Construct the bisector between two curves.
The curves can intersect only in their extremities.
More...

#include <Bisector_BisecCC.hxx>

Inheritance diagram for Bisector_BisecCC:

[legend]

Public Member Functions
	Bisector_BisecCC ()

	Bisector_BisecCC (const Handle< Geom2d_Curve > &Cu1, const Handle< Geom2d_Curve > &Cu2, const Standard_Real Side1, const Standard_Real Side2, const gp_Pnt2d &Origin, const Standard_Real DistMax=500)
	Constructs the bisector between the curves <Cu1> <br> and <Cu2>. <br> <Side1> (resp <Side2>) = 1 if the bisector curve is on the left of <Cu1> (resp <Cu2>) else <Side1> (resp <Side2>) = -1. the Bisector is trimmed by the Point <Origin>. <DistMax> is used to trim the bisector.The distance between the points of the bisector and <Cu> is smaller than <DistMax>. More...

void	Perform (const Handle< Geom2d_Curve > &Cu1, const Handle< Geom2d_Curve > &Cu2, const Standard_Real Side1, const Standard_Real Side2, const gp_Pnt2d &Origin, const Standard_Real DistMax=500)
	Computes the bisector between the curves <Cu1> <br> and <Cu2>. <br> <Side1> (resp <Side2>) = 1 if the bisector curve is on the left of <Cu1> (resp <Cu2>) else <Side1> (resp <Side2>) = -1. the Bisector is trimmed by the Point <Origin>. <DistMax> is used to trim the bisector.The distance between the points of the bisector and <Cu> is smaller than <DistMax>. More...

Standard_Boolean	IsExtendAtStart () const

Standard_Boolean	IsExtendAtEnd () const

void	Reverse ()
	Changes the direction of parametrization of <me>. The "FirstParameter" and the "LastParameter" are not changed but 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. More...

Standard_Real	ReversedParameter (const Standard_Real U) const
	Computes the parameter on the reversed curve for <br> the point of parameter U on this curve. Note: The point of parameter U on this curve is identical to the point of parameter ReversedParameter(U) on the reversed curve. More...

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

Handle_Bisector_BisecCC	ChangeGuide () const
	The parameter on <me> is linked to the parameter on the first curve. This method creates the same bisector where the curves are inversed. More...

Handle_Geom2d_Geometry	Copy () const

void	Transform (const gp_Trsf2d &T)
	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. More...

Standard_Real	FirstParameter () const
	Returns the value of the first parameter. <br> Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite More...

Standard_Real	LastParameter () const
	Value of the last parameter. <br> Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite More...

GeomAbs_Shape	Continuity () const
	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. More...

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

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

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

GeomAbs_Shape	IntervalContinuity () const

Standard_Boolean	IsClosed () const
	Returns true if the curve is closed. <br> 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 wich is a fixed criterion independant of the application. More...

Standard_Boolean	IsPeriodic () const
	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. More...

gp_Pnt2d	ValueAndDist (const Standard_Real U, Standard_Real &U1, Standard_Real &U2, Standard_Real &Distance) const
	Returns the point of parameter U. Computes the distance between the current point and the two curves I separate. Computes the parameters on each curve corresponding of the projection of the current point. More...

gp_Pnt2d	ValueByInt (const Standard_Real U, Standard_Real &U1, Standard_Real &U2, Standard_Real &Distance) const
	Returns the point of parameter U. Computes the distance between the current point and the two curves I separate. Computes the parameters on each curve corresponding of the projection of the current point. More...

void	D0 (const Standard_Real U, gp_Pnt2d &P) const
	Returns in P the point of parameter U. <br> 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. More...

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

void	D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const
	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. More...

void	D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const
	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. More...

gp_Vec2d	DN (const Standard_Real U, const Standard_Integer N) const
	For the point of parameter U of this curve, computes <br> the vector corresponding to the Nth derivative. Exceptions StdFail_UndefinedDerivative if: More...

Standard_Boolean	IsEmpty () 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>. More...

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

Standard_Real	Parameter (const gp_Pnt2d &P) const

Handle_Geom2d_Curve	Curve (const Standard_Integer IndCurve) const

const Bisector_PolyBis &	Polygon () const

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

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 <br> 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). More...

virtual Standard_Real	ParametricTransformation (const gp_Trsf2d &T) const
	Returns the coefficient required to compute the <br> 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). More...

Handle_Geom2d_Curve	Reversed () const
	Creates a reversed duplicate Changes the orientation of this curve. The first and <br> last parameters are not changed, but the parametric direction of the curve is reversed. If the curve is bounded: More...

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

gp_Pnt2d	Value (const Standard_Real U) const
	Computes the point of parameter U on <me>. <br> 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. 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. More...

Public Member Functions inherited from Geom2d_Geometry
void	Mirror (const gp_Pnt2d &P)
	Performs the symmetrical transformation of a Geometry <br> with respect to the point P which is the center of the symmetry and assigns the result to this geometric object. More...

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

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

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

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

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

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 MMgt_TShared
virtual void	Delete () const
	Memory deallocator for transient classes. More...

Public Member Functions inherited from Standard_Transient
	Standard_Transient ()
	Empty constructor. More...

	Standard_Transient (const Standard_Transient &)
	Copy constructor – does nothing. More...

Standard_Transient &	operator= (const Standard_Transient &)
	Assignment operator, needed to avoid copying reference counter. More...

virtual	~Standard_Transient ()
	Destructor must be virtual. More...

virtual void	ShallowDump (Standard_OStream &) const

virtual const Handle_Standard_Type &	DynamicType () const
	Returns a type information object about this object. More...

Standard_Boolean	IsInstance (const Handle_Standard_Type &theType) const
	Returns a true value if this is an instance of Type. More...

Standard_Boolean	IsInstance (const Standard_CString theTypeName) const
	Returns a true value if this is an instance of TypeName. More...

Standard_Boolean	IsKind (const 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. More...

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. More...

virtual Handle_Standard_Transient	This () const
	Returns a Handle which references this object. Must never be called to objects created in stack. More...

Standard_Integer	GetRefCount () const
	Get the reference counter of this object. More...

Detailed Description

Construct the bisector between two curves.
The curves can intersect only in their extremities.

Constructor & Destructor Documentation

Bisector_BisecCC::Bisector_BisecCC ( )

Bisector_BisecCC::Bisector_BisecCC	(	const Handle< Geom2d_Curve > &	Cu1,
		const Handle< Geom2d_Curve > &	Cu2,
		const Standard_Real	Side1,
		const Standard_Real	Side2,
		const gp_Pnt2d &	Origin,
		const Standard_Real	DistMax = `500`
	)

 Constructs  the bisector  between the  curves <Cu1> <br>
     and <Cu2>. <br>

<Side1> (resp <Side2>) = 1 if the
bisector curve is on the left of <Cu1> (resp <Cu2>)
else <Side1> (resp <Side2>) = -1.

the Bisector is trimmed by the Point <Origin>.
<DistMax> is used to trim the bisector.The distance
between the points of the bisector and <Cu> is smaller
than <DistMax>.

Member Function Documentation

Handle_Bisector_BisecCC Bisector_BisecCC::ChangeGuide ( ) const

The parameter on <me> is linked to the parameter
on the first curve. This method creates the same bisector
where the curves are inversed.

GeomAbs_Shape Bisector_BisecCC::Continuity ( ) const

virtual

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.

Handle_Geom2d_Geometry Bisector_BisecCC::Copy ( ) const

virtual

Implements Geom2d_Geometry.

Handle_Geom2d_Curve Bisector_BisecCC::Curve ( const Standard_Integer IndCurve ) const

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

virtual

Returns in P the point of parameter U. <br>

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.

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

virtual

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.

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

virtual

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.

void Bisector_BisecCC::D3	(	const Standard_Real	U,
		gp_Pnt2d &	P,
		gp_Vec2d &	V1,
		gp_Vec2d &	V2,
		gp_Vec2d &	V3
	)		const

virtual

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.

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

virtual

 For the point of parameter U of this curve, computes <br>

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.

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

Standard_Real Bisector_BisecCC::FirstParameter ( ) const

virtual

Returns the value of the first parameter. <br>

Warnings :
It can be RealFirst or RealLast from package Standard
if the curve is infinite

Implements Geom2d_Curve.

GeomAbs_Shape Bisector_BisecCC::IntervalContinuity ( ) const

Standard_Real Bisector_BisecCC::IntervalFirst ( const Standard_Integer Index ) const

virtual

Returns the first parameter of the current
interval.

Implements Bisector_Curve.

Standard_Real Bisector_BisecCC::IntervalLast ( const Standard_Integer Index ) const

virtual

Returns the last parameter of the current
interval.

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecCC::IsClosed ( ) const

virtual

Returns true if the curve is closed. <br>

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 wich is a fixed criterion independant of the
application.

Implements Geom2d_Curve.

Standard_Boolean Bisector_BisecCC::IsCN ( const Standard_Integer N ) const

virtual

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

Implements Geom2d_Curve.

Standard_Boolean Bisector_BisecCC::IsEmpty ( ) const

Standard_Boolean Bisector_BisecCC::IsExtendAtEnd ( ) const

virtual

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecCC::IsExtendAtStart ( ) const

virtual

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecCC::IsPeriodic ( ) const

virtual

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.

Standard_Real Bisector_BisecCC::LastParameter ( ) const

virtual

Value of the last parameter. <br>

Warnings :
It can be RealFirst or RealLast from package Standard
if the curve is infinite

Implements Geom2d_Curve.

Standard_Real Bisector_BisecCC::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 Bisector_BisecCC::LinkCurveBis ( const Standard_Real U ) const

Returns the reciproque of LinkBisCurve.

Standard_Integer Bisector_BisecCC::NbIntervals ( ) const

virtual

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

Implements Bisector_Curve.

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

virtual

Implements Bisector_Curve.

void Bisector_BisecCC::Perform	(	const Handle< Geom2d_Curve > &	Cu1,
		const Handle< Geom2d_Curve > &	Cu2,
		const Standard_Real	Side1,
		const Standard_Real	Side2,
		const gp_Pnt2d &	Origin,
		const Standard_Real	DistMax = `500`
	)

 Computes the bisector  between the  curves <Cu1> <br>
     and <Cu2>. <br>

<Side1> (resp <Side2>) = 1 if the
bisector curve is on the left of <Cu1> (resp <Cu2>)
else <Side1> (resp <Side2>) = -1.

the Bisector is trimmed by the Point <Origin>.

<DistMax> is used to trim the bisector.The distance
between the points of the bisector and <Cu> is smaller
than <DistMax>.

const Bisector_PolyBis& Bisector_BisecCC::Polygon ( ) const

void Bisector_BisecCC::Reverse ( )

virtual

Changes the direction of parametrization of <me>.
The "FirstParameter" and the "LastParameter" are not changed
but 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.

Standard_Real Bisector_BisecCC::ReversedParameter ( const Standard_Real U ) const

virtual

 Computes the parameter on the reversed curve for <br>

the point of parameter U on this curve.
Note: The point of parameter U on this curve is
identical to the point of parameter
ReversedParameter(U) on the reversed curve.

Implements Geom2d_Curve.

void Bisector_BisecCC::Transform ( const gp_Trsf2d & T )

virtual

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.

gp_Pnt2d Bisector_BisecCC::ValueAndDist	(	const Standard_Real	U,
		Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	Distance
	)		const

Returns the point of parameter U.
Computes the distance between the current point and
the two curves I separate.
Computes the parameters on each curve corresponding
of the projection of the current point.

gp_Pnt2d Bisector_BisecCC::ValueByInt	(	const Standard_Real	U,
		Standard_Real &	U1,
		Standard_Real &	U2,
		Standard_Real &	Distance
	)		const

Returns the point of parameter U.
Computes the distance between the current point and
the two curves I separate.
Computes the parameters on each curve corresponding
of the projection of the current point.

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

Bisector_BisecCC.hxx

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation