Real algebraic numbers

Here, we have implemented structures which are useful for the algorithms, in order to return a result. In this case, we can reuse the result with another algorithm. For instance, in this namespace, we have the structure points and the structure graph of points which are useful in the topology algorithms.


Classes
struct	box3d
	Structure to keep track of the coordinates of the box. More...
struct	point
	The topology point structure. More...
class	point3d
struct	segment
	Structure that defines a segment. More...
struct	vertex
	The vertex structure for meshing implicit surface. More...
struct	point_set
	Structure that defines a point_set. More...
struct	triangle_set
struct	point_complex
	The point complex structure. More...
class	triangle
struct	ltpts
	The order structure for the map. More...
struct	point_graph
	The point graph structure. More...
Functions
template<class C, class R>
int	ptcmp (const topology::point< C, R > &p1, const topology::point< C, R > &p2)
template<class C, class R>
std::ostream &	operator<< (std::ostream &os, const topology::point< C, R > &P)
template<class C, class R>
std::istream &	operator>> (std::istream &is, topology::point< C, R > &P)
template<class C>
bool	operator== (const topology::point3d< C > &p1, const topology::point3d< C > &p2)
template<class C>
std::ostream &	operator<< (std::ostream &os, const topology::point3d< C > &p)
template<class C, class POINTGRAPH, class MPOL, class MTH>
void	assign (POINTGRAPH &g, const MPOL &p0, MTH mth, const C &x0, const C &x1, const C &y0, const C &y1, const C &z0, const C &z1)
template<class C, class U, class CELL, class SLV>
void	assign (point_graph< C > &g, const MPol< U > &p1, const MPol< U > &p2, TopSbdCurve3d< C, CELL, SLV > slv, double x0, double x1, double y0, double y1, double z0, double z1)
template<class Point>
std::ostream &	operator<< (std::ostream &os, const topology::segment< Point > &s)
template<class Point>
std::istream &	operator>> (std::istream &is, topology::segment< Point > &s)
template<class Point>
std::ostream &	print (std::ostream &os, const topology::segment< Point > &t)
template<class Point>
bool	operator== (const vertex< Point > &v1, const vertex< Point > &v2)
template<class Point>
std::ostream &	operator<< (std::ostream &os, const vertex< Point > &v)
template<class C, class R>
std::ostream &	print (std::ostream &os, const topology::point_set< C, R > &s)
template<class Point>
std::ostream &	operator<< (std::ostream &os, const topology::point_set< Point > &s)
template<class Point>
std::istream &	operator>> (std::istream &is, topology::point_set< Point > &s)
template<class Point>
std::ostream &	operator<< (std::ostream &os, const topology::triangle_set< Point > &t)
template<class Point>
std::ostream &	print (std::ostream &os, const topology::triangle_set< Point > &t)
template<class C, class U>
void	assign (point_graph< C > &g, const MPol< U > &eq, TopSweep2d< C > mth)
template<class C, class U>
void	assign (point_graph< C > &g, const MPol< U > &P1, const MPol< U > &P2, TopSweep2d< C > mth)
template<class C, class R, class E, class F>
void	print (geomview::ostream &out, const point_complex< C, R, E, F > &G, float r=0.0, float g=0.0, float b=0.9, float a=1., float sz=0.01)
template<class C, class R, class E, class F>
geomview::ostream &	operator<< (geomview::ostream &os, const point_complex< C, R, E, F > &G)
template<class C, class U>
void	assign (point_graph< C > &r, const MPol< U > &s, TopSbdBdg2d< C > mth, C x0, C x1, C y0, C y1, unsigned Z=1)
template<class C, class R>
std::ostream &	operator<< (std::ostream &os, const point_graph< C, R > &g)
template<class C, class R, class S>
void	print (char *file, const point_graph< C, R, S > &G, float r=0.0, float g=0.0, float b=0.9, float a=1., float sz=0.01)
template<class C, class R, class S>
geomview::ostream &	operator<< (geomview::ostream &os, const point_graph< C, R, S > &G)
template<class C, class R, class S>
axel::ostream &	operator<< (axel::ostream &os, const point_graph< C, R, S > &G)

Function Documentation

template<class Point>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const topology::triangle_set< Point > &	t
	)

Output stream.

Definition at line 70 of file triangle_set.h.

References print().

template<class Point>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const topology::point_set< Point > &	s
	)

Output stream.

Definition at line 86 of file point_set.h.

References print().

template<class Point>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const vertex< Point > &	v
	)

The operator << .
This operator allows us to display a vertex.

Definition at line 66 of file vertex.h.

template<class Point>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const topology::segment< Point > &	s
	)

Output stream.

Definition at line 54 of file segment.h.

template<class C>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const topology::point3d< C > &	p
	)

Output stream.

Definition at line 89 of file point3d.h.

template<class C, class R>

std::ostream& topology::operator<<	(	std::ostream &	os,
		const topology::point< C, R > &	P
	)

The operator << .
This operator allows us to display a point.

Definition at line 356 of file point.h.

template<class Point>

bool topology::operator==	(	const vertex< Point > &	v1,
		const vertex< Point > &	v2
	)

Comparison operator.

Definition at line 57 of file vertex.h.

References topology::vertex< Point >::point.

template<class C>

bool topology::operator==	(	const topology::point3d< C > &	p1,
		const topology::point3d< C > &	p2
	)

Equality operator.

Definition at line 81 of file point3d.h.

References topology::point3d< Typ >::x, topology::point3d< Typ >::y, and topology::point3d< Typ >::z.

template<class Point>

std::istream& topology::operator>>	(	std::istream &	is,
		topology::point_set< Point > &	s
	)

The operator >> .
This operator allows us to read a point_set.

Definition at line 98 of file point_set.h.

template<class Point>

std::istream& topology::operator>>	(	std::istream &	is,
		topology::segment< Point > &	s
	)

The operator >> .
This operator allows us to read a segment.

Definition at line 66 of file segment.h.

References topology::segment< Point >::a, and topology::segment< Point >::b.

template<class C, class R>

std::istream& topology::operator>>	(	std::istream &	is,
		topology::point< C, R > &	P
	)

The operator >> .
This operator allows us to read a point.

Definition at line 375 of file point.h.

References topology::point< C, R >::data.

template<class C, class R>

std::ostream& topology::print	(	std::ostream &	os,
		const topology::point_set< C, R > &	s
	)

Another output stream for the geomview format.

Definition at line 74 of file point_set.h.

References topology::point_set< C, Point >::begin(), and topology::point_set< C, Point >::end().

Referenced by operator<<(), MPOLDST::print(), and MONOMIAL::print().

template<class Point>

std::ostream& topology::print	(	std::ostream &	os,
		const topology::segment< Point > &	t
	)

Another output stream for the geomview format.

Definition at line 77 of file segment.h.

References topology::segment< Point >::a, and topology::segment< Point >::b.

Referenced by assign(), and operator<<().

template<class C, class R>

int topology::ptcmp	(	const topology::point< C, R > &	p1,
		const topology::point< C, R > &	p2
	)

Parameters:

	p1	a point.
	p2	a point.

Compare the position of two points.

Returns:

-1 if p1 is under p2
0 if p1 == p2
1 otherwise

Definition at line 294 of file point.h.

References topology::point< C, R >::data, and topology::point< C, R >::size().

Referenced by topology::point_graph< C, R, E >::access(), topology::point_graph< C, R, E >::insert(), and topology::ltpts< Pt >::operator()().

topology Namespace Reference

Detailed Description

Classes

Functions

Function Documentation