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.
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| gp_Dir2d () |
| Creates a direction corresponding to X axis. More...
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| gp_Dir2d (const gp_Vec2d &V) |
| Normalizes the vector V and creates a Direction. Raises ConstructionError if V.Magnitude() <= Resolution from gp. More...
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| gp_Dir2d (const gp_XY &Coord) |
| Creates a Direction from a doublet of coordinates. Raises ConstructionError if Coord.Modulus() <= Resolution from gp. More...
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| 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...
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void | SetCoord (const Standard_Integer Index, const Standard_Real Xi) |
| For this unit vector, assigns: the value Xi to: More...
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void | SetCoord (const Standard_Real Xv, const Standard_Real Yv) |
| For this unit vector, assigns: More...
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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...
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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...
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void | SetXY (const gp_XY &Coord) |
| Assigns: More...
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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...
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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...
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Standard_Real | X () const |
| For this unit vector, returns its X coordinate. More...
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Standard_Real | Y () const |
| For this unit vector, returns its Y coordinate. More...
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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...
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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...
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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...
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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...
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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...
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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...
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Standard_Real | Crossed (const gp_Dir2d &Right) const |
| Computes the cross product between two directions. More...
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Standard_Real | operator^ (const gp_Dir2d &Right) const |
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Standard_Real | Dot (const gp_Dir2d &Other) const |
| Computes the scalar product. More...
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Standard_Real | operator* (const gp_Dir2d &Other) const |
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void | Reverse () |
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gp_Dir2d | Reversed () const |
| Reverses the orientation of a direction. More...
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gp_Dir2d | operator- () const |
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void | Mirror (const gp_Dir2d &V) |
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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...
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void | Mirror (const gp_Ax2d &A) |
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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...
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void | Rotate (const Standard_Real Ang) |
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gp_Dir2d | Rotated (const Standard_Real Ang) const |
| Rotates a direction. Ang is the angular value of the rotation in radians. More...
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void | Transform (const gp_Trsf2d &T) |
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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...
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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.