Open CASCADE Technology  7.3.1.dev
Public Member Functions
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_XYXY () 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: