Provides the bisector between a point and a curve. the curvature on the curve has to be monoton. the point can't be on the curve exept at the extremities. More...

#include <Bisector_BisecPC.hxx>

Inheritance diagram for Bisector_BisecPC:

[legend]

Public Member Functions
	Bisector_BisecPC ()

	Bisector_BisecPC (const Handle< Geom2d_Curve > &Cu, const gp_Pnt2d &P, const Standard_Real Side, const Standard_Real DistMax=500)
	Constructs the bisector between the point.

	Bisector_BisecPC (const Handle< Geom2d_Curve > &Cu, const gp_Pnt2d &P, const Standard_Real Side, const Standard_Real UMin, const Standard_Real UMax)
	Constructs the bisector between the point.

void	Perform (const Handle< Geom2d_Curve > &Cu, const gp_Pnt2d &P, const Standard_Real Side, const Standard_Real DistMax=500)
	Construct the bisector between the point.

Standard_Boolean	IsExtendAtStart () const override
	Returns True if the bisector is extended at start.

Standard_Boolean	IsExtendAtEnd () const override
	Returns True if the bisector is extended at end.

void	Reverse () override
	Changes the direction of parametrization of <me>. The orientation of the curve is modified. If the curve is bounded the StartPoint of the initial curve becomes the EndPoint of the reversed curve and the EndPoint of the initial curve becomes the StartPoint of the reversed curve.

Standard_Real	ReversedParameter (const Standard_Real U) const override
	Returns the parameter on the reversed curve for the point of parameter U on <me>.

Handle< Geom2d_Geometry >	Copy () const override

void	Transform (const gp_Trsf2d &T) override
	Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations.

Standard_Boolean	IsCN (const Standard_Integer N) const override
	Returns the order of continuity of the curve. Raised if N < 0.

Standard_Real	FirstParameter () const override
	Value of the first parameter.

Standard_Real	LastParameter () const override
	Value of the last parameter.

GeomAbs_Shape	Continuity () const override
	It is the global continuity of the 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.

Standard_Integer	NbIntervals () const override
	If necessary, breaks the curve in intervals of continuity <C1>. And returns the number of intervals.

Standard_Real	IntervalFirst (const Standard_Integer Index) const override
	Returns the first parameter of the current interval.

Standard_Real	IntervalLast (const Standard_Integer Index) const override
	Returns the last parameter of the current interval.

GeomAbs_Shape	IntervalContinuity () const

Standard_Boolean	IsClosed () const override
	Returns true if the curve is closed. Examples : Some curves such as circle are always closed, others such as line are never closed (by definition). Some Curves such as OffsetCurve can be closed or not. These curves are considered as closed if the distance between the first point and the last point of the curve is lower or equal to the Resolution from package gp which is a fixed criterion independent of the application.

Standard_Boolean	IsPeriodic () const override
	Returns true if the parameter of the curve is periodic. It is possible only if the curve is closed and if the following relation is satisfied : for each parametric value U the distance between the point P(u) and the point P (u + T) is lower or equal to Resolution from package gp, T is the period and must be a constant. There are three possibilities : . the curve is never periodic by definition (SegmentLine) . the curve is always periodic by definition (Circle) . the curve can be defined as periodic (BSpline). In this case a function SetPeriodic allows you to give the shape of the curve. The general rule for this case is : if a curve can be periodic or not the default periodicity set is non periodic and you have to turn (explicitly) the curve into a periodic curve if you want the curve to be periodic.

Standard_Real	Distance (const Standard_Real U) const
	Returns the distance between the point of parameter U on <me> and my point or my curve.

void	D0 (const Standard_Real U, gp_Pnt2d &P) const override
	Returns in P the point of parameter U. 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.

void	D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V) const override
	Returns the point P of parameter U and the first derivative V1. Raised if the continuity of the curve is not C1.

void	D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const override
	Returns the point P of parameter U, the first and second derivatives V1 and V2. Raised if the continuity of the curve is not C2.

void	D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &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_Vec2d	DN (const Standard_Real U, const Standard_Integer N) const override
	For the point of parameter U of this curve, computes the vector corresponding to the Nth derivative. Exceptions StdFail_UndefinedDerivative if:

void	Dump (const Standard_Integer Deep=0, const Standard_Integer Offset=0) const

Standard_Real	LinkBisCurve (const Standard_Real U) const
	Returns the parameter on the curve1 of the projection of the point of parameter U on <me>.

Standard_Real	LinkCurveBis (const Standard_Real U) const
	Returns the reciproque of LinkBisCurve.

Standard_Real	Parameter (const gp_Pnt2d &P) const override
	Returns the parameter on <me> corresponding to.

Standard_Boolean	IsEmpty () const
	Returns <True> if the bisector is empty.

Public Member Functions inherited from Geom2d_Curve
virtual Standard_Real	TransformedParameter (const Standard_Real U, const gp_Trsf2d &T) const
	Computes the parameter on the curve transformed by T for the point of parameter U on this curve. Note: this function generally returns U but it can be redefined (for example, on a line).

virtual Standard_Real	ParametricTransformation (const gp_Trsf2d &T) const
	Returns the coefficient required to compute the parametric transformation of this curve when transformation T is applied. This coefficient is the ratio between the parameter of a point on this curve and the parameter of the transformed point on the new curve transformed by T. Note: this function generally returns 1. but it can be redefined (for example, on a line).

Handle< Geom2d_Curve >	Reversed () const
	Creates a reversed duplicate Changes the orientation of this curve. The first and last parameters are not changed, but the parametric direction of the curve is reversed. If the curve is bounded:

virtual Standard_Real	Period () const
	Returns the period of this curve. raises if the curve is not periodic.

gp_Pnt2d	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.

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 Geom2d_Geometry
void	Mirror (const gp_Pnt2d &P)
	Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry and assigns the result to this geometric object.

void	Mirror (const gp_Ax2d &A)
	Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry.

void	Rotate (const gp_Pnt2d &P, const Standard_Real Ang)
	Rotates a Geometry. P is the center of the rotation. Ang is the angular value of the rotation in radians.

void	Scale (const gp_Pnt2d &P, const Standard_Real S)
	Scales a Geometry. S is the scaling value.

void	Translate (const gp_Vec2d &V)
	Translates a Geometry. V is the vector of the translation.

void	Translate (const gp_Pnt2d &P1, const gp_Pnt2d &P2)
	Translates a Geometry from the point P1 to the point P2.

Handle< Geom2d_Geometry >	Mirrored (const gp_Pnt2d &P) const

Handle< Geom2d_Geometry >	Mirrored (const gp_Ax2d &A) const

Handle< Geom2d_Geometry >	Rotated (const gp_Pnt2d &P, const Standard_Real Ang) const

Handle< Geom2d_Geometry >	Scaled (const gp_Pnt2d &P, const Standard_Real S) const

Handle< Geom2d_Geometry >	Transformed (const gp_Trsf2d &T) const

Handle< Geom2d_Geometry >	Translated (const gp_Vec2d &V) const

Handle< Geom2d_Geometry >	Translated (const gp_Pnt2d &P1, const gp_Pnt2d &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

Provides the bisector between a point and a curve. the curvature on the curve has to be monoton. the point can't be on the curve exept at the extremities.

Constructor & Destructor Documentation

◆ Bisector_BisecPC() [1/3]

Bisector_BisecPC::Bisector_BisecPC ( )

◆ Bisector_BisecPC() [2/3]

Bisector_BisecPC::Bisector_BisecPC	(	const Handle< Geom2d_Curve > &	Cu,
		const gp_Pnt2d &	P,
		const Standard_Real	Side,
		const Standard_Real	DistMax = `500`
	)

Constructs the bisector between the point.

and the curve <Cu>. <Side> = 1. if the bisector curve is on the Left of <Cu> else <Side> = -1. <DistMax> is used to trim the bisector.The distance between the points of the bisector and <Cu> is smaller than <DistMax>.

◆ Bisector_BisecPC() [3/3]

Bisector_BisecPC::Bisector_BisecPC	(	const Handle< Geom2d_Curve > &	Cu,
		const gp_Pnt2d &	P,
		const Standard_Real	Side,
		const Standard_Real	UMin,
		const Standard_Real	UMax
	)

Constructs the bisector between the point.

and the curve <Cu> Trimmed by <UMin> and <UMax> <Side> = 1. if the bisector curve is on the Left of <Cu> else <Side> = -1. Warning: the bisector is supposed all over defined between <UMin> and <UMax>.

Member Function Documentation

◆ Continuity()

GeomAbs_Shape Bisector_BisecPC::Continuity ( ) const

overridevirtual

It is the global continuity of the 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.

Implements Geom2d_Curve.

◆ Copy()

Handle< Geom2d_Geometry > Bisector_BisecPC::Copy ( ) const

overridevirtual

Implements Geom2d_Geometry.

◆ D0()

void Bisector_BisecPC::D0	(	const Standard_Real	U,
		gp_Pnt2d &	P
	)		const

overridevirtual

Returns in P the point of parameter U. 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.

Raised only for the "OffsetCurve" if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel.

Implements Geom2d_Curve.

◆ D1()

void Bisector_BisecPC::D1	(	const Standard_Real	U,
		gp_Pnt2d &	P,
		gp_Vec2d &	V1
	)		const

overridevirtual

Returns the point P of parameter U and the first derivative V1. Raised if the continuity of the curve is not C1.

Implements Geom2d_Curve.

◆ D2()

void Bisector_BisecPC::D2	(	const Standard_Real	U,
		gp_Pnt2d &	P,
		gp_Vec2d &	V1,
		gp_Vec2d &	V2
	)		const

overridevirtual

Returns the point P of parameter U, the first and second derivatives V1 and V2. Raised if the continuity of the curve is not C2.

Implements Geom2d_Curve.

◆ D3()

void Bisector_BisecPC::D3	(	const Standard_Real	U,
		gp_Pnt2d &	P,
		gp_Vec2d &	V1,
		gp_Vec2d &	V2,
		gp_Vec2d &	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 Geom2d_Curve.

◆ Distance()

Standard_Real Bisector_BisecPC::Distance ( const Standard_Real U ) const

Returns the distance between the point of parameter U on <me> and my point or my curve.

◆ DN()

gp_Vec2d Bisector_BisecPC::DN	(	const Standard_Real	U,
		const Standard_Integer	N
	)		const

overridevirtual

For the point of parameter U of this curve, computes the vector corresponding to the Nth derivative. Exceptions StdFail_UndefinedDerivative if:

the continuity of the curve is not "CN", or
the derivative vector cannot be computed easily; this is the case with specific types of curve (for example, a rational BSpline curve where N is greater than 3). Standard_RangeError if N is less than 1.

Implements Geom2d_Curve.

◆ Dump()

void Bisector_BisecPC::Dump	(	const Standard_Integer	Deep = `0`,
		const Standard_Integer	Offset = `0`
	)		const

◆ FirstParameter()

Standard_Real Bisector_BisecPC::FirstParameter ( ) const

overridevirtual

Value of the first parameter.

Implements Geom2d_Curve.

◆ IntervalContinuity()

GeomAbs_Shape Bisector_BisecPC::IntervalContinuity ( ) const

◆ IntervalFirst()

Standard_Real Bisector_BisecPC::IntervalFirst ( const Standard_Integer Index ) const

overridevirtual

Returns the first parameter of the current interval.

Implements Bisector_Curve.

◆ IntervalLast()

Standard_Real Bisector_BisecPC::IntervalLast ( const Standard_Integer Index ) const

overridevirtual

Returns the last parameter of the current interval.

Implements Bisector_Curve.

◆ IsClosed()

Standard_Boolean Bisector_BisecPC::IsClosed ( ) const

overridevirtual

Returns true if the curve is closed. Examples : Some curves such as circle are always closed, others such as line are never closed (by definition). Some Curves such as OffsetCurve can be closed or not. These curves are considered as closed if the distance between the first point and the last point of the curve is lower or equal to the Resolution from package gp which is a fixed criterion independent of the application.

Implements Geom2d_Curve.

◆ IsCN()

Standard_Boolean Bisector_BisecPC::IsCN ( const Standard_Integer N ) const

overridevirtual

Returns the order of continuity of the curve. Raised if N < 0.

Implements Geom2d_Curve.

◆ IsEmpty()

Standard_Boolean Bisector_BisecPC::IsEmpty ( ) const

Returns <True> if the bisector is empty.

◆ IsExtendAtEnd()

Standard_Boolean Bisector_BisecPC::IsExtendAtEnd ( ) const

overridevirtual

Returns True if the bisector is extended at end.

Implements Bisector_Curve.

◆ IsExtendAtStart()

Standard_Boolean Bisector_BisecPC::IsExtendAtStart ( ) const

overridevirtual

Returns True if the bisector is extended at start.

Implements Bisector_Curve.

◆ IsPeriodic()

Standard_Boolean Bisector_BisecPC::IsPeriodic ( ) const

overridevirtual

Returns true if the parameter of the curve is periodic. It is possible only if the curve is closed and if the following relation is satisfied : for each parametric value U the distance between the point P(u) and the point P (u + T) is lower or equal to Resolution from package gp, T is the period and must be a constant. There are three possibilities : . the curve is never periodic by definition (SegmentLine) . the curve is always periodic by definition (Circle) . the curve can be defined as periodic (BSpline). In this case a function SetPeriodic allows you to give the shape of the curve. The general rule for this case is : if a curve can be periodic or not the default periodicity set is non periodic and you have to turn (explicitly) the curve into a periodic curve if you want the curve to be periodic.

Implements Geom2d_Curve.

◆ LastParameter()

Standard_Real Bisector_BisecPC::LastParameter ( ) const

overridevirtual

Value of the last parameter.

Implements Geom2d_Curve.

◆ LinkBisCurve()

Standard_Real Bisector_BisecPC::LinkBisCurve ( const Standard_Real U ) const

Returns the parameter on the curve1 of the projection of the point of parameter U on <me>.

◆ LinkCurveBis()

Standard_Real Bisector_BisecPC::LinkCurveBis ( const Standard_Real U ) const

Returns the reciproque of LinkBisCurve.

◆ NbIntervals()

Standard_Integer Bisector_BisecPC::NbIntervals ( ) const

overridevirtual

If necessary, breaks the curve in intervals of continuity <C1>. And returns the number of intervals.

Implements Bisector_Curve.

◆ Parameter()

Standard_Real Bisector_BisecPC::Parameter ( const gp_Pnt2d & P ) const

overridevirtual

Returns the parameter on <me> corresponding to.

.

Implements Bisector_Curve.

◆ Perform()

void Bisector_BisecPC::Perform	(	const Handle< Geom2d_Curve > &	Cu,
		const gp_Pnt2d &	P,
		const Standard_Real	Side,
		const Standard_Real	DistMax = `500`
	)

Construct the bisector between the point.

and the curve <Cu>. <Side> = 1. if the bisector curve is on the Left of <Cu> else <Side> = -1. <DistMax> is used to trim the bisector.The distance between the points of the bisector and <Cu> is smaller than <DistMax>.

◆ Reverse()

void Bisector_BisecPC::Reverse ( )

overridevirtual

Changes the direction of parametrization of <me>. The orientation of the curve is modified. If the curve is bounded the StartPoint of the initial curve becomes the EndPoint of the reversed curve and the EndPoint of the initial curve becomes the StartPoint of the reversed curve.

Implements Geom2d_Curve.

◆ ReversedParameter()

Standard_Real Bisector_BisecPC::ReversedParameter ( const Standard_Real U ) const

overridevirtual

Returns the parameter on the reversed curve for the point of parameter U on <me>.

Implements Geom2d_Curve.

◆ Transform()

void Bisector_BisecPC::Transform ( const gp_Trsf2d & T )

overridevirtual

Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations.

Implements Geom2d_Geometry.

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

Bisector_BisecPC.hxx

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ Bisector_BisecPC() [1/3]

◆ Bisector_BisecPC() [2/3]

◆ Bisector_BisecPC() [3/3]

Member Function Documentation

◆ Continuity()

◆ Copy()

◆ D0()

◆ D1()

◆ D2()

◆ D3()

◆ Distance()

◆ DN()

◆ Dump()

◆ FirstParameter()

◆ IntervalContinuity()

◆ IntervalFirst()

◆ IntervalLast()

◆ IsClosed()

◆ IsCN()

◆ IsEmpty()

◆ IsExtendAtEnd()

◆ IsExtendAtStart()

◆ IsPeriodic()

◆ LastParameter()

◆ LinkBisCurve()

◆ LinkCurveBis()

◆ NbIntervals()

◆ Parameter()

◆ Perform()

◆ Reverse()

◆ ReversedParameter()

◆ Transform()