Geom_OffsetCurve Class Reference

This class implements the basis services for an offset curve in 3D space. The Offset curve in this package can be a self intersecting curve even if the basis curve does not self-intersect. The self intersecting portions are not deleted at the construction time. An offset curve is a curve at constant distance (Offset) from a basis curve in a reference direction V. The offset curve takes its parametrization from the basis curve. The Offset curve is in the direction of the normal N defined with the cross product T^V, where the vector T is given by the first derivative on the basis curve with non zero length. The distance offset may be positive or negative to indicate the preferred side of the curve : . distance offset >0 => the curve is in the direction of N . distance offset <0 => the curve is in the direction of - N. More...

#include <Geom_OffsetCurve.hxx>

Inheritance diagram for Geom_OffsetCurve:

Public Member Functions
	Geom_OffsetCurve (const Handle< Geom_Curve > &C, const Standard_Real Offset, const gp_Dir &V, const Standard_Boolean isNotCheckC0=Standard_False)
	C is the basis curve, Offset is the distance between <me> and the basis curve at any point. V defines the fixed reference direction (offset direction). If P is a point on the basis curve and T the first derivative with non zero length at this point, the corresponding point on the offset curve is in the direction of the vector-product N = V ^ T where N is a unitary vector. If isNotCheckC0 = TRUE checking if basis curve has C0-continuity is not made. 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.
void	Reverse () override
	Changes the orientation of this offset curve. As a result:
Standard_Real	ReversedParameter (const Standard_Real U) const override
	Computes the parameter on the reversed curve for the point of parameter U on this offset curve.
void	SetBasisCurve (const Handle< Geom_Curve > &C, const Standard_Boolean isNotCheckC0=Standard_False)
	Changes this offset curve by assigning C as the basis curve from which it is built. If isNotCheckC0 = TRUE checking if basis curve has C0-continuity is not made. Exceptions Standard_ConstructionError if the curve C is not at least "C1" continuous.
void	SetDirection (const gp_Dir &V)
	Changes this offset curve by assigning V as the reference vector used to compute the offset direction.
void	SetOffsetValue (const Standard_Real D)
	Changes this offset curve by assigning D as the offset value.
Handle< Geom_Curve >	BasisCurve () const
	Returns the basis curve of this offset curve. Note: The basis curve can be an offset curve.
GeomAbs_Shape	Continuity () const override
	Returns the global continuity of this offset curve as a value of the GeomAbs_Shape enumeration. The degree of continuity of this offset curve is equal to the degree of continuity of the basis curve minus 1. 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 offset direction defined at any point.
const gp_Dir &	Direction () const
	Returns the reference vector of this offset curve. 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 V the offset direction the relation ||T(U) ^ V|| != 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.
void	D0 (const Standard_Real U, gp_Pnt &P) const override
	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.
void	D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1) const override
	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.
void	D2 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2) const override
	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.
void	D3 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const override
	Returns the point P of parameter U, the first, the second and the third derivative. Raised if the continuity of the curve is not C3.
gp_Vec	DN (const Standard_Real U, const Standard_Integer N) const override
	The returned vector gives the value of the derivative for the order of derivation N.
Standard_Real	FirstParameter () const override
	Returns the value of the first parameter of this offset curve. The first parameter corresponds to the start point of the curve. Note: the first and last parameters of this offset curve are also the ones of its basis curve.
Standard_Real	LastParameter () const override
	Returns the value of the last parameter of this offset 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_Real	Offset () const
	Returns the offset value of this offset curve.
Standard_Boolean	IsClosed () const override
	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_Boolean	IsCN (const Standard_Integer N) const override
	Returns true if the degree of continuity of the basis curve of this offset curve is at least N + 1. 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_Boolean	IsPeriodic () const override
	Returns true if this offset curve is periodic, i.e. if the basis curve of this offset curve is periodic.
virtual Standard_Real	Period () const override
	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.
void	Transform (const gp_Trsf &T) override
	Applies the transformation T to this offset curve. Note: the basis curve is also modified.
virtual Standard_Real	TransformedParameter (const Standard_Real U, const gp_Trsf &T) const override
	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_Real	ParametricTransformation (const gp_Trsf &T) const override
	Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>.
Handle< Geom_Geometry >	Copy () const override
	Creates a new object which is a copy of this offset curve.
GeomAbs_Shape	GetBasisCurveContinuity () const
	Returns continuity of the basis curve.
virtual void	DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override
	Dumps the content of me into the stream.
Public Member Functions inherited from Geom_Curve
Handle< Geom_Curve >	Reversed () const
	Returns a copy of <me> reversed.
gp_Pnt	Value (const Standard_Real U) const
	Computes the point of parameter U on <me>. If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. it is implemented with D0.
Public Member Functions inherited from Geom_Geometry
void	Mirror (const gp_Pnt &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry.
void	Mirror (const gp_Ax1 &A1)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry.
void	Mirror (const gp_Ax2 &A2)
	Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection).
void	Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
	Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.
void	Scale (const gp_Pnt &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value.
void	Translate (const gp_Vec &V)
	Translates a Geometry. V is the vector of the translation.
void	Translate (const gp_Pnt &P1, const gp_Pnt &P2)
	Translates a Geometry from the point P1 to the point P2.
Handle< Geom_Geometry >	Mirrored (const gp_Pnt &P) const
Handle< Geom_Geometry >	Mirrored (const gp_Ax1 &A1) const
Handle< Geom_Geometry >	Mirrored (const gp_Ax2 &A2) const
Handle< Geom_Geometry >	Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const
Handle< Geom_Geometry >	Scaled (const gp_Pnt &P, const Standard_Real S) const
Handle< Geom_Geometry >	Transformed (const gp_Trsf &T) const
Handle< Geom_Geometry >	Translated (const gp_Vec &V) const
Handle< Geom_Geometry >	Translated (const gp_Pnt &P1, const gp_Pnt &P2) const
Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor.
	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing.
Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter.
virtual	~Standard_Transient ()
	Destructor must be virtual.
virtual const opencascade::handle< Standard_Type > &	DynamicType () const
	Returns a type descriptor about this object.
Standard_Boolean	IsInstance (const opencascade::handle< Standard_Type > &theType) const
	Returns a true value if this is an instance of Type.
Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName.
Standard_Boolean	IsKind (const opencascade::handle< Standard_Type > &theType) const
	Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism.
Standard_Boolean	IsKind (const Standard_CString theTypeName) const
	Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism.
Standard_Transient *	This () const
	Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero.
Standard_Integer	GetRefCount () const noexcept
	Get the reference counter of this object.
void	IncrementRefCounter () noexcept
	Increments the reference counter of this object.
Standard_Integer	DecrementRefCounter () noexcept
	Decrements the reference counter of this object; returns the decremented value.
virtual void	Delete () const
	Memory deallocator for transient classes.

Additional Inherited Members
Public Types inherited from Standard_Transient
typedef void	base_type
	Returns a type descriptor about this object.
Static Public Member Functions inherited from Standard_Transient
static constexpr const char *	get_type_name ()
	Returns a type descriptor about this object.
static const opencascade::handle< Standard_Type > &	get_type_descriptor ()
	Returns type descriptor of Standard_Transient class.

Detailed Description

This class implements the basis services for an offset curve in 3D space. The Offset curve in this package can be a self intersecting curve even if the basis curve does not self-intersect. The self intersecting portions are not deleted at the construction time. An offset curve is a curve at constant distance (Offset) from a basis curve in a reference direction V. The offset curve takes its parametrization from the basis curve. The Offset curve is in the direction of the normal N defined with the cross product T^V, where the vector T is given by the first derivative on the basis curve with non zero length. The distance offset may be positive or negative to indicate the preferred side of the curve : . distance offset >0 => the curve is in the direction of N . distance offset <0 => the curve is in the direction of - N.

On the Offset curve : Value (U) = BasisCurve.Value(U) + (Offset * (T ^ V)) / ||T ^ V||

At any point the Offset direction V must not be parallel to the vector T and the vector T must not have null length else the offset curve is not defined. So the offset curve has not the same continuity as the basis curve.

Warnings :

In this package we suppose that the continuity of the offset curve is one degree less than the continuity of the basis curve and we don't check that at any point ||T^V|| != 0.0

So to evaluate the curve it is better to check that the offset curve is well defined at any point because an exception could be raised. The check is not done in this package at the creation of the offset curve because the control needs the use of an algorithm which cannot be implemented in this package.

The OffsetCurve is closed if the first point and the last point are the same (The distance between these two points is lower or equal to the Resolution sea package gp) . The OffsetCurve can be closed even if the basis curve is not closed.

Constructor & Destructor Documentation

Geom_OffsetCurve()

Geom_OffsetCurve::Geom_OffsetCurve	(	const Handle< Geom_Curve > &	C,
		const Standard_Real	Offset,
		const gp_Dir &	V,
		const Standard_Boolean	isNotCheckC0 = Standard_False )

C is the basis curve, Offset is the distance between <me> and the basis curve at any point. V defines the fixed reference direction (offset direction). If P is a point on the basis curve and T the first derivative with non zero length at this point, the corresponding point on the offset curve is in the direction of the vector-product N = V ^ T where N is a unitary vector. If isNotCheckC0 = TRUE checking if basis curve has C0-continuity is not made. 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.

Raised if the basis curve C is not at least C1. Warnings : No check is done to know if ||V^T|| != 0.0 at any point.

Member Function Documentation

BasisCurve()

Handle< Geom_Curve > Geom_OffsetCurve::BasisCurve

(

)

const

Returns the basis curve of this offset curve. Note: The basis curve can be an offset curve.

Continuity()

GeomAbs_Shape Geom_OffsetCurve::Continuity ( ) const

overridevirtual

Returns the global continuity of this offset curve as a value of the GeomAbs_Shape enumeration. The degree of continuity of this offset curve is equal to the degree of continuity of the basis curve minus 1. 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 offset direction defined at any point.

Implements Geom_Curve.

Copy()

Handle< Geom_Geometry > Geom_OffsetCurve::Copy ( ) const

overridevirtual

Creates a new object which is a copy of this offset curve.

Implements Geom_Geometry.

D0()

void Geom_OffsetCurve::D0 ( const Standard_Real U, gp_Pnt & P ) const

overridevirtual

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.

Implements Geom_Curve.

D1()

void Geom_OffsetCurve::D1 ( const Standard_Real U, gp_Pnt & P, gp_Vec & V1 ) const

overridevirtual

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.

Implements Geom_Curve.

D2()

void Geom_OffsetCurve::D2 ( const Standard_Real U, gp_Pnt & P, gp_Vec & V1, gp_Vec & V2 ) const

overridevirtual

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.

Implements Geom_Curve.

D3()

void Geom_OffsetCurve::D3 ( const Standard_Real U, gp_Pnt & P, gp_Vec & V1, gp_Vec & V2, gp_Vec & V3 ) const

overridevirtual

Returns the point P of parameter U, the first, the second and the third derivative. Raised if the continuity of the curve is not C3.

Implements Geom_Curve.

Direction()

const gp_Dir & Geom_OffsetCurve::Direction

(

)

const

Returns the reference vector of this offset curve. 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 V the offset direction the relation ||T(U) ^ V|| != 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.

DN()

gp_Vec Geom_OffsetCurve::DN ( const Standard_Real U, const Standard_Integer N ) const

overridevirtual

The returned vector gives the value of the derivative for the order of derivation N.

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

Warning: The exception UndefinedValue or UndefinedDerivative is raised if it is not possible to compute a unique offset direction. Raised if N < 1.

Implements Geom_Curve.

DumpJson()

virtual void Geom_OffsetCurve::DumpJson ( Standard_OStream & theOStream, Standard_Integer theDepth = -1 ) const

overridevirtual

Dumps the content of me into the stream.

Reimplemented from Geom_Curve.

FirstParameter()

Standard_Real Geom_OffsetCurve::FirstParameter ( ) const

overridevirtual

Returns the value of the first parameter of this offset curve. The first parameter corresponds to the start point of the curve. Note: the first and last parameters of this offset curve are also the ones of its basis curve.

Implements Geom_Curve.

GetBasisCurveContinuity()

GeomAbs_Shape Geom_OffsetCurve::GetBasisCurveContinuity

(

)

const

Returns continuity of the basis curve.

IsClosed()

Standard_Boolean Geom_OffsetCurve::IsClosed ( ) const

overridevirtual

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.

Implements Geom_Curve.

IsCN()

Standard_Boolean Geom_OffsetCurve::IsCN ( const Standard_Integer N ) const

overridevirtual

Returns true if the degree of continuity of the basis curve of this offset curve is at least N + 1. 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.

Implements Geom_Curve.

IsPeriodic()

Standard_Boolean Geom_OffsetCurve::IsPeriodic ( ) const

overridevirtual

Returns true if this offset curve is periodic, i.e. if the basis curve of this offset curve is periodic.

Implements Geom_Curve.

LastParameter()

Standard_Real Geom_OffsetCurve::LastParameter ( ) const

overridevirtual

Returns the value of the last parameter of this offset 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.

Implements Geom_Curve.

Offset()

Standard_Real Geom_OffsetCurve::Offset

(

)

const

Returns the offset value of this offset curve.

ParametricTransformation()

virtual Standard_Real Geom_OffsetCurve::ParametricTransformation ( const gp_Trsf & T ) const

overridevirtual

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.

Reimplemented from Geom_Curve.

Period()

virtual Standard_Real Geom_OffsetCurve::Period ( ) const

overridevirtual

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.

Reimplemented from Geom_Curve.

Reverse()

void Geom_OffsetCurve::Reverse ( )

overridevirtual

Changes the orientation of this offset curve. 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.

Implements Geom_Curve.

ReversedParameter()

Standard_Real Geom_OffsetCurve::ReversedParameter ( const Standard_Real U ) const

overridevirtual

Computes the parameter on the reversed curve for the point of parameter U on this offset curve.

Implements Geom_Curve.

SetBasisCurve()

void Geom_OffsetCurve::SetBasisCurve	(	const Handle< Geom_Curve > &	C,
		const Standard_Boolean	isNotCheckC0 = Standard_False )

Changes this offset curve by assigning C as the basis curve from which it is built. If isNotCheckC0 = TRUE checking if basis curve has C0-continuity is not made. Exceptions Standard_ConstructionError if the curve C is not at least "C1" continuous.

SetDirection()

void Geom_OffsetCurve::SetDirection

(

const gp_Dir &

V

)

Changes this offset curve by assigning V as the reference vector used to compute the offset direction.

SetOffsetValue()

void Geom_OffsetCurve::SetOffsetValue

(

const Standard_Real

D

)

Changes this offset curve by assigning D as the offset value.

Transform()

void Geom_OffsetCurve::Transform ( const gp_Trsf & T )

overridevirtual

Applies the transformation T to this offset curve. Note: the basis curve is also modified.

Implements Geom_Geometry.

TransformedParameter()

virtual Standard_Real Geom_OffsetCurve::TransformedParameter ( const Standard_Real U, const gp_Trsf & T ) const

overridevirtual

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.

Reimplemented from Geom_Curve.

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The documentation for this class was generated from the following file:

• Geom_OffsetCurve.hxx