gp_Dir2d Class Reference

Describes a unit vector in the plane (2D space). This unit vector is also called "Direction". See Also gce_MakeDir2d which provides functions for more complex unit vector constructions Geom2d_Direction which provides additional functions for constructing unit vectors and works, in particular, with the parametric equations of unit vectors. More...

#include <gp_Dir2d.hxx>

Public Member Functions
	gp_Dir2d ()
	Creates a direction corresponding to X axis. More...
	gp_Dir2d (const gp_Vec2d &V)
	Normalizes the vector V and creates a Direction. Raises ConstructionError if V.Magnitude() <= Resolution from gp. More...
	gp_Dir2d (const gp_XY &Coord)
	Creates a Direction from a doublet of coordinates. Raises ConstructionError if Coord.Modulus() <= Resolution from gp. More...
	gp_Dir2d (const Standard_Real Xv, const Standard_Real Yv)
	Creates a Direction with its 2 cartesian coordinates. Raises ConstructionError if Sqrt(Xv*Xv + Yv*Yv) <= Resolution from gp. More...
void	SetCoord (const Standard_Integer Index, const Standard_Real Xi)
	For this unit vector, assigns: the value Xi to: More...
void	SetCoord (const Standard_Real Xv, const Standard_Real Yv)
	For this unit vector, assigns: More...
void	SetX (const Standard_Real X)
	Assigns the given value to the X coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution(): More...
void	SetY (const Standard_Real Y)
	Assigns the given value to the Y coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution(): More...
void	SetXY (const gp_XY &Coord)
	Assigns: More...
Standard_Real	Coord (const Standard_Integer Index) const
	For this unit vector returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Raises OutOfRange if Index != {1, 2}. More...
void	Coord (Standard_Real &Xv, Standard_Real &Yv) const
	For this unit vector returns its two coordinates Xv and Yv. Raises OutOfRange if Index != {1, 2}. More...
Standard_Real	X () const
	For this unit vector, returns its X coordinate. More...
Standard_Real	Y () const
	For this unit vector, returns its Y coordinate. More...
const gp_XY &	XY () const
	For this unit vector, returns its two coordinates as a number pair. Comparison between Directions The precision value is an input data. More...
Standard_Boolean	IsEqual (const gp_Dir2d &Other, const Standard_Real AngularTolerance) const
	Returns True if the two vectors have the same direction i.e. the angle between this unit vector and the unit vector Other is less than or equal to AngularTolerance. More...
Standard_Boolean	IsNormal (const gp_Dir2d &Other, const Standard_Real AngularTolerance) const
	Returns True if the angle between this unit vector and the unit vector Other is equal to Pi/2 or -Pi/2 (normal) i.e. Abs(Abs(<me>.Angle(Other)) - PI/2.) <= AngularTolerance. More...
Standard_Boolean	IsOpposite (const gp_Dir2d &Other, const Standard_Real AngularTolerance) const
	Returns True if the angle between this unit vector and the unit vector Other is equal to Pi or -Pi (opposite). i.e. PI - Abs(<me>.Angle(Other)) <= AngularTolerance. More...
Standard_Boolean	IsParallel (const gp_Dir2d &Other, const Standard_Real AngularTolerance) const
	returns true if if the angle between this unit vector and unit vector Other is equal to 0, Pi or -Pi. i.e. Abs(Angle(<me>, Other)) <= AngularTolerance or PI - Abs(Angle(<me>, Other)) <= AngularTolerance More...
Standard_Real	Angle (const gp_Dir2d &Other) const
	Computes the angular value in radians between <me> and <Other>. Returns the angle in the range [-PI, PI]. More...
Standard_Real	Crossed (const gp_Dir2d &Right) const
	Computes the cross product between two directions. More...
Standard_Real	operator^ (const gp_Dir2d &Right) const
Standard_Real	Dot (const gp_Dir2d &Other) const
	Computes the scalar product. More...
Standard_Real	operator* (const gp_Dir2d &Other) const
void	Reverse ()
gp_Dir2d	Reversed () const
	Reverses the orientation of a direction. More...
gp_Dir2d	operator- () const
void	Mirror (const gp_Dir2d &V)
gp_Dir2d	Mirrored (const gp_Dir2d &V) const
	Performs the symmetrical transformation of a direction with respect to the direction V which is the center of the symmetry. More...
void	Mirror (const gp_Ax2d &A)
gp_Dir2d	Mirrored (const gp_Ax2d &A) const
	Performs the symmetrical transformation of a direction with respect to an axis placement which is the axis of the symmetry. More...
void	Rotate (const Standard_Real Ang)
gp_Dir2d	Rotated (const Standard_Real Ang) const
	Rotates a direction. Ang is the angular value of the rotation in radians. More...
void	Transform (const gp_Trsf2d &T)
gp_Dir2d	Transformed (const gp_Trsf2d &T) const
	Transforms a direction with the "Trsf" T. Warnings : If the scale factor of the "Trsf" T is negative then the direction <me> is reversed. More...

Detailed Description

Describes a unit vector in the plane (2D space). This unit vector is also called "Direction". See Also gce_MakeDir2d which provides functions for more complex unit vector constructions Geom2d_Direction which provides additional functions for constructing unit vectors and works, in particular, with the parametric equations of unit vectors.

Constructor & Destructor Documentation

gp_Dir2d() [1/4]

gp_Dir2d::gp_Dir2d

(

)

Creates a direction corresponding to X axis.

gp_Dir2d() [2/4]

gp_Dir2d::gp_Dir2d

(

const gp_Vec2d &

V

)

Normalizes the vector V and creates a Direction. Raises ConstructionError if V.Magnitude() <= Resolution from gp.

gp_Dir2d() [3/4]

gp_Dir2d::gp_Dir2d

(

const gp_XY &

Coord

)

Creates a Direction from a doublet of coordinates. Raises ConstructionError if Coord.Modulus() <= Resolution from gp.

gp_Dir2d() [4/4]

gp_Dir2d::gp_Dir2d	(	const Standard_Real	Xv,
		const Standard_Real	Yv
	)

Creates a Direction with its 2 cartesian coordinates. Raises ConstructionError if Sqrt(Xv*Xv + Yv*Yv) <= Resolution from gp.

Member Function Documentation

Angle()

Standard_Real gp_Dir2d::Angle

(

const gp_Dir2d &

Other

)

const

Computes the angular value in radians between <me> and <Other>. Returns the angle in the range [-PI, PI].

Coord() [1/2]

Standard_Real gp_Dir2d::Coord

(

const Standard_Integer

Index

)

const

For this unit vector returns the coordinate of range Index : Index = 1 => X is returned Index = 2 => Y is returned Raises OutOfRange if Index != {1, 2}.

Coord() [2/2]

void gp_Dir2d::Coord	(	Standard_Real &	Xv,
		Standard_Real &	Yv
	)		const

For this unit vector returns its two coordinates Xv and Yv. Raises OutOfRange if Index != {1, 2}.

Crossed()

Standard_Real gp_Dir2d::Crossed

(

const gp_Dir2d &

Right

)

const

Computes the cross product between two directions.

Dot()

Standard_Real gp_Dir2d::Dot

(

const gp_Dir2d &

Other

)

const

Computes the scalar product.

IsEqual()

Standard_Boolean gp_Dir2d::IsEqual	(	const gp_Dir2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the two vectors have the same direction i.e. the angle between this unit vector and the unit vector Other is less than or equal to AngularTolerance.

IsNormal()

Standard_Boolean gp_Dir2d::IsNormal	(	const gp_Dir2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the angle between this unit vector and the unit vector Other is equal to Pi/2 or -Pi/2 (normal) i.e. Abs(Abs(<me>.Angle(Other)) - PI/2.) <= AngularTolerance.

IsOpposite()

Standard_Boolean gp_Dir2d::IsOpposite	(	const gp_Dir2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

Returns True if the angle between this unit vector and the unit vector Other is equal to Pi or -Pi (opposite). i.e. PI - Abs(<me>.Angle(Other)) <= AngularTolerance.

IsParallel()

Standard_Boolean gp_Dir2d::IsParallel	(	const gp_Dir2d &	Other,
		const Standard_Real	AngularTolerance
	)		const

returns true if if the angle between this unit vector and unit vector Other is equal to 0, Pi or -Pi. i.e. Abs(Angle(<me>, Other)) <= AngularTolerance or PI - Abs(Angle(<me>, Other)) <= AngularTolerance

Mirror() [1/2]

void gp_Dir2d::Mirror

(

const gp_Dir2d &

V

)

Mirror() [2/2]

void gp_Dir2d::Mirror

(

const gp_Ax2d &

A

)

Mirrored() [1/2]

gp_Dir2d gp_Dir2d::Mirrored

(

const gp_Dir2d &

V

)

const

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

Mirrored() [2/2]

gp_Dir2d gp_Dir2d::Mirrored

(

const gp_Ax2d &

A

)

const

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

operator*()

Standard_Real gp_Dir2d::operator* ( const gp_Dir2d &  Other ) const

inline

operator-()

gp_Dir2d gp_Dir2d::operator- ( ) const

inline

operator^()

Standard_Real gp_Dir2d::operator^ ( const gp_Dir2d &  Right ) const

inline

Reverse()

void gp_Dir2d::Reverse

(

)

Reversed()

gp_Dir2d gp_Dir2d::Reversed

(

)

const

Reverses the orientation of a direction.

Rotate()

void gp_Dir2d::Rotate

(

const Standard_Real

Ang

)

Rotated()

gp_Dir2d gp_Dir2d::Rotated

(

const Standard_Real

Ang

)

const

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

SetCoord() [1/2]

void gp_Dir2d::SetCoord	(	const Standard_Integer	Index,
		const Standard_Real	Xi
	)

For this unit vector, assigns: the value Xi to:

• the X coordinate if Index is 1, or
• the Y coordinate if Index is 2, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_OutOfRange if Index is not 1 or 2. Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
• Sqrt(Xv*Xv + Yv*Yv), or
• the modulus of the number pair formed by the new value Xi and the other coordinate of this vector that was not directly modified. Raises OutOfRange if Index != {1, 2}.

SetCoord() [2/2]

void gp_Dir2d::SetCoord	(	const Standard_Real	Xv,
		const Standard_Real	Yv
	)

For this unit vector, assigns:

• the values Xv and Yv to its two coordinates, Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_OutOfRange if Index is not 1 or 2. Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
• Sqrt(Xv*Xv + Yv*Yv), or
• the modulus of the number pair formed by the new value Xi and the other coordinate of this vector that was not directly modified. Raises OutOfRange if Index != {1, 2}.

SetX()

void gp_Dir2d::SetX

(

const Standard_Real

X

)

Assigns the given value to the X coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

• the modulus of Coord, or
• the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.

SetXY()

void gp_Dir2d::SetXY

(

const gp_XY &

Coord

)

Assigns:

• the two coordinates of Coord to this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():
• the modulus of Coord, or
• the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.

SetY()

void gp_Dir2d::SetY

(

const Standard_Real

Y

)

Assigns the given value to the Y coordinate of this unit vector, and then normalizes it. Warning Remember that all the coordinates of a unit vector are implicitly modified when any single one is changed directly. Exceptions Standard_ConstructionError if either of the following is less than or equal to gp::Resolution():

• the modulus of Coord, or
• the modulus of the number pair formed from the new X or Y coordinate and the other coordinate of this vector that was not directly modified.

Transform()

void gp_Dir2d::Transform

(

const gp_Trsf2d &

T

)

Transformed()

gp_Dir2d gp_Dir2d::Transformed

(

const gp_Trsf2d &

T

)

const

Transforms a direction with the "Trsf" T. Warnings : If the scale factor of the "Trsf" T is negative then the direction <me> is reversed.

X()

Standard_Real gp_Dir2d::X

(

)

const

For this unit vector, returns its X coordinate.

XY()

const gp_XY& gp_Dir2d::XY

(

)

const

For this unit vector, returns its two coordinates as a number pair. Comparison between Directions The precision value is an input data.

Y()

Standard_Real gp_Dir2d::Y

(

)

const

For this unit vector, returns its Y coordinate.

---

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

• gp_Dir2d.hxx