Local coordinate system in two dimensional space. More...

#include <mb_placement.h>

Public Member Functions
	MbPlacement ()
	Default constructor.

	MbPlacement (const MbCartPoint &, const MbDirection &, bool l=false)
	Constructor by point and normalized direction vector.

	MbPlacement (const MbCartPoint &, const MbVector &, const MbVector &)
	Constructor by point and two vectors.

	MbPlacement (const MbCartPoint &, bool, bool)
	Constructor by point and signs of X-axis and Y-axis directions.

	MbPlacement (const MbCartPoint &, double angle, bool l=false)
	Constructor by point and angle.

	MbPlacement (double x, double y, double angle)
	Constructor by angle and coordinates of local coordinate system origin.

	MbPlacement (const MbCartPoint &p1, const MbCartPoint &p2)
	Constructor by two points.

	MbPlacement (const MbPlacement &)
	Copy-constructor.

	MbPlacement (const MbMatrix &matr)
	Constructor by matrix.

	~MbPlacement ()
	The destructor.

void	Init ()
	Make coincident with global coordinate system.

void	Init (const MbPlacement &init)
	Initialize by given local coordinate system.

void	Init (const MbCartPoint &initOrigin, const MbDirection &initDir, bool l=false)
	Initialize by a point and direction vector.

void	Init (const MbCartPoint &initOrigin, double angle, bool l=false)
	Initialize by a point and an angle.

void	Init (const MbCartPoint &, const MbVector &, const MbVector &)
	Initialize by a point and two vectors.

const MbCartPoint &	GetOrigin () const
	Get the origin of local coordinate system.

const MbVector &	GetAxisX () const
	Get the X-axis.

const MbVector &	GetAxisY () const
	Get the Y-axis.

void	GetOrigin (MbCartPoint &pc) const
	Get the origin of local coordinate system.

void	GetPointAndDerivesFrom (MbCartPoint &point, MbVector &firstDer, MbVector &secondDer, MbVector &thirdDer, MbeLocalSystemType type=ls_CartesSystem) const
	Transform a point and the first three derivatives from a local coordinate system to the global coordinate system.

MbCartPoint &	SetOrigin ()
	Get the origin of local coordinate system.

MbVector &	SetAxisX ()
	Get the X-axis.

MbVector &	SetAxisY ()
	Get the Y-axis.

void	SetOrigin (const MbCartPoint &p)
	Set the origin of local coordinate system.

void	SetAxisX (const MbDirection &v)
	Set the X-axis.

void	SetAxisY (const MbDirection &v)
	Set the Y-axis.

void	SetAxisX (const MbVector &v)
	Set the X-axis.

void	SetAxisY (const MbVector &v)
	Set the Y-axis.

void	GetMatrixInto (MbMatrix &m) const
	Get the matrix of transformation to the local coordinate system: r=R*into (inverse matrix).

void	GetMatrixFrom (MbMatrix &m) const
	Get the matrix of transformation from the local coordinate system: R=r*from (direct matrix).

void	Move (const MbVector &)
	Translate along a vector.

void	Move (double dx, double dy)
	Translate by given increments.

void	Rotate (const MbCartPoint &pnt, double angle)
	Rotate at angle around a point.

void	Rotate (const MbCartPoint &pnt, const MbDirection &angle)
	Rotate around a point at the angle given by direction vector.

void	Transform (const MbMatrix &matr)
	Transform according to the matrix.

void	Calculate (const MbCartPoint &from, const MbCartPoint &to)
	Calculate the coordinate system by the start point and the end point.

void	Reset ()
	Recalculate the coordinate system by changed internal data. More...

bool	IsSame (const MbPlacement &other, double accuracy) const
	Determine whether an object is equal?

void	InvertAxisX ()
	Invert the 0X-axis.

void	InvertAxisY ()
	Invert the 0Y-axis.

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

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

void	operator= (const MbPlacement &)
	Assign another coordinate system.

MbPlacement	operator* (const MbPlacement &p) const
	Multiply by a local coordinate system: P = this * p (as of matrix multiplication).

void	TransformInto (MbCartPoint &) const
	Transform point from the global coordinate system to a local coordinate system.

void	TransformFrom (MbCartPoint &) const
	Transform point from a local coordinate system to the global coordinate system.

void	TransformInto (MbVector &) const
	Transform a vector from the global coordinate system to a local coordinate system.

void	TransformFrom (MbVector &) const
	Transform a vector from a local coordinate system to the global coordinate system.

void	Normalize ()
	Normalize.

bool	IsSingle () const
	Property of coincidence with global coordinate system.

bool	IsTranslation () const
	Check if a coordinate system is translated relative to the global coordinate system.

bool	IsRotation () const
	Check if the coordinate system is rotated relative to the global coordinate system.

bool	IsLeft () const
	Get attribute of left placement.

bool	IsOrt () const
	Check if a coordinate system is orthogonal, but not normalized.

bool	IsOrthogonal () const
	Check orthogonality of a coordinate system.

bool	IsAffine () const
	Check if a coordinate system is affine (otherwise it is orthonormalized).

bool	IsNormal () const
	Check if a coordinate system is orthonormalized.

bool	IsUnSet () const
	Check whether bit flags are not set.

bool	CheckLeft ()
	Calculate and return attribute of left placement.

bool	IsCardinalPoint (double eps=Math::AngleEps) const
	Check orthogonality.

bool	IsCardinalStrict (double eps) const
	Check if parallel to 0X-axis or 0Y-axis.

bool	IsTranslationStandard () const
	Check if axes of coordinate system are coincident to a standard one (right orthonormalized coordinate system).

bool	IsCircular () const
	Check if a coordinate system is orthogonal with axes X and Y of equal length (circle moves to circle).

bool	IsCircular (double &lxy) const
	Check if a coordinate system is orthogonal with axes X and Y of equal length (circle moves to circle).

bool	IsIsotropic () const
	Check if a coordinate system is orthogonal with axes X and Y of equal length (circle moves to circle).

bool	IsIsotropic (double &lxy) const
	Check if a coordinate system is orthogonal with axes X and Y of equal length (circle moves to circle).

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

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

Detailed Description

Local coordinate system in two dimensional space.

Local coordinate system in two dimensional space.
Local coordinate system is described by the initial point and two non-parallel vectors. In most cases the system of coordinates is right, and vectors of system are orthonormalized. A coordinate system can become left and not orthonormalized via transformations. Local coordinate system is Cartesian, Point in the Cartesian coordinate system is defined by two coordinates x, y.

Member Function Documentation

◆ Reset()

void MbPlacement::Reset ( )

Recalculate the coordinate system by changed internal data.

Scale the local coordinate system.

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

mb_placement.h

Public Member Functions

Detailed Description

Member Function Documentation

◆ Reset()