Open CASCADE Technology  7.6.0.dev
Public Member Functions
Bisector_BisecPC Class Reference

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:
Inheritance graph
[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. More...
 
 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. More...
 
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. More...
 
Standard_Boolean IsExtendAtStart () const override
 Returns True if the bisector is extended at start. More...
 
Standard_Boolean IsExtendAtEnd () const override
 Returns True if the bisector is extended at end. More...
 
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. More...
 
Standard_Real ReversedParameter (const Standard_Real U) const override
 Returns the parameter on the reversed curve for the point of parameter U on <me>. More...
 
Handle< Geom2d_GeometryCopy () 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. More...
 
Standard_Boolean IsCN (const Standard_Integer N) const override
 Returns the order of continuity of the curve. Raised if N < 0. More...
 
Standard_Real FirstParameter () const override
 Value of the first parameter. More...
 
Standard_Real LastParameter () const override
 Value of the last parameter. More...
 
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. More...
 
Standard_Integer NbIntervals () const override
 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 override
 Returns the first parameter of the current interval. More...
 
Standard_Real IntervalLast (const Standard_Integer Index) const override
 Returns the last parameter of the current interval. More...
 
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 independant of the application. More...
 
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. More...
 
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. More...
 
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. More...
 
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. More...
 
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. More...
 
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. More...
 
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: More...
 
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>. More...
 
Standard_Real LinkCurveBis (const Standard_Real U) const
 Returns the reciproque of LinkBisCurve. More...
 
Standard_Real Parameter (const gp_Pnt2d &P) const override
 Returns the parameter on <me> corresponding to. More...
 
Standard_Boolean IsEmpty () const
 Returns <True> if the bisector is empty. More...
 
- 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). More...
 
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). More...
 
Handle< Geom2d_CurveReversed () 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: 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>. 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. More...
 
virtual void DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override
 Dumps the content of me into the stream. More...
 
- 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. More...
 
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. More...
 
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. 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_GeometryMirrored (const gp_Pnt2d &P) const
 
Handle< Geom2d_GeometryMirrored (const gp_Ax2d &A) const
 
Handle< Geom2d_GeometryRotated (const gp_Pnt2d &P, const Standard_Real Ang) const
 
Handle< Geom2d_GeometryScaled (const gp_Pnt2d &P, const Standard_Real S) const
 
Handle< Geom2d_GeometryTransformed (const gp_Trsf2d &T) const
 
Handle< Geom2d_GeometryTranslated (const gp_Vec2d &V) const
 
Handle< Geom2d_GeometryTranslated (const gp_Pnt2d &P1, const gp_Pnt2d &P2) const
 
- Public Member Functions inherited from Standard_Transient
 Standard_Transient ()
 Empty constructor. More...
 
 Standard_Transient (const Standard_Transient &)
 Copy constructor – does nothing. More...
 
Standard_Transientoperator= (const Standard_Transient &)
 Assignment operator, needed to avoid copying reference counter. More...
 
virtual ~Standard_Transient ()
 Destructor must be virtual. More...
 
virtual void Delete () const
 Memory deallocator for transient classes. More...
 
virtual const opencascade::handle< Standard_Type > & DynamicType () const
 Returns a type descriptor about this object. More...
 
Standard_Boolean IsInstance (const opencascade::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 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. 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...
 
Standard_TransientThis () 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. More...
 
Standard_Integer GetRefCount () const
 Get the reference counter of this object. More...
 
void IncrementRefCounter () const
 Increments the reference counter of this object. More...
 
Standard_Integer DecrementRefCounter () const
 Decrements the reference counter of this object; returns the decremented value. More...
 

Additional Inherited Members

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

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 independant 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: