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. More...
#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. 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 |
| Returns True if the bisector is extended at start. More... | |
| Standard_Boolean | IsExtendAtEnd () const |
| Returns True if the bisector is extended at end. More... | |
| 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. More... | |
| Standard_Real | ReversedParameter (const Standard_Real U) const |
| Returns the parameter on the reversed curve for the point of parameter U on <me>. 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_Boolean | IsCN (const Standard_Integer N) const |
| Returns the order of continuity of the curve. Raised if N < 0. More... | |
| Standard_Real | FirstParameter () const |
| Value of the first parameter. More... | |
| Standard_Real | LastParameter () const |
| Value of the last parameter. 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. 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... | |
| 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 |
| 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 |
| 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 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 |
| 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_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: 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... | |
| 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_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 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
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.
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 |
||
| ) |
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::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
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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.
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Implements Geom2d_Geometry.
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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.
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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.
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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.
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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.
| 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.
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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.
| void Bisector_BisecPC::Dump | ( | const Standard_Integer | Deep = 0, |
| const Standard_Integer | Offset = 0 |
||
| ) | const |
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Value of the first parameter.
Implements Geom2d_Curve.
| GeomAbs_Shape Bisector_BisecPC::IntervalContinuity | ( | ) | const |
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Returns the first parameter of the current interval.
Implements Bisector_Curve.
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Returns the last parameter of the current interval.
Implements Bisector_Curve.
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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.
Implements Geom2d_Curve.
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Returns the order of continuity of the curve. Raised if N < 0.
Implements Geom2d_Curve.
| Standard_Boolean Bisector_BisecPC::IsEmpty | ( | ) | const |
Returns <True> if the bisector is empty.
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Returns True if the bisector is extended at end.
Implements Bisector_Curve.
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Returns True if the bisector is extended at start.
Implements Bisector_Curve.
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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.
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Value of the last parameter.
Implements Geom2d_Curve.
| 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>.
| Standard_Real Bisector_BisecPC::LinkCurveBis | ( | const Standard_Real | U | ) | const |
Returns the reciproque of LinkBisCurve.
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If necessary, breaks the curve in intervals of continuity <C1>. And returns the number of intervals.
Implements Bisector_Curve.
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| 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>.
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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.
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Returns the parameter on the reversed curve for the point of parameter U on <me>.
Implements Geom2d_Curve.
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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:
