IntAna_QuadQuadGeo Class Reference

Geometric intersections between two natural quadrics (Sphere , Cylinder , Cone , Pln from gp). The possible intersections are : More...

#include <IntAna_QuadQuadGeo.hxx>

Public Member Functions
	IntAna_QuadQuadGeo ()
	Empty constructor.
	IntAna_QuadQuadGeo (const gp_Pln &P1, const gp_Pln &P2, const double TolAng, const double Tol)
	Creates the intersection between two planes. TolAng is the angular tolerance used to determine if the planes are parallel. Tol is the tolerance used to determine if the planes are identical (only when they are parallel).
void	Perform (const gp_Pln &P1, const gp_Pln &P2, const double TolAng, const double Tol)
	Intersects two planes. TolAng is the angular tolerance used to determine if the planes are parallel. Tol is the tolerance used to determine if the planes are identical (only when they are parallel).
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Cylinder &C, const double Tolang, const double Tol, const double H=0)
	Creates the intersection between a plane and a cylinder. TolAng is the angular tolerance used to determine if the axis of the cylinder is parallel to the plane. Tol is the tolerance used to determine if the result is a circle or an ellipse. If the maximum distance between the ellipse solution and the circle centered at the ellipse center is less than Tol, the result will be the circle. H is the height of the cylinder <Cyl>. It is used to check whether the plane and cylinder are parallel.
void	Perform (const gp_Pln &P, const gp_Cylinder &C, const double Tolang, const double Tol, const double H=0)
	Intersects a plane and a cylinder. TolAng is the angular tolerance used to determine if the axis of the cylinder is parallel to the plane. Tol is the tolerance used to determine if the result is a circle or an ellipse. If the maximum distance between the ellipse solution and the circle centered at the ellipse center is less than Tol, the result will be the circle. H is the height of the cylinder <Cyl>. It is used to check whether the plane and cylinder are parallel.
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Sphere &S)
	Creates the intersection between a plane and a sphere.
void	Perform (const gp_Pln &P, const gp_Sphere &S)
	Intersects a plane and a sphere.
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Cone &C, const double Tolang, const double Tol)
	Creates the intersection between a plane and a cone. TolAng is the angular tolerance used to determine if the axis of the cone is parallel or perpendicular to the plane, and if the generating line of the cone is parallel to the plane. Tol is the tolerance used to determine if the apex of the cone is in the plane.
void	Perform (const gp_Pln &P, const gp_Cone &C, const double Tolang, const double Tol)
	Intersects a plane and a cone. TolAng is the angular tolerance used to determine if the axis of the cone is parallel or perpendicular to the plane, and if the generating line of the cone is parallel to the plane. Tol is the tolerance used to determine if the apex of the cone is in the plane.
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl1, const gp_Cylinder &Cyl2, const double Tol)
	Creates the intersection between two cylinders.
void	Perform (const gp_Cylinder &Cyl1, const gp_Cylinder &Cyl2, const double Tol)
	Intersects two cylinders.
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Sphere &Sph, const double Tol)
	Creates the intersection between a Cylinder and a Sphere.
void	Perform (const gp_Cylinder &Cyl, const gp_Sphere &Sph, const double Tol)
	Intersects a cylinder and a sphere.
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Cone &Con, const double Tol)
	Creates the intersection between a Cylinder and a Cone.
void	Perform (const gp_Cylinder &Cyl, const gp_Cone &Con, const double Tol)
	Intersects a cylinder and a cone.
	IntAna_QuadQuadGeo (const gp_Sphere &Sph1, const gp_Sphere &Sph2, const double Tol)
	Creates the intersection between two Spheres.
void	Perform (const gp_Sphere &Sph1, const gp_Sphere &Sph2, const double Tol)
	Intersects a two spheres.
	IntAna_QuadQuadGeo (const gp_Sphere &Sph, const gp_Cone &Con, const double Tol)
	Creates the intersection between a Sphere and a Cone.
void	Perform (const gp_Sphere &Sph, const gp_Cone &Con, const double Tol)
	Intersects a sphere and a cone.
	IntAna_QuadQuadGeo (const gp_Cone &Con1, const gp_Cone &Con2, const double Tol)
	Creates the intersection between two cones.
void	Perform (const gp_Cone &Con1, const gp_Cone &Con2, const double Tol)
	Intersects two cones.
	IntAna_QuadQuadGeo (const gp_Pln &Pln, const gp_Torus &Tor, const double Tol)
	Creates the intersection between plane and torus.
void	Perform (const gp_Pln &Pln, const gp_Torus &Tor, const double Tol)
	Intersects plane and torus.
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Torus &Tor, const double Tol)
	Creates the intersection between cylinder and torus.
void	Perform (const gp_Cylinder &Cyl, const gp_Torus &Tor, const double Tol)
	Intersects cylinder and torus.
	IntAna_QuadQuadGeo (const gp_Cone &Con, const gp_Torus &Tor, const double Tol)
	Creates the intersection between cone and torus.
void	Perform (const gp_Cone &Con, const gp_Torus &Tor, const double Tol)
	Intersects cone and torus.
	IntAna_QuadQuadGeo (const gp_Sphere &Sph, const gp_Torus &Tor, const double Tol)
	Creates the intersection between sphere and torus.
void	Perform (const gp_Sphere &Sph, const gp_Torus &Tor, const double Tol)
	Intersects sphere and torus.
	IntAna_QuadQuadGeo (const gp_Torus &Tor1, const gp_Torus &Tor2, const double Tol)
	Creates the intersection between two toruses.
void	Perform (const gp_Torus &Tor1, const gp_Torus &Tor2, const double Tol)
	Intersects two toruses.
bool	IsDone () const
	Returns true if the computation was successful.
IntAna_ResultType	TypeInter () const
	Returns the type of intersection.
int	NbSolutions () const
	Returns the number of intersections. The possible intersections are :
gp_Pnt	Point (const int Num) const
	Returns the point solution of range Num.
gp_Lin	Line (const int Num) const
	Returns the line solution of range Num.
gp_Circ	Circle (const int Num) const
	Returns the circle solution of range Num.
gp_Elips	Ellipse (const int Num) const
	Returns the ellipse solution of range Num.
gp_Parab	Parabola (const int Num) const
	Returns the parabola solution of range Num.
gp_Hypr	Hyperbola (const int Num) const
	Returns the hyperbola solution of range Num.
bool	HasCommonGen () const
const gp_Pnt &	PChar () const

Protected Member Functions
void	InitTolerances ()
	Initialize the values of inner tolerances.

Protected Attributes
bool	done
int	nbint
IntAna_ResultType	typeres
gp_Pnt	pt1
gp_Pnt	pt2
gp_Pnt	pt3
gp_Pnt	pt4
gp_Dir	dir1
gp_Dir	dir2
gp_Dir	dir3
gp_Dir	dir4
double	param1
double	param2
double	param3
double	param4
double	param1bis
double	param2bis
double	myEPSILON_DISTANCE
double	myEPSILON_ANGLE_CONE
double	myEPSILON_MINI_CIRCLE_RADIUS
double	myEPSILON_CYLINDER_DELTA_RADIUS
double	myEPSILON_CYLINDER_DELTA_DISTANCE
double	myEPSILON_AXES_PARA
bool	myCommonGen
gp_Pnt	myPChar

Detailed Description

Geometric intersections between two natural quadrics (Sphere , Cylinder , Cone , Pln from gp). The possible intersections are :

• 1 point
• 1 or 2 line(s)
• 1 Point and 1 Line
• 1 circle
• 1 ellipse
• 1 parabola
• 1 or 2 hyperbola(s).
• Empty : there is no intersection between the two quadrics.
• Same : the quadrics are identical
• NoGeometricSolution : there may be an intersection, but it is necessary to use an analytic algorithm to determine it. See class IntQuadQuad from IntAna.

Constructor & Destructor Documentation

IntAna_QuadQuadGeo() [1/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo

(

)

Empty constructor.

IntAna_QuadQuadGeo() [2/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Pln &	P1,
		const gp_Pln &	P2,
		const double	TolAng,
		const double	Tol )

Creates the intersection between two planes. TolAng is the angular tolerance used to determine if the planes are parallel. Tol is the tolerance used to determine if the planes are identical (only when they are parallel).

IntAna_QuadQuadGeo() [3/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Pln &	P,
		const gp_Cylinder &	C,
		const double	Tolang,
		const double	Tol,
		const double	H = 0 )

Creates the intersection between a plane and a cylinder. TolAng is the angular tolerance used to determine if the axis of the cylinder is parallel to the plane. Tol is the tolerance used to determine if the result is a circle or an ellipse. If the maximum distance between the ellipse solution and the circle centered at the ellipse center is less than Tol, the result will be the circle. H is the height of the cylinder <Cyl>. It is used to check whether the plane and cylinder are parallel.

IntAna_QuadQuadGeo() [4/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Pln &	P,
		const gp_Sphere &	S )

Creates the intersection between a plane and a sphere.

IntAna_QuadQuadGeo() [5/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Pln &	P,
		const gp_Cone &	C,
		const double	Tolang,
		const double	Tol )

Creates the intersection between a plane and a cone. TolAng is the angular tolerance used to determine if the axis of the cone is parallel or perpendicular to the plane, and if the generating line of the cone is parallel to the plane. Tol is the tolerance used to determine if the apex of the cone is in the plane.

IntAna_QuadQuadGeo() [6/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cylinder &	Cyl1,
		const gp_Cylinder &	Cyl2,
		const double	Tol )

Creates the intersection between two cylinders.

IntAna_QuadQuadGeo() [7/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cylinder &	Cyl,
		const gp_Sphere &	Sph,
		const double	Tol )

Creates the intersection between a Cylinder and a Sphere.

IntAna_QuadQuadGeo() [8/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cylinder &	Cyl,
		const gp_Cone &	Con,
		const double	Tol )

Creates the intersection between a Cylinder and a Cone.

IntAna_QuadQuadGeo() [9/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Sphere &	Sph1,
		const gp_Sphere &	Sph2,
		const double	Tol )

Creates the intersection between two Spheres.

IntAna_QuadQuadGeo() [10/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Sphere &	Sph,
		const gp_Cone &	Con,
		const double	Tol )

Creates the intersection between a Sphere and a Cone.

IntAna_QuadQuadGeo() [11/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cone &	Con1,
		const gp_Cone &	Con2,
		const double	Tol )

Creates the intersection between two cones.

IntAna_QuadQuadGeo() [12/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Pln &	Pln,
		const gp_Torus &	Tor,
		const double	Tol )

Creates the intersection between plane and torus.

IntAna_QuadQuadGeo() [13/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cylinder &	Cyl,
		const gp_Torus &	Tor,
		const double	Tol )

Creates the intersection between cylinder and torus.

IntAna_QuadQuadGeo() [14/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Cone &	Con,
		const gp_Torus &	Tor,
		const double	Tol )

Creates the intersection between cone and torus.

IntAna_QuadQuadGeo() [15/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Sphere &	Sph,
		const gp_Torus &	Tor,
		const double	Tol )

Creates the intersection between sphere and torus.

IntAna_QuadQuadGeo() [16/16]

IntAna_QuadQuadGeo::IntAna_QuadQuadGeo	(	const gp_Torus &	Tor1,
		const gp_Torus &	Tor2,
		const double	Tol )

Creates the intersection between two toruses.

Member Function Documentation

Circle()

gp_Circ IntAna_QuadQuadGeo::Circle

(

const int

Num

)

const

Returns the circle solution of range Num.

Ellipse()

gp_Elips IntAna_QuadQuadGeo::Ellipse

(

const int

Num

)

const

Returns the ellipse solution of range Num.

HasCommonGen()

bool IntAna_QuadQuadGeo::HasCommonGen

(

)

const

Hyperbola()

gp_Hypr IntAna_QuadQuadGeo::Hyperbola

(

const int

Num

)

const

Returns the hyperbola solution of range Num.

InitTolerances()

void IntAna_QuadQuadGeo::InitTolerances ( )

protected

Initialize the values of inner tolerances.

IsDone()

bool IntAna_QuadQuadGeo::IsDone

(

)

const

Returns true if the computation was successful.

Line()

gp_Lin IntAna_QuadQuadGeo::Line

(

const int

Num

)

const

Returns the line solution of range Num.

NbSolutions()

int IntAna_QuadQuadGeo::NbSolutions

(

)

const

Returns the number of intersections. The possible intersections are :

• 1 point
• 1 or 2 line(s)
• 1 Point and 1 Line
• 1 circle
• 1 ellipse
• 1 parabola
• 1 or 2 hyperbola(s).

Parabola()

gp_Parab IntAna_QuadQuadGeo::Parabola

(

const int

Num

)

const

Returns the parabola solution of range Num.

PChar()

const gp_Pnt & IntAna_QuadQuadGeo::PChar

(

)

const

Perform() [1/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cone &	Con,
		const gp_Torus &	Tor,
		const double	Tol )

Intersects cone and torus.

Perform() [2/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cone &	Con1,
		const gp_Cone &	Con2,
		const double	Tol )

Intersects two cones.

Perform() [3/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cylinder &	Cyl,
		const gp_Cone &	Con,
		const double	Tol )

Intersects a cylinder and a cone.

Perform() [4/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cylinder &	Cyl,
		const gp_Sphere &	Sph,
		const double	Tol )

Intersects a cylinder and a sphere.

Perform() [5/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cylinder &	Cyl,
		const gp_Torus &	Tor,
		const double	Tol )

Intersects cylinder and torus.

Perform() [6/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Cylinder &	Cyl1,
		const gp_Cylinder &	Cyl2,
		const double	Tol )

Intersects two cylinders.

Perform() [7/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P,
		const gp_Cone &	C,
		const double	Tolang,
		const double	Tol )

Intersects a plane and a cone. TolAng is the angular tolerance used to determine if the axis of the cone is parallel or perpendicular to the plane, and if the generating line of the cone is parallel to the plane. Tol is the tolerance used to determine if the apex of the cone is in the plane.

Perform() [8/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P,
		const gp_Cylinder &	C,
		const double	Tolang,
		const double	Tol,
		const double	H = 0 )

Intersects a plane and a cylinder. TolAng is the angular tolerance used to determine if the axis of the cylinder is parallel to the plane. Tol is the tolerance used to determine if the result is a circle or an ellipse. If the maximum distance between the ellipse solution and the circle centered at the ellipse center is less than Tol, the result will be the circle. H is the height of the cylinder <Cyl>. It is used to check whether the plane and cylinder are parallel.

Perform() [9/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P,
		const gp_Sphere &	S )

Intersects a plane and a sphere.

Perform() [10/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P1,
		const gp_Pln &	P2,
		const double	TolAng,
		const double	Tol )

Intersects two planes. TolAng is the angular tolerance used to determine if the planes are parallel. Tol is the tolerance used to determine if the planes are identical (only when they are parallel).

Perform() [11/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	Pln,
		const gp_Torus &	Tor,
		const double	Tol )

Intersects plane and torus.

Perform() [12/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Sphere &	Sph,
		const gp_Cone &	Con,
		const double	Tol )

Intersects a sphere and a cone.

Perform() [13/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Sphere &	Sph,
		const gp_Torus &	Tor,
		const double	Tol )

Intersects sphere and torus.

Perform() [14/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Sphere &	Sph1,
		const gp_Sphere &	Sph2,
		const double	Tol )

Intersects a two spheres.

Perform() [15/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Torus &	Tor1,
		const gp_Torus &	Tor2,
		const double	Tol )

Intersects two toruses.

Point()

gp_Pnt IntAna_QuadQuadGeo::Point

(

const int

Num

)

const

Returns the point solution of range Num.

TypeInter()

IntAna_ResultType IntAna_QuadQuadGeo::TypeInter

(

)

const

Returns the type of intersection.

Field Documentation

dir1

gp_Dir IntAna_QuadQuadGeo::dir1

protected

dir2

gp_Dir IntAna_QuadQuadGeo::dir2

protected

dir3

gp_Dir IntAna_QuadQuadGeo::dir3

protected

dir4

gp_Dir IntAna_QuadQuadGeo::dir4

protected

done

bool IntAna_QuadQuadGeo::done

protected

myCommonGen

bool IntAna_QuadQuadGeo::myCommonGen

protected

myEPSILON_ANGLE_CONE

double IntAna_QuadQuadGeo::myEPSILON_ANGLE_CONE

protected

myEPSILON_AXES_PARA

double IntAna_QuadQuadGeo::myEPSILON_AXES_PARA

protected

myEPSILON_CYLINDER_DELTA_DISTANCE

double IntAna_QuadQuadGeo::myEPSILON_CYLINDER_DELTA_DISTANCE

protected

myEPSILON_CYLINDER_DELTA_RADIUS

double IntAna_QuadQuadGeo::myEPSILON_CYLINDER_DELTA_RADIUS

protected

myEPSILON_DISTANCE

double IntAna_QuadQuadGeo::myEPSILON_DISTANCE

protected

myEPSILON_MINI_CIRCLE_RADIUS

double IntAna_QuadQuadGeo::myEPSILON_MINI_CIRCLE_RADIUS

protected

myPChar

gp_Pnt IntAna_QuadQuadGeo::myPChar

protected

nbint

int IntAna_QuadQuadGeo::nbint

protected

param1

double IntAna_QuadQuadGeo::param1

protected

param1bis

double IntAna_QuadQuadGeo::param1bis

protected

param2

double IntAna_QuadQuadGeo::param2

protected

param2bis

double IntAna_QuadQuadGeo::param2bis

protected

param3

double IntAna_QuadQuadGeo::param3

protected

param4

double IntAna_QuadQuadGeo::param4

protected

pt1

gp_Pnt IntAna_QuadQuadGeo::pt1

protected

pt2

gp_Pnt IntAna_QuadQuadGeo::pt2

protected

pt3

gp_Pnt IntAna_QuadQuadGeo::pt3

protected

pt4

gp_Pnt IntAna_QuadQuadGeo::pt4

protected

typeres

IntAna_ResultType IntAna_QuadQuadGeo::typeres

protected

---

The documentation for this class was generated from the following file:

• IntAna_QuadQuadGeo.hxx