lsst::sphgeom::Box3d Class Reference

Box3d represents a box in ℝ³. More...

#include <Box3d.h>

Public Member Functions
	Box3d ()
	This constructor creates an empty 3D box.
	Box3d (Vector3d const &v)
	This constructor creates a box containing a single point.
	Box3d (Vector3d const &v1, Vector3d const &v2)
	This constructor creates a box spanning the intervals [v1.x(), v2.x()], [v1.y(), v2.y()], and [v1.z(), v2.z()].
	Box3d (Vector3d const &v, double w, double h, double d)
	This constructor creates a box with center v, half-width w, half-height h, and half-depth d.
	Box3d (Interval1d const &x, Interval1d const &y, Interval1d const &z)
	This constructor creates a box spanning the given x, y, and z intervals.
bool	operator== (Box3d const &b) const
	Two 3D boxes are equal if they contain the same points.
bool	operator!= (Box3d const &b) const
bool	operator== (Vector3d const &v) const
	A box is equal to a point if it contains only that point.
bool	operator!= (Vector3d const &v) const
Interval1d	operator() (int i) const
	The function call operator returns the i-th interval of this box.
Interval1d const &	x () const
Interval1d const &	y () const
Interval1d const &	z () const
bool	isEmpty () const
	isEmpty returns true if this box does not contain any points.
bool	isFull () const
	isFull returns true if this box contains all points in ℝ³.
Vector3d	getCenter () const
	getCenter returns the center of this box.
double	getWidth () const
	getWidth returns the width (x-axis extent) of this box.
double	getHeight () const
	getHeight returns the height (y-axis extent) of this box.
double	getDepth () const
	getDepth returns the depth (z-axis extent) of this box.
Box3d &	dilateBy (double r)
	dilateBy minimally expands or shrinks this Box to include or remove all points within distance |r| of its boundary.
Box3d	dilatedBy (double r) const
Box3d &	dilateBy (double w, double h, double d)
	dilateBy morphologically dilates or erodes the x, y, and z intervals of this box by w, h, and d.
Box3d	dilatedBy (double w, double h, double d) const
Box3d &	erodeBy (double r)
Box3d	erodedBy (double r) const
Box3d &	erodeBy (double w, double h, double d)
Box3d	erodedBy (double w, double h, double d) const
Relationship	relate (Vector3d const &v) const
Relationship	relate (Box3d const &b) const
bool	contains (Vector3d const &b) const
bool	contains (Box3d const &b) const
bool	contains (double x_, double y_, double z_) const
bool	isDisjointFrom (Vector3d const &b) const
bool	isDisjointFrom (Box3d const &b) const
bool	intersects (Vector3d const &b) const
bool	intersects (Box3d const &b) const
bool	isWithin (Vector3d const &b) const
bool	isWithin (Box3d const &b) const
Box3d &	clipTo (Vector3d const &b)
Box3d &	clipTo (Box3d const &b)
Box3d	clippedTo (Vector3d const &b) const
Box3d	clippedTo (Box3d const &b) const
Box3d &	expandTo (Vector3d const &b)
Box3d &	expandTo (Box3d const &b)
Box3d	expandedTo (Vector3d const &b) const
Box3d	expandedTo (Box3d const &b) const

Static Public Member Functions
static Box3d	empty ()
static Box3d	full ()
static Box3d	aroundUnitSphere ()
	aroundUnitSphere returns a minimal Box3d containing the unit sphere.

Detailed Description

Box3d represents a box in ℝ³.

It is the Cartesian product of three intervals of ℝ.

Definition at line 49 of file Box3d.h.

Constructor & Destructor Documentation

Box3d() [1/5]

lsst::sphgeom::Box3d::Box3d ( )

inline

This constructor creates an empty 3D box.

Definition at line 70 of file Box3d.h.

{}

Box3d() [2/5]

lsst::sphgeom::Box3d::Box3d ( Vector3d const & v )

inlineexplicit

This constructor creates a box containing a single point.

Definition at line 73 of file Box3d.h.

    {
        _intervals[0] = Interval1d(v.x());
        _intervals[1] = Interval1d(v.y());
        _intervals[2] = Interval1d(v.z());
        _enforceInvariants();
    }

Box3d() [3/5]

lsst::sphgeom::Box3d::Box3d ( Vector3d const & v1, Vector3d const & v2 )

inline

This constructor creates a box spanning the intervals [v1.x(), v2.x()], [v1.y(), v2.y()], and [v1.z(), v2.z()].

Definition at line 83 of file Box3d.h.

    {
        _intervals[0] = Interval1d(v1.x(), v2.x());
        _intervals[1] = Interval1d(v1.y(), v2.y());
        _intervals[2] = Interval1d(v1.z(), v2.z());
        _enforceInvariants();
    }

Box3d() [4/5]

lsst::sphgeom::Box3d::Box3d ( Vector3d const & v, double w, double h, double d )

inline

This constructor creates a box with center v, half-width w, half-height h, and half-depth d.

Definition at line 93 of file Box3d.h.

    {
        _intervals[0] = Interval1d(v.x()).dilatedBy(w);
        _intervals[1] = Interval1d(v.y()).dilatedBy(h);
        _intervals[2] = Interval1d(v.z()).dilatedBy(d);
        _enforceInvariants();
    }

Box3d() [5/5]

lsst::sphgeom::Box3d::Box3d ( Interval1d const & x, Interval1d const & y, Interval1d const & z )

inline

This constructor creates a box spanning the given x, y, and z intervals.

Definition at line 103 of file Box3d.h.

    {
        _intervals[0] = Interval1d(x);
        _intervals[1] = Interval1d(y);
        _intervals[2] = Interval1d(z);
        _enforceInvariants();
    }

Member Function Documentation

aroundUnitSphere()

static Box3d lsst::sphgeom::Box3d::aroundUnitSphere ( )

inlinestatic

aroundUnitSphere returns a minimal Box3d containing the unit sphere.

Definition at line 63 of file Box3d.h.

                                    {
        return Box3d(Interval1d(-1.0, 1.0),
                     Interval1d(-1.0, 1.0),
                     Interval1d(-1.0, 1.0));
    }

clippedTo() [1/2]

Box3d lsst::sphgeom::Box3d::clippedTo ( Box3d const & b ) const

inline

clippedTo returns the intersection of this box and b.

Definition at line 247 of file Box3d.h.

                                           {
        return Box3d(*this).clipTo(b);
    }

clippedTo() [2/2]

Box3d lsst::sphgeom::Box3d::clippedTo ( Vector3d const & b ) const

inline

clippedTo returns the intersection of this box and b.

Definition at line 243 of file Box3d.h.

                                              {
        return Box3d(*this).clipTo(b);
    }

clipTo() [1/2]

Box3d & lsst::sphgeom::Box3d::clipTo ( Box3d const & b )

inline

clipTo sets this box to the intersection of this box and b.

Definition at line 232 of file Box3d.h.

                                    {
        _intervals[0].clipTo(b.x());
        _intervals[1].clipTo(b.y());
        _intervals[2].clipTo(b.z());
        _enforceInvariants();
        return *this;
    }

clipTo() [2/2]

Box3d & lsst::sphgeom::Box3d::clipTo ( Vector3d const & b )

inline

clipTo sets this box to the intersection of this box and b.

Definition at line 224 of file Box3d.h.

                                       {
        _intervals[0].clipTo(b.x());
        _intervals[1].clipTo(b.y());
        _intervals[2].clipTo(b.z());
        _enforceInvariants();
        return *this;
    }

contains() [1/3]

bool lsst::sphgeom::Box3d::contains ( Box3d const & b ) const

inline

contains returns true iff the intersection of this box and b is equal to b.

Definition at line 171 of file Box3d.h.

                                         {
        return x().contains(b.x()) &&
               y().contains(b.y()) &&
               z().contains(b.z());
    }

contains() [2/3]

bool lsst::sphgeom::Box3d::contains ( double x_, double y_, double z_ ) const

inline

contains returns true iff the intersection of this box and b is equal to b.

Definition at line 177 of file Box3d.h.

                                                         {
        return x().contains(x_) && y().contains(y_) && z().contains(z_);
    }

contains() [3/3]

bool lsst::sphgeom::Box3d::contains ( Vector3d const & b ) const

inline

contains returns true iff the intersection of this box and b is equal to b.

Definition at line 165 of file Box3d.h.

                                            {
        return x().contains(b.x()) &&
               y().contains(b.y()) &&
               z().contains(b.z());
    }

dilateBy() [1/2]

Box3d & lsst::sphgeom::Box3d::dilateBy ( double r )

inline

dilateBy minimally expands or shrinks this Box to include or remove all points within distance |r| of its boundary.

If this box is empty or full, or if r is zero, there is no effect. If r is positive, points are added, and if r is negative they are removed.

Definition at line 287 of file Box3d.h.

{ return dilateBy(r, r, r); }

dilateBy() [2/2]

Box3d & lsst::sphgeom::Box3d::dilateBy ( double w, double h, double d )

inline

dilateBy morphologically dilates or erodes the x, y, and z intervals of this box by w, h, and d.

If w is positive, the x interval is dilated by [-w,w]. If w is zero, the corresponding interval is not modified, and if it is negative, the longitude interval is eroded by [w,-w]. The action of h and d on the y and z intervals is analogous.

If this box is empty or full, there is no effect.

Definition at line 297 of file Box3d.h.

                                                   {
        _intervals[0].dilateBy(w);
        _intervals[1].dilateBy(h);
        _intervals[2].dilateBy(d);
        _enforceInvariants();
        return *this;
    }

dilatedBy() [1/2]

Box3d lsst::sphgeom::Box3d::dilatedBy ( double r ) const

inline

Definition at line 288 of file Box3d.h.

{ return Box3d(*this).dilateBy(r); }

dilatedBy() [2/2]

Box3d lsst::sphgeom::Box3d::dilatedBy ( double w, double h, double d ) const

inline

Definition at line 304 of file Box3d.h.

                                                        {
        return Box3d(*this).dilateBy(w, h, d);
    }

empty()

static Box3d lsst::sphgeom::Box3d::empty ( )

inlinestatic

Definition at line 52 of file Box3d.h.

                         {
        return Box3d();
    }

erodeBy() [1/2]

Box3d & lsst::sphgeom::Box3d::erodeBy ( double r )

inline

Definition at line 307 of file Box3d.h.

{ return dilateBy(-r); }

erodeBy() [2/2]

Box3d & lsst::sphgeom::Box3d::erodeBy ( double w, double h, double d )

inline

Definition at line 309 of file Box3d.h.

                                                  {
        return dilateBy(-w, -h, -d);
    }

erodedBy() [1/2]

Box3d lsst::sphgeom::Box3d::erodedBy ( double r ) const

inline

Definition at line 308 of file Box3d.h.

{ return dilatedBy(-r); }

erodedBy() [2/2]

Box3d lsst::sphgeom::Box3d::erodedBy ( double w, double h, double d ) const

inline

Definition at line 312 of file Box3d.h.

                                                       {
        return dilatedBy(-w, -h, -d);
    }

expandedTo() [1/2]

Box3d lsst::sphgeom::Box3d::expandedTo ( Box3d const & b ) const

inline

expandedTo returns the smallest box containing the union of this box and b.

Definition at line 276 of file Box3d.h.

                                            {
        return Box3d(*this).expandTo(b);
    }

expandedTo() [2/2]

Box3d lsst::sphgeom::Box3d::expandedTo ( Vector3d const & b ) const

inline

expandedTo returns the smallest box containing the union of this box and b.

Definition at line 272 of file Box3d.h.

                                               {
        return Box3d(*this).expandTo(b);
    }

expandTo() [1/2]

Box3d & lsst::sphgeom::Box3d::expandTo ( Box3d const & b )

inline

expandTo minimally expands this box to contain b.

Definition at line 261 of file Box3d.h.

                                      {
        _intervals[0].expandTo(b.x());
        _intervals[1].expandTo(b.y());
        _intervals[2].expandTo(b.z());
        return *this;
    }

expandTo() [2/2]

Box3d & lsst::sphgeom::Box3d::expandTo ( Vector3d const & b )

inline

expandTo minimally expands this box to contain b.

Definition at line 254 of file Box3d.h.

                                         {
        _intervals[0].expandTo(b.x());
        _intervals[1].expandTo(b.y());
        _intervals[2].expandTo(b.z());
        return *this;
    }

full()

static Box3d lsst::sphgeom::Box3d::full ( )

inlinestatic

Definition at line 56 of file Box3d.h.

                        {
        return Box3d(Interval1d::full(),
                     Interval1d::full(),
                     Interval1d::full());
    }

getCenter()

Vector3d lsst::sphgeom::Box3d::getCenter ( ) const

inline

getCenter returns the center of this box.

An arbitrary vector is returned for boxes that are empty or full.

Definition at line 146 of file Box3d.h.

                               {
        return Vector3d(x().getCenter(), y().getCenter(), z().getCenter());
    }

getDepth()

double lsst::sphgeom::Box3d::getDepth ( ) const

inline

getDepth returns the depth (z-axis extent) of this box.

It is negative or NaN for empty boxes, and infinite for full boxes.

Definition at line 160 of file Box3d.h.

{ return z().getSize(); }

getHeight()

double lsst::sphgeom::Box3d::getHeight ( ) const

inline

getHeight returns the height (y-axis extent) of this box.

It is negative or NaN for empty boxes, and infinite for full boxes.

Definition at line 156 of file Box3d.h.

{ return y().getSize(); }

getWidth()

double lsst::sphgeom::Box3d::getWidth ( ) const

inline

getWidth returns the width (x-axis extent) of this box.

It is negative or NaN for empty boxes, and infinite for full boxes.

Definition at line 152 of file Box3d.h.

{ return x().getSize(); }

intersects() [1/2]

bool lsst::sphgeom::Box3d::intersects ( Box3d const & b ) const

inline

intersects returns true iff the intersection of this box and b is non-empty.

Definition at line 199 of file Box3d.h.

                                           {
        return x().intersects(b.x()) &&
               y().intersects(b.y()) &&
               z().intersects(b.z());
    }

intersects() [2/2]

bool lsst::sphgeom::Box3d::intersects ( Vector3d const & b ) const

inline

intersects returns true iff the intersection of this box and b is non-empty.

Definition at line 193 of file Box3d.h.

                                              {
        return x().intersects(b.x()) &&
               y().intersects(b.y()) &&
               z().intersects(b.z());
    }

isDisjointFrom() [1/2]

bool lsst::sphgeom::Box3d::isDisjointFrom ( Box3d const & b ) const

inline

isDisjointFrom returns true iff the intersection of this box and b is empty.

Definition at line 187 of file Box3d.h.

{ return !intersects(b); }

isDisjointFrom() [2/2]

bool lsst::sphgeom::Box3d::isDisjointFrom ( Vector3d const & b ) const

inline

isDisjointFrom returns true iff the intersection of this box and b is empty.

Definition at line 185 of file Box3d.h.

{ return !intersects(b); }

isEmpty()

bool lsst::sphgeom::Box3d::isEmpty ( ) const

inline

isEmpty returns true if this box does not contain any points.

Definition at line 135 of file Box3d.h.

                         {
        return x().isEmpty();
    }

isFull()

bool lsst::sphgeom::Box3d::isFull ( ) const

inline

isFull returns true if this box contains all points in ℝ³.

Definition at line 140 of file Box3d.h.

                        {
        return x().isFull() && y().isFull() && z().isFull();
    }

isWithin() [1/2]

bool lsst::sphgeom::Box3d::isWithin ( Box3d const & b ) const

inline

isWithin returns true if the intersection of this box and b is this box.

Definition at line 215 of file Box3d.h.

                                         {
        return x().isWithin(b.x()) &&
               y().isWithin(b.y()) &&
               z().isWithin(b.z());
    }

isWithin() [2/2]

bool lsst::sphgeom::Box3d::isWithin ( Vector3d const & b ) const

inline

isWithin returns true if the intersection of this box and b is this box.

Definition at line 209 of file Box3d.h.

                                            {
        return x().isWithin(b.x()) &&
               y().isWithin(b.y()) &&
               z().isWithin(b.z());
    }

operator!=() [1/2]

bool lsst::sphgeom::Box3d::operator!= ( Box3d const & b ) const

inline

Definition at line 120 of file Box3d.h.

{ return !(*this == b); }

operator!=() [2/2]

bool lsst::sphgeom::Box3d::operator!= ( Vector3d const & v ) const

inline

Definition at line 125 of file Box3d.h.

{ return !(*this == v); }

operator()()

Interval1d lsst::sphgeom::Box3d::operator() ( int i ) const

inline

The function call operator returns the i-th interval of this box.

Definition at line 128 of file Box3d.h.

{ return _intervals[i]; }

operator==() [1/2]

bool lsst::sphgeom::Box3d::operator== ( Box3d const & b ) const

inline

Two 3D boxes are equal if they contain the same points.

Definition at line 114 of file Box3d.h.

                                           {
        return _intervals[0] == b._intervals[0] &&
               _intervals[1] == b._intervals[1] &&
               _intervals[2] == b._intervals[2];
    }

operator==() [2/2]

bool lsst::sphgeom::Box3d::operator== ( Vector3d const & v ) const

inline

A box is equal to a point if it contains only that point.

Definition at line 123 of file Box3d.h.

{ return *this == Box3d(v); }

relate() [1/2]

Relationship lsst::sphgeom::Box3d::relate ( Box3d const & b ) const

inline

Definition at line 318 of file Box3d.h.

                                               {
        Relationship xr = x().relate(b.x());
        Relationship yr = y().relate(b.y());
        Relationship zr = z().relate(b.z());
        // If the box x, y, or z intervals are disjoint, then so are the
        // boxes. The other relationships must hold for all constituent
        // intervals in order to hold for the boxes.
        return ((xr & yr & zr) & (CONTAINS | WITHIN)) |
               ((xr | yr | zr) & DISJOINT);
    }

relate() [2/2]

Relationship lsst::sphgeom::Box3d::relate ( Vector3d const & v ) const

inline

Definition at line 316 of file Box3d.h.

{ return relate(Box3d(v)); }

x()

Interval1d const & lsst::sphgeom::Box3d::x ( ) const

inline

Definition at line 130 of file Box3d.h.

{ return _intervals[0]; }

y()

Interval1d const & lsst::sphgeom::Box3d::y ( ) const

inline

Definition at line 131 of file Box3d.h.

{ return _intervals[1]; }

z()

Interval1d const & lsst::sphgeom::Box3d::z ( ) const

inline

Definition at line 132 of file Box3d.h.

{ return _intervals[2]; }

---

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

• /j/snowflake/release/lsstsw/stack/lsst-scipipe-12.0.0/Linux/sphgeom/g00d0e8bbd7+edbf708997/include/lsst/sphgeom/Box3d.h