C3D Toolkit  Kernel - 117982, Vision - 2.9.2.2

Spiral with a curvilinear axis. More...

#include <cur_crooked_spiral.h>

+ Inheritance diagram for MbCrookedSpiral:
+ Collaboration diagram for MbCrookedSpiral:

Public Member Functions

 MbCrookedSpiral (const MbPlacement3D &pos, MbCurve &axisCurve, double radius, double step, bool same)
 Spiral with a curvilinear axis.
 
void Init (const MbCrookedSpiral &)
 Spiral initialization by spiral.
 
void Init (const MbPlacement3D &)
 Spiral initialization by base (local coordinate system).
 
MbeSpaceType IsA () const override
 Get the type of the object.
 
MbSpaceItemDuplicate (MbRegDuplicate *=nullptr) const override
 Create a copy of the object. More...
 
bool IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const override
 Determine whether an object is equal. More...
 
bool SetEqual (const MbSpaceItem &init) override
 Make objects equal if they are similar. More...
 
void GetProperties (MbProperties &) override
 Outstanding properties of the object. More...
 
void SetProperties (const MbProperties &) override
 Change the properties of an object. More...
 
bool IsClosed () const override
 Define whether the curve is periodic. More...
 
void PointOn (double &t, MbCartPoint3D &pnt) const override
 Calculate a point on the curve. More...
 
void FirstDer (double &t, MbVector3D &fd) const override
 Calculate first derivative.
 
void SecondDer (double &t, MbVector3D &sd) const override
 Calculate second derivative.
 
void ThirdDer (double &t, MbVector3D &td) const override
 Calculate third derivative.
 
void _PointOn (double t, MbCartPoint3D &pnt) const override
 Calculate point at curve and its extension. More...
 
void _FirstDer (double t, MbVector3D &fd) const override
 Calculate first derivative at curve and its extension.
 
void _SecondDer (double t, MbVector3D &sd) const override
 Calculate second derivative at curve and its extension.
 
void _ThirdDer (double t, MbVector3D &td) const override
 Calculate third derivative at curve and its extension.
 
void Explore (double &t, bool ext, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec, MbVector3D *thir) const override
 Calculate point and derivatives of object for given parameter. More...
 
void Inverse (MbRegTransform *iReg=nullptr) override
 Change direction of a curve.
 
MbCurve3DTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
double CalculateLength (double t1, double t2) const override
 Calculate the metric length of a curve. More...
 
void GetBasisItems (RPArray< MbSpaceItem > &) override
 Outstanding reference objects in a container sent.
 
const MbCurveGetAxisCurve () const
 Get axial curve.
 
double GetSpiralRadius () const
 Get radius.
 
bool GetCurveSense () const
 Change radius. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
- Public Member Functions inherited from MbSpiral
void Init (const MbSpiral &)
 Set spiral parameters by another spiral.
 
void Init (const MbPlacement3D &)
 Replace local coordinate system.
 
bool Init (double height, double st)
 Set height and step between coils of spiral.
 
bool Init (const MbPlacement3D &place, double height, double st)
 Set local coordinates system, height and step of spiral.
 
MbeSpaceType Type () const override
 Get the group object type.
 
bool IsSame (const MbSpaceItem &, double accuracy=LENGTH_EPSILON) const override
 Determine whether an object is equal. More...
 
bool SetEqual (const MbSpaceItem &) override
 Make objects equal if they are similar. More...
 
void Transform (const MbMatrix3D &, MbRegTransform *=nullptr) override
 Convert the object according to the matrix. More...
 
void Move (const MbVector3D &, MbRegTransform *=nullptr) override
 Move an object along a vector. More...
 
void Rotate (const MbAxis3D &, double angle, MbRegTransform *=nullptr) override
 Rotate an object around an axis at a given angle. More...
 
void AddYourGabaritTo (MbCube &) const override
 Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...
 
void PrepareIntegralData (const bool forced) const override
 Calculate temporary (mutable) data of an object. More...
 
void GetBasisPoints (MbControlData3D &) const override
 Get control points of object.
 
void SetBasisPoints (const MbControlData3D &) override
 Change the object by control points.
 
void Refresh () override
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
double GetTMin () const override
 Get the minimum value of parameter.
 
double GetTMax () const override
 Get the maximum value of parameter.
 
bool IsClosed () const override
 Define whether the curve is periodic. More...
 
double GetMetricLength () const override
 Calculate the metric length of a curve.
 
double GetLengthEvaluation () const override
 Calculate the metric length of a curve. More...
 
MbNurbs3DNurbsCurve (const MbCurveIntoNurbsInfo &) const override
 Construct a NURBS copy of a curve. More...
 
double Curvature (double t) const override
 Calculate curvature of curve.
 
double Step (double t, double sag) const override
 Calculate parameter step. More...
 
double DeviationStep (double t, double angle) const override
 Calculate parameter step. More...
 
size_t GetCount () const override
 Define the number of splittings for one passage in operations.
 
bool GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const override
 Fill the placement if a curve is planar.
 
bool IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const override
 Whether the object is a shift.
 
void GetCentre (MbCartPoint3D &c) const override
 Give the curve center.
 
void GetDirection (MbVector3D &v) const
 Get direction of spiral.
 
bool GetAxis (MbAxis3D &axis) const
 Get axis of spiral.
 
double GetStep () const
 Get step.
 
double GetSpiralStep () const
 Get physical pitch of spiral.
 
double GetAngle () const
 Get full angle of spiral.
 
bool SetTMin (double t)
 Change boundary angle.
 
bool SetTMax (double t)
 Change boundary angle.
 
bool SetLimit (double t1, double t2)
 Change boundary angles.
 
- Public Member Functions inherited from MbCurve3D
virtual ~MbCurve3D ()
 Destructor.
 
virtual void Accept (Visitor &visitor)
 Implementation of a function initializing a visit of an object.
 
virtual MbResultType Extend (const MbCurveExtensionParameters3D &parameters, c3d::SpaceCurveSPtr &resCurve) const
 Extend the curve. More...
 
size_t size () const
 Size of curve interpreted as vector of curves.
 
const MbCurve3Doperator[] (size_t) const
 An access operator.
 
MbeSpaceType Type () const override
 Get the group object type.
 
MbeSpaceType Family () const override
 Get family of objects.
 
virtual MbCurve3DInverseDuplicate () const
 Create a copy with changed direction.
 
double DistanceToPoint (const MbCartPoint3D &) const override
 Determine the distance to the point. More...
 
void AddYourGabaritTo (MbCube &) const override
 Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...
 
void Refresh () override
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
virtual bool IsSpaceSame (const MbSpaceItem &item, double eps=METRIC_REGION) const
 Are the objects identical in space?
 
virtual double GetPeriod () const
 Return period. If a curve is not periodic then 0.
 
virtual bool IsPeriodic () const
 Define whether the curve is periodic. More...
 
bool IsTouch (double eps=Math::metricPrecision) const
 Determine whether a curve is closed regardless of the smoothness of the closure. More...
 
virtual void Tangent (double &t, MbVector3D &) const
 Calculate tangent vector (normalized).
 
virtual void Normal (double &t, MbVector3D &) const
 Calculate main normal vector.
 
virtual void BNormal (double &t, MbVector3D &) const
 Calculate binormal vector.
 
virtual void _Tangent (double t, MbVector3D &) const
 Calculate tangent vector (normalized) at curve and its extension.
 
virtual void _Normal (double t, MbVector3D &) const
 Calculate main normal vector (normalized) at curve and its extension.
 
virtual void _BNormal (double t, MbVector3D &) const
 Calculate binormal vector (normalized) at curve and its extension.
 
virtual void FastApproxExplore (double &t, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec) const
 Calculate point and derivatives on the curve. More...
 
virtual double MetricStep (double t, double length) const
 Calculate parameter step. More...
 
double CurveStep (const double &t, const MbStepData &stepData) const
 Calculate parameter step. More...
 
virtual void ResetTCalc () const
 Reset the current value of parameter.
 
virtual const MbCurve3DGetBasisCurve () const
 Returns the base curve if exists or itself.
 
virtual MbCurve3DSetBasisCurve ()
 Returns the base curve if exists or itself.
 
virtual void ThirdMetricDer (double t, MbVector3D &vect) const
 Calculate second derivative of tangent.
 
MbNurbs3DNurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const
 Construct a NURBS copy of a curve. More...
 
virtual MbCurve3DNurbsCurve (const MbNurbsParameters &tParameters) const
 Construct a NURBS copy of a curve. More...
 
virtual size_t NurbsCurveMinPoints (const MbNurbsParameters &tParameters, double epsilon=c3d::METRIC_DELTA) const
 Define the number of knots of a NURBS curve which is required to approximate the curve with the given tolerance. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
double GetParamLength () const
 Return the parametric length of a curve.
 
virtual double CalculateMetricLength () const
 Calculate the metric length of a curve.
 
virtual bool DistanceAlong (double &t, double len, int curveDir, double eps=Math::metricPrecision, VERSION version=Math::DefaultMathVersion()) const
 Translate parameter along the curve. More...
 
virtual void CalculateGabarit (MbCube &cube) const
 Calculate bounding box of a curve.
 
void CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
 To compute bounding box in a local coordinate system. More...
 
virtual bool IsDegenerate (double eps=METRIC_PRECISION) const
 Check whether the curve is degenerated.calculate.
 
virtual bool IsStraight (bool ignoreParams=false) const
 Whether the line is straight?
 
virtual bool IsPlanar (double accuracy=METRIC_EPSILON) const
 Is a curve planar?
 
virtual bool IsSmoothConnected (double angleEps) const
 Are joints of contour/curve smooth?
 
virtual void ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init)
 Change the carrier. For surface curves.
 
virtual bool ChangeCarrierBorne (const MbSpaceItem &item, MbSpaceItem &init, const MbMatrix &matr)
 Change the carrier. More...
 
MbPropertyCreateProperty (MbePrompt name) const override
 Create your own property with the name.
 
void CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
 Build polygonal copy mesh. More...
 
virtual void CalculatePolygon (const MbStepData &stepData, MbPolygon3D &polygon) const
 Calculate an array of points for drawing. More...
 
virtual void GetWeightCentre (MbCartPoint3D &) const
 Give the gravity center of a curve.
 
virtual MbeNewtonResult PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &t, bool ext) const
 Find the point projection to the curve. More...
 
virtual bool NearPointProjection (const MbCartPoint3D &pnt, double &t, bool ext, MbRect1D *tRange=nullptr) const
 Find the point projection to the curve. More...
 
virtual MbeNewtonResult IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &t) const
 Find isoclines of a curve. More...
 
virtual void GetIsoclinal (const MbVector3D &nor, SArray< double > &tIso) const
 Find all isoclines of a curve. More...
 
virtual double DistanceToCurve (const MbCurve3D &curve2, double &t1, double &t2) const
 Calculate the nearest distance to a curve.
 
virtual double DistanceToPlace (const MbPlacement3D &place, double &t0, double &angle) const
 The nearest point of a curve by the placement.
 
virtual double GetRadius (double accuracy=METRIC_REGION) const
 Get the physical radius of the curve or zero if it impossible. More...
 
virtual bool GetCircleAxis (MbAxis3D &axis) const
 Get an axis of a circle which is geometrically coincident to the given curve. More...
 
virtual MbCurveGetMap (const MbMatrix3D &into, MbRect1D *pRegion=nullptr, VERSION version=Math::DefaultMathVersion(), bool *coincParams=nullptr) const
 Construct a planar projection of a piece of a space curve. More...
 
virtual MbCurveGetMapPsp (const MbMatrix3D &into, double zNear, MbRect1D *pRegion=nullptr) const
 Construct a planar projection of a piece of a space curve. More...
 
virtual MbCurveGetProjection (const MbPlacement3D &place, VERSION version) const
 Construct a planar projection of a space curve to a plane. More...
 
void GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const
 Get n points of a curve with equal intervals by parameter.
 
void GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint3D > &pnts) const
 
virtual void GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const
 Get n points of a curve with equal intervals by arc length.
 
void GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint3D > &pnts) const
 
void GetBasisPoints (MbControlData3D &) const override
 Get control points of object.
 
void SetBasisPoints (const MbControlData3D &) override
 Change the object by control points.
 
virtual bool IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const
 Have the first derivative of the curve the continuous length and direction? More...
 
virtual bool SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON)
 Eliminate the discontinuities of the first derivative at length. More...
 
bool IsSpaceNear (const MbCurve3D &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const
 Check whether the two curves are metrically close. More...
 
bool IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
 Check whether a point is on a curve or not.
 
double GetTMid () const
 Return the middle of parametric range of a curve.
 
double GetTRange () const
 Return the parametric length of a curve.
 
MbCartPoint3D PointOn (double &t) const
 Calculate point on the curve.
 
MbVector3D FirstDer (double &t) const
 Calculate first derivative.
 
MbVector3D SecondDer (double &t) const
 Calculate second derivative.
 
MbVector3D ThirdDer (double &t) const
 Calculate third derivative.
 
virtual void GetCurvatureSpecialPoints (std::vector< c3d::DoublePair > &points) const
 Find all the special points of the curvature function of the curve. More...
 
virtual void GetAnalyticalFunctionsBounds (std::vector< double > &params) const
 Get the boundaries of the curve sections that are described by one analytical function. More...
 
virtual void BreakPoints (std::vector< double > &vBreaks, double precision=ANGLE_REGION) const
 \ ru Определение точек излома кривой. The determination of curve smoothness break points.
 
MbCartPoint3D GetLimitPoint (ptrdiff_t number) const
 Calculate the boundary point. More...
 
void GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const
 Calculate the boundary point. More...
 
MbVector3D GetLimitTangent (ptrdiff_t number) const
 Calculate a tangent vector to the boundary point. More...
 
void GetLimitTangent (ptrdiff_t number, MbVector3D &v) const
 Calculate a tangent vector to the boundary point. More...
 
bool AreLimitPointsEqual () const
 Are boundary points equal? More...
 
bool SetInParamRegion (double &t) const
 Move to the parametric region.
 
bool IsParamOn (double t, double eps) const
 Check whether a parameter is in the range of the curve.
 
bool IsInverseSame (const MbCurve3D &curve, double accuracy=LENGTH_EPSILON) const
 Whether an inversed curve is the same.
 
virtual bool IsReparamSame (const MbCurve3D &curve, double &factor) const
 Define whether a reparameterized curve is the same. More...
 
virtual double GetParamToUnit () const
 Get increment of parameter, corresponding to the unit length in space.
 
virtual double GetParamToUnit (double t) const
 Get increment of parameter, corresponding to the unit length in space.
 
double GetTEpsilon () const
 Get the minimum distinguishable value of parameter.
 
double GetTEpsilon (double t) const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion () const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion (double t) const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion (double t, const MbDimAccuracy &xyzEps) const
 Get the minimum distinguishable value of parameter with the given three-dimensional accuracy according to parameter.
 
virtual const MbCurve3DGetSubstrate () const
 Get a substrate or itself.
 
virtual MbCurve3DSetSubstrate ()
 Get a substrate or itself.
 
virtual int SubstrateCurveDirection () const
 Direction of a substrate relative to a curve or vice versa.
 
virtual void SubstrateToCurve (double &) const
 Transform a substrate parameter to the curve parameter.
 
virtual void CurveToSubstrate (double &) const
 Transform a curve parameter to the substrate parameter.
 
virtual bool GetPlaneCurve (MbCurve *&curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
 Get planar curve and placement if the space curve is planar. More...
 
bool GetPlaneCurve (SPtr< MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
 Get planar curve and placement if the space curve is planar. More...
 
bool GetPlaneCurve (SPtr< const MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
 Get planar curve and placement if the space curve is planar. More...
 
virtual bool GetSurfaceCurve (MbCurve *&curve2d, MbSurface *&surface, VERSION version=Math::DefaultMathVersion()) const
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
bool GetSurfaceCurve (SPtr< MbCurve > &curve2d, SPtr< MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
bool GetSurfaceCurve (SPtr< const MbCurve > &curve2d, SPtr< const MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
virtual bool IsSimilarToCurve (const MbCurve3D &other, double precision=METRIC_PRECISION) const
 Whether the curves to union (joining) are similar.
 
void CalculateGrid (double radius, const MbStepData &stepData, MbMesh &mesh) const
 Approximation of a curve by the flat tube with the given radius.
 
SimpleName GetCurveName () const
 A curve name.
 
void SetCurveName (SimpleName newName)
 Set a curve name.
 
- Public Member Functions inherited from MbSpaceItem
virtual ~MbSpaceItem ()
 Destructor.
 
void PrepareWrite () const
 Register object. More...
 
MbeRefType RefType () const override
 Get a registration type (for copying, duplication).
 
bool IsFamilyRegistrable () const override
 Whether the object belongs to a registrable family.
 
virtual bool IsSimilar (const MbSpaceItem &item) const
 Determine whether an object is similar. More...
 
void CalculateWire (const MbStepData &stepData, MbMesh &mesh) const
 
void CalculateWire (double sag, MbMesh &mesh) const
 
- Public Member Functions inherited from TapeBase
 TapeBase (RegistrableRec regs=noRegistrable)
 Constructor.
 
 TapeBase (const TapeBase &)
 Copy-constructor.
 
virtual ~TapeBase ()
 Destructor.
 
RegistrableRec GetRegistrable () const
 Whether the stream class is registrable.
 
void SetRegistrable (RegistrableRec regs=registrable) const
 Set the state of registration of the stream class.
 
virtual const char * GetPureName (const VersionContainer &) const
 Get the class name.
 
- Public Member Functions inherited from MbRefItem
refcount_t GetUseCount () const
 Get count of references (get count of owners of an object).
 
refcount_t AddRef () const
 Increase count of references by one.
 
refcount_t DecRef () const
 Decrease count of references by one.
 
refcount_t Release () const
 Decrease count of references by one and if count of references became zero, then remove itself.
 
- Public Member Functions inherited from MbNestSyncItem
void Lock () const
 Switch lock on (locking happens only in parallel region).
 
void Unlock () const
 Switch lock off if locking has been set.
 
CommonRecursiveMutexGetLock () const
 Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.
 

Protected Attributes

MbCurvecurve
 The curve which determines the axis of the spiral, (can not be nullptr).
 
double radius
 A spiral radius.
 
double wMin
 Minimal value of parameter "curve".
 
double wMax
 Maximal value of parameter "curve".
 
double t0
 The initial angle of the spiral.
 
bool curveSense
 The coincidence of the direction of the spiral axis with the direction of the curve "curve".
 
CurveParams curveParams
 Parameters of spiral (parametric shifts from the beginning of the curve) and parameters of "curve".
 
- Protected Attributes inherited from MbSpiral
MbPlacement3D position
 Local coordinate system (location of center).
 
double step
 A pitch of spiral.
 
double tmin
 Minimal value of parameter of spiral.
 
double tmax
 Maximal value of parameter of spiral.
 
atomic_double metricLength
 Metric length of a curve. More...
 
MbCube cube
 Bounding box of a curve. More...
 
- Protected Attributes inherited from MbCurve3D
SimpleName name
 A curve name. The object data is temporary and used internally.
 

Additional Inherited Members

- Protected Member Functions inherited from MbSpiral
 MbSpiral ()
 The default constructor.
 
 MbSpiral (const MbPlacement3D &pl)
 The constructor by local coordinate system.
 
 MbSpiral (const MbPlacement3D &, double height, double step)
 The constructor by local coordinate system, height and step between coils of spiral.
 
 MbSpiral (const MbPlacement3D &, double step, double t1, double t2)
 The constructor by local coordinate system, step between coils of spiral and parameters. More...
 
 MbSpiral (const MbCartPoint3D &p0, const MbCartPoint3D &p1, const MbCartPoint3D &p2, double step, bool left=false)
 The constructor by three different points and non-zero step. More...
 
 MbSpiral (const MbSpiral &)
 Constructor by another spiral.
 
- Protected Member Functions inherited from MbCurve3D
 MbCurve3D ()
 Default constructor.
 
 MbCurve3D (const MbCurve3D &other)
 Copy-constructor.
 
- Protected Member Functions inherited from MbSpaceItem
 MbSpaceItem ()
 Default constructor.
 
- Protected Member Functions inherited from MbRefItem
 MbRefItem ()
 Constructor without parameters.
 

Detailed Description

Spiral with a curvilinear axis.

Spiral with a constant radius and axis defined by an arbitrary plane curve. Spiral axis is determined by the curve "curve" based in the ZX plane of the local coordinate system of spiral. The Z-axis of the local coordinate system is the X-axis of coordinate system of two-dimensional uv-curve "curve", and the X-axis of the local coordinate system is the Y-axis of the coordinate system of two-dimensional uv-curve "curve", that is shown in fig. 1 below.
The radius-vector of curve in the method PointOn(double&t,MbCartPoint3D&r) is described by a vector function:
r(t) = position.origin + (position.axisX (point.y + (radius cos(t) normal.ay)) + (position.axisY radius sin(t)) + (position.axisZ (point.x + (radius cos(t) normal.ax)), where "point" is point of the curve "curve", "normal" is normal of the curve "curve". Fig. 1 1. ^ X-axis of the local coordinate system of the spiral is Y-axis of the coordinate system of the curve "curve". | | curve(w) |
+-—> Z-axis of the local coordinate system of the spiral is X-axis of the coordinate system of the curve "curve".

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbCrookedSpiral::Duplicate ( MbRegDuplicate iReg = nullptr) const
overridevirtual

Create a copy of the object.

Create a copy of an object using the registrator. Registrator is used to prevent multiple copy of the object. If the object contains references to the other objects, then nested objects are copied as well. It is allowed not to pass registrator into the function. Then new copy of object will be created. While copying of single object or set of not connected objects, it is allowed not to use registrator. Registrator should be used if it is required to copy several connected objects. It is possible, that objects connection is based on the references to common objects. Then, while copying without using of registrator, it is possible to obtain set of copies, that contain references to the different copies of the same nested object, that leads to loss of connection between copies.

Parameters
[in]iReg- Registrator.
Returns
A copy of the object.

Implements MbSpaceItem.

◆ IsSame()

bool MbCrookedSpiral::IsSame ( const MbSpaceItem other,
double  accuracy = LENGTH_EPSILON 
) const
overridevirtual

Determine whether an object is equal.

Still considered objects of the same type, all data is the same (equal).

Parameters
[in]item- The object to compare.
[in]accuracy- The accuracy to compare.
Returns
Whether the objects are equal.

Implements MbSpaceItem.

◆ SetEqual()

bool MbCrookedSpiral::SetEqual ( const MbSpaceItem item)
overridevirtual

Make objects equal if they are similar.

You can still make only a similar objects.

Parameters
[in]item- The object to initialize.
Returns
Object is changed.

Implements MbSpaceItem.

◆ GetProperties()

void MbCrookedSpiral::GetProperties ( MbProperties properties)
overridevirtual

Outstanding properties of the object.

Issue internal data (properties) of the object for viewing and modification.

Parameters
[in]properties- Container for the internal data of the object.

Implements MbSpaceItem.

◆ SetProperties()

void MbCrookedSpiral::SetProperties ( const MbProperties properties)
overridevirtual

Change the properties of an object.

Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.

Parameters
[in]properties- Container for the internal data of the object.

Implements MbSpaceItem.

◆ IsClosed()

bool MbCrookedSpiral::IsClosed ( ) const
overridevirtual

Define whether the curve is periodic.

Define whether the curve is periodic.
A periodic curve is closed. A curve is considered as periodic if:

  • start point is coincident with end point;
  • derivatives in start point and end point coincide;
    if there are breaks at curve (in cases when a curve is contour or polyline), then derivatives may not coincide; in Bezier curve derivatives should coincide by direction, but they may differ by absolute value.
    Curves:
  • MbLine3D,
  • MbLineSegment3D,
  • MbSpiral and inherited classes,
  • MbBridgeCurve3D,
  • MbContour3D (if it contains only a single segment of one of the listed types)
    are not considered periodic when the start and end points coincide. The IsClosed() method always returns false for them.
    Returns
    True if a curve is closed.

Implements MbCurve3D.

◆ PointOn()

void MbCrookedSpiral::PointOn ( double &  t,
MbCartPoint3D p 
) const
overridevirtual

Calculate a point on the curve.

Correct parameter when getting out of domain bounds and calculate a point on the curve.

Parameters
[in]t- Curve parameter.
[out]p- A point on the curve.

Implements MbCurve3D.

◆ _PointOn()

void MbCrookedSpiral::_PointOn ( double  t,
MbCartPoint3D p 
) const
overridevirtual

Calculate point at curve and its extension.

Calculate a point on the curve including the outside area determination parameter.

Parameters
[in]t- Curve parameter.
[out]p- A point on the curve.

Reimplemented from MbCurve3D.

◆ Explore()

void MbCrookedSpiral::Explore ( double &  t,
bool  ext,
MbCartPoint3D pnt,
MbVector3D fir,
MbVector3D sec,
MbVector3D thir 
) const
overridevirtual

Calculate point and derivatives of object for given parameter.

Values of point and derivatives are calculated on parameter area and on extended curve.

Parameters
[in]t- Parameter.
[in]ext- On parameters area (false), on extended curve (true).
[out]pnt- Point.
[out]fir- Derivative with respect to t.
[out]sec- Second derivative with respect to t, if not nullptr.
[out]thir- Third derivative with respect to t, if not nullptr.

Reimplemented from MbCurve3D.

◆ Trimmed() [1/3]

MbCurve3D* MbCrookedSpiral::Trimmed ( double  t1,
double  t2,
int  sense,
const MbDimAccuracy xyzEps,
bool  saveParamLenAndLaw 
) const
overridevirtual

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]xyzEps- Three-dimensional accuracy.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.
Warning
Under development.

Reimplemented from MbCurve3D.

◆ CalculateLength()

double MbCrookedSpiral::CalculateLength ( double  t1,
double  t2 
) const
overridevirtual

Calculate the metric length of a curve.

Calculate the metric length of unclosed curve from parameter t1 to parameter t2. The condition t1 < t2 should satisfied.

Parameters
[in]t1- Start parameter of a curve section.
[in]t2- End parameter of a curve section.
Returns
Length of a curve.

Reimplemented from MbCurve3D.

◆ GetCurveSense()

bool MbCrookedSpiral::GetCurveSense ( ) const
inline

Change radius.

Get attribute of coincidence of the direction on the spiral and axis (curve).

◆ Trimmed() [2/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.

◆ Trimmed() [3/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]xyzEps- Three-dimensional accuracy.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.
Warning
Under development.

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