Box3 Class Reference

#include <box3.h>

Class Description

See also

Class Point3, Class Matrix3.

Description:

This class represents a 3D box volume described by two 3D corner coordinates. Box3 provides methods that return individual coordinates of the box, scale and translate it, retrieve its center, modify its size, expand it to include points or other boxes, and determine if points are inside the box. All methods are implemented by the system.

Data Members:

Point3 pmin,pmax;

The corners of the 3D box.

Inheritance diagram for Box3:

Public Member Functions
	Box3 ()
	Box3 (const Point3 &p, const Point3 &q)
void	Init ()
void	MakeCube (const Point3 &p, float side)
Point3	Min () const
Point3	Max () const
Point3	Center () const
Point3	Width () const
Point3	operator[] (int i) const
Box3 &	operator+= (const Point3 &p)
Box3 &	operator+= (const Box3 &b)
void	Scale (float s)
void	Translate (const Point3 &p)
void	EnlargeBy (float s)
void	IncludePoints (Point3 *pts, int numpoints, Matrix3 *tm=NULL)
Box3	operator* (const Matrix3 &tm) const
int	IsEmpty () const
int	Contains (const Point3 &p) const
int	Contains (const Box3 &b) const
int	Intersects (const Box3 &b) const

Public Attributes
Point3	pmin
Point3	pmax

Additional Inherited Members
Static Public Member Functions inherited from MaxHeapOperators
static UtilExport void *	operator new (size_t size)
	Standard new operator used to allocate objects If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new (size_t size, const std::nothrow_t &e)
	Standard new operator used to allocate objects if there is insufficient memory, NULL will be returned. More...
static UtilExport void *	operator new (size_t size, const char *filename, int line)
	New operator used to allocate objects that takes the filename and line number where the new was called If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new (size_t size, int block_type, const char *filename, int line)
	New operator used to allocate objects that takes the type of memory, filename and line number where the new was called If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new (size_t size, const std::nothrow_t &e, const char *filename, int line)
	New operator used to allocate objects that takes the filename and line number where the new was called If there is insufficient memory, NULL will be returned. More...
static UtilExport void *	operator new (size_t size, unsigned long flags)
	New operator used to allocate objects that takes extra flags to specify special operations If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new (size_t size, const std::nothrow_t &e, unsigned long flags)
	New operator used to allocate objects that takes extra flags to specify special operations If there is insufficient memory, NULL will be returned. More...
static UtilExport void *	operator new[] (size_t size)
	New operator used to allocate arrays of objects If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new[] (size_t size, const std::nothrow_t &e)
	New operator used to allocate arrays of objects If there is insufficient memory, NULL will be returned. More...
static UtilExport void *	operator new[] (size_t size, const char *filename, int line)
	New operator used to allocate arrays of objects If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new[] (size_t size, int block_type, const char *filename, int line)
	New operator used to allocate arrays of objects. More...
static UtilExport void *	operator new[] (size_t size, const std::nothrow_t &e, const char *filename, int line)
	New operator used to allocate arrays of objects If there is insufficient memory, NULL will be returned. More...
static UtilExport void *	operator new[] (size_t size, unsigned long flags)
	New operator used to allocate arrays of objects If there is insufficient memory, an exception will be thrown. More...
static UtilExport void *	operator new[] (size_t size, const std::nothrow_t &e, unsigned long flags)
	New operator used to allocate arrays of objects If there is insufficient memory, NULL will be returned. More...
static UtilExport void	operator delete (void *ptr)
	Standard delete operator used to deallocate an object If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete (void *ptr, const std::nothrow_t &e)
	Standard delete operator used to deallocate an object If the pointer is invalid, nothing will happen. More...
static UtilExport void	operator delete (void *ptr, const char *filename, int line)
	Delete operator used to deallocate an object that takes the filename and line number where the delete was called If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete (void *ptr, int block_type, const char *filename, int line)
	Delete operator used to deallocate an object that takes the type of memory, filename and line number where the delete was called If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete (void *ptr, const std::nothrow_t &e, const char *filename, int line)
	Delete operator used to deallocate an object that takes the filename and line number where the delete was called If the pointer is invalid, nothing will happen. More...
static UtilExport void	operator delete (void *ptr, unsigned long flags)
	Delete operator used to deallocate an object that takes extra flags to specify special operations If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete (void *ptr, const std::nothrow_t &e, unsigned long flags)
	Delete operator used to deallocate an object that takes extra flags to specify special operations If the pointer is invalid, nothing will happen. More...
static UtilExport void	operator delete[] (void *ptr)
	Standard delete operator used to deallocate an array of objects If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete[] (void *ptr, const std::nothrow_t &e)
	Standard delete operator used to deallocate an array of objects If the pointer is invalid, nothing will happen. More...
static UtilExport void	operator delete[] (void *ptr, const char *filename, int line)
	Delete operator used to deallocate an array of objects that takes the filename and line number where the delete was called If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete[] (void *ptr, int block_type, const char *filename, int line)
	Delete operator used to deallocate an array of objects that takes the type of memory, filename and line number where the delete was called If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete[] (void *ptr, const std::nothrow_t &e, const char *filename, int line)
	Delete operator used to deallocate an array of objects that takes the filename and line number where the delete was called If the pointer is invalid, nothing will happen. More...
static UtilExport void	operator delete[] (void *ptr, unsigned long flags)
	Delete operator used to deallocate an array of objects that takes extra flags to specify special operations If the pointer is invalid, an exception will be thrown. More...
static UtilExport void	operator delete[] (void *ptr, const std::nothrow_t &e, unsigned long flags)
	Delete operator used to deallocate an array of objects that takes extra flags to specify special operations If the pointer is invalid, an exception will be thrown. More...
static UtilExport void *	operator new (size_t size, void *placement_ptr)
	Placement new operator. More...
static UtilExport void	operator delete (void *ptr, void *placement_ptr)
	Placement delete operator. More...

Constructor & Destructor Documentation

Box3

(

)

Remarks

Constructor. The corners of the box are initialized such that the box is 'empty'. See IsEmpty().

Box3 ( const Point3 &  p, const Point3 &  q  )

inline

Remarks

Constructor. The corners of the box are initialized to the points passed. pmin=p; pmax = q.

{ pmin = p; pmax = q;}

Member Function Documentation

void Init

(

)

Remarks

Initializes this box such that pmin is a very large value while pmax is a small value. Thus the box is 'empty'. See IsEmpty().

void MakeCube	(	const Point3 &	p,
		float	side
	)

Remarks

Modifies this box such that half the side length is subtracted from pmin and added to pmax. This creates a cube with the specified center p and side length side.

Parameters:

const Point3& p

Specifies the center point of the cube.

float side

Specifies the side length.

Point3 Min ( ) const

inline

Remarks

Returns the value of corner pmin.

{ return pmin; }

Point3 Max ( ) const

inline

Remarks

Returns the value of corner pmax.

{ return pmax; }

Point3 Center ( ) const

inline

Remarks

Returns the center of this Box3 as a Point3.

{ return(pmin+pmax)/(float)2.0; }

Point3 Width ( ) const

inline

Remarks

Returns the width of the box as a Point3. This is pmax-pmin.

{ return(pmax-pmin); }

Point3 operator[]

(

int

i

)

const

Remarks

Operator[] returns the 'i-th' corner point:

Mapping : X Y Z

[0] : (min,min,min)

[1] : (max,min,min)

[2] : (min,max,min)

[3] : (max,max,min)

[4] : (min,min,max)

[5] : (max,min,max)

[6] : (min,max,max)

[7] : (max,max,max)

Parameters:

int i

Specifies the corner to retrieve (0 <= i <= 7)

Returns

The 'i-th' corner point as a Point3.

Box3& operator+=

(

const Point3 &

p

)

Remarks

Expands this Box3 to include the Point3 p.

Parameters:

const Point3& p

Specifies the point to expand the box to include.

Box3& operator+=

(

const Box3 &

b

)

Remarks

Expands this Box3 to include the Box3 b.

Parameters:

const Box3& b

Specifies the Box3 to expand this box to include.

void Scale

(

float

s

)

Remarks

Scales this box about its center by the specified scale.

Parameters:

float s

Specifies the scale factor for this Box3.

void Translate

(

const Point3 &

p

)

Remarks

Translates this box by the distance specified. The point is added to each corner.

Parameters:

const Point3 &p

Specifies the distance to translate the box.

void EnlargeBy

(

float

s

)

Remarks

Enlarges this box. A Point3 is created from s as Point3(s,s,s) and added to pmax and subtracted from pmin. If the box is 'empty', the box is centered at (0,0,0) and then enlarged.

void IncludePoints	(	Point3 *	pts,
		int	numpoints,
		Matrix3 *	tm = NULL
	)

Box3 operator*

(

const Matrix3 &

tm

)

const

Remarks

Returns a box that bounds the 8 transformed corners of the input box.

Parameters:

const Matrix3& tm

Specifies the matrix to transform the box corners by.

int IsEmpty

(

)

const

Remarks

Determines if the box is empty. This indicates the box has not had specific values set by the developer.

Returns

Nonzero if the box is empty; otherwise 0.

int Contains

(

const Point3 &

p

)

const

Remarks

Determines if the specified point p is contained in this box.

Parameters:

const Point3& p

Specifies the point to check.

Returns

Nonzero if the specified point is contained in this box; otherwise 0.

int Contains

(

const Box3 &

b

)

const

Remarks

Determines if the specified Box3 is contained totally within this box.

Parameters:

const Box3& b

Specifies the box to check.

Returns

Nonzero if the specified box is entirely contained within this box; otherwise 0.

Operators:

int Intersects

(

const Box3 &

b

)

const

Member Data Documentation

Point3 pmin

Point3 pmax