Open CASCADE Technology 6.6.0
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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>
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. |
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>.
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] |
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.