Open CASCADE Technology 7.7.0
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Defines a portion of a curve limited by two values of parameters inside the parametric domain of the curve. The trimmed curve is defined by: More...
#include <Geom2d_TrimmedCurve.hxx>
Public Member Functions | |
Geom2d_TrimmedCurve (const Handle< Geom2d_Curve > &C, const Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense=Standard_True, const Standard_Boolean theAdjustPeriodic=Standard_True) | |
Creates a trimmed curve from the basis curve C limited between U1 and U2. | |
void | Reverse () override |
Changes the direction of parametrization of <me>. The first and the last parametric values are modified. 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. Example - If the trimmed curve is defined by: | |
Standard_Real | ReversedParameter (const Standard_Real U) const override |
Returns the parameter on the reversed curve for the point of parameter U on <me>. | |
void | SetTrim (const Standard_Real U1, const Standard_Real U2, const Standard_Boolean Sense=Standard_True, const Standard_Boolean theAdjustPeriodic=Standard_True) |
Changes this trimmed curve, by redefining the parameter values U1 and U2, which limit its basis curve. Note: If the basis curve is periodic, the trimmed curve has the same orientation as the basis curve if Sense is true (default value) or the opposite orientation if Sense is false. Warning If the basis curve is periodic and theAdjustPeriodic is True, the bounds of the trimmed curve may be different from U1 and U2 if the parametric origin of the basis curve is within the arc of the trimmed curve. In this case, the modified parameter will be equal to U1 or U2 plus or minus the period. If theAdjustPeriodic is False, parameters U1 and U2 will stay unchanged. Exceptions Standard_ConstructionError if: | |
Handle< Geom2d_Curve > | BasisCurve () const |
Returns the basis curve. Warning This function does not return a constant reference. Consequently, any modification of the returned value directly modifies the trimmed curve. | |
GeomAbs_Shape | Continuity () const override |
Returns the global continuity of the basis curve of this trimmed 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, CN : the order of continuity is infinite. | |
Standard_Boolean | IsCN (const Standard_Integer N) const override |
— Purpose Returns True if the order of continuity of the trimmed curve is N. A trimmed curve is at least "C0" continuous. Warnings : The continuity of the trimmed curve can be greater than the continuity of the basis curve because you consider only a part of the basis curve. Raised if N < 0. | |
gp_Pnt2d | EndPoint () const override |
Returns the end point of <me>. This point is the evaluation of the curve for the "LastParameter". | |
Standard_Real | FirstParameter () const override |
Returns the value of the first parameter of <me>. The first parameter is the parameter of the "StartPoint" of the trimmed curve. | |
Standard_Boolean | IsClosed () const override |
Returns True if the distance between the StartPoint and the EndPoint is lower or equal to Resolution from package gp. | |
Standard_Boolean | IsPeriodic () const override |
Always returns FALSE (independently of the type of basis curve). | |
virtual Standard_Real | Period () const override |
Returns the period of the basis curve of this trimmed curve. Exceptions Standard_NoSuchObject if the basis curve is not periodic. | |
Standard_Real | LastParameter () const override |
Returns the value of the last parameter of <me>. The last parameter is the parameter of the "EndPoint" of the trimmed curve. | |
gp_Pnt2d | StartPoint () const override |
Returns the start point of <me>. This point is the evaluation of the curve from the "FirstParameter". value and derivatives Warnings : The returned derivatives have the same orientation as the derivatives of the basis curve. | |
void | D0 (const Standard_Real U, gp_Pnt2d &P) const override |
If the basis curve is an OffsetCurve sometimes it is not possible to do the evaluation of the curve at the parameter U (see class OffsetCurve). | |
void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const override |
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 override |
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 override |
Raised if the continuity of the curve is not C3. | |
gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const override |
For the point of parameter U of this trimmed curve, computes the vector corresponding to the Nth derivative. Warning The returned derivative vector has the same orientation as the derivative vector of the basis curve, even if the trimmed curve does not have the same orientation as the basis curve. Exceptions Standard_RangeError if N is less than 1. geometric transformations. | |
void | Transform (const gp_Trsf2d &T) override |
Applies the transformation T to this trimmed curve. Warning The basis curve is also modified. | |
virtual Standard_Real | TransformedParameter (const Standard_Real U, const gp_Trsf2d &T) const override |
Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>. | |
virtual Standard_Real | ParametricTransformation (const gp_Trsf2d &T) const override |
Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>. | |
Handle< Geom2d_Geometry > | Copy () const override |
Creates a new object, which is a copy of this trimmed curve. | |
virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override |
Dumps the content of me into the stream. | |
virtual gp_Pnt2d | EndPoint () const =0 |
Returns the end point of the curve. The end point is the value of the curve for the "LastParameter" of the curve. | |
virtual gp_Pnt2d | StartPoint () const =0 |
Returns the start point of the curve. The start point is the value of the curve for the "FirstParameter" of the curve. | |
virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override |
Dumps the content of me into the stream. | |
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virtual void | Reverse ()=0 |
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. | |
virtual Standard_Real | ReversedParameter (const Standard_Real U) const =0 |
Computes the parameter on the reversed curve for 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. | |
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). | |
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). | |
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: | |
virtual Standard_Real | FirstParameter () const =0 |
Returns the value of the first parameter. Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite. | |
virtual Standard_Real | LastParameter () const =0 |
Value of the last parameter. Warnings : It can be RealFirst or RealLast from package Standard if the curve is infinite. | |
virtual Standard_Boolean | IsClosed () const =0 |
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 independent of the application. | |
virtual Standard_Boolean | IsPeriodic () const =0 |
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. | |
virtual Standard_Real | Period () const |
Returns the period of this curve. raises if the curve is not periodic. | |
virtual GeomAbs_Shape | Continuity () const =0 |
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. | |
virtual Standard_Boolean | IsCN (const Standard_Integer N) const =0 |
Returns true if the degree of continuity of this curve is at least N. Exceptions Standard_RangeError if N is less than 0. | |
virtual void | D0 (const Standard_Real U, gp_Pnt2d &P) const =0 |
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. | |
virtual void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const =0 |
Returns the point P of parameter U and the first derivative V1. Raised if the continuity of the curve is not C1. | |
virtual void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const =0 |
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. | |
virtual void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const =0 |
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. | |
virtual gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const =0 |
For the point of parameter U of this curve, computes the vector corresponding to the Nth derivative. Exceptions StdFail_UndefinedDerivative if: | |
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. | |
virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override |
Dumps the content of me into the stream. | |
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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. | |
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. | |
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. | |
void | Scale (const gp_Pnt2d &P, const Standard_Real S) |
Scales a Geometry. S is the scaling value. | |
void | Translate (const gp_Vec2d &V) |
Translates a Geometry. V is the vector of the translation. | |
void | Translate (const gp_Pnt2d &P1, const gp_Pnt2d &P2) |
Translates a Geometry from the point P1 to the point P2. | |
virtual void | Transform (const gp_Trsf2d &T)=0 |
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. (see class Transformation of the package Geom2d). The following transformations have the same properties as the previous ones but they don't modified the object itself. A copy of the object is returned. | |
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 |
virtual Handle< Geom2d_Geometry > | Copy () const =0 |
virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const |
Dumps the content of me into the stream. | |
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Standard_Transient () | |
Empty constructor. | |
Standard_Transient (const Standard_Transient &) | |
Copy constructor – does nothing. | |
Standard_Transient & | operator= (const Standard_Transient &) |
Assignment operator, needed to avoid copying reference counter. | |
virtual | ~Standard_Transient () |
Destructor must be virtual. | |
virtual void | Delete () const |
Memory deallocator for transient classes. | |
virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
Returns a type descriptor about this object. | |
Standard_Boolean | IsInstance (const opencascade::handle< Standard_Type > &theType) const |
Returns a true value if this is an instance of Type. | |
Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
Returns a true value if this is an instance of TypeName. | |
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. | |
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. | |
Standard_Transient * | This () 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. | |
Standard_Integer | GetRefCount () const |
Get the reference counter of this object. | |
void | IncrementRefCounter () const |
Increments the reference counter of this object. | |
Standard_Integer | DecrementRefCounter () const |
Decrements the reference counter of this object; returns the decremented value. | |
Additional Inherited Members | |
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typedef void | base_type |
Returns a type descriptor about this object. | |
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static const char * | get_type_name () |
Returns a type descriptor about this object. | |
static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
Returns type descriptor of Standard_Transient class. | |
Defines a portion of a curve limited by two values of parameters inside the parametric domain of the curve. The trimmed curve is defined by:
Geom2d_TrimmedCurve::Geom2d_TrimmedCurve | ( | const Handle< Geom2d_Curve > & | C, |
const Standard_Real | U1, | ||
const Standard_Real | U2, | ||
const Standard_Boolean | Sense = Standard_True , |
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const Standard_Boolean | theAdjustPeriodic = Standard_True |
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Creates a trimmed curve from the basis curve C limited between U1 and U2.
. U1 can be greater or lower than U2. . The returned curve is oriented from U1 to U2. . If the basis curve C is periodic there is an ambiguity because two parts are available. In this case by default the trimmed curve has the same orientation as the basis curve (Sense = True). If Sense = False then the orientation of the trimmed curve is opposite to the orientation of the basis curve C. If the curve is closed but not periodic it is not possible to keep the part of the curve including the junction point (except if the junction point is at the beginning or at the end of the trimmed curve) because you could lose the fundamental characteristics of the basis curve which are used for example to compute the derivatives of the trimmed curve. So for a closed curve the rules are the same as for a open curve. Warnings : In this package the entities are not shared. The TrimmedCurve is built with a copy of the curve C. So when C is modified the TrimmedCurve is not modified Warnings : If is periodic and <theAdjustPeriodic> is True, parametrics bounds of the TrimmedCurve, can be different to [<U1>;<U2>}, if <U1> or <U2> are not in the principal period. Include : For more explanation see the scheme given with this class. Raises ConstructionError the C is not periodic and U1 or U2 are out of the bounds of C. Raised if U1 = U2.
Handle< Geom2d_Curve > Geom2d_TrimmedCurve::BasisCurve | ( | ) | const |
Returns the basis curve. Warning This function does not return a constant reference. Consequently, any modification of the returned value directly modifies the trimmed curve.
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Returns the global continuity of the basis curve of this trimmed 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, CN : the order of continuity is infinite.
Implements Geom2d_Curve.
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Creates a new object, which is a copy of this trimmed curve.
Implements Geom2d_Geometry.
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If the basis curve is an OffsetCurve sometimes it is not possible to do the evaluation of the curve at the parameter U (see class OffsetCurve).
Implements Geom2d_Curve.
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Raised if the continuity of the curve is not C1.
Implements Geom2d_Curve.
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Raised if the continuity of the curve is not C2.
Implements Geom2d_Curve.
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Raised if the continuity of the curve is not C3.
Implements Geom2d_Curve.
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For the point of parameter U of this trimmed curve, computes the vector corresponding to the Nth derivative. Warning The returned derivative vector has the same orientation as the derivative vector of the basis curve, even if the trimmed curve does not have the same orientation as the basis curve. Exceptions Standard_RangeError if N is less than 1. geometric transformations.
Implements Geom2d_Curve.
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Dumps the content of me into the stream.
Reimplemented from Geom2d_BoundedCurve.
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Returns the end point of <me>. This point is the evaluation of the curve for the "LastParameter".
Implements Geom2d_BoundedCurve.
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Returns the value of the first parameter of <me>. The first parameter is the parameter of the "StartPoint" of the trimmed curve.
Implements Geom2d_Curve.
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Returns True if the distance between the StartPoint and the EndPoint is lower or equal to Resolution from package gp.
Implements Geom2d_Curve.
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— Purpose Returns True if the order of continuity of the trimmed curve is N. A trimmed curve is at least "C0" continuous. Warnings : The continuity of the trimmed curve can be greater than the continuity of the basis curve because you consider only a part of the basis curve. Raised if N < 0.
Implements Geom2d_Curve.
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Always returns FALSE (independently of the type of basis curve).
Implements Geom2d_Curve.
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Returns the value of the last parameter of <me>. The last parameter is the parameter of the "EndPoint" of the trimmed curve.
Implements Geom2d_Curve.
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Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>.
Transformed(T)->Value(U * ParametricTransformation(T))
is the same point as
Value(U).Transformed(T)
This methods calls the basis curve method.
Reimplemented from Geom2d_Curve.
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Returns the period of the basis curve of this trimmed curve. Exceptions Standard_NoSuchObject if the basis curve is not periodic.
Reimplemented from Geom2d_Curve.
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Changes the direction of parametrization of <me>. The first and the last parametric values are modified. 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. Example - If the trimmed curve is defined by:
Implements Geom2d_Curve.
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Returns the parameter on the reversed curve for the point of parameter U on <me>.
returns UFirst + ULast - U
Implements Geom2d_Curve.
void Geom2d_TrimmedCurve::SetTrim | ( | const Standard_Real | U1, |
const Standard_Real | U2, | ||
const Standard_Boolean | Sense = Standard_True , |
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const Standard_Boolean | theAdjustPeriodic = Standard_True |
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Changes this trimmed curve, by redefining the parameter values U1 and U2, which limit its basis curve. Note: If the basis curve is periodic, the trimmed curve has the same orientation as the basis curve if Sense is true (default value) or the opposite orientation if Sense is false. Warning If the basis curve is periodic and theAdjustPeriodic is True, the bounds of the trimmed curve may be different from U1 and U2 if the parametric origin of the basis curve is within the arc of the trimmed curve. In this case, the modified parameter will be equal to U1 or U2 plus or minus the period. If theAdjustPeriodic is False, parameters U1 and U2 will stay unchanged. Exceptions Standard_ConstructionError if:
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Returns the start point of <me>. This point is the evaluation of the curve from the "FirstParameter". value and derivatives Warnings : The returned derivatives have the same orientation as the derivatives of the basis curve.
Implements Geom2d_BoundedCurve.
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Applies the transformation T to this trimmed curve. Warning The basis curve is also modified.
Implements Geom2d_Geometry.
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Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>.
me->Transformed(T)->Value(me->TransformedParameter(U,T))
is the same point as
me->Value(U).Transformed(T)
This methods calls the basis curve method.
Reimplemented from Geom2d_Curve.