Open CASCADE Technology
7.1.0.beta
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Describes a line in 2D space. A line is positioned in the plane with an axis (a gp_Ax2d object) which gives the line its origin and 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 GccAna and Geom2dGcc packages which provide functions for constructing lines defined by geometric constraints gce_MakeLin2d which provides functions for more complex line constructions Geom2d_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines. More...
#include <gp_Lin2d.hxx>
Public Member Functions | |
gp_Lin2d () | |
Creates a Line corresponding to X axis of the reference coordinate system. More... | |
gp_Lin2d (const gp_Ax2d &A) | |
Creates a line located with A. More... | |
gp_Lin2d (const gp_Pnt2d &P, const gp_Dir2d &V) | |
gp_Lin2d (const Standard_Real A, const Standard_Real B, const Standard_Real C) | |
Creates the line from the equation A*X + B*Y + C = 0.0 Raises ConstructionError if Sqrt(A*A + B*B) <= Resolution from gp. Raised if Sqrt(A*A + B*B) <= Resolution from gp. More... | |
void | Reverse () |
gp_Lin2d | Reversed () const |
Reverses the positioning axis of this line. Note: More... | |
void | SetDirection (const gp_Dir2d &V) |
Changes the direction of the line. More... | |
void | SetLocation (const gp_Pnt2d &P) |
Changes the origin of the line. More... | |
void | SetPosition (const gp_Ax2d &A) |
Complete redefinition of the line. The "Location" point of is the origin of the line. The "Direction" of is the direction of the line. More... | |
void | Coefficients (Standard_Real &A, Standard_Real &B, Standard_Real &C) const |
Returns the normalized coefficients of the line : A * X + B * Y + C = 0. More... | |
const gp_Dir2d & | Direction () const |
Returns the direction of the line. More... | |
const gp_Pnt2d & | Location () const |
Returns the location point (origin) of the line. More... | |
const gp_Ax2d & | Position () const |
Returns the axis placement one axis whith the same location and direction as <me>. More... | |
Standard_Real | Angle (const gp_Lin2d &Other) const |
Computes the angle between two lines in radians. More... | |
Standard_Boolean | Contains (const gp_Pnt2d &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_Pnt2d &P) const |
Computes the distance between <me> and the point. More... | |
Standard_Real | Distance (const gp_Lin2d &Other) const |
Computes the distance between two lines. More... | |
Standard_Real | SquareDistance (const gp_Pnt2d &P) const |
Computes the square distance between <me> and the point. More... | |
Standard_Real | SquareDistance (const gp_Lin2d &Other) const |
Computes the square distance between two lines. More... | |
gp_Lin2d | Normal (const gp_Pnt2d &P) const |
Computes the line normal to the direction of <me>, passing through the point. More... | |
void | Mirror (const gp_Pnt2d &P) |
gp_Lin2d | Mirrored (const gp_Pnt2d &P) const |
Performs the symmetrical transformation of a line with respect to the point. More... | |
void | Mirror (const gp_Ax2d &A) |
gp_Lin2d | Mirrored (const gp_Ax2d &A) const |
Performs the symmetrical transformation of a line with respect to an axis placement which is the axis of the symmetry. More... | |
void | Rotate (const gp_Pnt2d &P, const Standard_Real Ang) |
gp_Lin2d | Rotated (const gp_Pnt2d &P, const Standard_Real Ang) const |
Rotates a line. P is the center of the rotation. Ang is the angular value of the rotation in radians. More... | |
void | Scale (const gp_Pnt2d &P, const Standard_Real S) |
gp_Lin2d | Scaled (const gp_Pnt2d &P, const Standard_Real S) const |
Scales a line. S is the scaling value. Only the origin of the line is modified. More... | |
void | Transform (const gp_Trsf2d &T) |
gp_Lin2d | Transformed (const gp_Trsf2d &T) const |
Transforms a line with the transformation T from class Trsf2d. More... | |
void | Translate (const gp_Vec2d &V) |
gp_Lin2d | Translated (const gp_Vec2d &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_Pnt2d &P1, const gp_Pnt2d &P2) |
gp_Lin2d | Translated (const gp_Pnt2d &P1, const gp_Pnt2d &P2) const |
Translates a line from the point P1 to the point P2. More... | |
Describes a line in 2D space. A line is positioned in the plane with an axis (a gp_Ax2d object) which gives the line its origin and 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 GccAna and Geom2dGcc packages which provide functions for constructing lines defined by geometric constraints gce_MakeLin2d which provides functions for more complex line constructions Geom2d_Line which provides additional functions for constructing lines and works, in particular, with the parametric equations of lines.
gp_Lin2d::gp_Lin2d | ( | ) |
Creates a Line corresponding to X axis of the reference coordinate system.
gp_Lin2d::gp_Lin2d | ( | const gp_Ax2d & | A | ) |
Creates a line located with A.
is the location point (origin) of the line and <V> is the direction of the line.
gp_Lin2d::gp_Lin2d | ( | const Standard_Real | A, |
const Standard_Real | B, | ||
const Standard_Real | C | ||
) |
Creates the line from the equation A*X + B*Y + C = 0.0 Raises ConstructionError if Sqrt(A*A + B*B) <= Resolution from gp. Raised if Sqrt(A*A + B*B) <= Resolution from gp.
Standard_Real gp_Lin2d::Angle | ( | const gp_Lin2d & | Other | ) | const |
Computes the angle between two lines in radians.
void gp_Lin2d::Coefficients | ( | Standard_Real & | A, |
Standard_Real & | B, | ||
Standard_Real & | C | ||
) | const |
Returns the normalized coefficients of the line : A * X + B * Y + C = 0.
Standard_Boolean gp_Lin2d::Contains | ( | const gp_Pnt2d & | 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_Dir2d& gp_Lin2d::Direction | ( | ) | const |
Returns the direction of the line.
Standard_Real gp_Lin2d::Distance | ( | const gp_Pnt2d & | P | ) | const |
Computes the distance between <me> and the point.
.
Standard_Real gp_Lin2d::Distance | ( | const gp_Lin2d & | Other | ) | const |
Computes the distance between two lines.
const gp_Pnt2d& gp_Lin2d::Location | ( | ) | const |
Returns the location point (origin) of the line.
void gp_Lin2d::Mirror | ( | const gp_Pnt2d & | P | ) |
void gp_Lin2d::Mirror | ( | const gp_Ax2d & | A | ) |
Performs the symmetrical transformation of a line with respect to the point.
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.
Computes the line normal to the direction of <me>, passing through the point.
.
const gp_Ax2d& gp_Lin2d::Position | ( | ) | const |
Returns the axis placement one axis whith the same location and direction as <me>.
void gp_Lin2d::Reverse | ( | ) |
gp_Lin2d gp_Lin2d::Reversed | ( | ) | const |
Reverses the positioning axis of this line. Note:
void gp_Lin2d::Rotate | ( | const gp_Pnt2d & | P, |
const Standard_Real | Ang | ||
) |
gp_Lin2d gp_Lin2d::Rotated | ( | const gp_Pnt2d & | P, |
const Standard_Real | Ang | ||
) | const |
Rotates a line. P is the center of the rotation. Ang is the angular value of the rotation in radians.
void gp_Lin2d::Scale | ( | const gp_Pnt2d & | P, |
const Standard_Real | S | ||
) |
gp_Lin2d gp_Lin2d::Scaled | ( | const gp_Pnt2d & | P, |
const Standard_Real | S | ||
) | const |
Scales a line. S is the scaling value. Only the origin of the line is modified.
void gp_Lin2d::SetDirection | ( | const gp_Dir2d & | V | ) |
Changes the direction of the line.
void gp_Lin2d::SetLocation | ( | const gp_Pnt2d & | P | ) |
Changes the origin of the line.
void gp_Lin2d::SetPosition | ( | const gp_Ax2d & | A | ) |
Complete redefinition of the line. The "Location" point of is the origin of the line. The "Direction" of is the direction of the line.
Standard_Real gp_Lin2d::SquareDistance | ( | const gp_Pnt2d & | P | ) | const |
Computes the square distance between <me> and the point.
.
Standard_Real gp_Lin2d::SquareDistance | ( | const gp_Lin2d & | Other | ) | const |
Computes the square distance between two lines.
void gp_Lin2d::Transform | ( | const gp_Trsf2d & | T | ) |
Transforms a line with the transformation T from class Trsf2d.
void gp_Lin2d::Translate | ( | const gp_Vec2d & | 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.