#include <Geom_Parabola.hxx>
Inheritance diagram for Geom_Parabola:
Public Member Functions | |
Standard_EXPORT | Geom_Parabola (const gp_Parab &Prb) |
Creates a parabola from a non transient one. . | |
Standard_EXPORT | Geom_Parabola (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 //! Raised if Focal < 0.0 . | |
Standard_EXPORT | Geom_Parabola (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. . | |
Standard_EXPORT void | SetFocal (const Standard_Real Focal) |
Assigns the value Focal to the focal distance of this parabola. Exceptions Standard_ConstructionError if Focal is negative. . | |
Standard_EXPORT void | SetParab (const gp_Parab &Prb) |
Converts the gp_Parab parabola Prb into this parabola. . | |
Standard_EXPORT gp_Parab | Parab () const |
Returns the non transient parabola from gp with the same geometric properties as <me>. . | |
Standard_EXPORT Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed parabola, for the point of parameter U on this parabola. For a parabola, the returned value is: -U. . | |
Standard_EXPORT Standard_Real | FirstParameter () const |
Returns the value of the first or last parameter of this parabola. This is, respectively: - Standard_Real::RealFirst(), or - Standard_Real::RealLast(). . | |
Standard_EXPORT Standard_Real | LastParameter () const |
Returns the value of the first or last parameter of this parabola. This is, respectively: - Standard_Real::RealFirst(), or - Standard_Real::RealLast(). . | |
Standard_EXPORT Standard_Boolean | IsClosed () const |
Returns False . | |
Standard_EXPORT Standard_Boolean | IsPeriodic () const |
Returns False . | |
Standard_EXPORT gp_Ax1 | Directrix () const |
Computes the directrix of this parabola. This is a line normal to the axis of symmetry, in the plane of this parabola, located on the negative side of its axis of symmetry, at a distance from the apex equal to the focal length. The directrix is returned as an axis (gp_Ax1 object), where the origin is located on the "X Axis" of this parabola. . | |
Standard_EXPORT Standard_Real | Eccentricity () const |
Returns 1. (which is the eccentricity of any parabola). . | |
Standard_EXPORT gp_Pnt | Focus () const |
Computes the focus of this parabola. The focus is on the positive side of the "X Axis" of the local coordinate system of the parabola. . | |
Standard_EXPORT Standard_Real | Focal () const |
Computes the focal distance of this parabola The focal distance is the distance between the apex and the focus of the parabola. . | |
Standard_EXPORT Standard_Real | Parameter () const |
Computes the parameter of this parabola which is the distance between its focus and its directrix. This distance is twice the focal length. If P is the parameter of the parabola, the equation of the parabola in its local coordinate system is: Y**2 = 2.*P*X. . | |
Standard_EXPORT void | D0 (const Standard_Real U, gp_Pnt &P) const |
Returns in P the point of parameter U. If U = 0 the returned point is the origin of the XAxis and the YAxis of the parabola and it is the vertex of the parabola. P = S + F * (U * U * XDir + * U * YDir) where S is the vertex of the parabola, XDir the XDirection and YDir the YDirection of the parabola's local coordinate system. . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1) const |
Returns the point P of parameter U and the first derivative V1. . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2) const |
Returns the point P of parameter U, the first and second derivatives V1 and V2. . | |
Standard_EXPORT void | D3 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const |
Returns the point P of parameter U, the first second and third derivatives V1 V2 and V3. . | |
Standard_EXPORT gp_Vec | DN (const Standard_Real U, const Standard_Integer N) const |
For the point of parameter U of this parabola, computes the vector corresponding to the Nth derivative. Exceptions Standard_RangeError if N is less than 1. . | |
Standard_EXPORT void | Transform (const gp_Trsf &T) |
Applies the transformation T to this parabola. . | |
Standard_EXPORT Standard_Real | TransformedParameter (const Standard_Real U, const gp_Trsf &T) const |
Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>. me->Transformed(T)->Value(me->TransformedParameter(U,T)) is the same point as me->Value(U).Transformed(T) This methods returns <u> * T.ScaleFactor() . | |
Standard_EXPORT Standard_Real | ParametricTransformation (const gp_Trsf &T) const |
Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>. Transformed(T)->Value(U * ParametricTransformation(T)) is the same point as Value(U).Transformed(T) This methods returns T.ScaleFactor() . | |
Standard_EXPORT Handle_Geom_Geometry | Copy () const |
Creates a new object which is a copy of this parabola. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Standard_Real | focalLength |
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Implements Geom_Geometry. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Conic. |
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Implements Geom_Curve. |
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Reimplemented from Geom_Conic. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Implements Geom_Curve. |
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Reimplemented from Geom_Curve. |
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Implements Geom_Conic. |
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Implements Geom_Geometry. |
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Reimplemented from Geom_Curve. |
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