#include <Geom2d_OffsetCurve.hxx>
Inheritance diagram for Geom2d_OffsetCurve:
Public Member Functions | |
Standard_EXPORT | Geom2d_OffsetCurve (const Handle(Geom2d_Curve)&C, const Standard_Real Offset) |
Constructs a curve offset from the basis curve C, where Offset is the distance between the offset curve and the basis curve at any point. A point on the offset curve is built by measuring the offset value along a normal vector at a point on C. This normal vector is obtained by rotating the vector tangential to C at 90 degrees in the anti-trigonometric sense. The side of C on which the offset value is measured is indicated by this normal vector if Offset is positive, or in the inverse sense if Offset is negative. Warnings : In this package the entities are not shared. The OffsetCurve is built with a copy of the curve C. So when C is modified the OffsetCurve is not modified Warning! ConstructionError raised if the basis curve C is not at least C1. No check is done to know if ||V^Z|| != 0.0 at any point. . | |
Standard_EXPORT void | Reverse () |
Changes the direction of parametrization of <me>. As a result: - the basis curve is reversed, - the start point of the initial curve becomes the end point of the reversed curve, - the end point of the initial curve becomes the start point of the reversed curve, and - the first and last parameters are recomputed. . | |
Standard_EXPORT Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed curve for the point of parameter U on this offset curve. . | |
Standard_EXPORT void | SetBasisCurve (const Handle(Geom2d_Curve)&C) |
Changes this offset curve by assigning C as the basis curve from which it is built. Exceptions Standard_ConstructionError if the curve C is not at least "C1" continuous. . | |
Standard_EXPORT void | SetOffsetValue (const Standard_Real D) |
Changes this offset curve by assigning D as the offset value. . | |
Standard_EXPORT Handle_Geom2d_Curve | BasisCurve () const |
Returns the basis curve of this offset curve. The basis curve can be an offset curve. . | |
Standard_EXPORT GeomAbs_Shape | Continuity () const |
Continuity of the Offset curve : C0 : only geometric continuity, C1 : continuity of the first derivative all along the Curve, C2 : continuity of the second derivative all along the Curve, C3 : continuity of the third derivative all along the Curve, G1 : tangency continuity all along the Curve, G2 : curvature continuity all along the Curve, CN : the order of continuity is infinite. Warnings : Returns the continuity of the basis curve - 1. The offset curve must have a unique normal direction defined at any point. //! Value and derivatives Warnings : The exception UndefinedValue or UndefinedDerivative is raised if it is not possible to compute a unique offset direction. If T is the first derivative with not null length and Z the direction normal to the plane of the curve, the relation ||T(U) ^ Z|| != 0 must be satisfied to evaluate the offset curve. No check is done at the creation time and we suppose in this package that the offset curve is well defined. . | |
Standard_EXPORT void | D0 (const Standard_Real U, gp_Pnt2d &P) const |
Warning! this should not be called if the basis curve is not at least C1. Nevertheless if used on portion where the curve is C1, it is OK . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const |
Warning! this should not be called if the continuity of the basis curve is not C2. Nevertheless, it's OK to use it on portion where the curve is C2 . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const |
Warning! This should not be called if the continuity of the basis curve is not C3. Nevertheless, it's OK to use it on portion where the curve is C3 . | |
Standard_EXPORT void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const |
Warning! This should not be called if the continuity of the basis curve is not C4. Nevertheless, it's OK to use it on portion where the curve is C4 . | |
Standard_EXPORT gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const |
The returned vector gives the value of the derivative for the order of derivation N. Warning! this should not be called raises UndefunedDerivative if the continuity of the basis curve is not CN+1. Nevertheless, it's OK to use it on portion where the curve is CN+1 raises RangeError if N < 1. raises NotImplemented if N > 3. //! The following functions compute the value and derivatives on the offset curve and returns the derivatives on the basis curve too. The computation of the value and derivatives on the basis curve are used to evaluate the offset curve Warnings : The exception UndefinedValue or UndefinedDerivative is raised if it is not possible to compute a unique offset direction. . | |
Standard_EXPORT void | Value (const Standard_Real U, gp_Pnt2d &P, gp_Pnt2d &Pbasis, gp_Vec2d &V1basis) const |
Warning! this should not be called if the basis curve is not at least C1. Nevertheless if used on portion where the curve is C1, it is OK . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Pnt2d &Pbasis, gp_Vec2d &V1, gp_Vec2d &V1basis, gp_Vec2d &V2basis) const |
Warning! this should not be called if the continuity of the basis curve is not C1. Nevertheless, it's OK to use it on portion where the curve is C1 . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Pnt2d &Pbasis, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V1basis, gp_Vec2d &V2basis, gp_Vec2d &V3basis) const |
Warning! this should not be called if the continuity of the basis curve is not C3. Nevertheless, it's OK to use it on portion where the curve is C3 . | |
Standard_EXPORT Standard_Real | FirstParameter () const |
Returns the value of the first parameter. Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite . | |
Standard_EXPORT Standard_Real | LastParameter () const |
Returns the value of the first or last parameter of this offset curve. The first parameter corresponds to the start point of the curve. The last parameter corresponds to the end point. Note: the first and last parameters of this offset curve are also the ones of its basis curve. . | |
Standard_EXPORT Standard_Real | Offset () const |
Returns the offset value of this offset curve. . | |
Standard_EXPORT Standard_Boolean | IsClosed () const |
Returns True if the distance between the start point and the end point of the curve is lower or equal to Resolution from package gp. . | |
Standard_EXPORT Standard_Boolean | IsCN (const Standard_Integer N) const |
Is the order of continuity of the curve N ? Warnings : This method answer True if the continuity of the basis curve is N + 1. We suppose in this class that a normal direction to the basis curve (used to compute the offset curve) is defined at any point on the basis curve. //! Raised if N < 0. . | |
Standard_EXPORT Standard_Boolean | IsPeriodic () const |
Is the parametrization of a curve is periodic ? If the basis curve is a circle or an ellipse the corresponding OffsetCurve is periodic. If the basis curve can't be periodic (for example BezierCurve) the OffsetCurve can't be periodic. . | |
virtual Standard_EXPORT Standard_Real | Period () const |
Returns the period of this offset curve, i.e. the period of the basis curve of this offset curve. Exceptions Standard_NoSuchObject if the basis curve is not periodic. . | |
Standard_EXPORT void | Transform (const gp_Trsf2d &T) |
Applies the transformation T to this offset curve. Note: the basis curve is also modified. . | |
virtual Standard_EXPORT Standard_Real | TransformedParameter (const Standard_Real U, const gp_Trsf2d &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 calls the basis curve method. . | |
virtual Standard_EXPORT Standard_Real | ParametricTransformation (const gp_Trsf2d &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 calls the basis curve method. . | |
Standard_EXPORT Handle_Geom2d_Geometry | Copy () const |
Creates a new object, which is a copy of this offset curve. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Private Attributes | |
Handle_Geom2d_Curve | basisCurve |
Standard_Real | offsetValue |
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Implements Geom2d_Curve. |
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Implements Geom2d_Geometry. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Reimplemented from Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Reimplemented from Geom2d_Curve. |
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Reimplemented from Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Geometry. |
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Reimplemented from Geom2d_Curve. |
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