Bnd_Box Class Reference

Describes a bounding box in 3D space.
A bounding box is parallel to the axes of the coordinates
system. If it is finite, it is defined by the three intervals:
More...

#include <Bnd_Box.hxx>

Public Member Functions
	Bnd_Box ()
	Creates an empty Box. <br> The constructed box is qualified Void. Its gap is null. More...
void	SetWhole ()
	Sets this bounding box so that it covers the whole of 3D space. It is infinitely long in all directions. More...
void	SetVoid ()
	Sets this bounding box so that it is empty. All points are outside a void box. More...
void	Set (const gp_Pnt &P)
	Sets this bounding box so that it bounds More...
void	Set (const gp_Pnt &P, const gp_Dir &D)
	Sets this bounding box so that it bounds the half-line defined by point P and direction D, i.e. all points M defined by M=P+u*D, where u is greater than or equal to 0, are inside the bounding volume. This involves first setting this box to be void and then adding the half-line. More...
void	Update (const Standard_Real aXmin, const Standard_Real aYmin, const Standard_Real aZmin, const Standard_Real aXmax, const Standard_Real aYmax, const Standard_Real aZmax)
	Enlarges this bounding box, if required, so that it contains at least: More...
void	Update (const Standard_Real X, const Standard_Real Y, const Standard_Real Z)
	Adds a point of coordinates (X,Y,Z) to this bounding box. More...
Standard_Real	GetGap () const
	Returns the gap of this bounding box. More...
void	SetGap (const Standard_Real Tol)
	Set the gap of this bounding box to abs(Tol). More...
void	Enlarge (const Standard_Real Tol)
	Enlarges the box with a tolerance value. <br> (minvalues-Abs(<tol>) and maxvalues+Abs(<tol>)) <br> This means that the minimum values of its X, Y and Z intervals of definition, when they are finite, are reduced by the absolute value of Tol, while the maximum values are increased by the same amount. More...
void	Get (Standard_Real &aXmin, Standard_Real &aYmin, Standard_Real &aZmin, Standard_Real &aXmax, Standard_Real &aYmax, Standard_Real &aZmax) const
	Returns the bounds of this bounding box. The gap is included. <br> If this bounding box is infinite (i.e. "open"), returned values may be equal to +/- Precision::Infinite(). if IsVoid() More...
void	OpenXmin ()
	The Box will be infinitely long in the Xmin direction. More...
void	OpenXmax ()
	The Box will be infinitely long in the Xmax direction. More...
void	OpenYmin ()
	The Box will be infinitely long in the Ymin direction. More...
void	OpenYmax ()
	The Box will be infinitely long in the Ymax direction. More...
void	OpenZmin ()
	The Box will be infinitely long in the Zmin direction. More...
void	OpenZmax ()
	The Box will be infinitely long in the Zmax direction. More...
Standard_Boolean	IsOpenXmin () const
	Returns true if this bounding box is open in the Xmin direction. More...
Standard_Boolean	IsOpenXmax () const
	Returns true if this bounding box is open in the Xmax direction. More...
Standard_Boolean	IsOpenYmin () const
	Returns true if this bounding box is open in the Ymix direction. More...
Standard_Boolean	IsOpenYmax () const
	Returns true if this bounding box is open in the Ymax direction. More...
Standard_Boolean	IsOpenZmin () const
	Returns true if this bounding box is open in the Zmin direction. More...
Standard_Boolean	IsOpenZmax () const
	Returns true if this bounding box is open in the Zmax direction. More...
Standard_Boolean	IsWhole () const
	Returns true if this bounding box is infinite in all 6 directions (WholeSpace flag). More...
Standard_Boolean	IsVoid () const
	Returns true if this bounding box is empty (Void flag). More...
Standard_Boolean	IsXThin (const Standard_Real tol) const
	true if xmax-xmin < tol. More...
Standard_Boolean	IsYThin (const Standard_Real tol) const
	true if ymax-ymin < tol. More...
Standard_Boolean	IsZThin (const Standard_Real tol) const
	true if zmax-zmin < tol. More...
Standard_Boolean	IsThin (const Standard_Real tol) const
	Returns true if IsXThin, IsYThin and IsZThin are all true, <br> i.e. if the box is thin in all three dimensions. More...
Bnd_Box	Transformed (const gp_Trsf &T) const
	Returns a bounding box which is the result of applying the <br> transformation T to this bounding box. Warning Applying a geometric transformation (for example, a rotation) to a bounding box generally increases its dimensions. This is not optimal for algorithms which use it. More...
void	Add (const Bnd_Box &Other)
	Adds the box <Other> to <me>. More...
void	Add (const gp_Pnt &P)
	Adds a Pnt to the box. More...
void	Add (const gp_Pnt &P, const gp_Dir &D)
	Extends <me> from the Pnt. More...
void	Add (const gp_Dir &D)
	Extends the Box in the given Direction, i.e. adds an half-line. The box may become infinite in 1,2 or 3 directions. More...
Standard_Boolean	IsOut (const gp_Pnt &P) const
	Returns True if the Pnt is out the box. More...
Standard_Boolean	IsOut (const gp_Lin &L) const
	Returns False if the line intersects the box. More...
Standard_Boolean	IsOut (const gp_Pln &P) const
	Returns False if the plane intersects the box. More...
Standard_Boolean	IsOut (const Bnd_Box &Other) const
	Returns False if the <Box> intersects or is inside <me>. More...
Standard_Boolean	IsOut (const Bnd_Box &Other, const gp_Trsf &T) const
	Returns False if the transformed <Box> intersects or is inside <me>. More...
Standard_Boolean	IsOut (const gp_Trsf &T1, const Bnd_Box &Other, const gp_Trsf &T2) const
	Returns False if the transformed <Box> intersects or is inside the transformed box <me>. More...
Standard_Boolean	IsOut (const gp_Pnt &P1, const gp_Pnt &P2, const gp_Dir &D) const
	Returns False if the flat band lying between two parallel lines represented by their reference points <P1>, <P2> and direction <D> intersects the box. More...
Standard_Real	Distance (const Bnd_Box &Other) const
	Computes the minimum distance between two boxes. More...
void	Dump () const
Standard_Real	SquareExtent () const
	Computes the squared diagonal of me. More...

Detailed Description

Describes a bounding box in 3D space.
A bounding box is parallel to the axes of the coordinates
system. If it is finite, it is defined by the three intervals:

• [ Xmin,Xmax ],
  
• [ Ymin,Ymax ],
  
• [ Zmin,Zmax ].
  A bounding box may be infinite (i.e. open) in one or more
  directions. It is said to be:
  
• OpenXmin if it is infinite on the negative side of the "X Direction";
  
• OpenXmax if it is infinite on the positive side of the "X Direction";
  
• OpenYmin if it is infinite on the negative side of the "Y Direction";
  
• OpenYmax if it is infinite on the positive side of the "Y Direction";
  
• OpenZmin if it is infinite on the negative side of the "Z Direction";
  
• OpenZmax if it is infinite on the positive side of the "Z Direction";
  
• WholeSpace if it is infinite in all six directions. In this
  case, any point of the space is inside the box;
  
• Void if it is empty. In this case, there is no point included in the box.
  A bounding box is defined by:
  
• six bounds (Xmin, Xmax, Ymin, Ymax, Zmin and
  Zmax) which limit the bounding box if it is finite,
  
• eight flags (OpenXmin, OpenXmax, OpenYmin,
  OpenYmax, OpenZmin, OpenZmax,
  WholeSpace and Void) which describe the
  bounding box if it is infinite or empty, and
  
• a gap, which is included on both sides in any direction
  when consulting the finite bounds of the box.
  

Constructor & Destructor Documentation

Bnd_Box::Bnd_Box

(

)

 Creates an empty Box. <br>

The constructed box is qualified Void. Its gap is null.

Member Function Documentation

void Bnd_Box::Add

(

const Bnd_Box &

Other

)

Adds the box <Other> to <me>.

void Bnd_Box::Add

(

const gp_Pnt &

P

)

Adds a Pnt to the box.

void Bnd_Box::Add	(	const gp_Pnt &	P,
		const gp_Dir &	D
	)

Extends <me> from the Pnt.

in the direction <D>.

void Bnd_Box::Add

(

const gp_Dir &

D

)

Extends the Box in the given Direction, i.e. adds
an half-line. The box may become infinite in
1,2 or 3 directions.

Standard_Real Bnd_Box::Distance

(

const Bnd_Box &

Other

)

const

Computes the minimum distance between two boxes.

void Bnd_Box::Dump

(

)

const

void Bnd_Box::Enlarge

(

const Standard_Real

Tol

)

 Enlarges the      box    with    a   tolerance   value. <br>
     (minvalues-Abs(<tol>) and maxvalues+Abs(<tol>)) <br>

This means that the minimum values of its X, Y and Z
intervals of definition, when they are finite, are reduced by
the absolute value of Tol, while the maximum values are
increased by the same amount.

void Bnd_Box::Get	(	Standard_Real &	aXmin,
		Standard_Real &	aYmin,
		Standard_Real &	aZmin,
		Standard_Real &	aXmax,
		Standard_Real &	aYmax,
		Standard_Real &	aZmax
	)		const

 Returns the bounds of this bounding box. The gap is included. <br>

If this bounding box is infinite (i.e. "open"), returned values
may be equal to +/- Precision::Infinite().
if IsVoid()

Standard_Real Bnd_Box::GetGap

(

)

const

Returns the gap of this bounding box.

Standard_Boolean Bnd_Box::IsOpenXmax

(

)

const

Returns true if this bounding box is open in the Xmax direction.

Standard_Boolean Bnd_Box::IsOpenXmin

(

)

const

Returns true if this bounding box is open in the Xmin direction.

Standard_Boolean Bnd_Box::IsOpenYmax

(

)

const

Returns true if this bounding box is open in the Ymax direction.

Standard_Boolean Bnd_Box::IsOpenYmin

(

)

const

Returns true if this bounding box is open in the Ymix direction.

Standard_Boolean Bnd_Box::IsOpenZmax

(

)

const

Returns true if this bounding box is open in the Zmax direction.

Standard_Boolean Bnd_Box::IsOpenZmin

(

)

const

Returns true if this bounding box is open in the Zmin direction.

Standard_Boolean Bnd_Box::IsOut

(

const gp_Pnt &

P

)

const

Returns True if the Pnt is out the box.

Standard_Boolean Bnd_Box::IsOut

(

const gp_Lin &

L

)

const

Returns False if the line intersects the box.

Standard_Boolean Bnd_Box::IsOut

(

const gp_Pln &

P

)

const

Returns False if the plane intersects the box.

Standard_Boolean Bnd_Box::IsOut

(

const Bnd_Box &

Other

)

const

Returns False if the <Box> intersects or is inside <me>.

Standard_Boolean Bnd_Box::IsOut	(	const Bnd_Box &	Other,
		const gp_Trsf &	T
	)		const

Returns False if the transformed <Box> intersects
or is inside <me>.

Standard_Boolean Bnd_Box::IsOut	(	const gp_Trsf &	T1,
		const Bnd_Box &	Other,
		const gp_Trsf &	T2
	)		const

Returns False if the transformed <Box> intersects
or is inside the transformed box <me>.

Standard_Boolean Bnd_Box::IsOut	(	const gp_Pnt &	P1,
		const gp_Pnt &	P2,
		const gp_Dir &	D
	)		const

Returns False if the flat band lying between two parallel
lines represented by their reference points <P1>, <P2> and
direction <D> intersects the box.

Standard_Boolean Bnd_Box::IsThin

(

const Standard_Real

tol

)

const

 Returns true if IsXThin, IsYThin and IsZThin are all true, <br>

i.e. if the box is thin in all three dimensions.

Standard_Boolean Bnd_Box::IsVoid

(

)

const

Returns true if this bounding box is empty (Void flag).

Standard_Boolean Bnd_Box::IsWhole

(

)

const

Returns true if this bounding box is infinite in all 6 directions (WholeSpace flag).

Standard_Boolean Bnd_Box::IsXThin

(

const Standard_Real

tol

)

const

true if xmax-xmin < tol.

Standard_Boolean Bnd_Box::IsYThin

(

const Standard_Real

tol

)

const

true if ymax-ymin < tol.

Standard_Boolean Bnd_Box::IsZThin

(

const Standard_Real

tol

)

const

true if zmax-zmin < tol.

void Bnd_Box::OpenXmax

(

)

The Box will be infinitely long in the Xmax
direction.

void Bnd_Box::OpenXmin

(

)

The Box will be infinitely long in the Xmin
direction.

void Bnd_Box::OpenYmax

(

)

The Box will be infinitely long in the Ymax
direction.

void Bnd_Box::OpenYmin

(

)

The Box will be infinitely long in the Ymin
direction.

void Bnd_Box::OpenZmax

(

)

The Box will be infinitely long in the Zmax
direction.

void Bnd_Box::OpenZmin

(

)

The Box will be infinitely long in the Zmin
direction.

void Bnd_Box::Set

(

const gp_Pnt &

P

)

Sets this bounding box so that it bounds

• the point P. This involves first setting this bounding box
  to be void and then adding the point P.
  

void Bnd_Box::Set	(	const gp_Pnt &	P,
		const gp_Dir &	D
	)

Sets this bounding box so that it bounds
the half-line defined by point P and direction D, i.e. all
points M defined by M=P+u*D, where u is greater than
or equal to 0, are inside the bounding volume. This
involves first setting this box to be void and then adding the half-line.

void Bnd_Box::SetGap

(

const Standard_Real

Tol

)

Set the gap of this bounding box to abs(Tol).

void Bnd_Box::SetVoid

(

)

Sets this bounding box so that it is empty. All points are outside a void box.

void Bnd_Box::SetWhole

(

)

Sets this bounding box so that it covers the whole of 3D space.
It is infinitely long in all directions.

Standard_Real Bnd_Box::SquareExtent

(

)

const

Computes the squared diagonal of me.

Bnd_Box Bnd_Box::Transformed

(

const gp_Trsf &

T

)

const

 Returns a bounding box which is the result of applying the <br>

transformation T to this bounding box.
Warning
Applying a geometric transformation (for example, a
rotation) to a bounding box generally increases its
dimensions. This is not optimal for algorithms which use it.

void Bnd_Box::Update	(	const Standard_Real	aXmin,
		const Standard_Real	aYmin,
		const Standard_Real	aZmin,
		const Standard_Real	aXmax,
		const Standard_Real	aYmax,
		const Standard_Real	aZmax
	)

Enlarges this bounding box, if required, so that it
contains at least:

• interval [ aXmin,aXmax ] in the "X Direction",
  
• interval [ aYmin,aYmax ] in the "Y Direction",
  
• interval [ aZmin,aZmax ] in the "Z Direction";
  

void Bnd_Box::Update	(	const Standard_Real	X,
		const Standard_Real	Y,
		const Standard_Real	Z
	)

Adds a point of coordinates (X,Y,Z) to this bounding box.

---

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

• Bnd_Box.hxx