGAL_CTAG>::
|
|
CircleC2(const typename CircleC2<R CGAL_CTAG>::Point_2 ¢er,
|
|
const Orientation &orient)
|
|
{
|
|
CGAL_kernel_precondition( orient != COLLINEAR );
|
|
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>(center, FT(0), orient);
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_MEDIUM_INLINE
|
|
CircleC2<R CGAL_CTAG>::
|
|
CircleC2(const typename CircleC2<R CGAL_CTAG>::Point_2 &p,
|
|
const typename CircleC2<R CGAL_CTAG>::Point_2 &q,
|
|
const Orientation &orient)
|
|
{
|
|
CGAL_kernel_precondition( orient != COLLINEAR);
|
|
|
|
if ( p != q) {
|
|
Point_2 center = midpoint(p,q);
|
|
FT squared_radius = squared_distance(p,center);
|
|
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>(center,
|
|
squared_radius,
|
|
orient);
|
|
} else
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>(p, FT(0), orient);
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_CTOR_MEDIUM_INLINE
|
|
CircleC2<R CGAL_CTAG>::
|
|
CircleC2(const typename CircleC2<R CGAL_CTAG>::Point_2 &p,
|
|
const typename CircleC2<R CGAL_CTAG>::Point_2 &q,
|
|
const typename CircleC2<R CGAL_CTAG>::Point_2 &r)
|
|
{
|
|
Orientation orient = CGAL::orientation(p,q,r);
|
|
CGAL_kernel_precondition( orient != COLLINEAR);
|
|
|
|
Point_2 center = circumcenter(p,q,r);
|
|
FT squared_radius = squared_distance(p,center);
|
|
|
|
new ( static_cast< void*>(ptr)) Circle_repC2<R>(center,
|
|
squared_radius,
|
|
orient);
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
CircleC2<R CGAL_CTAG>::~CircleC2()
|
|
{}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::operator==(const CircleC2<R CGAL_CTAG> &c) const
|
|
{
|
|
return center() == c.center() &&
|
|
squared_radius() == c.squared_radius() &&
|
|
orientation() == c.orientation();
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::operator!=(const CircleC2<R CGAL_CTAG> &c) const
|
|
{
|
|
return !(*this == c);
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
CircleC2<R CGAL_CTAG>::Point_2
|
|
CircleC2<R CGAL_CTAG>::center() const
|
|
{
|
|
return ptr->center;
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
CircleC2<R CGAL_CTAG>::FT
|
|
CircleC2<R CGAL_CTAG>::squared_radius() const
|
|
{
|
|
return ptr->squared_radius;
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
Orientation
|
|
CircleC2<R CGAL_CTAG>::orientation() const
|
|
{
|
|
return ptr->orient;
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_MEDIUM_INLINE
|
|
Oriented_side
|
|
CircleC2<R CGAL_CTAG>::
|
|
oriented_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
return Oriented_side(bounded_side(p) * orientation());
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
Bounded_side
|
|
CircleC2<R CGAL_CTAG>::
|
|
bounded_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
return Bounded_side(CGAL_NTS compare(squared_radius(),
|
|
squared_distance(center(),p)));
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::
|
|
has_on_boundary(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
return squared_distance(center(),p) == squared_radius();
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::
|
|
has_on_negative_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
if (orientation() == COUNTERCLOCKWISE)
|
|
return has_on_unbounded_side(p);
|
|
return has_on_bounded_side(p);
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::
|
|
has_on_positive_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
if (orientation() == COUNTERCLOCKWISE)
|
|
return has_on_bounded_side(p);
|
|
return has_on_unbounded_side(p);
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::
|
|
has_on_bounded_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
return squared_distance(center(),p) < squared_radius();
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::
|
|
has_on_unbounded_side(const typename CircleC2<R CGAL_CTAG>::Point_2 &p) const
|
|
{
|
|
return squared_distance(center(),p) > squared_radius();
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
bool
|
|
CircleC2<R CGAL_CTAG>::is_degenerate() const
|
|
{
|
|
return CGAL_NTS is_zero(squared_radius());
|
|
}
|
|
|
|
template < class R >
|
|
inline
|
|
CircleC2<R CGAL_CTAG>
|
|
CircleC2<R CGAL_CTAG>::opposite() const
|
|
{
|
|
return CircleC2<R CGAL_CTAG>(center(),
|
|
squared_radius(),
|
|
CGAL::opposite(orientation()) );
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
Bbox_2
|
|
CircleC2<R CGAL_CTAG>::bbox() const
|
|
{
|
|
// Robustness problems.
|
|
double cx = CGAL::to_double(center().x());
|
|
double cy = CGAL::to_double(center().y());
|
|
double radius = CGAL::sqrt(CGAL::to_double(squared_radius()));
|
|
|
|
return Bbox_2(cx - radius, cy - radius, cx + radius, cy + radius);
|
|
}
|
|
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
CircleC2<R CGAL_CTAG>
|
|
CircleC2<R CGAL_CTAG>::orthogonal_transform
|
|
(const typename CircleC2<R CGAL_CTAG>::Aff_transformation_2 &t) const
|
|
{
|
|
Vector_2 vec(FT(1), FT(0) ); // unit vector
|
|
vec = vec.transform(t); // transformed
|
|
FT sq_scale = vec.squared_length(); // squared scaling factor
|
|
|
|
return CircleC2<R CGAL_CTAG>(t.transform(center()),
|
|
sq_scale * squared_radius(),
|
|
t.is_even() ? orientation()
|
|
: CGAL::opposite(orientation()));
|
|
}
|
|
|
|
/*
|
|
template < class R >
|
|
inline
|
|
EllipseC2<CircleC2<R CGAL_CTAG>::FT>
|
|
CircleC2<R CGAL_CTAG>::
|
|
transform(const Aff_transformationC2<CircleC2<R CGAL_CTAG>::FT> &t) const
|
|
{
|
|
return CircleC2<R CGAL_CTAG>(t.transform(center()),
|
|
squared_radius(),
|
|
orientation());
|
|
}
|
|
*/
|
|
|
|
#ifndef CGAL_NO_OSTREAM_INSERT_CIRCLEC2
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
std::ostream &
|
|
operator<<(std::ostream &os, const CircleC2<R CGAL_CTAG> &c)
|
|
{
|
|
switch(os.iword(IO::mode)) {
|
|
case IO::ASCII :
|
|
os << c.center() << ' ' << c.squared_radius() << ' '
|
|
<< (int)c.orientation();
|
|
break;
|
|
case IO::BINARY :
|
|
os << c.center();
|
|
write(os, c.squared_radius());
|
|
write(os, (int)c.orientation());
|
|
break;
|
|
default:
|
|
os << "CircleC2(" << c.center() << ", " << c.squared_radius() ;
|
|
switch (c.orientation()) {
|
|
case CLOCKWISE:
|
|
os << ", clockwise)";
|
|
break;
|
|
case COUNTERCLOCKWISE:
|
|
os << ", counterclockwise)";
|
|
break;
|
|
default:
|
|
os << ", collinear)";
|
|
break;
|
|
}
|
|
break;
|
|
}
|
|
return os;
|
|
}
|
|
#endif // CGAL_NO_OSTREAM_INSERT_CIRCLEC2
|
|
|
|
#ifndef CGAL_NO_ISTREAM_EXTRACT_CIRCLEC2
|
|
template < class R >
|
|
CGAL_KERNEL_INLINE
|
|
std::istream&
|
|
operator>>(std::istream &is, CircleC2<R CGAL_CTAG> &c)
|
|
{
|
|
typename CircleC2<R CGAL_CTAG>::Point_2 center;
|
|
typename CircleC2<R CGAL_CTAG>::FT squared_radius;
|
|
int o;
|
|
switch(is.iword(IO::mode)) {
|
|
case IO::ASCII :
|
|
is >> center >> squared_radius >> o;
|
|
break;
|
|
case IO::BINARY :
|
|
is >> center;
|
|
read(is, squared_radius);
|
|
is >> o;
|
|
break;
|
|
default:
|
|
std::cerr << "" << std::endl;
|
|
std::cerr << "Stream must be in ascii or binary mode" << std::endl;
|
|
break;
|
|
}
|
|
c = CircleC2<R CGAL_CTAG>(center, squared_radius, (Orientation)o);
|
|
return is;
|
|
}
|
|
#endif // CGAL_NO_ISTREAM_EXTRACT_CIRCLEC2
|
|
|
|
CGAL_END_NAMESPACE
|
|
|
|
#ifdef CGAL_CFG_TYPENAME_BUG
|
|
#undef typename
|
|
#endif
|
|
|
|
#endif // CGAL_CARTESIAN_CIRCLE_2_C
|