Open CASCADE Technology 6.6.0
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 extremitys.

#include <Bisector_BisecPC.hxx>

Inheritance diagram for Bisector_BisecPC:
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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
 Returns True if the bisector is extended at start.

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

void Reverse ()
 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
 Returns the parameter on the reversed curve for
the point of parameter U on <me>.

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.

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

Standard_Real FirstParameter () const
 Value of the first parameter.

Standard_Real LastParameter () const
 Value of the last parameter.

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.

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

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

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

GeomAbs_Shape IntervalContinuity () const
Standard_Boolean IsClosed () const
 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 wich is a fixed criterion independant of the
application.

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.

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
 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.

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.

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.

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.

gp_Vec2d DN (const Standard_Real U, const Standard_Integer N) const
 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
 Returns the parameter on <me> corresponding to.
Standard_Boolean IsEmpty () const
 Returns <True> if the bisector is empty.


Constructor & Destructor Documentation

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

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

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

GeomAbs_Shape Bisector_BisecPC::Continuity ( ) const [virtual]

Implements Geom2d_Curve.

Handle_Geom2d_Geometry Bisector_BisecPC::Copy ( ) const [virtual]

Implements Geom2d_Geometry.

void Bisector_BisecPC::D0 ( const Standard_Real  U,
gp_Pnt2d P 
) const [virtual]

Implements Geom2d_Curve.

void Bisector_BisecPC::D1 ( const Standard_Real  U,
gp_Pnt2d P,
gp_Vec2d V1 
) const [virtual]

Implements Geom2d_Curve.

void Bisector_BisecPC::D2 ( const Standard_Real  U,
gp_Pnt2d P,
gp_Vec2d V1,
gp_Vec2d V2 
) const [virtual]

Implements Geom2d_Curve.

void Bisector_BisecPC::D3 ( const Standard_Real  U,
gp_Pnt2d P,
gp_Vec2d V1,
gp_Vec2d V2,
gp_Vec2d V3 
) const [virtual]

Implements Geom2d_Curve.

Standard_Real Bisector_BisecPC::Distance ( const Standard_Real  U) const
gp_Vec2d Bisector_BisecPC::DN ( const Standard_Real  U,
const Standard_Integer  N 
) const [virtual]
  • 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_BisecPC::Dump ( const Standard_Integer  Deep = 0,
const Standard_Integer  Offset = 0 
) const
Standard_Real Bisector_BisecPC::FirstParameter ( ) const [virtual]

Implements Geom2d_Curve.

GeomAbs_Shape Bisector_BisecPC::IntervalContinuity ( ) const
Standard_Real Bisector_BisecPC::IntervalFirst ( const Standard_Integer  Index) const [virtual]

Implements Bisector_Curve.

Standard_Real Bisector_BisecPC::IntervalLast ( const Standard_Integer  Index) const [virtual]

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecPC::IsClosed ( ) const [virtual]

Implements Geom2d_Curve.

Standard_Boolean Bisector_BisecPC::IsCN ( const Standard_Integer  N) const [virtual]

Implements Geom2d_Curve.

Standard_Boolean Bisector_BisecPC::IsEmpty ( ) const
Standard_Boolean Bisector_BisecPC::IsExtendAtEnd ( ) const [virtual]

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecPC::IsExtendAtStart ( ) const [virtual]

Implements Bisector_Curve.

Standard_Boolean Bisector_BisecPC::IsPeriodic ( ) const [virtual]

Implements Geom2d_Curve.

Standard_Real Bisector_BisecPC::LastParameter ( ) const [virtual]

Implements Geom2d_Curve.

Standard_Real Bisector_BisecPC::LinkBisCurve ( const Standard_Real  U) const
Standard_Real Bisector_BisecPC::LinkCurveBis ( const Standard_Real  U) const
Standard_Integer Bisector_BisecPC::NbIntervals ( ) const [virtual]

Implements Bisector_Curve.

Standard_Real Bisector_BisecPC::Parameter ( const gp_Pnt2d P) const [virtual]

.

Implements Bisector_Curve.

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

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>.

void Bisector_BisecPC::Reverse ( ) [virtual]

Implements Geom2d_Curve.

Standard_Real Bisector_BisecPC::ReversedParameter ( const Standard_Real  U) const [virtual]

Implements Geom2d_Curve.

void Bisector_BisecPC::Transform ( const gp_Trsf2d T) [virtual]

Implements Geom2d_Geometry.


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