ON_3dPoint Class Reference

#include <opennurbs_point.h>

Inheritance diagram for ON_3dPoint:

Public Member Functions
	ON_3dPoint ()=default
	x,y,z not initialized More...
	ON_3dPoint (const class ON_2fPoint &)
	from 2f point More...
	ON_3dPoint (const class ON_2fVector &)
	from 2f point More...
	ON_3dPoint (const class ON_3fPoint &)
	from 3f point More...
	ON_3dPoint (const class ON_3fVector &)
	from 3f point More...
	ON_3dPoint (const class ON_4fPoint &h)
	from 4f point- h.w must be non-zero More...
	ON_3dPoint (const double *)
	from double[3] array More...
	ON_3dPoint (const float *)
	from float[3] array More...
	ON_3dPoint (const ON_2dPoint &)
	from 2d point More...
	ON_3dPoint (const ON_2dVector &)
	from 2d vector More...
	ON_3dPoint (const ON_3dPoint &)=default
	ON_3dPoint (const ON_3dVector &)
	from 3d vector More...
	ON_3dPoint (const ON_4dPoint &h)
	from 4d point - h.w must be non-zero More...
	ON_3dPoint (double x, double y, double z)
	~ON_3dPoint ()=default
ON__UINT32	DataCRC (ON__UINT32 current_remainder) const
double	DistanceTo (const ON_3dPoint &) const
double	DistanceToSquared (const ON_3dPoint &) const
double	Fuzz (double tolerance=ON_ZERO_TOLERANCE) const
	tolerance to use when comparing 3d points More...
bool	IsCoincident (const ON_3dPoint &P) const
bool	IsNan () const
bool	IsNotZero () const
bool	IsUnset () const
bool	IsUnsetOrNan () const
bool	IsValid () const
bool	IsZero () const
double	MaximumCoordinate () const
	absolute value of maximum coordinate More...
int	MaximumCoordinateIndex () const
double	MinimumCoordinate () const
	absolute value of minimum coordinate More...
int	MinimumCoordinateIndex () const
	operator const double * () const
	operator double * ()
	(double*) conversion operators More...
bool	operator!= (const ON_3dPoint &) const
double	operator* (const ON_3dPoint &) const
	dot product for points acting as vectors More...
double	operator* (const ON_3dVector &) const
	dot product for points acting as vectors More...
ON_3dPoint	operator* (const ON_Xform &) const
ON_3dPoint	operator* (double) const
ON_3dPoint	operator* (float) const
ON_3dPoint	operator* (int) const
ON_3dPoint &	operator*= (double)
ON_3dPoint	operator+ (const ON_2dPoint &) const
ON_3dPoint	operator+ (const ON_2dVector &) const
ON_3dPoint	operator+ (const ON_2fPoint &) const
ON_3dPoint	operator+ (const ON_2fVector &) const
ON_3dPoint	operator+ (const ON_3dPoint &) const
ON_3dPoint	operator+ (const ON_3dVector &) const
ON_3dPoint	operator+ (const ON_3fPoint &) const
ON_3dPoint	operator+ (const ON_3fVector &) const
ON_3dPoint &	operator+= (const ON_3dVector &)
ON_3dVector	operator- (const ON_2dPoint &) const
ON_3dPoint	operator- (const ON_2dVector &) const
ON_3dVector	operator- (const ON_2fPoint &) const
ON_3dPoint	operator- (const ON_2fVector &) const
ON_3dVector	operator- (const ON_3dPoint &) const
ON_3dPoint	operator- (const ON_3dVector &) const
ON_3dVector	operator- (const ON_3fPoint &) const
ON_3dPoint	operator- (const ON_3fVector &) const
ON_3dPoint &	operator-= (const ON_3dVector &)
ON_3dPoint	operator/ (double) const
ON_3dPoint	operator/ (float) const
ON_3dPoint	operator/ (int) const
ON_3dPoint &	operator/= (double)
bool	operator< (const ON_3dPoint &) const
bool	operator<= (const ON_3dPoint &) const
	dictionary order comparisons More...
ON_3dPoint &	operator= (const class ON_2fPoint &)
ON_3dPoint &	operator= (const class ON_2fVector &)
ON_3dPoint &	operator= (const class ON_3fPoint &)
ON_3dPoint &	operator= (const class ON_3fVector &)
ON_3dPoint &	operator= (const class ON_4fPoint &)
ON_3dPoint &	operator= (const double *)
	point = double[3] support More...
ON_3dPoint &	operator= (const float *)
	point = float[3] support More...
ON_3dPoint &	operator= (const ON_2dPoint &)
	use implicit operator=(const ON_3dPoint&) More...
ON_3dPoint &	operator= (const ON_2dVector &)
ON_3dPoint &	operator= (const ON_3dPoint &)=default
ON_3dPoint &	operator= (const ON_3dVector &)
ON_3dPoint &	operator= (const ON_4dPoint &)
bool	operator== (const ON_3dPoint &) const
bool	operator> (const ON_3dPoint &) const
bool	operator>= (const ON_3dPoint &) const
double &	operator[] (int)
	index operators mimic double[3] behavior More...
double	operator[] (int) const
double &	operator[] (unsigned int)
double	operator[] (unsigned int) const
void	Rotate (double angle, const ON_3dVector &axis, const ON_3dPoint &center)
void	Rotate (double sin_angle, double cos_angle, const ON_3dVector &axis, const ON_3dPoint &center)
void	Set (double x, double y, double z)
	set 3d point value More...
void	Transform (const ON_Xform &)
void	Zero ()
	set all coordinates to zero; More...

Static Public Member Functions
static int	Compare (const ON_3dPoint &lhs, const ON_3dPoint &rhs)
static const ON_3dPoint	Midpoint (const ON_3dPoint &A, const ON_3dPoint &B)

Public Attributes
double	x
double	y
double	z

Static Public Attributes
static const ON_3dPoint	NanPoint
	(ON_DBL_QNAN,ON_DBL_QNAN,ON_DBL_QNAN) More...
static const ON_3dPoint	Origin
	(0.0,0.0,0.0) More...
static const ON_3dPoint	UnsetPoint
	(ON_UNSET_VALUE,ON_UNSET_VALUE,ON_UNSET_VALUE) More...

Detailed Description

ON_3dPoint

Constructor & Destructor Documentation

ON_3dPoint() [1/14]

ON_3dPoint::ON_3dPoint ( )

default

x,y,z not initialized

~ON_3dPoint()

ON_3dPoint::~ON_3dPoint ( )

default

ON_3dPoint() [2/14]

ON_3dPoint::ON_3dPoint ( const ON_3dPoint &  )

default

ON_3dPoint() [3/14]

ON_3dPoint::ON_3dPoint ( double  x, double  y, double  z  )

explicit

ON_3dPoint() [4/14]

ON_3dPoint::ON_3dPoint

(

const ON_2dPoint &

)

from 2d point

ON_3dPoint() [5/14]

ON_3dPoint::ON_3dPoint ( const ON_4dPoint &  h )

explicit

from 4d point - h.w must be non-zero

ON_3dPoint() [6/14]

ON_3dPoint::ON_3dPoint ( const ON_2dVector &  )

explicit

from 2d vector

ON_3dPoint() [7/14]

ON_3dPoint::ON_3dPoint

(

const ON_3dVector &

)

from 3d vector

ON_3dPoint() [8/14]

ON_3dPoint::ON_3dPoint ( const double *  )

explicit

from double[3] array

ON_3dPoint() [9/14]

ON_3dPoint::ON_3dPoint ( const class ON_2fPoint &  )

explicit

from 2f point

ON_3dPoint() [10/14]

ON_3dPoint::ON_3dPoint

(

const class ON_3fPoint &

)

from 3f point

ON_3dPoint() [11/14]

ON_3dPoint::ON_3dPoint ( const class ON_4fPoint &  h )

explicit

from 4f point- h.w must be non-zero

ON_3dPoint() [12/14]

ON_3dPoint::ON_3dPoint ( const class ON_2fVector &  )

explicit

from 2f point

ON_3dPoint() [13/14]

ON_3dPoint::ON_3dPoint ( const class ON_3fVector &  )

explicit

from 3f point

ON_3dPoint() [14/14]

ON_3dPoint::ON_3dPoint ( const float *  )

explicit

from float[3] array

Member Function Documentation

Compare()

static int ON_3dPoint::Compare ( const ON_3dPoint &  lhs, const ON_3dPoint &  rhs  )

static

Description: A well ordered dictionary compare function that is nan aware and can be used for robust sorting.

DataCRC()

ON__UINT32 ON_3dPoint::DataCRC

(

ON__UINT32

current_remainder

)

const

DistanceTo()

double ON_3dPoint::DistanceTo

(

const ON_3dPoint &

)

const

DistanceToSquared()

double ON_3dPoint::DistanceToSquared

(

const ON_3dPoint &

)

const

Fuzz()

double ON_3dPoint::Fuzz

(

double

tolerance = ON_ZERO_TOLERANCE

)

const

tolerance to use when comparing 3d points

IsCoincident()

bool ON_3dPoint::IsCoincident

(

const ON_3dPoint &

P

)

const

In opennurbs points within ON_ZERO_TOLERANCE are generally considered to be the same. Returns: True if for each coordinate pair, |a-b| <= ON_ZERO_TOLERANCE or |a-b| <= (fabs(a)+fabs(b))*ON_RELATIVE_TOLERANCE.

IsNan()

bool ON_3dPoint::IsNan

(

)

const

Returns: True if any coordinate is a nan.

IsNotZero()

bool ON_3dPoint::IsNotZero

(

)

const

Returns: true if at lease one coordinate is not zero and no coordinates are unset or nans.

IsUnset()

bool ON_3dPoint::IsUnset

(

)

const

Returns: True if any coordinate is ON_UNSET_VALUE or ON_UNSET_POSITIVE_VALUE

IsUnsetOrNan()

bool ON_3dPoint::IsUnsetOrNan

(

)

const

Returns: True if any coordinate is ON_UNSET_VALUE, ON_UNSET_POSITIVE_VALUE, or a nan

IsValid()

bool ON_3dPoint::IsValid

(

)

const

Returns: False if any coordinate is infinite, a nan, or ON_UNSET_VALUE.

IsZero()

bool ON_3dPoint::IsZero

(

)

const

Returns: true if all coordinates are not zero and no coordinates are nans. false otherwise.

MaximumCoordinate()

double ON_3dPoint::MaximumCoordinate

(

)

const

absolute value of maximum coordinate

MaximumCoordinateIndex()

int ON_3dPoint::MaximumCoordinateIndex

(

)

const

Midpoint()

static const ON_3dPoint ON_3dPoint::Midpoint ( const ON_3dPoint &  A, const ON_3dPoint &  B  )

static

Returns: (A+B)/2 Remarks: Exact when coordinates are equal and prevents overflow.

MinimumCoordinate()

double ON_3dPoint::MinimumCoordinate

(

)

const

absolute value of minimum coordinate

MinimumCoordinateIndex()

int ON_3dPoint::MinimumCoordinateIndex

(

)

const

operator const double *()

ON_3dPoint::operator const double *

(

)

const

operator double *()

ON_3dPoint::operator double *

(

)

(double*) conversion operators

operator!=()

bool ON_3dPoint::operator!=

(

const ON_3dPoint &

)

const

operator*() [1/6]

double ON_3dPoint::operator*

(

const ON_3dPoint &

)

const

dot product for points acting as vectors

operator*() [2/6]

double ON_3dPoint::operator*

(

const ON_3dVector &

)

const

dot product for points acting as vectors

operator*() [3/6]

ON_3dPoint ON_3dPoint::operator*

(

const ON_Xform &

)

const

operator*() [4/6]

ON_3dPoint ON_3dPoint::operator*

(

double

)

const

operator*() [5/6]

ON_3dPoint ON_3dPoint::operator*

(

float

)

const

operator*() [6/6]

ON_3dPoint ON_3dPoint::operator*

(

int

)

const

operator*=()

ON_3dPoint& ON_3dPoint::operator*=

(

double

)

operator+() [1/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_2dPoint &

)

const

operator+() [2/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_2dVector &

)

const

operator+() [3/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_2fPoint &

)

const

operator+() [4/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_2fVector &

)

const

operator+() [5/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_3dPoint &

)

const

operator+() [6/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_3dVector &

)

const

operator+() [7/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_3fPoint &

)

const

operator+() [8/8]

ON_3dPoint ON_3dPoint::operator+

(

const ON_3fVector &

)

const

operator+=()

ON_3dPoint& ON_3dPoint::operator+=

(

const ON_3dVector &

)

operator-() [1/8]

ON_3dVector ON_3dPoint::operator-

(

const ON_2dPoint &

)

const

operator-() [2/8]

ON_3dPoint ON_3dPoint::operator-

(

const ON_2dVector &

)

const

operator-() [3/8]

ON_3dVector ON_3dPoint::operator-

(

const ON_2fPoint &

)

const

operator-() [4/8]

ON_3dPoint ON_3dPoint::operator-

(

const ON_2fVector &

)

const

operator-() [5/8]

ON_3dVector ON_3dPoint::operator-

(

const ON_3dPoint &

)

const

operator-() [6/8]

ON_3dPoint ON_3dPoint::operator-

(

const ON_3dVector &

)

const

operator-() [7/8]

ON_3dVector ON_3dPoint::operator-

(

const ON_3fPoint &

)

const

operator-() [8/8]

ON_3dPoint ON_3dPoint::operator-

(

const ON_3fVector &

)

const

operator-=()

ON_3dPoint& ON_3dPoint::operator-=

(

const ON_3dVector &

)

operator/() [1/3]

ON_3dPoint ON_3dPoint::operator/

(

double

)

const

operator/() [2/3]

ON_3dPoint ON_3dPoint::operator/

(

float

)

const

operator/() [3/3]

ON_3dPoint ON_3dPoint::operator/

(

int

)

const

operator/=()

ON_3dPoint& ON_3dPoint::operator/=

(

double

)

operator<()

bool ON_3dPoint::operator<

(

const ON_3dPoint &

)

const

operator<=()

bool ON_3dPoint::operator<=

(

const ON_3dPoint &

)

const

dictionary order comparisons

operator=() [1/12]

ON_3dPoint& ON_3dPoint::operator=

(

const class ON_2fPoint &

)

operator=() [2/12]

ON_3dPoint& ON_3dPoint::operator=

(

const class ON_2fVector &

)

operator=() [3/12]

ON_3dPoint& ON_3dPoint::operator=

(

const class ON_3fPoint &

)

operator=() [4/12]

ON_3dPoint& ON_3dPoint::operator=

(

const class ON_3fVector &

)

operator=() [5/12]

ON_3dPoint& ON_3dPoint::operator=

(

const class ON_4fPoint &

)

operator=() [6/12]

ON_3dPoint& ON_3dPoint::operator=

(

const double *

)

point = double[3] support

operator=() [7/12]

ON_3dPoint& ON_3dPoint::operator=

(

const float *

)

point = float[3] support

operator=() [8/12]

ON_3dPoint& ON_3dPoint::operator=

(

const ON_2dPoint &

)

use implicit operator=(const ON_3dPoint&)

operator=() [9/12]

ON_3dPoint& ON_3dPoint::operator=

(

const ON_2dVector &

)

operator=() [10/12]

ON_3dPoint& ON_3dPoint::operator= ( const ON_3dPoint &  )

default

operator=() [11/12]

ON_3dPoint& ON_3dPoint::operator=

(

const ON_3dVector &

)

operator=() [12/12]

ON_3dPoint& ON_3dPoint::operator=

(

const ON_4dPoint &

)

operator==()

bool ON_3dPoint::operator==

(

const ON_3dPoint &

)

const

operator>()

bool ON_3dPoint::operator>

(

const ON_3dPoint &

)

const

operator>=()

bool ON_3dPoint::operator>=

(

const ON_3dPoint &

)

const

operator[]() [1/4]

double& ON_3dPoint::operator[]

(

int

)

index operators mimic double[3] behavior

operator[]() [2/4]

double ON_3dPoint::operator[]

(

int

)

const

operator[]() [3/4]

double& ON_3dPoint::operator[]

(

unsigned int

)

operator[]() [4/4]

double ON_3dPoint::operator[]

(

unsigned int

)

const

Rotate() [1/2]

void ON_3dPoint::Rotate	(	double	angle,
		const ON_3dVector &	axis,
		const ON_3dPoint &	center
	)

Parameters

angle	angle in radians
axis	axis of rotation
center	center of rotation

Rotate() [2/2]

void ON_3dPoint::Rotate	(	double	sin_angle,
		double	cos_angle,
		const ON_3dVector &	axis,
		const ON_3dPoint &	center
	)

Parameters

sin_angle	sin(angle)
cos_angle	cos(angle)
axis	axis of rotation
center	center of rotation

Set()

void ON_3dPoint::Set	(	double	x,
		double	y,
		double	z
	)

set 3d point value

Transform()

void ON_3dPoint::Transform

(

const ON_Xform &

)

These transform the point in place. The transformation matrix acts on the left of the point; i.e., result = transformation*point

Zero()

void ON_3dPoint::Zero

(

)

set all coordinates to zero;

Member Data Documentation

NanPoint

const ON_3dPoint ON_3dPoint::NanPoint

static

(ON_DBL_QNAN,ON_DBL_QNAN,ON_DBL_QNAN)

Origin

const ON_3dPoint ON_3dPoint::Origin

static

(0.0,0.0,0.0)

UnsetPoint

const ON_3dPoint ON_3dPoint::UnsetPoint

static

(ON_UNSET_VALUE,ON_UNSET_VALUE,ON_UNSET_VALUE)

x

double ON_3dPoint::x

y

double ON_3dPoint::y

z

double ON_3dPoint::z