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. More...
	IntAna_QuadQuadGeo (const gp_Pln &P1, const gp_Pln &P2, const Standard_Real TolAng, const Standard_Real 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). More...
void	Perform (const gp_Pln &P1, const gp_Pln &P2, const Standard_Real TolAng, const Standard_Real 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). More...
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Cylinder &C, const Standard_Real Tolang, const Standard_Real Tol, const Standard_Real 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. More...
void	Perform (const gp_Pln &P, const gp_Cylinder &C, const Standard_Real Tolang, const Standard_Real Tol, const Standard_Real 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. More...
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Sphere &S)
	Creates the intersection between a plane and a sphere. More...
void	Perform (const gp_Pln &P, const gp_Sphere &S)
	Intersects a plane and a sphere. More...
	IntAna_QuadQuadGeo (const gp_Pln &P, const gp_Cone &C, const Standard_Real Tolang, const Standard_Real 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. More...
void	Perform (const gp_Pln &P, const gp_Cone &C, const Standard_Real Tolang, const Standard_Real 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. More...
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl1, const gp_Cylinder &Cyl2, const Standard_Real Tol)
	Creates the intersection between two cylinders. More...
void	Perform (const gp_Cylinder &Cyl1, const gp_Cylinder &Cyl2, const Standard_Real Tol)
	Intersects two cylinders. More...
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Sphere &Sph, const Standard_Real Tol)
	Creates the intersection between a Cylinder and a Sphere. More...
void	Perform (const gp_Cylinder &Cyl, const gp_Sphere &Sph, const Standard_Real Tol)
	Intersects a cylinder and a sphere. More...
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Cone &Con, const Standard_Real Tol)
	Creates the intersection between a Cylinder and a Cone. More...
void	Perform (const gp_Cylinder &Cyl, const gp_Cone &Con, const Standard_Real Tol)
	Intersects a cylinder and a cone. More...
	IntAna_QuadQuadGeo (const gp_Sphere &Sph1, const gp_Sphere &Sph2, const Standard_Real Tol)
	Creates the intersection between two Spheres. More...
void	Perform (const gp_Sphere &Sph1, const gp_Sphere &Sph2, const Standard_Real Tol)
	Intersects a two spheres. More...
	IntAna_QuadQuadGeo (const gp_Sphere &Sph, const gp_Cone &Con, const Standard_Real Tol)
	Creates the intersection beween a Sphere and a Cone. More...
void	Perform (const gp_Sphere &Sph, const gp_Cone &Con, const Standard_Real Tol)
	Intersects a sphere and a cone. More...
	IntAna_QuadQuadGeo (const gp_Cone &Con1, const gp_Cone &Con2, const Standard_Real Tol)
	Creates the intersection beween two cones. More...
void	Perform (const gp_Cone &Con1, const gp_Cone &Con2, const Standard_Real Tol)
	Intersects two cones. More...
	IntAna_QuadQuadGeo (const gp_Pln &Pln, const gp_Torus &Tor, const Standard_Real Tol)
	Creates the intersection beween plane and torus. More...
void	Perform (const gp_Pln &Pln, const gp_Torus &Tor, const Standard_Real Tol)
	Intersects plane and torus. More...
	IntAna_QuadQuadGeo (const gp_Cylinder &Cyl, const gp_Torus &Tor, const Standard_Real Tol)
	Creates the intersection beween cylinder and torus. More...
void	Perform (const gp_Cylinder &Cyl, const gp_Torus &Tor, const Standard_Real Tol)
	Intersects cylinder and torus. More...
	IntAna_QuadQuadGeo (const gp_Cone &Con, const gp_Torus &Tor, const Standard_Real Tol)
	Creates the intersection beween cone and torus. More...
void	Perform (const gp_Cone &Con, const gp_Torus &Tor, const Standard_Real Tol)
	Intersects cone and torus. More...
	IntAna_QuadQuadGeo (const gp_Sphere &Sph, const gp_Torus &Tor, const Standard_Real Tol)
	Creates the intersection beween sphere and torus. More...
void	Perform (const gp_Sphere &Sph, const gp_Torus &Tor, const Standard_Real Tol)
	Intersects sphere and torus. More...
	IntAna_QuadQuadGeo (const gp_Torus &Tor1, const gp_Torus &Tor2, const Standard_Real Tol)
	Creates the intersection beween two toruses. More...
void	Perform (const gp_Torus &Tor1, const gp_Torus &Tor2, const Standard_Real Tol)
	Intersects two toruses. More...
Standard_Boolean	IsDone () const
	Returns Standard_True if the computation was successful. More...
IntAna_ResultType	TypeInter () const
	Returns the type of intersection. More...
Standard_Integer	NbSolutions () const
	Returns the number of interesections. The possible intersections are : More...
gp_Pnt	Point (const Standard_Integer Num) const
	Returns the point solution of range Num. More...
gp_Lin	Line (const Standard_Integer Num) const
	Returns the line solution of range Num. More...
gp_Circ	Circle (const Standard_Integer Num) const
	Returns the circle solution of range Num. More...
gp_Elips	Ellipse (const Standard_Integer Num) const
	Returns the ellipse solution of range Num. More...
gp_Parab	Parabola (const Standard_Integer Num) const
	Returns the parabola solution of range Num. More...
gp_Hypr	Hyperbola (const Standard_Integer Num) const
	Returns the hyperbola solution of range Num. More...
Standard_Boolean	HasCommonGen () const
const gp_Pnt &	PChar () const

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

Protected Attributes
Standard_Boolean	done
Standard_Integer	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
Standard_Real	param1
Standard_Real	param2
Standard_Real	param3
Standard_Real	param4
Standard_Real	param1bis
Standard_Real	param2bis
Standard_Real	myEPSILON_DISTANCE
Standard_Real	myEPSILON_ANGLE_CONE
Standard_Real	myEPSILON_MINI_CIRCLE_RADIUS
Standard_Real	myEPSILON_CYLINDER_DELTA_RADIUS
Standard_Real	myEPSILON_CYLINDER_DELTA_DISTANCE
Standard_Real	myEPSILON_AXES_PARA
Standard_Boolean	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 Standard_Real	TolAng,
		const Standard_Real	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 Standard_Real	Tolang,
		const Standard_Real	Tol,
		const Standard_Real	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 Standard_Real	Tolang,
		const Standard_Real	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 Standard_Real	Tol
	)

Creates the intersection between two cylinders.

IntAna_QuadQuadGeo() [7/16]

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

Creates the intersection between two Spheres.

IntAna_QuadQuadGeo() [10/16]

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

Creates the intersection beween a Sphere and a Cone.

IntAna_QuadQuadGeo() [11/16]

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

Creates the intersection beween two cones.

IntAna_QuadQuadGeo() [12/16]

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

Creates the intersection beween plane and torus.

IntAna_QuadQuadGeo() [13/16]

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

Creates the intersection beween cylinder and torus.

IntAna_QuadQuadGeo() [14/16]

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

Creates the intersection beween cone and torus.

IntAna_QuadQuadGeo() [15/16]

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

Creates the intersection beween sphere and torus.

IntAna_QuadQuadGeo() [16/16]

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

Creates the intersection beween two toruses.

Member Function Documentation

Circle()

gp_Circ IntAna_QuadQuadGeo::Circle

(

const Standard_Integer

Num

)

const

Returns the circle solution of range Num.

Ellipse()

gp_Elips IntAna_QuadQuadGeo::Ellipse

(

const Standard_Integer

Num

)

const

Returns the ellipse solution of range Num.

HasCommonGen()

Standard_Boolean IntAna_QuadQuadGeo::HasCommonGen

(

)

const

Hyperbola()

gp_Hypr IntAna_QuadQuadGeo::Hyperbola

(

const Standard_Integer

Num

)

const

Returns the hyperbola solution of range Num.

InitTolerances()

void IntAna_QuadQuadGeo::InitTolerances ( )

protected

Initialize the values of inner tolerances.

IsDone()

Standard_Boolean IntAna_QuadQuadGeo::IsDone

(

)

const

Returns Standard_True if the computation was successful.

Line()

gp_Lin IntAna_QuadQuadGeo::Line

(

const Standard_Integer

Num

)

const

Returns the line solution of range Num.

NbSolutions()

Standard_Integer IntAna_QuadQuadGeo::NbSolutions

(

)

const

Returns the number of interesections. 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 Standard_Integer

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_Pln &	P1,
		const gp_Pln &	P2,
		const Standard_Real	TolAng,
		const Standard_Real	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() [2/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P,
		const gp_Cylinder &	C,
		const Standard_Real	Tolang,
		const Standard_Real	Tol,
		const Standard_Real	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() [3/15]

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

Intersects a plane and a sphere.

Perform() [4/15]

void IntAna_QuadQuadGeo::Perform	(	const gp_Pln &	P,
		const gp_Cone &	C,
		const Standard_Real	Tolang,
		const Standard_Real	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() [5/15]

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

Intersects two cylinders.

Perform() [6/15]

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

Intersects a cylinder and a sphere.

Perform() [7/15]

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

Intersects a cylinder and a cone.

Perform() [8/15]

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

Intersects a two spheres.

Perform() [9/15]

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

Intersects a sphere and a cone.

Perform() [10/15]

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

Intersects two cones.

Perform() [11/15]

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

Intersects plane and torus.

Perform() [12/15]

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

Intersects cylinder and torus.

Perform() [13/15]

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

Intersects cone and torus.

Perform() [14/15]

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

Intersects sphere and torus.

Perform() [15/15]

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

Intersects two toruses.

Point()

gp_Pnt IntAna_QuadQuadGeo::Point

(

const Standard_Integer

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

Standard_Boolean IntAna_QuadQuadGeo::done

protected

myCommonGen

Standard_Boolean IntAna_QuadQuadGeo::myCommonGen

protected

myEPSILON_ANGLE_CONE

Standard_Real IntAna_QuadQuadGeo::myEPSILON_ANGLE_CONE

protected

myEPSILON_AXES_PARA

Standard_Real IntAna_QuadQuadGeo::myEPSILON_AXES_PARA

protected

myEPSILON_CYLINDER_DELTA_DISTANCE

Standard_Real IntAna_QuadQuadGeo::myEPSILON_CYLINDER_DELTA_DISTANCE

protected

myEPSILON_CYLINDER_DELTA_RADIUS

Standard_Real IntAna_QuadQuadGeo::myEPSILON_CYLINDER_DELTA_RADIUS

protected

myEPSILON_DISTANCE

Standard_Real IntAna_QuadQuadGeo::myEPSILON_DISTANCE

protected

myEPSILON_MINI_CIRCLE_RADIUS

Standard_Real IntAna_QuadQuadGeo::myEPSILON_MINI_CIRCLE_RADIUS

protected

myPChar

gp_Pnt IntAna_QuadQuadGeo::myPChar

protected

nbint

Standard_Integer IntAna_QuadQuadGeo::nbint

protected

param1

Standard_Real IntAna_QuadQuadGeo::param1

protected

param1bis

Standard_Real IntAna_QuadQuadGeo::param1bis

protected

param2

Standard_Real IntAna_QuadQuadGeo::param2

protected

param2bis

Standard_Real IntAna_QuadQuadGeo::param2bis

protected

param3

Standard_Real IntAna_QuadQuadGeo::param3

protected

param4

Standard_Real 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