Contour in three-dimensional space. More...

#include <cur_contour3d.h>

Inheritance diagram for MbContour3D:

Collaboration diagram for MbContour3D:

Public Member Functions
	MbContour3D ()
	Empty contour.

template<class CurvesVector >
	MbContour3D (const CurvesVector &initSegments, bool sameCurves, VERSION version=Math::DefaultMathVersion())
	Constructor by curves vector. More...

Common functions of a geometric object.
MbeSpaceType	IsA () const override
	Get the type of the object.

MbeSpaceType	Type () const override
	Get the group object type.

MbSpaceItem &	Duplicate (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 &) override
	Make objects equal if they are similar. More...

bool	IsSimilar (const MbSpaceItem &) const override
	Determine whether an object is 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	PrepareIntegralData (const bool forced) const override
	Calculate temporary (mutable) data of an object. More...

bool	IsSpaceSame (const MbSpaceItem &item, double eps=METRIC_REGION) const override
	Are the objects identical in space?

Functions describing the domain of a curve.
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...

bool	IsSmoothConnected (double angleEps) const override
	Are joints of contour/curve smooth?

bool	IsStraight (bool ignoreParams=false) const override
	Whether the line is straight?

Functions for working in the domain of a curve.
Functions: PointOn, FirstDer, SecondDer, ThirdDer,... correct the parameter when it is outside domain.
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	Normal (double &t, MbVector3D &) const override
	Calculate main normal vector.

Function for working inside and outside of the curve domain.
Function _PointOn, _FirstDer, _SecondDer, _ThirdDer,... do not correct a parameter when it is outside domain. When parameter is out of domain bounds, an unclosed curve is extended by tangent vector at corresponding end point in general case.
void	_PointOn (double t, MbCartPoint3D &) const override
	Calculate point at curve and its extension. More...

void	_FirstDer (double t, MbVector3D &) const override
	Calculate first derivative at curve and its extension.

void	_SecondDer (double t, MbVector3D &) const override
	Calculate second derivative at curve and its extension.

void	_ThirdDer (double t, MbVector3D &) const override
	Calculate third derivative at curve and its extension.

void	_Normal (double t, MbVector3D &) const override
	Calculate main normal vector (normalized) at curve and its extension.

Functions for get of the group of data inside and outside the curve's domain of parameter.
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...

Functions of the motion along the 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...

double	MetricStep (double t, double length) const override
	Calculate parameter step. More...

Common functions of curve
double	Curvature (double t) const override
	Calculate curvature of curve.

MbNurbs3D *	NurbsCurve (const MbCurveIntoNurbsInfo &) const override
	Construct a NURBS copy of a curve. More...

MbCurve3D *	Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override
	Construct a trimmed curve with the given two-dimensional accuracy. More...

MbResultType	Extend (const MbCurveExtensionParameters3D &parameters, c3d::SpaceCurveSPtr &resCurve) const override
	Extend the curve. More...

void	Inverse (MbRegTransform *iReg=nullptr) override
	Change direction of a curve.

bool	NormalizeReparametrization ()

bool	IsSimilarToCurve (const MbCurve3D &other, double precision=METRIC_PRECISION) const override
	Whether the curves to union (joining) are similar.

bool	NearPointProjection (const MbCartPoint3D &, double &t, bool ext, MbRect1D *tRange=nullptr) const override
	Find the point projection to the contour. More...

double	CalculateMetricLength () const override
	Calculate the metric length of a curve.

double	CalculateLength (double t1, double t2) const override
	Calculate the metric length of a curve. More...

bool	DistanceAlong (double &t, double len, int curveDir, double eps=Math::metricPrecision, VERSION version=Math::DefaultMathVersion()) const override
	Translate parameter along the curve. More...

void	CalculateLocalGabarit (const MbMatrix3D &, MbCube &) const override
	To compute bounding box in a local coordinate system. More...

void	CalculateGabarit (MbCube &) const override
	Calculate bounding box of a curve.

MbCurve *	GetMap (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...

MbCurve *	GetProjection (const MbPlacement3D &place, VERSION version) const override
	Construct a planar projection of a space curve to a plane. More...

size_t	GetCount () const override
	Define the number of splittings for one passage in operations.

void	ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override
	Change the carrier. For surface curves.

double	GetRadius (double accuracy=METRIC_REGION) const override
	Get the physical radius of the curve or zero if it impossible. More...

bool	GetCircleAxis (MbAxis3D &) const override
	Get an axis of a circle which is geometrically coincident to the given curve. More...

void	GetCentre (MbCartPoint3D &) const override
	Give the curve center.

void	GetWeightCentre (MbCartPoint3D &) const override
	Give the gravity center of a curve.

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.

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	GetSurfaceCurve (MbCurve &curve2d, MbSurface &surface, VERSION version=Math::DefaultMathVersion()) const override
	Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)

void	CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
	Build polygonal copy mesh. More...

void	Refresh () override
	Translate all the time (mutable) data objects in an inconsistent (initial) state.

void	GetProperties (MbProperties &) override
	Outstanding properties of the object. More...

void	SetProperties (const MbProperties &) override
	Change the properties 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.

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 derivatives of the length of the joints of the segments. More...

void	GetAnalyticalFunctionsBounds (std::vector< double > &params) const override
	Get the boundaries of the curve sections that are described by one analytical function.

void	GetCurvatureSpecialPoints (std::vector< c3d::DoublePair > &points) const override
	Find all the special points of the curvature function of the curve.

void	BreakPoints (std::vector< double > &vBreaks, double precision=ANGLE_REGION) const override
	\ ru Определение точек излома контура. The determination of contour smoothness break points.

virtual MbCurve3D *	Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
	Construct a trimmed curve. More...

virtual MbCurve3D *	Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const
	Construct a trimmed curve with the given two-dimensional accuracy. More...

Function for working with segments of contour
template<class CurvesVector >
bool	Init (const CurvesVector &initSegments, bool sameCurves, bool cls, VERSION version=Math::DefaultMathVersion())
	Initialization by array of curves. More...

template<class PointsVector >
bool	Init (const PointsVector &points, bool doClosed=true)
	Initialize by points.

ptrdiff_t	FindSegment (double &t, double &tSeg) const
	Find a contour segment. More...

double	FindParameter (size_t iSeg, double tSeg) const
	Find a contour segment. More...

size_t	GetSegmentsCount () const
	Get the number of contour segments.

template<class CurvesVector >
void	GetSegments (CurvesVector &curves) const
	Get contour segments.

void	DetachSegments ()
	Detach all segments of contour.

void	DeleteSegments ()
	Delete used segments and remove other segments.

void	DeleteSegment (size_t ind)
	Delete the segment of contour.

MbCurve3D *	DetachSegment (size_t ind)
	Detach the segment of contour.

const MbCurve3D *	GetSegment (size_t ind) const
	Get contour segment by the index.

MbCurve3D *	SetSegment (size_t ind)
	Get contour segment by the index.

void	SetSegment (MbCurve3D &newSegment, size_t ind, bool same)
	Replace a segment in the contour.

void	AddSegment (MbCurve3D &newSegment, bool same, VERSION version=Math::DefaultMathVersion())
	Add a segment to the contour.

void	AddAtSegment (MbCurve3D &newSegment, size_t ind, bool same)
	Add a segment to the contour before the segment with index ind.

void	AddAfterSegment (MbCurve3D &newSegment, size_t ind, bool same)
	Add a segment to the contour after the segment with index ind.

MbCurve3D *	AddSegment (MbCurve3D &pBasis, double t1, double t2, int sense)
	Add a (truncated) segment copy to the end of the contour. More...

void	SegmentsAdd (MbCurve3D &newSegment, bool calculateParamLength=true)
	Add a segment to the contour without checking.

bool	GetCornerAngle (size_t index, MbCartPoint3D &origin, MbVector3D &axis, MbVector3D &tau, double &angle, double angleEps) const

void	Clear ()
	Reset variables caching.

bool	IsSimple () const
	Whether the contour consists of the segments and arcs? Control of memory allocation in the array "segments".

void	SegmentsReserve (size_t additionalSpace)
	Reserve space.

void	SegmentsAdjust ()
	Free the unnecessary memory.

bool	AddCurveWithRuledCheck (MbCurve3D &curve, double absEps, bool toEndOnly=false, bool checkSame=true, VERSION version=Math::DefaultMathVersion())
	Add the new element to the beginning or end of contour. More...

bool	CheckConnection (double eps=METRIC_PRECISION) const
	Check for contour continuity.

void	CalculateParamLength ()
	Calculate parametric length.

void	CheckClosed (double)
	Set the closedness attribute of contour. Whether contours contains identical segments.

bool	IsSameSegments (const MbContour3D &, double accuracy=METRIC_PRECISION) const

void	FindCorner (size_t index, MbCartPoint3D &) const
	Finding the point of a contour segment by segment index.

bool	SetBegEndPoint (double t)
	Set the start (end) point for closed contour.

Functions for working with names of contours.
void	GetSegmentsNames (SimpleNameArray &names) const
	Get names of segments. More...

void	SetSegmentsNames (const SimpleNameArray &names)
	Set names of segments. More...

Public Member Functions inherited from MbCurve3D
virtual	~MbCurve3D ()
	Destructor.

virtual void	Accept (Visitor &visitor)
	Implementation of a function initializing a visit of an object.

size_t	size () const
	Size of curve interpreted as vector of curves.

const MbCurve3D *	operator[] (size_t) const
	An access operator.

MbeSpaceType	Type () const override
	Get the group object type.

MbeSpaceType	Family () const override
	Get family of objects.

virtual MbCurve3D &	InverseDuplicate () 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 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	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	_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...

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 MbCurve3D &	GetBasisCurve () const
	Returns the base curve if exists or itself.

virtual MbCurve3D &	SetBasisCurve ()
	Returns the base curve if exists or itself.

virtual void	ThirdMetricDer (double t, MbVector3D &vect) const
	Calculate second derivative of tangent.

MbNurbs3D *	NurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const
	Construct a NURBS copy of a curve. More...

virtual MbCurve3D *	NurbsCurve (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 MbCurve3D *	Trimmed (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	GetMetricLength () const
	Calculate the metric length of a curve.

virtual double	GetLengthEvaluation () const
	Calculate the metric length of a 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 bool	ChangeCarrierBorne (const MbSpaceItem &item, MbSpaceItem &init, const MbMatrix &matr)
	Change the carrier. More...

MbProperty &	CreateProperty (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 MbCurve *	GetMapPsp (const MbMatrix3D &into, double zNear, MbRect1D *pRegion=nullptr) const
	Construct a planar projection of a piece of a space curve. 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.

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 MbCurve3D &	GetSubstrate () const
	Get a substrate or itself.

virtual MbCurve3D &	SetSubstrate ()
	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...

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?

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.

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.

CommonRecursiveMutex *	GetLock () const
	Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.

Protected Member Functions
	MbContour3D (const MbContour3D &, MbRegDuplicate *)
	Copy constructor.

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
RPArray< MbCurve3D >	segments
	A set of contour segments.

bool	closed
	An attribute of curve closedness.

double	paramLength
	Parametric length of a contour.

Protected Attributes inherited from MbCurve3D
SimpleName	name
	A curve name. The object data is temporary and used internally.

Detailed Description

Contour in three-dimensional space.

Contour is a composite curve in which the beginning of each subsequent segment is joined to the end of the previous one. Contour is closed if the end of last segment is joined to the beginning of the first segment.
If the segments of a composite curve are not smoothly joined then the composite curve will have breaks. In general case in places of joining segments derivatives of a composite curve have discontinuity along the length and direction.
The initial value of the composite curve is equal to zero. The parametric length of a composite curve is equal to the sum of the parametric lengths of components of its segments.
When the calculation of the radius-vector of a composite curve segment is determined at first, the value of composite curve parameter and the corresponding value of the own parameters of this segment corresponds to this segment. Then computes the radius-vector of the segment which will be the radius-vector of the composite curve.
Other composite curves are not used as segments of the composite curve. If it is required to create a composite curve based on other composite curves, then the latter must be regarded as a set of their curves, and not as single curves.
The three-dimensional contour is used for space modeling e.g. for describing trajectories.

Constructor & Destructor Documentation

◆ MbContour3D()

template<class CurvesVector >

MbContour3D::MbContour3D	(	const CurvesVector &	initSegments,
		bool	sameCurves,
		VERSION	version = `Math::DefaultMathVersion()`
	)

Constructor by curves vector.

Constructor by curves vector. Curves are added to the contour without checking that the beginning of each subsequent segment joins the end of the previous one, and without checking for self-intersection of the contour. The conditions must be guaranteed by the calling code.

Parameters

[in]	initSegments	- Curves.
[in]	sameCurves	- Use original curves (true) or copies thereof (false).
[in]	version	- Version.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbContour3D::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 MbContour3D::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 MbContour3D::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.

◆ IsSimilar()

bool MbContour3D::IsSimilar ( const MbSpaceItem & item ) const

overridevirtual

Determine whether an object is similar.

Such are considered the same objects whose data are similar.

Parameters

[in] item - The object to compare.

Returns: Whether the objects are similar.

Reimplemented from MbSpaceItem.

◆ Transform()

void MbContour3D::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 MbContour3D::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 MbContour3D::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 MbContour3D::DistanceToPoint ( const MbCartPoint3D & point ) const

overridevirtual

Determine the distance to the point.

Parameters

[in] point - Point.

Returns: Distance to point

Implements MbSpaceItem.

◆ PrepareIntegralData()

void MbContour3D::PrepareIntegralData ( const bool forced ) const

overridevirtual

Calculate temporary (mutable) data of an object.

Calculate the temporary data of an object depending of the "forced" parameter. Calculate only data that was not calculated earlier if parameter "forced" is equal false. Recalculate all temporary data of an object if parameter "forced" is equal true.

Parameters

[in] forced - Forced recalculation.

Reimplemented from MbCurve3D.

◆ IsClosed()

bool MbContour3D::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 MbContour3D::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 MbContour3D::_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 MbContour3D::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.

◆ Step()

double MbContour3D::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 MbContour3D::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.

◆ MetricStep()

double MbContour3D::MetricStep	(	double	t,
		double	length
	)		const

overridevirtual

Calculate parameter step.

Calculate the parameter step for approximation of a curve by the given metric length of a step along a curve.

Parameters

[in]	t	- A parameter defining the point on a curve, at which a step should be calculated.
[in]	len	- Maximum metric length of a step along a curve.

Returns: A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ NurbsCurve()

MbNurbs3D* MbContour3D::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.

◆ Trimmed() [1/3]

MbCurve3D* MbContour3D::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.

◆ Extend()

MbResultType MbContour3D::Extend	(	const MbCurveExtensionParameters3D &	parameters,
		c3d::SpaceCurveSPtr &	resCurve
	)		const

overridevirtual

Extend the curve.

Extend the curve according to the given parameters.

Parameters

[in]	parameters	- Parameters of extension.
[out]	resCurve	- The extended curve or nullptr if extension is impossible.

Returns: Returns error status or rt_Success if all is OK.

Reimplemented from MbCurve3D.

◆ NearPointProjection()

bool MbContour3D::NearPointProjection	(	const MbCartPoint3D &	,
		double &	t,
		bool	ext,
		MbRect1D *	tRange = `nullptr`
	)		const

overridevirtual

Find the point projection to the contour.

Find the nearest projection of a point to the contour within the parameter range or its extension. By default ('tRange' = nullptr), the parameter range coincides with the contour's domain. If the 'tRange' is defined, the parameter range aligns with the 'tRange' (range may not belong to the contour's domain). The method's results depend on the 'ext' flag. When 'ext' = true, the parameter 't' is assigned the value corresponding to the nearest projection within the parameter range or its extension. The method's result is true. When 'ext' = false, the method searches for the nearest projection only within the parameter range. If a projection is found, the parameter 't' is assigned the corresponding value. The method's result is true. If the nearest projection is not found, the projection is confined within the range, and the parameter 't' is assigned the value corresponding to the nearest boundary of the range. The method's result is false. If there are multiple equidistant projections with the minimum distance, the selection is made according to the following rules:

when 'ext' = true, a point within the parameter range is always returned;
among the projections within the parameter range, the projection with the minimum parameter value is chosen;

if all nearest projections are located outside the parameter range ('ext' = true), the projection closest to the contour's domain is chosen. Newton's method is used.

Parameters

[in]	pnt	- A given point.
[in]	xEpsilon	- A tolerance of detection of the projection by x axis.
[in]	yEpsilon	- A tolerance of detection of the projection by y axis.
[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.

◆ CalculateLength()

double MbContour3D::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.

◆ DistanceAlong()

bool MbContour3D::DistanceAlong	(	double &	t,
		double	len,
		int	curveDir,
		double	eps = `Math::metricPrecision`,
		VERSION	version = `Math::DefaultMathVersion()`
	)		const

overridevirtual

Translate parameter along the curve.

Translate parameter along the curve by the given distance at the given direction. The new value of parameter is saved in the variable t. If the curve is not closed and the length of its part from the point with parameter t to the end at the given direction is less than the required shift, then calculations are performed on extension of the curve, if it possible to construct such extension.

Parameters

[in,out]	t	- Input - the initial value of parameter. Output - the new value of parameter.
[in]	len	- The value of shift along the curve.
[in]	curveDir	- The offset direction. If curveDir is non-negative, then the shift is directed to the side of increasing of parameter. Otherwise - to the side of decreasing of parameter.
[in]	eps	- Computational tolerance.

Returns: True - if the operation is performed successfully, otherwise false.

Reimplemented from MbCurve3D.

◆ CalculateLocalGabarit()

void MbContour3D::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.

◆ GetMap()

MbCurve* MbContour3D::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.

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.

◆ GetProjection()

MbCurve* MbContour3D::GetProjection	(	const MbPlacement3D &	place,
		VERSION	version
	)		const

overridevirtual

Construct a planar projection of a space curve to a plane.

Parameters

[in]	place	- A plane.
[in]	version	- The version of mathematics.

Returns: Two-dimensional projection of a curve

Reimplemented from MbCurve3D.

◆ GetRadius()

double MbContour3D::GetRadius ( double accuracy = METRIC_REGION ) const

overridevirtual

Get the physical radius of the curve or zero if it impossible.

Generally returns 0. A non-zero value may be obtained only when the curve is an arc or is equal to an arc with the set precision (METRIC_REGION by default). \params[in] accuracy - The maximum curve deviation from an arc (METRIC_REGION by default).

Returns: Radius value if it can be obtained or 0.0.

Reimplemented from MbCurve3D.

◆ GetCircleAxis()

bool MbContour3D::GetCircleAxis ( MbAxis3D & axis ) const

overridevirtual

Get an axis of a circle which is geometrically coincident to the given curve.

Parameters

[out] axis - An axis with the origin at circle's center and direction along the normal of circle's plane.

Reimplemented from MbCurve3D.

◆ GetPlaneCurve()

bool MbContour3D::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.

◆ CalculateMesh()

void MbContour3D::CalculateMesh	(	const MbStepData &	stepData,
		const MbFormNote &	note,
		MbMesh &	mesh
	)		const

overridevirtual

Build polygonal copy mesh.

Build a polygonal copy of the object that is represented by polygons or/and fasets.

Parameters

[in]	stepData	- Data for еру step calculation for polygonal object.
[in]	note	- Way for polygonal object constructing.
[in,out]	mesh	- The builded polygonal object.

Implements MbSpaceItem.

◆ GetProperties()

void MbContour3D::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 MbContour3D::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.

◆ IsContinuousDerivative()

bool MbContour3D::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 of the derivative at length or at direction in the junction of path segments?

Parameters

[out]	contLength	- The length is continuous (true/false).
[out]	contDirect	- The direction of the first derivative is continuous (true/false).
[out]	params	- The parameters of the points at which the direction break occurs.
[in]	epsilon	- The accuracy of the calculation.

Reimplemented from MbCurve3D.

◆ SetContinuousDerivativeLength()

bool MbContour3D::SetContinuousDerivativeLength	(	VERSION	version,
		double	epsilon = `EPSILON`
	)

overridevirtual

Eliminate the discontinuities of the derivatives of the length of the joints of the segments.

Parameters

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

Reimplemented from MbCurve3D.

◆ Init()

template<class CurvesVector >

bool MbContour3D::Init	(	const CurvesVector &	initSegments,
		bool	sameCurves,
		bool	cls,
		VERSION	version = `Math::DefaultMathVersion()`
	)

Initialization by array of curves.

Initialization by array of curves. Curves are added to the contour without checking that the beginning of each subsequent segment joins the end of the previous one. The condition must be guaranteed by the calling code.

Parameters

[in]	initSegments	- Curves.
[in]	sameCurves	- Use original curves (true) or copies thereof (false).
[in]	cls	- An Attribute of curve closedness.
[in]	version	- Version.

Returns: Returns true if curves were added.

◆ FindSegment()

ptrdiff_t MbContour3D::FindSegment	(	double &	t,
		double &	tSeg
	)		const

Find a contour segment.

Find a contour segment by parameter on contour.

Parameters

[in,out]	t	- Contour parameter.
[out]	tSeg	- Contour segment parameter.

Returns: Returns the segment number in case of successful execution or -1.

◆ FindParameter()

double MbContour3D::FindParameter	(	size_t	iSeg,
		double	tSeg
	)		const

Find a contour segment.

Find a contour parameter by segment number and segment parameter.

Parameters

[in]	iSeg	- Segment nukmber (index).
[in]	tSeg	- Segment parameter.

Returns: Returns the contour parameter or UNDEFINED_DBL if fdailure.

◆ AddSegment()

MbCurve3D* MbContour3D::AddSegment	(	MbCurve3D &	pBasis,
		double	t1,
		double	t2,
		int	sense
	)

Add a (truncated) segment copy to the end of the contour.

Parameters

[in]	pBasis-	Initial curve.
[in]	t1	- Truncation starting parameter.
[in]	t2	- Truncation ending parameter.
[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.

Returns: Returns, if successful, a non-zero pointer to the added curve.

◆ AddCurveWithRuledCheck()

bool MbContour3D::AddCurveWithRuledCheck	(	MbCurve3D &	curve,
		double	absEps,
		bool	toEndOnly = `false`,
		bool	checkSame = `true`,
		VERSION	version = `Math::DefaultMathVersion()`
	)

Add the new element to the beginning or end of contour.

Parameters

[in]	curve	- Added curve.
[in]	absEps	- Accuracy of verification of curve end coincidence (1e-8 - 1e-4).
[in]	toEndOnly	- Add the curve only at the end of the contour.
[in]	checkSame	- Check a presence of the same curve in the contour.
[in]	checkSame	- Version.

Returns: Returns true if the curve was added.

◆ GetSegmentsNames()

void MbContour3D::GetSegmentsNames ( SimpleNameArray & names ) const

Get names of segments.

Get names of contour segments.

Parameters

[out] names - Names of segments

◆ SetSegmentsNames()

void MbContour3D::SetSegmentsNames ( const SimpleNameArray & names )

Set names of segments.

Set names of contour segments by array of names.

Parameters

[in] names - A set of names.

◆ 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:

cur_contour3d.h

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ MbContour3D()

Member Function Documentation

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ IsSimilar()

◆ Transform()

◆ Move()

◆ Rotate()

◆ DistanceToPoint()

◆ PrepareIntegralData()

◆ IsClosed()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ Step()

◆ DeviationStep()

◆ MetricStep()

◆ NurbsCurve()

◆ Trimmed() [1/3]

◆ Extend()

◆ NearPointProjection()

◆ CalculateLength()

◆ DistanceAlong()

◆ CalculateLocalGabarit()

◆ GetMap()

◆ GetProjection()

◆ GetRadius()

◆ GetCircleAxis()

◆ GetPlaneCurve()

◆ CalculateMesh()

◆ GetProperties()

◆ SetProperties()

◆ IsContinuousDerivative()

◆ SetContinuousDerivativeLength()

◆ Init()

◆ FindSegment()

◆ FindParameter()

◆ AddSegment()

◆ AddCurveWithRuledCheck()

◆ GetSegmentsNames()

◆ SetSegmentsNames()

◆ Trimmed() [2/3]

◆ Trimmed() [3/3]