Open CASCADE Technology
7.2.0
|
Describes a parabola in 3D space. A parabola is defined by its focal length (that is, the distance between its focus and apex) and positioned in space with a coordinate system (a gp_Ax2 object) where: More...
#include <gp_Parab.hxx>
Public Member Functions | |
gp_Parab () | |
Creates an indefinite Parabola. More... | |
gp_Parab (const gp_Ax2 &A2, const Standard_Real Focal) | |
Creates a parabola with its local coordinate system "A2" and it's focal length "Focal". The XDirection of A2 defines the axis of symmetry of the parabola. The YDirection of A2 is parallel to the directrix of the parabola. The Location point of A2 is the vertex of the parabola Raises ConstructionError if Focal < 0.0 Raised if Focal < 0.0. More... | |
gp_Parab (const gp_Ax1 &D, const gp_Pnt &F) | |
D is the directrix of the parabola and F the focus point. The symmetry axis (XAxis) of the parabola is normal to the directrix and pass through the focus point F, but its location point is the vertex of the parabola. The YAxis of the parabola is parallel to D and its location point is the vertex of the parabola. The normal to the plane of the parabola is the cross product between the XAxis and the YAxis. More... | |
void | SetAxis (const gp_Ax1 &A1) |
Modifies this parabola by redefining its local coordinate system so that. More... | |
void | SetFocal (const Standard_Real Focal) |
Changes the focal distance of the parabola. Raises ConstructionError if Focal < 0.0. More... | |
void | SetLocation (const gp_Pnt &P) |
Changes the location of the parabola. It is the vertex of the parabola. More... | |
void | SetPosition (const gp_Ax2 &A2) |
Changes the local coordinate system of the parabola. More... | |
const gp_Ax1 & | Axis () const |
Returns the main axis of the parabola. It is the axis normal to the plane of the parabola passing through the vertex of the parabola. More... | |
gp_Ax1 | Directrix () const |
Computes the directrix of this parabola. The directrix is: More... | |
Standard_Real | Focal () const |
Returns the distance between the vertex and the focus of the parabola. More... | |
gp_Pnt | Focus () const |
const gp_Pnt & | Location () const |
Returns the vertex of the parabola. It is the "Location" point of the coordinate system of the parabola. More... | |
Standard_Real | Parameter () const |
Computes the parameter of the parabola. It is the distance between the focus and the directrix of the parabola. This distance is twice the focal length. More... | |
const gp_Ax2 & | Position () const |
Returns the local coordinate system of the parabola. More... | |
gp_Ax1 | XAxis () const |
Returns the symmetry axis of the parabola. The location point of the axis is the vertex of the parabola. More... | |
gp_Ax1 | YAxis () const |
It is an axis parallel to the directrix of the parabola. The location point of this axis is the vertex of the parabola. More... | |
void | Mirror (const gp_Pnt &P) |
gp_Parab | Mirrored (const gp_Pnt &P) const |
Performs the symmetrical transformation of a parabola with respect to the point P which is the center of the symmetry. More... | |
void | Mirror (const gp_Ax1 &A1) |
gp_Parab | Mirrored (const gp_Ax1 &A1) const |
Performs the symmetrical transformation of a parabola with respect to an axis placement which is the axis of the symmetry. More... | |
void | Mirror (const gp_Ax2 &A2) |
gp_Parab | Mirrored (const gp_Ax2 &A2) const |
Performs the symmetrical transformation of a parabola 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_Parab | Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const |
Rotates a parabola. 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_Parab | Scaled (const gp_Pnt &P, const Standard_Real S) const |
Scales a parabola. S is the scaling value. If S is negative the direction of the symmetry axis XAxis is reversed and the direction of the YAxis too. More... | |
void | Transform (const gp_Trsf &T) |
gp_Parab | Transformed (const gp_Trsf &T) const |
Transforms a parabola with the transformation T from class Trsf. More... | |
void | Translate (const gp_Vec &V) |
gp_Parab | Translated (const gp_Vec &V) const |
Translates a parabola 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_Parab | Translated (const gp_Pnt &P1, const gp_Pnt &P2) const |
Translates a parabola from the point P1 to the point P2. More... | |
Describes a parabola in 3D space. A parabola is defined by its focal length (that is, the distance between its focus and apex) and positioned in space with a coordinate system (a gp_Ax2 object) where:
gp_Parab::gp_Parab | ( | ) |
Creates an indefinite Parabola.
gp_Parab::gp_Parab | ( | const gp_Ax2 & | A2, |
const Standard_Real | Focal | ||
) |
Creates a parabola with its local coordinate system "A2" and it's focal length "Focal". The XDirection of A2 defines the axis of symmetry of the parabola. The YDirection of A2 is parallel to the directrix of the parabola. The Location point of A2 is the vertex of the parabola Raises ConstructionError if Focal < 0.0 Raised if Focal < 0.0.
D is the directrix of the parabola and F the focus point. The symmetry axis (XAxis) of the parabola is normal to the directrix and pass through the focus point F, but its location point is the vertex of the parabola. The YAxis of the parabola is parallel to D and its location point is the vertex of the parabola. The normal to the plane of the parabola is the cross product between the XAxis and the YAxis.
const gp_Ax1& gp_Parab::Axis | ( | ) | const |
Returns the main axis of the parabola. It is the axis normal to the plane of the parabola passing through the vertex of the parabola.
gp_Ax1 gp_Parab::Directrix | ( | ) | const |
Computes the directrix of this parabola. The directrix is:
Standard_Real gp_Parab::Focal | ( | ) | const |
Returns the distance between the vertex and the focus of the parabola.
gp_Pnt gp_Parab::Focus | ( | ) | const |
const gp_Pnt& gp_Parab::Location | ( | ) | const |
Returns the vertex of the parabola. It is the "Location" point of the coordinate system of the parabola.
void gp_Parab::Mirror | ( | const gp_Pnt & | P | ) |
void gp_Parab::Mirror | ( | const gp_Ax1 & | A1 | ) |
void gp_Parab::Mirror | ( | const gp_Ax2 & | A2 | ) |
Performs the symmetrical transformation of a parabola with respect to the point P which is the center of the symmetry.
Performs the symmetrical transformation of a parabola with respect to an axis placement which is the axis of the symmetry.
Performs the symmetrical transformation of a parabola with respect to a plane. The axis placement A2 locates the plane of the symmetry (Location, XDirection, YDirection).
Standard_Real gp_Parab::Parameter | ( | ) | const |
Computes the parameter of the parabola. It is the distance between the focus and the directrix of the parabola. This distance is twice the focal length.
const gp_Ax2& gp_Parab::Position | ( | ) | const |
Returns the local coordinate system of the parabola.
void gp_Parab::Rotate | ( | const gp_Ax1 & | A1, |
const Standard_Real | Ang | ||
) |
gp_Parab gp_Parab::Rotated | ( | const gp_Ax1 & | A1, |
const Standard_Real | Ang | ||
) | const |
Rotates a parabola. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.
void gp_Parab::Scale | ( | const gp_Pnt & | P, |
const Standard_Real | S | ||
) |
gp_Parab gp_Parab::Scaled | ( | const gp_Pnt & | P, |
const Standard_Real | S | ||
) | const |
Scales a parabola. S is the scaling value. If S is negative the direction of the symmetry axis XAxis is reversed and the direction of the YAxis too.
void gp_Parab::SetAxis | ( | const gp_Ax1 & | A1 | ) |
Modifies this parabola by redefining its local coordinate system so that.
void gp_Parab::SetFocal | ( | const Standard_Real | Focal | ) |
Changes the focal distance of the parabola. Raises ConstructionError if Focal < 0.0.
void gp_Parab::SetLocation | ( | const gp_Pnt & | P | ) |
Changes the location of the parabola. It is the vertex of the parabola.
void gp_Parab::SetPosition | ( | const gp_Ax2 & | A2 | ) |
Changes the local coordinate system of the parabola.
void gp_Parab::Transform | ( | const gp_Trsf & | T | ) |
Transforms a parabola with the transformation T from class Trsf.
void gp_Parab::Translate | ( | const gp_Vec & | V | ) |
Translates a parabola in the direction of the vector V. The magnitude of the translation is the vector's magnitude.
Translates a parabola from the point P1 to the point P2.
gp_Ax1 gp_Parab::XAxis | ( | ) | const |
Returns the symmetry axis of the parabola. The location point of the axis is the vertex of the parabola.
gp_Ax1 gp_Parab::YAxis | ( | ) | const |
It is an axis parallel to the directrix of the parabola. The location point of this axis is the vertex of the parabola.