Open CASCADE Technology
7.5.0
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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.