C3D Toolkit  Kernel - 117982, Vision - 2.9.2.2

Polyline in three-dimensional space. More...

#include <cur_polyline3d.h>

+ Inheritance diagram for MbPolyline3D:
+ Collaboration diagram for MbPolyline3D:

Public Member Functions

 MbPolyline3D (const MbCartPoint3D &p1, const MbCartPoint3D &p2)
 Constructor of a segment.
 
 MbPolyline3D (const SArray< MbCartPoint3D > &initList, bool cls)
 Constructor by points and closedness state.
 
 MbPolyline3D (const std::vector< MbCartPoint3D > &initList, bool cls)
 Constructor by points and closedness state.
 
 MbPolyline3D (const MbPolyline &, const MbPlacement3D &)
 Constructor by planar polyline.
 
 MbPolyline3D (const CcArray< MbCartPoint3D > &initList, ptrdiff_t count, bool cls, double scale)
 Used in converter of Parasolid.
 
void Init (const MbPolyline3D &)
 Initialization by another polyline.
 
void Init (const MbPolyline &, const MbPlacement3D &)
 Initialization by another planar polyline.
 
template<class PointsVector >
bool Init (const PointsVector &initList, bool cls)
 Initialization by points and an attribute of closedness.
 
void Init (const MbCartPoint3D &p1, const MbCartPoint3D &p2)
 Construction of a rectangle.
 
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 &, 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...
 
double DistanceToPoint (const MbCartPoint3D &) const override
 Determine the distance to the point. More...
 
void GetProperties (MbProperties &) override
 Outstanding properties of the object. More...
 
void SetProperties (const MbProperties &) override
 Change the properties of an object. More...
 
void PointOn (double &t, MbCartPoint3D &) const override
 Calculate a point on the curve. More...
 
void FirstDer (double &t, MbVector3D &) const override
 Calculate first derivative.
 
void SecondDer (double &t, MbVector3D &) const override
 Calculate second derivative.
 
void ThirdDer (double &t, MbVector3D &) const override
 Calculate third derivative.
 
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...
 
MbNurbs3DNurbsCurve (const MbCurveIntoNurbsInfo &) const override
 Construct a NURBS copy of a curve. More...
 
MbCurve3DNurbsCurve (const MbNurbsParameters &) const override
 Construct a NURBS copy of a curve. More...
 
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 GetTMin () const override
 Get the minimum value of parameter.
 
double GetTMax () const override
 Get the maximum value of parameter.
 
void Inverse (MbRegTransform *iReg=nullptr) override
 Change direction of a 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...
 
bool IsStraight (bool ignoreParams=false) const override
 Whether the line is straight?
 
void CalculateGabarit (MbCube &) const override
 Calculate bounding box of a curve.
 
void CalculateLocalGabarit (const MbMatrix3D &, MbCube &) const override
 To compute bounding box in a local coordinate system. More...
 
double CalculateMetricLength () const override
 Calculate the metric length of a curve.
 
void GetCentre (MbCartPoint3D &wc) const override
 Give the curve center.
 
void GetWeightCentre (MbCartPoint3D &wc) const override
 Give the gravity center of a curve.
 
bool GetPlaneCurve (MbCurve *&curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const override
 Get planar curve and placement if the space curve is planar. More...
 
bool NearPointProjection (const MbCartPoint3D &, double &t, bool ext, MbRect1D *tRange=nullptr) const override
 Find the point projection to the curve. More...
 
void CheckParameter (double &) const
 Check parameter.
 
MbCurveGetMap (const MbMatrix3D &, MbRect1D *pRgn=nullptr, VERSION version=Math::DefaultMathVersion(), bool *coincParams=nullptr) const override
 Construct a planar projection of a piece of a space curve. More...
 
MbCurveGetMapPsp (const MbMatrix3D &, double zNear, MbRect1D *pRgn=nullptr) const override
 Construct a planar projection of a piece of a space curve. More...
 
size_t GetCount () const override
 Define the number of splittings for one passage in operations.
 
bool IsSmoothConnected (double angleEps) const override
 Are joints of contour/curve smooth?
 
bool IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const override
 Have the first derivative of the curve the continuous length and direction? More...
 
bool SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) override
 Eliminate the discontinuities of the first derivative at length. More...
 
double Step (double t, double sag, ThreeStates dir) const
 Step of parameter with consideration of curvature.
 
double DeviationStep (double t, double angle, ThreeStates dir) const
 Step of parameter by a given angle of deviation of tangent.
 
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 MbPolyCurve3D
MbeSpaceType Type () const override
 Get the group object type.
 
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 GetBasisItems (RPArray< MbSpaceItem > &) override
 Outstanding reference objects in a container sent.
 
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.
 
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...
 
bool IsPlanar (double accuracy=METRIC_EPSILON) const override
 Is a curve planar?
 
bool GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const override
 Fill the placement if a curve is planar.
 
template<class PointsVector >
void GetPoints (PointsVector &pnts) const
 Get array of control points.

 
template<class SegmentsVector >
void GetLineSegments (SegmentsVector &segments, double eps=PARAM_REGION) const
 Get the array of segments.
 
- 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 _PointOn (double t, MbCartPoint3D &p) const
 Calculate point at curve and its extension. More...
 
virtual void _FirstDer (double t, MbVector3D &) const
 Calculate first derivative at curve and its extension.
 
virtual void _SecondDer (double t, MbVector3D &) const
 Calculate second derivative at curve and its extension.
 
virtual void _ThirdDer (double t, MbVector3D &) const
 Calculate third derivative at curve and its extension.
 
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 double Curvature (double t) const
 Calculate curvature of curve.
 
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 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 CalculateLength (double t1, double t2) const
 Calculate the metric length of a curve. More...
 
virtual bool DistanceAlong (double &t, double len, int curveDir, double eps=Math::metricPrecision, VERSION version=Math::DefaultMathVersion()) const
 Translate parameter along the curve. More...
 
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 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 MbeNewtonResult PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &t, bool ext) 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 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.
 
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.
 
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 IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const
 Is the object is a shift?
 
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.
 

Additional Inherited Members

- 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.
 
- Protected Attributes inherited from MbPolyCurve3D
ptrdiff_t uppIndex
 Count of curve pieces (is equal to count of control points minus one).
 
SArray< MbCartPoint3DpointList
 Set of control points.
 
bool closed
 An attribute of curve closedness.
 
atomic_double metricLength
 Metric length of curve.
 
atomic_double lengthEvaluation
 Estimated length of a curve.
 
MbCube cube
 Bounding box of curve.
 
- Protected Attributes inherited from MbCurve3D
SimpleName name
 A curve name. The object data is temporary and used internally.
 

Detailed Description

Polyline in three-dimensional space.

Polyline in three-dimensional space is defined by 'pointList' control points. Parameters of polyline at control points take on integer values starting from zero. Polyline passes through its control points at integer values of parameter. Parameter of a polyline changes from zero to 'k', where 'k' - count of control points minus one for an open polyline and 'k' - count of control points for a closed polyline. Derivative of polyline is constant at each piece and is equal to vector constructed between two neighboring control points.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbPolyline3D::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 MbPolyline3D::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 MbPolyline3D::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.

◆ Transform()

void MbPolyline3D::Transform ( const MbMatrix3D matr,
MbRegTransform iReg = nullptr 
)
overridevirtual

Convert the object according to the matrix.

Convert the original object according to the matrix using the registrator. If object contains references to the other geometric objects, then nested objects are transformed according to the matrix. Registrator is needed to prevent multiple object copying. It is allowed to use function without registrator, if it is needed to transform single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be transformed.

Parameters
[in]matr- Transformation matrix.
[in]iReg- Registrator.

Implements MbSpaceItem.

◆ Move()

void MbPolyline3D::Move ( const MbVector3D to,
MbRegTransform iReg = nullptr 
)
overridevirtual

Move an object along a vector.

Move an object along a geometric vector using the registrator. If object contains references to the other geometric objects then the move operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be moved.

Parameters
[in]to- Shift vector.
[in]iReg- Registrator.

Implements MbSpaceItem.

◆ Rotate()

void MbPolyline3D::Rotate ( const MbAxis3D axis,
double  angle,
MbRegTransform iReg = nullptr 
)
overridevirtual

Rotate an object around an axis at a given angle.

Rotate an object around an axis at a given angle with the registrator. If object contains references to the other geometric objects then the rotation operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be rotated.

Parameters
[in]axis- The axis of rotation.
[in]angle- Rotation.
[in]iReg- Registrator.

Implements MbSpaceItem.

◆ DistanceToPoint()

double MbPolyline3D::DistanceToPoint ( const MbCartPoint3D point) const
overridevirtual

Determine the distance to the point.

Determine the distance to the point.

Parameters
[in]point- Point.
Returns
Distance to point

Implements MbSpaceItem.

◆ GetProperties()

void MbPolyline3D::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 MbPolyline3D::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.

◆ PointOn()

void MbPolyline3D::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.

◆ Explore()

void MbPolyline3D::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.

◆ NurbsCurve() [1/2]

MbNurbs3D* MbPolyline3D::NurbsCurve ( const MbCurveIntoNurbsInfo nInfo) const
overridevirtual

Construct a NURBS copy of a curve.

Constructs a NURBS curve which approximates a given curve inside the range [t1, t2]. with a given direction. If it is possible, constructs the accurate curve, perhaps with multiple knots. The number of knots for NURBS is defined depending on the curve.

Parameters
[in]t1- Parameter corresponding to start of approximated part of a curve.
[in]t2- Parameter corresponding to end of approximated part of a curve.
[in]sense- Does the direction of parameter increasing along the NURBS curve coincide with direction of the initial curve. 'sense' > 0 - direction coincide.
[in]nInfo- Parameters of conversion of a curve to NURBS.
Returns
The constructed NURBS curve or nullptr in a case of failure.

Reimplemented from MbCurve3D.

◆ NurbsCurve() [2/2]

MbCurve3D* MbPolyline3D::NurbsCurve ( const MbNurbsParameters tParameters) const
overridevirtual

Construct a NURBS copy of a curve.

Constructs a NURBS curve which approximates a given curve with the given parameters. In parameters the degree and the number of knots of a spline and the range of curve's parameters changing may be set. If the flag of accurate approximation is not set in parameters then NURBS without multiple knots is constructed.

Parameters
[in]tParameters- Parameters for the construction of a NURBS copy of the curve.
Returns
The constructed NURBS curve or nullptr in a case of failure.

Reimplemented from MbCurve3D.

◆ Trimmed() [1/3]

MbCurve3D* MbPolyline3D::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.

◆ Step()

double MbPolyline3D::Step ( double  t,
double  sag 
) const
overridevirtual

Calculate parameter step.

Calculate parameter step for the curve's approximation by its sag value. Calculation of the step is performed with consideration of curvature radius. A step of curve's approximation is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters
[in]t- A parameter defining the point on a curve, at which a step should be calculated.
[in]sag- Maximum feasible sag value.
Returns
A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ DeviationStep()

double MbPolyline3D::DeviationStep ( double  t,
double  ang 
) const
overridevirtual

Calculate parameter step.

Calculate parameter step for the curve's approximation by the deviation angle of the tangent vector. A step of curve's approximation is chosen in such way, that angular deviation of the tangent curve at the next point does not exceed the given value ang.

Parameters
[in]t- A parameter defining the point on a curve, at which a step should be calculated.
[in]ang- The maximum feasible deviation angle of tangent.
Returns
A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ CalculateLocalGabarit()

void MbPolyline3D::CalculateLocalGabarit ( const MbMatrix3D into,
MbCube cube 
) const
overridevirtual

To compute bounding box in a local coordinate system.

To obtain bounding box of object with regar to a local coordinate system, sent box is made to be empty. Then it is computed bounding box of object in a local coordinate system \ and it is stored in box 'cube'

Parameters
[in]into- Transformation matrix from object's current coordinate system to a local coordinate system
[in,out]cube- Information on bounding box

Implements MbSpaceItem.

◆ GetPlaneCurve()

bool MbPolyline3D::GetPlaneCurve ( MbCurve *&  curve2d,
MbPlacement3D place,
bool  saveParams,
PlanarCheckParams  params = PlanarCheckParams() 
) const
overridevirtual

Get planar curve and placement if the space curve is planar.

Get planar curve and placement if the space curve is planar (after the using call DeleteItem for two-dimensional curves).

Parameters
[out]curve2d- The resulting flat curve.
[out]place- The coordinate system of the resulting 2D curve.
[in]saveParams- The parameter specifying the preservation of the correspondence of the parameterization for the two-dimensional curve. If true - parameterization of curve2d curve must match the parameterization of the original curve this. If false - curve parameterizations may not correspond. The curve2d is more likely to be detected than with the true flag.
[in]params- Validation parameters.
Returns
true if a flat curve was created.

Reimplemented from MbCurve3D.

◆ NearPointProjection()

bool MbPolyline3D::NearPointProjection ( const MbCartPoint3D pnt,
double &  t,
bool  ext,
MbRect1D tRange = nullptr 
) const
overridevirtual

Find the point projection to the curve.

Find the nearest projection of a point on a curve (in the range of the curve) or on its continuation by the given initial approximation. If the parameter ext = true, then also search for a projection on the continuation of the curve. If the range of change of the 'tRange' parameter is specified, then find the projection in the specified range. A range of parameter may not belong to the domain of a curve. The Newton method is used.

Parameters
[in]pnt- A given point.
[in,out]t- Input - initial approximation, output - parameter of a curve corresponding to the nearest projection.
[in]ext- A flag defining whether to seek projection on the extension of the curve.
[in]tRange- A range of parameter changing in which the solution should be found.
Returns
Returns true if the found parameter is in a valid range (according to the given ext, tRange parameters), or false - otherwise.

Reimplemented from MbCurve3D.

◆ GetMap()

MbCurve* MbPolyline3D::GetMap ( const MbMatrix3D into,
MbRect1D pRegion = nullptr,
VERSION  version = Math::DefaultMathVersion(),
bool *  coincParams = nullptr 
) const
overridevirtual

Construct a planar projection of a piece of a space curve.

Construct a planar projection of a piece of a space curve.

Parameters
[in]into- The transformation matrix from the global coordinate system into a plane of view.
[in]pRegion- A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve..
[in]version- Version, last by default.
[in,out]coincParams- A flag of coincidence between parameterization of initial curve and its projection

if coincParams != nullptr then the function tries to create a projection with coincident parameterization
if *coincParams = true then parameterization of projection coincides with parameterization of initial curve.
Returns
Two-dimensional projection of a curve

Reimplemented from MbCurve3D.

◆ GetMapPsp()

MbCurve* MbPolyline3D::GetMapPsp ( const MbMatrix3D into,
double  zNear,
MbRect1D pRegion = nullptr 
) const
overridevirtual

Construct a planar projection of a piece of a space curve.

Construct a planar projection of a piece of a space curve for the perspective visualization.

Parameters
[in]into- The transformation matrix from the global coordinate system into a plane of view.
[in]zNear- The parameter of the perspective visualization which is equal to the distance between the observation point and the plane of view (negative).
[in]pRegion- A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve..
Returns
Two-dimensional projection of a curve

Reimplemented from MbCurve3D.

◆ IsContinuousDerivative()

bool MbPolyline3D::IsContinuousDerivative ( bool &  contLength,
bool &  contDirect,
c3d::DoubleVector params = nullptr,
double  epsilon = EPSILON 
) const
overridevirtual

Have the first derivative of the curve the continuous length and direction?

Are absent any discontinuities at length or at direction of first derivative of the curve?

Parameters
[out]contLength- The length is continuous (true/false).
[out]contDirect- The direction of the first derivative is continuous (true/false).
[in]epsilon- The accuracy of the calculation.

Reimplemented from MbCurve3D.

◆ SetContinuousDerivativeLength()

bool MbPolyline3D::SetContinuousDerivativeLength ( VERSION  version,
double  epsilon = EPSILON 
)
overridevirtual

Eliminate the discontinuities of the first derivative at length.

Eliminate the discontinuities of the first derivatives of the length.

Parameters
[in]epsilon- The accuracy of the calculation.
[in]version- Math version.

Reimplemented from MbCurve3D.

◆ 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: