Two-dimensional vector. More...

#include <mb_vector.h>

Collaboration diagram for MbVector:

Public Member Functions
	MbVector ()
	Default constructor.

	MbVector (double xx, double yy)
	The constructor by coordinates.

	MbVector (const MbVector &dir)
	Copy constructor.

	MbVector (const MbCartPoint &p1, const MbCartPoint &p2)
	The constructor by two points.

	MbVector (const MbCartPoint &p)
	Constructor by point.

	MbVector (double a)
	Constructor by angle.

	MbVector (const MbDirection &dir)
	Constructor by unit vector of direction.

MbVector &	Init (const MbCartPoint &p1, const MbCartPoint &p2)
	Initialize by given points.

MbVector &	Init (double xx, double yy)
	Initialize by given coordinates.

template<class Vector >
MbVector &	Init (const Vector &v)
	Initialize by given vector.

MbVector &	SetZero ()
	Set vector coordinates to zero.

bool	operator== (const MbVector &with) const
	Check for equality.

bool	Equal (const MbVector &with) const
	Check for equality.

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

double	Length () const
	Calculate vector length.

double	Length2 () const
	Calculate vector length square.

bool	Normalize ()
	Normalize a vector.

MbVector	GetNormalized () const
	Return normalized copy of vector.

MbVector &	Rotate (double angle)
	Rotate vector by an angle 'angle'.

MbVector &	Rotate (const MbDirection &angle)
	Rotate vector by an angle that defined by direction.

MbVector &	Transform (const MbMatrix &matr)
	Transform according to matrix 'matr'.

double	DirectionAngle () const
	Calculate an angle by normalized vector.

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

MbVector	operator+ (const MbCartPoint &) const
	Sum up vector and point.

MbVector	operator- (const MbVector &) const
	Subtract vector from vector.

MbVector	operator- (const MbCartPoint &) const
	Subtract point from vector.

MbVector	operator- () const
	Unary minus.

MbVector	operator* (double factor) const
	Multiply vector by number.

MbVector	operator/ (double factor) const
	Divide vector by number.

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

MbVector &	operator-= (const MbVector &)
	Subtract vector from vector.

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

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

double	operator* (const MbVector &) const
	Scalar product of two vectors.

double	operator* (const MbDirection &) const
	Scalar product of two vectors.

double	operator\| (const MbVector &) const
	Vector product of two vectors.

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

MbVector &	Perpendicular ()
	Makes a vector orthogonal to itself, namely sets the vector (-y, x).

MbVector	operator~ () const
	Returns a vector orthogonal to this vector, namely the vector (-y, x).

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

MbVector &	operator= (const MbCartPoint &)
	Assign point coordinate values to vector.

MbVector &	operator= (const MbHomogeneous &)
	Assign uniform point coordinate values to vector.

MbVector &	operator= (const MbDirection &)
	Assign normalized vector values to vector.

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

double	operator[] (size_t i) const
	The value of a coordinate by an index.

int	Relative (const MbVector &) const
	Give vector location relative to current vector.

bool	IsZero (double eps) const
	Check if vector is zero.

bool	IsDegenerate (double lenEps=Math::LengthEps) const
	Check for degeneracy.

bool	IsNormalized (double eps=LENGTH_EPSILON) const
	Check if vector is normalized.

bool	RoundColinear (const MbVector &with, double eps=Math::paramNear) const
	Check colinearity by dot product.

bool	Colinear (const MbVector &with, double eps=Math::AngleEps) const
	Check colinearity.

bool	Orthogonal (const MbVector &with, double eps=Math::AngleEps) const
	Check orthogonality.

bool	operator\|\| (const MbVector &with) const
	Check colinearity.

void	Invert ()
	Change vector direction to opposite.

void	Scale (double sx, double sy)
	Scale components of vector.

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

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

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

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

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

void	Set (const MbCartPoint &v1, double t1, const MbCartPoint &v2, double t2, const MbCartPoint &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 MbCartPoint &v1, double t1, const MbCartPoint &v2, double t2, const MbCartPoint &v3, double t3, const MbCartPoint &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 MbVector &v1, double t1)
	Add vector v1 multiplied by t1 to a vector.

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

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

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

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

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

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

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

Static Public Member Functions
static size_t	GetDimension ()
	The number of point coordinates.

Public Attributes
double	x
	First component of vector.

double	y
	Second component of vector.

Static Public Attributes
static const MbVector	zero
	Zero vector.

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

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

Detailed Description

Two-dimensional vector.

Two-dimensional vector. Defined algebraic and geometric operations for vector and number, point or another vector.

Member Function Documentation

◆ IsSame()

bool MbVector::IsSame	(	const MbVector &	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()