Open CASCADE Technology
6.5.4
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Describes an infinite line in the plane (2D space).
A line is defined and positioned in the plane with an
axis (gp_Ax2d object) which gives it an origin and a unit vector.
The Geom2d_Line line is parameterized as follows:
P (U) = O + U*Dir
where:
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#include <Geom2d_Line.hxx>
Public Member Functions | |
Geom2d_Line (const gp_Ax2d &A) | |
Creates a line located in 2D space with the axis placement A. The Location of A is the origin of the line. | |
Geom2d_Line (const gp_Lin2d &L) | |
Creates a line by conversion of the gp_Lin2d line L. | |
Geom2d_Line (const gp_Pnt2d &P, const gp_Dir2d &V) | |
Constructs 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). | |
void | SetLin2d (const gp_Lin2d &L) |
Set <me> so that <me> has the same geometric properties as L. | |
void | SetDirection (const gp_Dir2d &V) |
changes the direction of the line. | |
const gp_Dir2d & | Direction () const |
changes the direction of the line. | |
void | SetLocation (const gp_Pnt2d &P) |
Changes the "Location" point (origin) of the line. | |
const gp_Pnt2d & | Location () const |
Changes the "Location" point (origin) of the line. | |
void | SetPosition (const gp_Ax2d &A) |
Changes the "Location" and a the "Direction" of <me>. | |
const gp_Ax2d & | Position () const |
gp_Lin2d | Lin2d () const |
Returns non persistent line from gp with the same geometric properties as <me> | |
void | Reverse () |
Changes the orientation of this line. As a result, the unit vector of the positioning axis of this line is reversed. | |
Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed line for the point of parameter U on this line. For a line, the returned value is -U. | |
Standard_Real | FirstParameter () const |
Returns RealFirst from Standard. | |
Standard_Real | LastParameter () const |
Returns RealLast from Standard | |
Standard_Boolean | IsClosed () const |
Returns False | |
Standard_Boolean | IsPeriodic () const |
Returns False | |
GeomAbs_Shape | Continuity () const |
Returns GeomAbs_CN, which is the global continuity of any line. | |
Standard_Real | Distance (const gp_Pnt2d &P) const |
Computes the distance between <me> and the point P. | |
Standard_Boolean | IsCN (const Standard_Integer N) const |
Returns True. | |
void | D0 (const Standard_Real U, gp_Pnt2d &P) const |
Returns in P the point of parameter U. P (U) = O + U * Dir where O is the "Location" point of the line and Dir the direction of the line. | |
void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const |
Returns the point P of parameter u and the first derivative V1. | |
void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const |
Returns the point P of parameter U, the first and second derivatives V1 and V2. V2 is a vector with null magnitude for a line. | |
void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const |
V2 and V3 are vectors with null magnitude for a line. | |
gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const |
For the point of parameter U of this line, computes the vector corresponding to the Nth derivative. Note: if N is greater than or equal to 2, the result is a vector with null magnitude. Exceptions Standard_RangeError if N is less than 1. | |
void | Transform (const gp_Trsf2d &T) |
Applies the transformation T to this line. | |
virtual Standard_Real | TransformedParameter (const Standard_Real U, const gp_Trsf2d &T) const |
Computes the parameter on the line transformed by T for the point of parameter U on this line. For a line, the returned value is equal to U multiplied by the scale factor of transformation T. | |
virtual Standard_Real | ParametricTransformation (const gp_Trsf2d &T) const |
Returns the coefficient required to compute the parametric transformation of this line when transformation T is applied. This coefficient is the ratio between the parameter of a point on this line and the parameter of the transformed point on the new line transformed by T. For a line, the returned value is the scale factor of the transformation T. | |
Handle_Geom2d_Geometry | Copy () const |
Creates a new object, which is a copy of this line. |
Geom2d_Line::Geom2d_Line | ( | const gp_Ax2d & | A | ) |
Geom2d_Line::Geom2d_Line | ( | const gp_Pnt2d & | P, |
const gp_Dir2d & | V | ||
) |
GeomAbs_Shape Geom2d_Line::Continuity | ( | ) | const [virtual] |
Implements Geom2d_Curve.
Handle_Geom2d_Geometry Geom2d_Line::Copy | ( | ) | const [virtual] |
Implements Geom2d_Geometry.
void Geom2d_Line::D0 | ( | const Standard_Real | U, |
gp_Pnt2d & | P | ||
) | const [virtual] |
Implements Geom2d_Curve.
void Geom2d_Line::D1 | ( | const Standard_Real | U, |
gp_Pnt2d & | P, | ||
gp_Vec2d & | V1 | ||
) | const [virtual] |
Implements Geom2d_Curve.
void Geom2d_Line::D2 | ( | const Standard_Real | U, |
gp_Pnt2d & | P, | ||
gp_Vec2d & | V1, | ||
gp_Vec2d & | V2 | ||
) | const [virtual] |
Implements Geom2d_Curve.
void Geom2d_Line::D3 | ( | const Standard_Real | U, |
gp_Pnt2d & | P, | ||
gp_Vec2d & | V1, | ||
gp_Vec2d & | V2, | ||
gp_Vec2d & | V3 | ||
) | const [virtual] |
Implements Geom2d_Curve.
const gp_Dir2d& Geom2d_Line::Direction | ( | ) | const |
Standard_Real Geom2d_Line::Distance | ( | const gp_Pnt2d & | P | ) | const |
gp_Vec2d Geom2d_Line::DN | ( | const Standard_Real | U, |
const Standard_Integer | N | ||
) | const [virtual] |
Implements Geom2d_Curve.
Standard_Real Geom2d_Line::FirstParameter | ( | ) | const [virtual] |
Implements Geom2d_Curve.
Standard_Boolean Geom2d_Line::IsClosed | ( | ) | const [virtual] |
Implements Geom2d_Curve.
Standard_Boolean Geom2d_Line::IsCN | ( | const Standard_Integer | N | ) | const [virtual] |
Implements Geom2d_Curve.
Standard_Boolean Geom2d_Line::IsPeriodic | ( | ) | const [virtual] |
Implements Geom2d_Curve.
Standard_Real Geom2d_Line::LastParameter | ( | ) | const [virtual] |
Implements Geom2d_Curve.
gp_Lin2d Geom2d_Line::Lin2d | ( | ) | const |
const gp_Pnt2d& Geom2d_Line::Location | ( | ) | const |
virtual Standard_Real Geom2d_Line::ParametricTransformation | ( | const gp_Trsf2d & | T | ) | const [virtual] |
Reimplemented from Geom2d_Curve.
const gp_Ax2d& Geom2d_Line::Position | ( | ) | const |
void Geom2d_Line::Reverse | ( | ) | [virtual] |
Implements Geom2d_Curve.
Standard_Real Geom2d_Line::ReversedParameter | ( | const Standard_Real | U | ) | const [virtual] |
Implements Geom2d_Curve.
void Geom2d_Line::SetLin2d | ( | const gp_Lin2d & | L | ) |
void Geom2d_Line::SetPosition | ( | const gp_Ax2d & | A | ) |
void Geom2d_Line::Transform | ( | const gp_Trsf2d & | T | ) | [virtual] |
Implements Geom2d_Geometry.
virtual Standard_Real Geom2d_Line::TransformedParameter | ( | const Standard_Real | U, |
const gp_Trsf2d & | T | ||
) | const [virtual] |
Reimplemented from Geom2d_Curve.