Open CASCADE Technology
7.1.0.beta

Describes a line in 3D space. A line is positioned in space with an axis (a gp_Ax1 object) which gives it an origin and a unit vector. A line and an axis are similar objects, thus, we can convert one into the other. A line provides direct access to the majority of the edit and query functions available on its positioning axis. In addition, however, a line has specific functions for computing distances and positions. See Also gce_MakeLin which provides functions for more complex line constructions Geom_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines. More...
#include <gp_Lin.hxx>
Public Member Functions  
gp_Lin ()  
Creates a Line corresponding to Z axis of the reference coordinate system. More...  
gp_Lin (const gp_Ax1 &A1)  
Creates a line defined by axis A1. More...  
gp_Lin (const gp_Pnt &P, const gp_Dir &V)  
Creates a line passing through point P and parallel to vector V (P and V are, respectively, the origin and the unit vector of the positioning axis of the line). More...  
void  Reverse () 
gp_Lin  Reversed () const 
Reverses the direction of the line. Note: More...  
void  SetDirection (const gp_Dir &V) 
Changes the direction of the line. More...  
void  SetLocation (const gp_Pnt &P) 
Changes the location point (origin) of the line. More...  
void  SetPosition (const gp_Ax1 &A1) 
Complete redefinition of the line. The "Location" point of <A1> is the origin of the line. The "Direction" of <A1> is the direction of the line. More...  
const gp_Dir &  Direction () const 
Returns the direction of the line. More...  
const gp_Pnt &  Location () const 
Returns the location point (origin) of the line. More...  
const gp_Ax1 &  Position () const 
Returns the axis placement one axis whith the same location and direction as <me>. More...  
Standard_Real  Angle (const gp_Lin &Other) const 
Computes the angle between two lines in radians. More...  
Standard_Boolean  Contains (const gp_Pnt &P, const Standard_Real LinearTolerance) const 
Returns true if this line contains the point P, that is, if the distance between point P and this line is less than or equal to LinearTolerance.. More...  
Standard_Real  Distance (const gp_Pnt &P) const 
Computes the distance between <me> and the point P. More...  
Standard_Real  Distance (const gp_Lin &Other) const 
Computes the distance between two lines. More...  
Standard_Real  SquareDistance (const gp_Pnt &P) const 
Computes the square distance between <me> and the point P. More...  
Standard_Real  SquareDistance (const gp_Lin &Other) const 
Computes the square distance between two lines. More...  
gp_Lin  Normal (const gp_Pnt &P) const 
Computes the line normal to the direction of <me>, passing through the point P. Raises ConstructionError if the distance between <me> and the point P is lower or equal to Resolution from gp because there is an infinity of solutions in 3D space. More...  
void  Mirror (const gp_Pnt &P) 
gp_Lin  Mirrored (const gp_Pnt &P) const 
Performs the symmetrical transformation of a line with respect to the point P which is the center of the symmetry. More...  
void  Mirror (const gp_Ax1 &A1) 
gp_Lin  Mirrored (const gp_Ax1 &A1) const 
Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry. More...  
void  Mirror (const gp_Ax2 &A2) 
gp_Lin  Mirrored (const gp_Ax2 &A2) const 
Performs the symmetrical transformation of a line with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection). More...  
void  Rotate (const gp_Ax1 &A1, const Standard_Real Ang) 
gp_Lin  Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const 
Rotates a line. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...  
void  Scale (const gp_Pnt &P, const Standard_Real S) 
gp_Lin  Scaled (const gp_Pnt &P, const Standard_Real S) const 
Scales a line. S is the scaling value. The "Location" point (origin) of the line is modified. The "Direction" is reversed if the scale is negative. More...  
void  Transform (const gp_Trsf &T) 
gp_Lin  Transformed (const gp_Trsf &T) const 
Transforms a line with the transformation T from class Trsf. More...  
void  Translate (const gp_Vec &V) 
gp_Lin  Translated (const gp_Vec &V) const 
Translates a line in the direction of the vector V. The magnitude of the translation is the vector's magnitude. More...  
void  Translate (const gp_Pnt &P1, const gp_Pnt &P2) 
gp_Lin  Translated (const gp_Pnt &P1, const gp_Pnt &P2) const 
Translates a line from the point P1 to the point P2. More...  
Describes a line in 3D space. A line is positioned in space with an axis (a gp_Ax1 object) which gives it an origin and a unit vector. A line and an axis are similar objects, thus, we can convert one into the other. A line provides direct access to the majority of the edit and query functions available on its positioning axis. In addition, however, a line has specific functions for computing distances and positions. See Also gce_MakeLin which provides functions for more complex line constructions Geom_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines.
gp_Lin::gp_Lin  (  ) 
Creates a Line corresponding to Z axis of the reference coordinate system.
gp_Lin::gp_Lin  (  const gp_Ax1 &  A1  ) 
Creates a line defined by axis A1.
Creates a line passing through point P and parallel to vector V (P and V are, respectively, the origin and the unit vector of the positioning axis of the line).
Standard_Real gp_Lin::Angle  (  const gp_Lin &  Other  )  const 
Computes the angle between two lines in radians.
Standard_Boolean gp_Lin::Contains  (  const gp_Pnt &  P, 
const Standard_Real  LinearTolerance  
)  const 
Returns true if this line contains the point P, that is, if the distance between point P and this line is less than or equal to LinearTolerance..
const gp_Dir& gp_Lin::Direction  (  )  const 
Returns the direction of the line.
Standard_Real gp_Lin::Distance  (  const gp_Pnt &  P  )  const 
Computes the distance between <me> and the point P.
Standard_Real gp_Lin::Distance  (  const gp_Lin &  Other  )  const 
Computes the distance between two lines.
const gp_Pnt& gp_Lin::Location  (  )  const 
Returns the location point (origin) of the line.
void gp_Lin::Mirror  (  const gp_Pnt &  P  ) 
void gp_Lin::Mirror  (  const gp_Ax1 &  A1  ) 
void gp_Lin::Mirror  (  const gp_Ax2 &  A2  ) 
Performs the symmetrical transformation of a line with respect to the point P which is the center of the symmetry.
Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry.
Performs the symmetrical transformation of a line with respect to a plane. The axis placement <A2> locates the plane of the symmetry : (Location, XDirection, YDirection).
Computes the line normal to the direction of <me>, passing through the point P. Raises ConstructionError if the distance between <me> and the point P is lower or equal to Resolution from gp because there is an infinity of solutions in 3D space.
const gp_Ax1& gp_Lin::Position  (  )  const 
Returns the axis placement one axis whith the same location and direction as <me>.
void gp_Lin::Reverse  (  ) 
gp_Lin gp_Lin::Reversed  (  )  const 
Reverses the direction of the line. Note:
void gp_Lin::Rotate  (  const gp_Ax1 &  A1, 
const Standard_Real  Ang  
) 
gp_Lin gp_Lin::Rotated  (  const gp_Ax1 &  A1, 
const Standard_Real  Ang  
)  const 
Rotates a line. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.
void gp_Lin::Scale  (  const gp_Pnt &  P, 
const Standard_Real  S  
) 
gp_Lin gp_Lin::Scaled  (  const gp_Pnt &  P, 
const Standard_Real  S  
)  const 
Scales a line. S is the scaling value. The "Location" point (origin) of the line is modified. The "Direction" is reversed if the scale is negative.
void gp_Lin::SetDirection  (  const gp_Dir &  V  ) 
Changes the direction of the line.
void gp_Lin::SetLocation  (  const gp_Pnt &  P  ) 
Changes the location point (origin) of the line.
void gp_Lin::SetPosition  (  const gp_Ax1 &  A1  ) 
Complete redefinition of the line. The "Location" point of <A1> is the origin of the line. The "Direction" of <A1> is the direction of the line.
Standard_Real gp_Lin::SquareDistance  (  const gp_Pnt &  P  )  const 
Computes the square distance between <me> and the point P.
Standard_Real gp_Lin::SquareDistance  (  const gp_Lin &  Other  )  const 
Computes the square distance between two lines.
void gp_Lin::Transform  (  const gp_Trsf &  T  ) 
Transforms a line with the transformation T from class Trsf.
void gp_Lin::Translate  (  const gp_Vec &  V  ) 
Translates a line in the direction of the vector V. The magnitude of the translation is the vector's magnitude.
Translates a line from the point P1 to the point P2.