Defines a non-persistent vector in 2D space.
More...

#include <Vec2d.h>

Public Member Functions
	Vec2d ()
	Creates an indefinite vector. More...

	Vec2d (const Dir2d &V)
	Creates a unitary vector from a direction V. More...

	Vec2d (const XY &Coord)
	Creates a vector with a doublet of coordinates. More...

	Vec2d (const double Xv, const double Yv)
	Creates a point with its two cartesian coordinates. More...

	Vec2d (const Pnt2d &P1, const Pnt2d &P2)

void	add (const Vec2d &Other)

Vec2d	added (const Vec2d &Other) const
	Adds two vectors More...

double	angle (const Vec2d &Other) const

double	coord (const int Index) const

void	coord (double &Xv, double &Yv) const
	For this vector, returns its two coordinates Xv and Yv More...

double	crossed (const Vec2d &Right) const
	Computes the crossing product between two vectors More...

double	crossMagnitude (const Vec2d &Right) const

double	crossSquareMagnitude (const Vec2d &Right) const

void	divide (const double Scalar)

Vec2d	divided (const double Scalar) const
	divides a vector by a scalar More...

double	dot (const Vec2d &Other) const
	Computes the scalar product More...

bool	isEqual (const Vec2d &Other, const double LinearTolerance, const double AngularTolerance) const

bool	isNormal (const Vec2d &Other, const double AngularTolerance) const
	Returns True if abs(abs(<me>.angle(Other)) - PI/2.) <= AngularTolerance More...

bool	isOpposite (const Vec2d &Other, const double AngularTolerance) const
	Returns True if PI - abs(<me>.angle(Other)) <= AngularTolerance More...

bool	isParallel (const Vec2d &Other, const double AngularTolerance) const

double	magnitude () const
	Computes the magnitude of this vector. More...

double	squareMagnitude () const
	Computes the square magnitude of this vector. More...

void	operator+= (const Vec2d &Other)

Vec2d	operator+ (const Vec2d &Other) const

void	operator-= (const Vec2d &Right)

Vec2d	operator- () const

Vec2d	operator- (const Vec2d &Right) const

void	operator*= (const double Scalar)

double	operator* (const Vec2d &Other) const

Vec2d	operator* (const double Scalar) const

void	operator/= (const double Scalar)

Vec2d	operator/ (const double Scalar) const

double	operator^ (const Vec2d &Right) const

void	multiply (const double Scalar)

Vec2d	multiplied (const double Scalar) const

void	mirror (const Vec2d &V)

void	mirror (const Ax2d &A1)

Vec2d	mirrored (const Ax2d &A1) const

Vec2d	mirrored (const Vec2d &V) const

void	normalize ()

Vec2d	normalized () const

void	reverse ()

Vec2d	reversed () const
	Reverses the direction of a vector //! Subtracts two vectors More...

void	rotate (const double Ang)

Vec2d	rotated (const double Ang) const

void	scale (const double S)

Vec2d	scaled (const double S) const
	Scales a vector. S is the scaling value. More...

void	setCoord (const int Index, const double Xi)

void	setCoord (const double Xv, const double Yv)

void	setLinearForm (const double A1, const Vec2d &V1, const double A2, const Vec2d &V2, const Vec2d &V3)

void	setLinearForm (const double A1, const Vec2d &V1, const double A2, const Vec2d &V2)
	<me> is setted to the following linear form : A1 * V1 + A2 * V2 More...

void	setLinearForm (const double A1, const Vec2d &V1, const Vec2d &V2)
	<me> is setted to the following linear form : A1 * V1 + V2 More...

void	setLinearForm (const Vec2d &Left, const Vec2d &Right)

void	setX (const double X)
	Assigns the given value to the X coordinate of this vector. More...

void	setXY (const XY &Coord)
	Assigns the two coordinates of Coord to this vector. More...

void	setY (const double Y)
	Assigns the given value to the Y coordinate of this vector. More...

void	subtract (const Vec2d &Right)

Vec2d	subtracted (const Vec2d &Right) const
	Subtracts two vectors More...

void	transform (const Trsf2d &T)

Vec2d	transformed (const Trsf2d &T) const

double	x () const
	For this vector, returns its X coordinate. More...

const XY &	xy () const
	For this vector, returns its two coordinates as a number pair More...

double	y () const
	For this vector, returns its Y coordinate. More...

Detailed Description

Defines a non-persistent vector in 2D space.

Constructor & Destructor Documentation

◆ Vec2d() [1/5]

Geom::Vec2d::Vec2d ( )

Creates an indefinite vector.

◆ Vec2d() [2/5]

Geom::Vec2d::Vec2d ( const Dir2d & V )

Creates a unitary vector from a direction V.

◆ Vec2d() [3/5]

Geom::Vec2d::Vec2d ( const XY & Coord )

Creates a vector with a doublet of coordinates.

◆ Vec2d() [4/5]

Geom::Vec2d::Vec2d	(	const double	Xv,
		const double	Yv
	)

Creates a point with its two cartesian coordinates.

◆ Vec2d() [5/5]

Geom::Vec2d::Vec2d	(	const Pnt2d &	P1,
		const Pnt2d &	P2
	)

Creates a vector from two points. The length of the vector
is the distance between P1 and P2

Member Function Documentation

◆ add()

void Geom::Vec2d::add ( const Vec2d & Other )

◆ added()

Vec2d Geom::Vec2d::added ( const Vec2d & Other ) const

Adds two vectors

◆ angle()

double Geom::Vec2d::angle ( const Vec2d & Other ) const

Computes the angular value between <me> and <Other>
returns the angle value between -PI and PI in radian.
The orientation is from <me> to Other. The positive sense is the
trigonometric sense.

◆ coord() [1/2]

double Geom::Vec2d::coord ( const int Index ) const

Returns the coordinate of range Index :
Index = 1 => X is returned
Index = 2 => Y is returned
//! Raised if Index != {1, 2}.

◆ coord() [2/2]

void Geom::Vec2d::coord	(	double &	Xv,
		double &	Yv
	)		const

For this vector, returns its two coordinates Xv and Yv

◆ crossed()

double Geom::Vec2d::crossed ( const Vec2d & Right ) const

Computes the crossing product between two vectors

◆ crossMagnitude()

double Geom::Vec2d::crossMagnitude ( const Vec2d & Right ) const

Computes the magnitude of the cross product between <me> and
Right. Returns || <me> ^ Right ||

◆ crossSquareMagnitude()

double Geom::Vec2d::crossSquareMagnitude ( const Vec2d & Right ) const

Computes the square magnitude of the cross product between <me> and
Right. Returns || <me> ^ Right ||**2

◆ divide()

void Geom::Vec2d::divide ( const double Scalar )

◆ divided()

Vec2d Geom::Vec2d::divided ( const double Scalar ) const

divides a vector by a scalar

◆ dot()

double Geom::Vec2d::dot ( const Vec2d & Other ) const

Computes the scalar product

◆ isEqual()

bool Geom::Vec2d::isEqual	(	const Vec2d &	Other,
		const double	LinearTolerance,
		const double	AngularTolerance
	)		const

Returns True if the two vectors have the same magnitude value
and the same direction. The precision values are LinearTolerance
for the magnitude and AngularTolerance for the direction.

◆ isNormal()

bool Geom::Vec2d::isNormal	(	const Vec2d &	Other,
		const double	AngularTolerance
	)		const

Returns True if abs(abs(<me>.angle(Other)) - PI/2.) <= AngularTolerance

◆ isOpposite()

bool Geom::Vec2d::isOpposite	(	const Vec2d &	Other,
		const double	AngularTolerance
	)		const

Returns True if PI - abs(<me>.angle(Other)) <= AngularTolerance

◆ isParallel()

bool Geom::Vec2d::isParallel	(	const Vec2d &	Other,
		const double	AngularTolerance
	)		const

Returns true if abs(angle(<me>, Other)) <= AngularTolerance or
PI - abs(angle(<me>, Other)) <= AngularTolerance
Two vectors with opposite directions are considered as parallel.

◆ magnitude()

double Geom::Vec2d::magnitude ( ) const

Computes the magnitude of this vector.

◆ mirror() [1/2]

void Geom::Vec2d::mirror ( const Ax2d & A1 )

◆ mirror() [2/2]

void Geom::Vec2d::mirror ( const Vec2d & V )

◆ mirrored() [1/2]

Vec2d Geom::Vec2d::mirrored ( const Ax2d & A1 ) const

◆ mirrored() [2/2]

Vec2d Geom::Vec2d::mirrored ( const Vec2d & V ) const

Performs the symmetrical transformation of a vector
with respect to the vector V which is the center of
the symmetry.
Performs the symmetrical transformation of a vector
with respect to an axis placement which is the axis
of the symmetry.

◆ multiplied()

Vec2d Geom::Vec2d::multiplied ( const double Scalar ) const

Normalizes a vector
Raises an exception if the magnitude of the vector is
lower or equal to Resolution from package gp.

◆ multiply()

void Geom::Vec2d::multiply ( const double Scalar )

◆ normalize()

void Geom::Vec2d::normalize ( )

◆ normalized()

Vec2d Geom::Vec2d::normalized ( ) const

Normalizes a vector
Raises an exception if the magnitude of the vector is
lower or equal to Resolution from package gp.
//! Reverses the direction of a vector

◆ operator*() [1/2]

Vec2d Geom::Vec2d::operator* ( const double Scalar ) const

inline

◆ operator*() [2/2]

double Geom::Vec2d::operator* ( const Vec2d & Other ) const

inline

◆ operator*=()

void Geom::Vec2d::operator*= ( const double Scalar )

inline

◆ operator+()

Vec2d Geom::Vec2d::operator+ ( const Vec2d & Other ) const

inline

◆ operator+=()

void Geom::Vec2d::operator+= ( const Vec2d & Other )

inline

◆ operator-() [1/2]

Vec2d Geom::Vec2d::operator- ( ) const

inline

◆ operator-() [2/2]

Vec2d Geom::Vec2d::operator- ( const Vec2d & Right ) const

inline

◆ operator-=()

void Geom::Vec2d::operator-= ( const Vec2d & Right )

inline

◆ operator/()

Vec2d Geom::Vec2d::operator/ ( const double Scalar ) const

inline

◆ operator/=()

void Geom::Vec2d::operator/= ( const double Scalar )

inline

◆ operator^()

double Geom::Vec2d::operator^ ( const Vec2d & Right ) const

inline

◆ reverse()

void Geom::Vec2d::reverse ( )

◆ reversed()

Vec2d Geom::Vec2d::reversed ( ) const

Reverses the direction of a vector
//! Subtracts two vectors

◆ rotate()

void Geom::Vec2d::rotate ( const double Ang )

◆ rotated()

Vec2d Geom::Vec2d::rotated ( const double Ang ) const

Rotates a vector. Ang is the angular value of the
rotation in radians.

◆ scale()

void Geom::Vec2d::scale ( const double S )

◆ scaled()

Vec2d Geom::Vec2d::scaled ( const double S ) const

Scales a vector. S is the scaling value.

◆ setCoord() [1/2]

void Geom::Vec2d::setCoord	(	const double	Xv,
		const double	Yv
	)

For this vector, assigns
the values Xv and Yv to its two coordinates

◆ setCoord() [2/2]

void Geom::Vec2d::setCoord	(	const int	Index,
		const double	Xi
	)

Changes the coordinate of range Index
Index = 1 => X is modified
Index = 2 => Y is modified
Raises OutOfRange if Index != {1, 2}.

◆ setLinearForm() [1/4]

void Geom::Vec2d::setLinearForm	(	const double	A1,
		const Vec2d &	V1,
		const double	A2,
		const Vec2d &	V2
	)

<me> is setted to the following linear form : A1 * V1 + A2 * V2

◆ setLinearForm() [2/4]

void Geom::Vec2d::setLinearForm	(	const double	A1,
		const Vec2d &	V1,
		const double	A2,
		const Vec2d &	V2,
		const Vec2d &	V3
	)

<me> is setted to the following linear form :
A1 * V1 + A2 * V2 + V3

◆ setLinearForm() [3/4]

void Geom::Vec2d::setLinearForm	(	const double	A1,
		const Vec2d &	V1,
		const Vec2d &	V2
	)

<me> is setted to the following linear form : A1 * V1 + V2

◆ setLinearForm() [4/4]

void Geom::Vec2d::setLinearForm	(	const Vec2d &	Left,
		const Vec2d &	Right
	)

<me> is setted to the following linear form : Left + Right
Performs the symmetrical transformation of a vector
with respect to the vector V which is the center of
the symmetry.

◆ setX()

void Geom::Vec2d::setX ( const double X )

Assigns the given value to the X coordinate of this vector.

◆ setXY()

void Geom::Vec2d::setXY ( const XY & Coord )

Assigns the two coordinates of Coord to this vector.

◆ setY()

void Geom::Vec2d::setY ( const double Y )

Assigns the given value to the Y coordinate of this vector.

◆ squareMagnitude()

double Geom::Vec2d::squareMagnitude ( ) const

Computes the square magnitude of this vector.

◆ subtract()

void Geom::Vec2d::subtract ( const Vec2d & Right )

◆ subtracted()

Vec2d Geom::Vec2d::subtracted ( const Vec2d & Right ) const

Subtracts two vectors

◆ transform()

void Geom::Vec2d::transform ( const Trsf2d & T )

◆ transformed()

Vec2d Geom::Vec2d::transformed ( const Trsf2d & T ) const

◆ x()

double Geom::Vec2d::x ( ) const

For this vector, returns its X coordinate.

◆ xy()

const XY& Geom::Vec2d::xy ( ) const

For this vector, returns its two coordinates as a number pair

◆ y()

double Geom::Vec2d::y ( ) const

For this vector, returns its Y coordinate.

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

D:/CadworkJobs/SoftwareProjekte/Lexocad/LexoGit/Lexocad/lexocad/Geom/include/Geom/Vec2d.h

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Vec2d() [1/5]

◆ Vec2d() [2/5]

◆ Vec2d() [3/5]

◆ Vec2d() [4/5]

◆ Vec2d() [5/5]

Member Function Documentation

◆ add()

◆ added()

◆ angle()

◆ coord() [1/2]

◆ coord() [2/2]

◆ crossed()

◆ crossMagnitude()

◆ crossSquareMagnitude()

◆ divide()

◆ divided()

◆ dot()

◆ isEqual()

◆ isNormal()

◆ isOpposite()

◆ isParallel()

◆ magnitude()

◆ mirror() [1/2]

◆ mirror() [2/2]

◆ mirrored() [1/2]

◆ mirrored() [2/2]

◆ multiplied()

◆ multiply()

◆ normalize()

◆ normalized()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator^()

◆ reverse()

◆ reversed()

◆ rotate()

◆ rotated()

◆ scale()

◆ scaled()

◆ setCoord() [1/2]

◆ setCoord() [2/2]

◆ setLinearForm() [1/4]

◆ setLinearForm() [2/4]

◆ setLinearForm() [3/4]

◆ setLinearForm() [4/4]

◆ setX()

◆ setXY()

◆ setY()

◆ squareMagnitude()

◆ subtract()

◆ subtracted()

◆ transform()

◆ transformed()

◆ x()

◆ xy()

◆ y()