Vector in three-dimensional space. More...

#include <mb_vector3d.h>

Collaboration diagram for MbVector3D:

Public Member Functions
	MbVector3D ()
	Constructor without parameters, vector is zero.

	MbVector3D (double a, double b, double c)
	The constructor by coordinates.

	MbVector3D (const MbVector3D &v)
	Copy constructor.

	MbVector3D (const MbFloatVector3D &)
	Copy-constructor.

	MbVector3D (const MbCartPoint3D &p)
	Constructor by point.

	MbVector3D (const MbCartPoint3D &p1, const MbCartPoint3D &p2)
	Constructor by two points.

	MbVector3D (const MbVector &v2d, const MbPlacement3D &place)
	Constructor by two-dimensional vector in XOY plane of local coordinate system 'place'.

	MbVector3D (const MbVector &v2d)
	Constructor by two-dimensional vector in XOY plane of local coordinate system 'place'.

void	Init (const MbVector &, const MbPlacement3D &)
	Initialize by two-dimensional vector in XOY plane of local coordinate system 'place'.

void	InitXY (const MbVector &)
	Initialize by two-dimensional vector.

void	Init (double a, double b, double c)
	Initialize by coordinates.

template<class Vector >
void	Init (const Vector &v)
	Initialize by another vector.

void	Init (const MbCartPoint3D &p1, const MbCartPoint3D &p2)
	Initialize by two points.

void	Add (double a, double b, double c)
	Increase coordinates by given values.

void	Add (const MbVector3D &v)
	Increase coordinates by values of given vector.

void	SetZero ()
	Set coordinates of vector to zero.

bool	IsZero (double eps=Math::lengthEpsilon) const
	Check if vector is zero.

MbVector3D &	Transform (const MbMatrix3D &matr)
	Transform according to the matrix. A matrix acts on a vector from the right.

MbVector3D &	Rotate (const MbVector3D &axis, double angle)
	Rotate at given angle around axis.

MbVector3D &	Rotate (const MbAxis3D &axis, double angle)
	Rotate at given angle around axis.

MbVector3D &	RotateXYZ (int number, double angle)
	Rotate around the axis (by its number) at a given angle ( 0 - X-axis, 1 - Y-axis, 2 - Z-axis ).

bool	IsDegenerate (double comEps=Math::region) const
	Check vector for degeneracy.

bool	IsNormalized (double eps=Math::lengthEpsilon) const
	Check if vector is normalized.

bool	RoundColinear (const MbVector3D &with, double eps=Math::paramNear) const
	Check if vectors are colinear with given tolerance (by cosine of angle between vectors).

bool	Colinear (const MbVector3D &with, double eps=Math::angleRegion) const
	Check if vectors are colinear with given tolerance (by sine of angle between vectors).

bool	Orthogonal (const MbVector3D &with, double eps=Math::angleRegion) const
	Check if vectors are orthogonal with given tolerance.

double	Length () const
	Calculate vector length.

double	Length2 () const
	Calculate vector length square.

double	Angle (const MbVector3D &with) const
	Calculate angle between vectors.

bool	Normalize ()
	Normalize a vector.

MbVector3D	GetNormalized () const
	Return normalized copy of vector.

MbVector3D &	Invert ()
	Change vector direction to opposite.

MbVector3D	TangentComponent (const MbVector3D &v) const
	Get parallel to vector v part of vector.

MbVector3D	NormalComponent (const MbVector3D &v) const
	Get orthogonal to vector v part of vector.

void	PspDerivative (double, const MbCartPoint3D &)
	Perspective for first derivative is to be considered.

void	PspDerivative2 (double, const MbCartPoint3D &, const MbVector3D &)
	Perspective for second derivative is to be considered.

void	PspDerivative2Mix (double, const MbCartPoint3D &, const MbVector3D &, const MbVector3D &)
	Perspective for second order mixed derivative is to be considered.

void	PspDerivative3 (double, const MbCartPoint3D &, const MbVector3D &, const MbVector3D &)
	Perspective for third derivative is to be considered.

void	PspDerivative3Mix (double, const MbCartPoint3D &, const MbVector3D &, const MbVector3D &, const MbVector3D &, const MbVector3D &)
	Perspective for third order mixed derivative is to be considered.

void	PspNormal (double, const MbCartPoint3D &)
	Perspective for normal is to be considered.

void	PspNormalDerivative (double, const MbCartPoint3D &, const MbVector3D &, const MbVector3D &)
	Perspective for derivative of normal is to be considered.

bool	operator== (const MbVector3D &) const
	Check for equality.

bool	operator!= (const MbVector3D &) const
	Check for inequality.

MbVector3D	operator+ (const MbVector3D &) const
	Sum up two vectors.

MbVector3D	operator- (const MbVector3D &) const
	Find the difference of vectors.

MbVector3D	operator+ (const MbCartPoint3D &) const
	Sum up vector and point.

MbVector3D	operator- (const MbCartPoint3D &) const
	Subtract point from vector.

MbVector3D	operator- () const
	Unary minus.

MbVector3D &	operator+= (const MbVector3D &)
	Sum up two vectors.

MbVector3D &	operator-= (const MbVector3D &)
	Subtract point from vector.

MbVector3D &	operator*= (double)
	Multiply vector by number.

MbVector3D &	operator/= (double)
	Divide vector by number.

double	operator* (const MbVector3D &) const
	Calculate dot product of two vectors.

MbVector3D	operator\| (const MbVector3D &) const
	Calculate vector product of two vectors.

MbMatrix3D	operator& (const MbVector3D &) const
	Calculate direct product of two vectors.

MbVector3D	operator* (const MbMatrix3D &) const
	Calculate the vector as this copy transformed by the matrix.

MbVector3D &	operator= (const MbCartPoint3D &)
	Assign point coordinate values to vector.

MbVector3D &	operator= (const MbHomogeneous3D &)
	Assign uniform point coordinate values to vector.

MbVector3D &	operator= (const MbFloatVector3D &)
	Assign coordinates of another vector to the vector.

MbVector3D &	operator= (const MbVector3D &)
	Assign the value of another vector to the vector.

double &	operator[] (size_t i)
	Access to coordinate by an index.

double	operator[] (size_t i) const
	Get coordinate value by an index.

void	Set (const MbVector3D &v1, double t1)
	Equate vector with vector v1 multiplied by t1.

void	Set (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2)
	Equate vector with sum of vectors v1 and v2 multiplied with t1 and t2 correspondingly.

void	Set (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2, const MbVector3D &v3, double t3)
	Equate vector with sum of vectors v1, v2 and v3 multiplied with t1, t2 and t3 correspondingly.

void	Set (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2, const MbVector3D &v3, double t3, const MbVector3D &v4, double t4)
	Equate vector with sum of vectors v1, v2, v3 and v4 multiplied with t1, t2, t3 and t4 correspondingly.

void	Set (const MbCartPoint3D &v1, double t1)
	Equate coordinates of vector with coordinates of point v1 multiplied by t1.

void	Set (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2)
	Equate vector coordinates with sum of points v1 and v2 multiplied with t1 and t2 correspondingly.

void	Set (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2, const MbCartPoint3D &v3, double t3)
	Equate vector coordinates with coordinates of sum of vectors v1, v2 and v3 multiplied with t1, t2 and t3 correspondingly.

void	Set (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2, const MbCartPoint3D &v3, double t3, const MbCartPoint3D &v4, double t4)
	Equate vector coordinates with coordinates of sum of points v1, v2, v3 and v4 multiplied with t1, t2, t3 and t4 correspondingly.

void	Add (const MbVector3D &v1, double t1)
	Add vector v1 multiplied by t1 to a vector.

void	Add (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2)
	Add sum of vectors v1 and v2 multiplied with t1 and t2 correspondingly to a vector.

void	Add (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2, const MbVector3D &v3, double t3)
	Add sum of vectors v1, v2 and v3 multiplied with t1, t2 and t3 correspondingly to a vector.

void	Add (const MbVector3D &v1, double t1, const MbVector3D &v2, double t2, const MbVector3D &v3, double t3, const MbVector3D &v4, double t4)
	Add sum of vectors v1, v2, v3 and v4 multiplied with t1, t2, t3 and t4 correspondingly to a vector.

void	Add (const MbCartPoint3D &v1, double t1)
	Add coordinates of point v1 multiplied by t1 to coordinates of vector.

void	Add (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2)
	Add sum of coordinates of points v1 and v2 multiplied with t1 and t2 correspondingly to coordinates of vector.

void	Add (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2, const MbCartPoint3D &v3, double t3)
	Add sum of coordinates of points v1, v2 and v3 multiplied with t1, t2 and t3 correspondingly to coordinates of vector.

void	Add (const MbCartPoint3D &v1, double t1, const MbCartPoint3D &v2, double t2, const MbCartPoint3D &v3, double t3, const MbCartPoint3D &v4, double t4)
	Add sum of coordinates of points v1, v2, v3 and v4 multiplied with t1, t2, t3 and t4 correspondingly to coordinates of vector.

void	SetVecM (const MbVector3D &vF, const MbVector3D &vS)
	Set vector product of two given vectors.

void	SetVecM (const MbVector3D &vF, const MbVector3D &vS, double mulKoef)
	Set vector product of two given vectors multiplied by mulKoef.

void	AddVecM (const MbVector3D &vF, const MbVector3D &vS)
	Add vector product of two given vectors to vector.

void	AddVecM (const MbVector3D &vF, const MbVector3D &vS, double mulKoef)
	Add vector product of two given vectors multiplied by mulKoef to vector.

double	MaxFactor () const
	Find the largest absolute value of a vector.

void	Scale (double sx, double sy, double sz)
	Scale components.

void	Scale (double s)
	Scale components.

bool	SetRoundedValue (bool total, double eps)
	Round components of vector.

void	GetProperties (MbProperties &)
	Get properties of the object.

void	SetProperties (const MbProperties &)
	Set properties of the object.

bool	IsSame (const MbVector3D &other, double accuracy) const
	Are the objects equal? More...

Static Public Member Functions
static size_t	GetDimension ()
	Get point coordinates count.

Public Attributes
double	x
	First component of vector.

double	y
	Second component of vector.

double	z
	Third component of vector.

Static Public Attributes
static const MbVector3D	zero
	Zero vector.

static const MbVector3D	xAxis
	"X" vector of standard basis.

static const MbVector3D	yAxis
	"Y" vector of standard basis.

static const MbVector3D	zAxis
	"Z" vector of standard basis.

Detailed Description

Vector in three-dimensional space.

Vector describes translation or direction in three-dimensional space and is defined by three coordinates x, y, z in the Cartesian coordinate system.
Vector is not binded to space points and therefore has not method for translating it in space.

Member Function Documentation

◆ IsSame()

bool MbVector3D::IsSame	(	const MbVector3D &	other,
		double	accuracy
	)		const

inline

Are the objects equal?

The objects are equal if their data are equal with a given accuracy.

Parameters

[in]	other	- The object to compare.
[in]	accuracy	- The accuracy to compare.

Returns: Whether the objects are equal.

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

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

Member Function Documentation

◆ IsSame()