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

#include <gp_Vec2d.hxx>

Public Member Functions
	gp_Vec2d ()
	Creates a zero vector. More...

	gp_Vec2d (const gp_Dir2d &V)
	Creates a unitary vector from a direction V. More...

	gp_Vec2d (const gp_XY &Coord)
	Creates a vector with a doublet of coordinates. More...

	gp_Vec2d (const Standard_Real Xv, const Standard_Real Yv)
	Creates a point with its two Cartesian coordinates. More...

	gp_Vec2d (const gp_Pnt2d &P1, const gp_Pnt2d &P2)
	Creates a vector from two points. The length of the vector is the distance between P1 and P2. More...

void	SetCoord (const Standard_Integer Index, const Standard_Real Xi)
	Changes the coordinate of range Index Index = 1 => X is modified Index = 2 => Y is modified Raises OutOfRange if Index != {1, 2}. More...

void	SetCoord (const Standard_Real Xv, const Standard_Real Yv)
	For this vector, assigns the values Xv and Yv to its two coordinates. More...

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

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

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

Standard_Real	Coord (const Standard_Integer Index) const
	Returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Raised if Index != {1, 2}. More...

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

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

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

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

Standard_Boolean	IsEqual (const gp_Vec2d &Other, const Standard_Real LinearTolerance, const Standard_Real 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. More...

Standard_Boolean	IsNormal (const gp_Vec2d &Other, const Standard_Real AngularTolerance) const
	Returns True if abs(Abs(<me>.Angle(Other)) - PI/2.) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...

Standard_Boolean	IsOpposite (const gp_Vec2d &Other, const Standard_Real AngularTolerance) const
	Returns True if PI - Abs(<me>.Angle(Other)) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...

Standard_Boolean	IsParallel (const gp_Vec2d &Other, const Standard_Real 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. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp. More...

Standard_Real	Angle (const gp_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. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or Other.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude. More...

Standard_Real	Magnitude () const
	Computes the magnitude of this vector. More...

Standard_Real	SquareMagnitude () const
	Computes the square magnitude of this vector. More...

void	Add (const gp_Vec2d &Other)

void	operator+= (const gp_Vec2d &Other)

gp_Vec2d	Added (const gp_Vec2d &Other) const
	Adds two vectors. More...

gp_Vec2d	operator+ (const gp_Vec2d &Other) const

Standard_Real	Crossed (const gp_Vec2d &Right) const
	Computes the crossing product between two vectors. More...

Standard_Real	operator^ (const gp_Vec2d &Right) const

Standard_Real	CrossMagnitude (const gp_Vec2d &Right) const
	Computes the magnitude of the cross product between <me> and Right. Returns \|\| <me> ^ Right \|\|. More...

Standard_Real	CrossSquareMagnitude (const gp_Vec2d &Right) const
	Computes the square magnitude of the cross product between <me> and Right. Returns \|\| <me> ^ Right \|\|**2. More...

void	Divide (const Standard_Real Scalar)

void	operator/= (const Standard_Real Scalar)

gp_Vec2d	Divided (const Standard_Real Scalar) const
	divides a vector by a scalar More...

gp_Vec2d	operator/ (const Standard_Real Scalar) const

Standard_Real	Dot (const gp_Vec2d &Other) const
	Computes the scalar product. More...

Standard_Real	operator* (const gp_Vec2d &Other) const

gp_Vec2d	GetNormal () const

void	Multiply (const Standard_Real Scalar)

void	operator*= (const Standard_Real Scalar)

gp_Vec2d	Multiplied (const Standard_Real Scalar) const
	Normalizes a vector Raises an exception if the magnitude of the vector is lower or equal to Resolution from package gp. More...

gp_Vec2d	operator* (const Standard_Real Scalar) const

void	Normalize ()

gp_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. More...

void	Reverse ()

gp_Vec2d	Reversed () const
	Reverses the direction of a vector. More...

gp_Vec2d	operator- () const

void	Subtract (const gp_Vec2d &Right)
	Subtracts two vectors. More...

void	operator-= (const gp_Vec2d &Right)

gp_Vec2d	Subtracted (const gp_Vec2d &Right) const
	Subtracts two vectors. More...

gp_Vec2d	operator- (const gp_Vec2d &Right) const

void	SetLinearForm (const Standard_Real A1, const gp_Vec2d &V1, const Standard_Real A2, const gp_Vec2d &V2, const gp_Vec2d &V3)
	<me> is set to the following linear form : A1 * V1 + A2 * V2 + V3 More...

void	SetLinearForm (const Standard_Real A1, const gp_Vec2d &V1, const Standard_Real A2, const gp_Vec2d &V2)
	<me> is set to the following linear form : A1 * V1 + A2 * V2 More...

void	SetLinearForm (const Standard_Real A1, const gp_Vec2d &V1, const gp_Vec2d &V2)
	<me> is set to the following linear form : A1 * V1 + V2 More...

void	SetLinearForm (const gp_Vec2d &Left, const gp_Vec2d &Right)
	<me> is set to the following linear form : Left + Right More...

void	Mirror (const gp_Vec2d &V)
	Performs the symmetrical transformation of a vector with respect to the vector V which is the center of the symmetry. More...

gp_Vec2d	Mirrored (const gp_Vec2d &V) const
	Performs the symmetrical transformation of a vector with respect to the vector V which is the center of the symmetry. More...

void	Mirror (const gp_Ax2d &A1)
	Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry. More...

gp_Vec2d	Mirrored (const gp_Ax2d &A1) const
	Performs the symmetrical transformation of a vector with respect to an axis placement which is the axis of the symmetry. More...

void	Rotate (const Standard_Real Ang)

gp_Vec2d	Rotated (const Standard_Real Ang) const
	Rotates a vector. Ang is the angular value of the rotation in radians. More...

void	Scale (const Standard_Real S)

gp_Vec2d	Scaled (const Standard_Real S) const
	Scales a vector. S is the scaling value. More...

void	Transform (const gp_Trsf2d &T)

gp_Vec2d	Transformed (const gp_Trsf2d &T) const
	Transforms a vector with a Trsf from gp. More...

Detailed Description

Defines a non-persistent vector in 2D space.

Constructor & Destructor Documentation

◆ gp_Vec2d() [1/5]

gp_Vec2d::gp_Vec2d ( )

Creates a zero vector.

◆ gp_Vec2d() [2/5]

gp_Vec2d::gp_Vec2d ( const gp_Dir2d & V )

Creates a unitary vector from a direction V.

◆ gp_Vec2d() [3/5]

gp_Vec2d::gp_Vec2d ( const gp_XY & Coord )

Creates a vector with a doublet of coordinates.

◆ gp_Vec2d() [4/5]

gp_Vec2d::gp_Vec2d	(	const Standard_Real	Xv,
		const Standard_Real	Yv
	)

Creates a point with its two Cartesian coordinates.

◆ gp_Vec2d() [5/5]

gp_Vec2d::gp_Vec2d	(	const gp_Pnt2d &	P1,
		const gp_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 gp_Vec2d::Add ( const gp_Vec2d & Other )

◆ Added()

gp_Vec2d gp_Vec2d::Added ( const gp_Vec2d & Other ) const

Adds two vectors.

◆ Angle()

Standard_Real gp_Vec2d::Angle ( const gp_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. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or Other.Magnitude() <= Resolution because the angular value is indefinite if one of the vectors has a null magnitude.

◆ Coord() [1/2]

Standard_Real gp_Vec2d::Coord ( const Standard_Integer 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 gp_Vec2d::Coord	(	Standard_Real &	Xv,
		Standard_Real &	Yv
	)		const

For this vector, returns its two coordinates Xv and Yv.

◆ Crossed()

Standard_Real gp_Vec2d::Crossed ( const gp_Vec2d & Right ) const

Computes the crossing product between two vectors.

◆ CrossMagnitude()

Standard_Real gp_Vec2d::CrossMagnitude ( const gp_Vec2d & Right ) const

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

◆ CrossSquareMagnitude()

Standard_Real gp_Vec2d::CrossSquareMagnitude ( const gp_Vec2d & Right ) const

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

◆ Divide()

void gp_Vec2d::Divide ( const Standard_Real Scalar )

◆ Divided()

gp_Vec2d gp_Vec2d::Divided ( const Standard_Real Scalar ) const

divides a vector by a scalar

◆ Dot()

Standard_Real gp_Vec2d::Dot ( const gp_Vec2d & Other ) const

Computes the scalar product.

◆ GetNormal()

gp_Vec2d gp_Vec2d::GetNormal ( ) const

◆ IsEqual()

Standard_Boolean gp_Vec2d::IsEqual	(	const gp_Vec2d &	Other,
		const Standard_Real	LinearTolerance,
		const Standard_Real	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()

Standard_Boolean gp_Vec2d::IsNormal	(	const gp_Vec2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if abs(Abs(<me>.Angle(Other)) - PI/2.) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ IsOpposite()

Standard_Boolean gp_Vec2d::IsOpposite	(	const gp_Vec2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if PI - Abs(<me>.Angle(Other)) <= AngularTolerance Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ IsParallel()

Standard_Boolean gp_Vec2d::IsParallel	(	const gp_Vec2d &	Other,
		const Standard_Real	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. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or Other.Magnitude() <= Resolution from gp.

◆ Magnitude()

Standard_Real gp_Vec2d::Magnitude ( ) const

Computes the magnitude of this vector.

◆ Mirror() [1/2]

void gp_Vec2d::Mirror ( const gp_Vec2d & V )

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

◆ Mirror() [2/2]

void gp_Vec2d::Mirror ( const gp_Ax2d & A1 )

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

◆ Mirrored() [1/2]

gp_Vec2d gp_Vec2d::Mirrored ( const gp_Vec2d & V ) const

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

◆ Mirrored() [2/2]

gp_Vec2d gp_Vec2d::Mirrored ( const gp_Ax2d & A1 ) const

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

◆ Multiplied()

gp_Vec2d gp_Vec2d::Multiplied ( const Standard_Real 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 gp_Vec2d::Multiply ( const Standard_Real Scalar )

◆ Normalize()

void gp_Vec2d::Normalize ( )

◆ Normalized()

gp_Vec2d gp_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]

Standard_Real gp_Vec2d::operator* ( const gp_Vec2d & Other ) const

inline

◆ operator*() [2/2]

gp_Vec2d gp_Vec2d::operator* ( const Standard_Real Scalar ) const

inline

◆ operator*=()

void gp_Vec2d::operator*= ( const Standard_Real Scalar )

inline

◆ operator+()

gp_Vec2d gp_Vec2d::operator+ ( const gp_Vec2d & Other ) const

inline

◆ operator+=()

void gp_Vec2d::operator+= ( const gp_Vec2d & Other )

inline

◆ operator-() [1/2]

gp_Vec2d gp_Vec2d::operator- ( ) const

inline

◆ operator-() [2/2]

gp_Vec2d gp_Vec2d::operator- ( const gp_Vec2d & Right ) const

inline

◆ operator-=()

void gp_Vec2d::operator-= ( const gp_Vec2d & Right )

inline

◆ operator/()

gp_Vec2d gp_Vec2d::operator/ ( const Standard_Real Scalar ) const

inline

◆ operator/=()

void gp_Vec2d::operator/= ( const Standard_Real Scalar )

inline

◆ operator^()

Standard_Real gp_Vec2d::operator^ ( const gp_Vec2d & Right ) const

inline

◆ Reverse()

void gp_Vec2d::Reverse ( )

◆ Reversed()

gp_Vec2d gp_Vec2d::Reversed ( ) const

Reverses the direction of a vector.

◆ Rotate()

void gp_Vec2d::Rotate ( const Standard_Real Ang )

◆ Rotated()

gp_Vec2d gp_Vec2d::Rotated ( const Standard_Real Ang ) const

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

◆ Scale()

void gp_Vec2d::Scale ( const Standard_Real S )

◆ Scaled()

gp_Vec2d gp_Vec2d::Scaled ( const Standard_Real S ) const

Scales a vector. S is the scaling value.

◆ SetCoord() [1/2]

void gp_Vec2d::SetCoord	(	const Standard_Integer	Index,
		const Standard_Real	Xi
	)

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

◆ SetCoord() [2/2]

void gp_Vec2d::SetCoord	(	const Standard_Real	Xv,
		const Standard_Real	Yv
	)

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

◆ SetLinearForm() [1/4]

void gp_Vec2d::SetLinearForm	(	const Standard_Real	A1,
		const gp_Vec2d &	V1,
		const Standard_Real	A2,
		const gp_Vec2d &	V2,
		const gp_Vec2d &	V3
	)

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

◆ SetLinearForm() [2/4]

void gp_Vec2d::SetLinearForm	(	const Standard_Real	A1,
		const gp_Vec2d &	V1,
		const Standard_Real	A2,
		const gp_Vec2d &	V2
	)

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

◆ SetLinearForm() [3/4]

void gp_Vec2d::SetLinearForm	(	const Standard_Real	A1,
		const gp_Vec2d &	V1,
		const gp_Vec2d &	V2
	)

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

◆ SetLinearForm() [4/4]

void gp_Vec2d::SetLinearForm	(	const gp_Vec2d &	Left,
		const gp_Vec2d &	Right
	)

<me> is set to the following linear form : Left + Right

◆ SetX()

void gp_Vec2d::SetX ( const Standard_Real X )

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

◆ SetXY()

void gp_Vec2d::SetXY ( const gp_XY & Coord )

Assigns the two coordinates of Coord to this vector.

◆ SetY()

void gp_Vec2d::SetY ( const Standard_Real Y )

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

◆ SquareMagnitude()

Standard_Real gp_Vec2d::SquareMagnitude ( ) const

Computes the square magnitude of this vector.

◆ Subtract()

void gp_Vec2d::Subtract ( const gp_Vec2d & Right )

Subtracts two vectors.

◆ Subtracted()

gp_Vec2d gp_Vec2d::Subtracted ( const gp_Vec2d & Right ) const

Subtracts two vectors.

◆ Transform()

void gp_Vec2d::Transform ( const gp_Trsf2d & T )

◆ Transformed()

gp_Vec2d gp_Vec2d::Transformed ( const gp_Trsf2d & T ) const

Transforms a vector with a Trsf from gp.

◆ X()

Standard_Real gp_Vec2d::X ( ) const

For this vector, returns its X coordinate.

◆ XY()

const gp_XY& gp_Vec2d::XY ( ) const

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

◆ Y()

Standard_Real gp_Vec2d::Y ( ) const

For this vector, returns its Y coordinate.

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

gp_Vec2d.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ gp_Vec2d() [1/5]

◆ gp_Vec2d() [2/5]

◆ gp_Vec2d() [3/5]

◆ gp_Vec2d() [4/5]

◆ gp_Vec2d() [5/5]

Member Function Documentation

◆ Add()

◆ Added()

◆ Angle()

◆ Coord() [1/2]

◆ Coord() [2/2]

◆ Crossed()

◆ CrossMagnitude()

◆ CrossSquareMagnitude()

◆ Divide()

◆ Divided()

◆ Dot()

◆ GetNormal()

◆ 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()