Contour in two-dimensional space. More...

#include <cur_contour.h>

Inheritance diagram for MbContour:

Collaboration diagram for MbContour:

Public Member Functions
	MbContour ()
	Empty contour.

template<class Curves >
	MbContour (const Curves &initCurves, bool sameCurves)
	Constructor by curves vector. More...

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

MbePlaneType	Type () const override
	Get the group type of the object.

MbPlaneItem &	Duplicate (MbRegDuplicate *=nullptr) const override
	Create a copy. More...

bool	IsSimilar (const MbPlaneItem &) const override
	Determine whether the objects are similar. More...

bool	SetEqual (const MbPlaneItem &) override
	Make the objects equal. More...

bool	IsSame (const MbPlaneItem &, double accuracy=LENGTH_EPSILON) const override
	Determine whether objects are equal. More...

void	Transform (const MbMatrix &, MbRegTransform ireg=nullptr, const MbSurface newSurface=nullptr) override
	Transform according to the matrix. More...

void	Move (const MbVector &, MbRegTransform =nullptr, const MbSurface newSurface=nullptr) override
	Translate along a vector. More...

void	Rotate (const MbCartPoint &, const MbDirection &angle, MbRegTransform =nullptr, const MbSurface newSurface=nullptr) override
	Rotate about a point. More...

MbCurve *	Offset (double rad) const override
	Construct the equidistant curve which is shifted by the given value. More...

void	AddYourGabaritTo (MbRect &) const override
	Extend the given bounding rectangle so that it encloses this object.

void	CalculateGabarit (MbRect &) const override
	Detect the bounding box of a curve. More...

void	CalculateLocalGabarit (const MbMatrix &into, MbRect &local) const override
	Calculate bounding box in the local coordinate system. More...

const MbRect &	GetGabarit () const

const MbRect &	GetCube () const

void	SetDirtyGabarit () const
	Reset the calculated contour bounding box.

void	CopyGabarit (const MbContour &c)
	Copy contour bounding box to contour copy (use only to transfer into contour copy).

bool	IsGabaritEmpty () const
	Is the contour bounding box empty?

double	DistanceToPoint (const MbCartPoint &) const override
	Calculate the distance to a point.

MbeState	Deformation (const MbRect &, const MbMatrix &) override
	Deform the curve. More...

bool	IsInRectForDeform (const MbRect &) const override
	Determine visibility of a curve in rectangle.

void	Refresh () override
	Set all temporary (mutable) data of object to undefined (initial) state.

void	PrepareIntegralData (const bool forced) const override
	Calculate temporary (mutable) data of an object. More...

MbeState	DeletePart (double t1, double t2, MbCurve *&part2) override
	Delete the piece of a curve. More...

MbeState	TrimmPart (double t1, double t2, MbCurve *&part2) override
	Keep the piece of a curve. More...

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

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

virtual MbCurve *	Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw) const=0
	Construct a trimmed curve with the given two-dimensional accuracy. More...

Functions for curve domain description.
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	IsStraight (bool ignoreParams=false) const override
	Define whether the curve is rectilinear..

bool	IsSmoothConnected (double angleEps) const override
	Define whether joints of contour/curve are smooth.

Functions for working in the domain of a curve.
Functions: PointOn, FirstDer, SecondDer, ThirdDer,... correct parameter when it is outside domain.
void	PointOn (double &, MbCartPoint &) const override
	Calculate a point on the curve. More...

void	FirstDer (double &, MbVector &) const override
	Calculate first derivative.

void	SecondDer (double &, MbVector &) const override
	Calculate second derivative.

void	ThirdDer (double &, MbVector &) const override
	Calculate third derivative.

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. If non-closed curve is outside of the domain in the general case it continues along a tangent, which it has at the respective end.
void	_PointOn (double, MbCartPoint &) const override
	Calculate point at curve and its extension. More...

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

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

void	_ThirdDer (double, MbVector &) const override
	Calculate third derivative 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, MbCartPoint &pnt, MbVector &fir, MbVector sec, MbVector 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...

Common functions of curve
bool	HasLength (double &) const override
	Calculate the metric length of a curve. More...

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

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

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

double	GetParamLength () const

double	CalculateParamLength ()

double	GetArea (double sag=Math::deviateSag) const
	Calculation of contour area if contour is closed.

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

MbContour *	NurbsContour () const override
	Approximate of a curve by the contour from NURBS curves.

void	SetClosed ()
	Set the closedness attribute of contour.

void	CheckClosed (double closedEps=Math::LengthEps)
	Set the closedness attribute of contour.

void	InitClosed (bool c)
	Set the closedness attribute of contour.

bool	IsClosedContinuousC0 (double eps=5.0 *PARAM_NEAR) const
	Check for closedness and continuity of contour points. More...

void	CloseByLineSeg (bool calcInternalData)
	Close the contour by segment.

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::LengthEps, VERSION version=Math::DefaultMathVersion()) const override
	Translate parameter along the curve. More...

void	Clear (bool calculateParamLength=true)
	Reset variables caching.

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

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

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

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

MbeItemLocation	PointRelative (const MbCartPoint &pnt, double eps=Math::LengthEps) const override
	Define the point position relative to the curve. More...

MbeLocation	PointLocation (const MbCartPoint &pnt, double eps=Math::LengthEps) const override
	The point position relative to the curve.

double	PointProjection (const MbCartPoint &) const override
	Calculate the point projection to the curve. More...

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

double	DistanceToBorder (const MbCartPoint &pnt, double eps=Math::paramRegion) const
	Parametric distance to the nearest boundary. More...

void	Trimm (double t1, double t2, bool saveParamLenAndLaw=false)
	Trim a part of the contour.

void	Trimm (double t1, double t2, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw)
	Trim a part of the contour with the given two-dimensional accuracy.

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

void	PerpendicularPoint (const MbCartPoint &, SArray< double > &tFind) const override
	Find perpendiculars to a curve. More...

void	TangentPoint (const MbCartPoint &, SArray< double > &tFind) const override
	Find tangents to a curve. More...

void	IntersectHorizontal (double y, SArray< double > &) const override
	Find intersections of a curve with horizontal line. More...

void	IntersectVertical (double x, SArray< double > &) const override
	Find intersections of a curve with vertical line. More...

void	SelfIntersect (SArray< MbCrossPoint > &, double metricEps=Math::LengthEps) const override
	Find self-intersections of curve. More...

bool	IsSelfIntersect (double metricEps, bool considerPartialCoincidence) const
	Is it a contour with self-intersections? More...

bool	FilletTwoSegments (ptrdiff_t &index, double rad, bool &del1, bool &del2)
	Fillet of two neighboring elements with information about removal.

bool	FilletTwoSegments (ptrdiff_t &index, double rad)
	Fillet of two neighboring elements.

bool	ChamferTwoSegments (ptrdiff_t &index, double len, double angle, bool type, bool firstSeg, bool &del1, bool &del2)
	Insertion of chamfer between two neighboring elements with information about removal.

bool	ChamferTwoSegments (ptrdiff_t &index, double len, double angle, bool type, bool firstSeg=true)
	Insertion of chamfer between two neighboring elements.

bool	Fillet (double rad)
	Fillet of contour.

bool	Chamfer (double len, double angle, bool type)
	Insertion of the chamfer.

MbeState	RemoveFilletOrChamfer (const MbCartPoint &pnt)
	Remove fillet or contour chamfer Split contour into non-overlapping segments.

bool	InsertCrossPoints ()

void	BreakSegment (ptrdiff_t &index, ptrdiff_t firtsIdx, SArray< MbCrossPoint > &cross, bool firstCurve=true)
	Splitting of contour segments at the points of intersection.

bool	CheckConnection (double eps=Math::LengthEps) const
	Check for contour continuity.

bool	CheckConnection (double xEps, double yEps) const
	Check for contour continuity.

DEPRECATE_DECLARE void	FilletTwoSegmentsZero (ptrdiff_t &index, int defaultSense, bool fullInsert)
	Rounding two neighboring elements by arc of zero radius. More...

void	FilletZero (int defaultSense, bool fullInsert=false)
	Rounding contour by arc of zero radius.

DEPRECATE_DECLARE void	ChamferTwoSegmentsZero (ptrdiff_t &index, double rad)
	Insertion of chamfer between two neighboring elements for construction of the offset. More...

void	ChamferZero (double rad)
	Insertion of chamfer for construction of the offset.

void	DeleteDegenerateSegments (double radius, MbCurve *curve, bool mode)
	Removal of degenerate contour segments.

void	Equid (double radLeft, double radRight, int side, bool mode, PArray< MbCurve > &equLeft, PArray< MbCurve > &equRight)
	Construction of offset to contour. More...

void	CreateNewContours (RPArray< MbCurve > &)
	Construction of new contours from equidistance.

double	CalculateArea (double sag=Math::deviateSag) const
	Calculation of contour area if contour is closed.

int	GetSense () const
	Determination of traverse direction if contour is closed.

void	SetSense (int sense)
	Set the traverse direction of the contour.

void	Inverse (MbRegTransform *=nullptr) override
	Set the opposite direction of curve.

bool	NormalizeReparametrization ()

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

bool	DistanceToPointIfLess (const MbCartPoint &toP, double &d) const override
	Calculate the distance to a point. More...

bool	GetSpecificPoint (const MbCartPoint &from, double &dmax, MbCartPoint &pnt) const override
	Return a specific point of a curve. More...

bool	GetSegmentMiddlePoint (const MbCartPoint &from, MbCartPoint &midPoint) const
	Get a mid-point of the contour segment.

bool	GetLinearSegment (const MbCartPoint &from, double maxDist, MbCartPoint &p1, MbCartPoint &p2, double &d) const
	Get the linear segment of contour.

MbArc *	GetArcSegment (const MbCartPoint &from, double maxDist, double &d) const
	Get the arc segment of contour.

bool	GetSegmentLength (const MbCartPoint &from, double &length) const
	Get the contour segment length.

bool	GetWeightCentre (MbCartPoint &) const override
	Calculate the center of gravity of a curve.

bool	GetCentre (MbCartPoint &) const override
	Calculate a center of curve.

ptrdiff_t	FindNearestNode (const MbCartPoint &to) const
	Find the nearest node of contour to point.

ptrdiff_t	FindNearestSegment (const MbCartPoint &to) const
	Find the nearest segment of contour to point.

void	OffsetCuspPoint (SArray< double > &tCusps, double dist) const override
	Find the special points of an offset curve. More...

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

bool	GetAxisPoint (MbCartPoint &) const override
	Calculate a point to construct an axis. More...

void	CombineNurbsSegments ()
	Unite NURBS curves into the contour.

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

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

void	GetBasisPoints (MbControlData &) const override
	Get control points of object.

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

Function for working with segments of contour
bool	Init (List< MbCurve > &)
	Initialization by list of curves.

void	Init (const MbContour &)
	Initialization by a contour.

template<class Curves >
bool	Init (Curves &curves, bool sameCurves)
	Initialization by array of curves. More...

template<class Points >
bool	InitByPoints (const Points &)
	Initialization by array of points (closed contour).

bool	InitAsRectangle (const MbCartPoint *)
	Initialization as rectangle (4 points are given).

bool	InitByRectangle (const MbRect &)
	Initialization by rectangle of bounding box.

bool	AddSegment (MbCurve *)
	Add a segment to the contour.

bool	AddSegmentOrDeleteCurve (MbCurve *)
	Add a curve as segment or remove its.

MbCurve *	AddSegment (const MbCurve *pBasis, double t1, double t2, int sense=1)
	Add a (truncated) segment copy to the end of the contour. More...

bool	AddAtSegment (MbCurve *newSegment, size_t index)
	Insert a segment before the contour segment with the index "index".

bool	AddAfterSegment (MbCurve *newSegment, size_t index)
	Insert a segment after the contour segment with the index "index".

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

void	DeleteSegments ()
	Remove all segments from contour.

void	DeleteSegment (size_t ind)
	Remove a segment from contour.

void	DetachSegments ()
	Detach all segments from the contour without removing.

MbCurve *	DetachSegment (size_t ind)
	Detach a segment from contour return it.

template<class CurvesVector >
void	DetachSegments (CurvesVector &segms)
	Detach all segments from the contour without removing.

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

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

void	SegmentsInsert (size_t ind, MbCurve &newSegment)
	Insert a segment into contour before an index without checking.

void	SegmentsRemove (size_t ind)
	Remove a segment without checking.

void	SegmentsDetach (size_t ind)
	Detach a segment without checking.

void	Calculate (bool calcArea=false)
	Calculate parameters: rect, paramLength, metricLength, closed.

void	SegmentsReserve (size_t additionalSpace)
	Reserve memory for this number of elements.

void	SegmentsAdjust ()
	Free the unnecessary memory.

template<class CurvesVector >
bool	GetSegments (CurvesVector &segms) const
	Get contour segments.

void	SetMetricLength (double len) const

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

void	ReplaceContoursAndPolylines ()
	Replace segments of contour and segments of polyline.

void	GetPolygon (double sag, SArray< MbCartPoint > &poly, double eps) const
	Get points of polygon.

bool	IsAnyCurvilinear () const
	Whether the contour has a curved segment.

bool	IsSameSegments (const MbContour &, double accuracy=PARAM_PRECISION) const
	Whether contours contains identical segments.

bool	GetBegSegmentPoint (size_t i, MbCartPoint &) const
	Get the start point of i-th segment.

bool	GetEndSegmentPoint (size_t i, MbCartPoint &) const
	Get the end point of i-th segment.

bool	CornerNormal (double t, MbVector &norm) const
	Normal by parameter with consideration of segments joints. More...

template<class Params >
void	GetCornerParams (Params &params) const
	Parameters of segments joints. More...

bool	GetTwoTangents (double t, MbVector &tan1, MbVector &tan2) const
	Calculation of two tangents (for parameters of joints). More...

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 MbCurve
virtual	~MbCurve ()
	Destructor.

MbePlaneType	Type () const override
	Get the group type of the object.

MbePlaneType	Family () const override
	Get family of object.

void	Refresh () override
	Set all temporary (mutable) data of object to undefined (initial) state.

size_t	size () const
	Number of objects if object is interpreted as vector of objects.

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

virtual void	AddYourGabaritMtr (MbRect &rect, const MbMatrix &matr) const
	Add a bounding box to rectangle. More...

bool	IsVisibleInRect (const MbRect &rect, bool exact=false) const override
	Determine visibility of an object in rectangle. More...

virtual bool	IsCompleteInRect (const MbRect &rect) const
	Determine whether an object is fully visible in rectangle. More...

double	DistanceToPoint (const MbCartPoint &toP) const override
	Calculate the distance to a point.

bool	DistanceToPointIfLess (const MbCartPoint &toP, double &d) const override
	Calculate the distance to a point. More...

virtual double	GetPeriod () const
	Return period. More...

virtual bool	IsPeriodic () const
	Define whether the curve is periodic. More...

bool	IsTouch (double eps=Math::LengthEps) const
	Determine whether a curve is closed regardless of the smoothness of the closure. More...

void	Tangent (double &t, MbVector &v) const
	Calculate tangent vector (normalized).

void	Tangent (double &t, MbDirection &d) const
	Calculate tangent vector (normalized).

void	Normal (double &t, MbVector &v) const
	Calculate main normal vector (normalized).

void	Normal (double &t, MbDirection &d) const
	Calculate main normal vector (normalized).

void	_Tangent (double t, MbVector &v) const
	Calculate tangent vector (normalized).

void	_Tangent (double t, MbDirection &d) const
	Calculate tangent vector (normalized).

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

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

virtual double	Curvature (double t) const
	Calculate curvature of curve.

double	CurvatureDerive (double t) const
	Calculate derivative of curvature by parameter.

double	CurvatureRadius (double t) const
	Calculate radius of curve with a sign.

virtual bool	IsBounded () const
	Define whether the curve is bounded.

virtual bool	IsDegenerate (double eps=Math::LengthEps) const
	Define whether the curve is degenerate..

double	GetParamLength () const
	Calculate the parametric length of a curve.

virtual void	ResetTCalc () const
	Reset the current value of parameter.

virtual bool	BeginApprox (double sag, double &tbeg, double &tend, MbCartPoint &pnt, bool &existNextPoint) const
	Start approximation for the drawing. More...

virtual bool	GetNextPoint (double sag, double tend, double &tcur, MbCartPoint &pnt) const
	Calculate the next point. More...

virtual void	CalculatePolygon (double sag, MbPolygon &poligon) const
	Calculate an array of points for drawing. More...

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

virtual MbCurve *	NurbsCurve (const MbNurbsParameters &tParameters) const
	Construct a NURBS copy of a curve. More...

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

MbeNewtonResult	PointProjectionNewton (const MbCartPoint &p, double xEpsilon, double yEpsilon, size_t iterLimit, double &t, bool ext) const
	Find the point projection to the curve. More...

void	PointProjection (const MbCartPoint &pnt, MbCartPoint &on) const
	Calculate the point projection to the curve. More...

void	BasePointProjection (const MbCartPoint &pnt, MbCartPoint &on) const
	Calculate the point projection to the curve. More...

void	PointProjectionAndAngle (MbCartPoint &on, double &angle) const
	Calculate the point projection to the curve. More...

bool	DirectPointProjection (const MbCartPoint &pnt, const MbDirection &dir, MbCartPoint &pp) const
	Calculate the point projection to the curve. More...

virtual bool	SmallestPerpendicular (const MbCartPoint &pnt, double &tProj) const
	Find the nearest perpendicular to the curve. More...

virtual void	Isoclinal (const MbVector &angle, SArray< double > &tFind) const
	Construct isoclines. More...

void	HorzIsoclinal (SArray< double > &tFind) const
	Construct horizontal isoclines. More...

void	VertIsoclinal (SArray< double > &tFind) const
	Construct vertical isoclines. More...

void	LowestPoint (MbCartPoint &lowestPoint, double &tLowest) const
	Find the lowest point of a curve and the corresponding parameter.

virtual bool	GoThroughPoint (MbCartPoint &pnt)
	Create a curve through a point. More...

virtual bool	GetMiddlePoint (MbCartPoint &) const
	Calculate a middle point of a curve.

virtual void	GetStartPoint (MbCartPoint &) const
	Calculate a start point of a curve.

virtual void	GetEndPoint (MbCartPoint &) const
	Calculate an end point of a curve.

virtual bool	IsSimilarToCurve (const MbCurve &curve, double precision=PARAM_PRECISION) const
	Define whether the curves are similar for the merge.

void	GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint > &pnts) const
	Get n points of a curve with equal intervals by parameter.

void	GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint > &pnts) const

virtual void	GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint > &pnts) const
	Get n points of a curve with equal intervals by arc length.

void	GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint > &pnts) const

virtual double	LengthBetween2Points (MbCartPoint &p1, MbCartPoint &p2, MbCartPoint *pc=nullptr) const
	Calculate minimal length of a curve between two points on it. More...

bool	IsPointOn (const MbCartPoint &, double eps=Math::LengthEps) const
	Check whether the point is on a curve with the tolerance eps.

bool	IsParamOn (double t, double eps=Math::paramEpsilon) const
	Check whether the parameter is inside a range with the tolerance eps.

void	CorrectCyclicParameter (double &t, double eps=Math::paramRegion) const
	Correct parameter for closed curves. More...

void	CorrectParameter (double &t) const
	Correct parameter. More...

MbCurve *	InverseDuplicate () const
	Create a copy with changed direction.

bool	IsInverseSame (const MbCurve &curve, double accuracy=LENGTH_EPSILON) const
	Define whether an inversed curve is the same.

virtual bool	IsReparamSame (const MbCurve &curve, double &factor) const
	Define whether a reparameterized curve is the same. More...

MbCartPoint	GetLimitPoint (ptrdiff_t number) const
	Calculate the boundary point. More...

void	GetLimitPoint (ptrdiff_t number, MbCartPoint &pnt) const
	Calculate the boundary point. More...

void	GetLimitTangent (ptrdiff_t number, MbVector &v) const
	Calculate a tangent vector to the boundary point. More...

void	GetLimitPointAndTangent (ptrdiff_t number, MbCartPoint &pnt, MbVector &v) const
	Calculate a tangent vector and point at the end of a curve. More...

bool	AreLimitPointsEqual () const
	Are boundary points equal? More...

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

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

virtual double	GetParamDelta () const
	Return an indent by parameter of a curve.

virtual const MbCurve &	GetSubstrate () const
	Get a substrate or itself.

virtual MbCurve &	SetSubstrate ()
	Get a substrate or itself.

virtual int	SubstrateCurveDirection () const
	Return direction of a substrate relative to a curve or vice versa.

virtual void	SubstrateToCurve (double &) const
	Transform a substrate parameter to the curve parameter.

virtual void	CurveToSubstrate (double &) const
	Transform a curve parameter to the substrate parameter.

virtual double	GetParamToUnit () const
	Return increment of parameter, corresponding to the unit length in space.

virtual double	GetParamToUnit (double t) const
	Return increment of parameter, corresponding to the unit length in space according to parameter.

virtual double	GetTEpsilon (double epsilon) const
	Return the minimal discernible value of parameter with the given tolerance.

virtual double	GetTEpsilon (double t, double epsilon) const
	Return the minimal discernible value of parameter with the given tolerance according to parameter.

virtual double	GetTRegion (double epsilon) const
	Return the minimal discernible value of parameter with the given tolerance.

virtual double	GetTRegion (double t, double epsilon) const
	Return the minimal discernible value of parameter with the given tolerance according to parameter.

virtual double	GetTRegion (double t, const MbDimAccuracy &xyEps) const
	Return the minimal discernible value of parameter with the given two-dimensinal accuracy according to parameter. The method takes into account the direction of the curve at a point.

double	GetTMid () const
	Return the middle of parametric range of a curve.

double	GetTRange () const
	Return the parametric length of a curve.

MbCartPoint	PointOn (double &t) const
	Calculate point on the curve.

MbVector	FirstDer (double &t) const
	Calculate first derivative.

MbDirection	Tangent (double &t) const
	Calculate tangent vector (normalized).

MbDirection	Normal (double &t) const
	Calculate the normal vector.

double	DerLength (double &t) const
	Calculate the length of derivative vector.

MbProperty &	CreateProperty (MbePrompt name) const override
	Create a custom property.

bool	IsSpaceNear (const MbCurve &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const
	Check whether the two curves are metrically close. More...

bool	IsSpaceNear (const MbCurve &curve, double xEps, double yEps, bool ext, double xNear, double yNear, double devSag=5.0 *Math::deviateSag) const
	Check whether the two curves are metrically close. More...

SimpleName	GetCurveName () const
	A curve name.

void	SetCurveName (SimpleName newName)
	Set a curve name.

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

void	PrepareWrite () const
	Object registration. More...

MbeRefType	RefType () const override
	Get the registration type (for copying, duplication).

virtual void	Rotate (const MbCartPoint &pnt, double angle, MbRegTransform iReg=nullptr, const MbSurface newSurface=nullptr)
	Rotate about a point. More...

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.

virtual bool	IsFamilyRegistrable () const
	Whether the object belongs to a registrable family.

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
	MbContour (const MbContour , MbRegDuplicate )
	Copy constructor.

Protected Member Functions inherited from MbCurve
	MbCurve ()
	Default constructor.

	MbCurve (const MbCurve &other)
	Copy-constructor.

Protected Member Functions inherited from MbPlaneItem
	MbPlaneItem ()
	Constructor.

Protected Member Functions inherited from MbRefItem
	MbRefItem ()
	Constructor without parameters.

Protected Attributes
RPArray< MbCurve >	segments
	An array of contour segments.

bool	closed
	An Attribute of curve closedness.

double	paramLength
	Parametric length of a contour.

atomic_double	metricLength
	Metric length of a contour.

MbRect	rect
	Bounding box.

c3d::AtomicDoublePair	areaSign
	Contour area with a sign.

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

Detailed Description

Contour in two-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 two-dimensional contour is used for planar modeling and also for describing of two-dimensional areas, for example for determining of the domain of surface.

Constructor & Destructor Documentation

◆ MbContour()

template<class Curves >

MbContour::MbContour	(	const Curves &	initCurves,
		bool	sameCurves
	)

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. The condition must be guaranteed by the calling code.

Parameters

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

Member Function Documentation

◆ Duplicate()

MbPlaneItem& MbContour::Duplicate ( MbRegDuplicate * iReg = nullptr ) const

overridevirtual

Create a copy.

Create a copy of the object using the registrator. The registrator is used for preventing multiple copying of an object. If the object contains references to other objects, then the included objects are copied too. It is allowed not to pass the registrator to a function. Then the new copy of the object will be created. It is allowed not to use the registrator while copying a single object or a set of disconnected objects. The registrator must be used to copy several correlated objects successively. It is possible that the objects' connection means that the objects contain references to the common objects. Then, while copying without using the registrator, one can get a set of copies which contain references to the different copies of a single included object, what leads to loss of connection between the copies.

Parameters

[in] iReg - Registrator.

Returns: Copy of the object.

Implements MbPlaneItem.

Reimplemented in MbContourWithBreaks.

◆ IsSimilar()

bool MbContour::IsSimilar ( const MbPlaneItem & item ) const

overridevirtual

Determine whether the objects are similar.

Objects of the same type are considered to be similar if data of the objects can be equated or the data are also similar (pointers). Similar object can be initialized by data of object similar to it (equate one to another without changing of addresses).

Parameters

[in] item - Object for comparison.

Returns: Whether the objects are similar.

Reimplemented from MbPlaneItem.

◆ SetEqual()

bool MbContour::SetEqual ( const MbPlaneItem & item )

overridevirtual

Make the objects equal.

It is possible to make equal only similar objects. Similar object is equated to a given one by changing of numerical data.

Parameters

[in] item - Object for initialization.

Returns: Whether the object is made equal to the given one.

Implements MbPlaneItem.

◆ IsSame()

bool MbContour::IsSame	(	const MbPlaneItem &	item,
		double	accuracy = `LENGTH_EPSILON`
	)		const

overridevirtual

Determine whether objects are equal.

Objects of the same types with similar (equal) data are considered to be equal.

Parameters

[in]	item	- Object for comparison.
[in]	accuracy	- The accuracy.

Returns: Whether the objects are equal.

Implements MbPlaneItem.

◆ Transform()

void MbContour::Transform	(	const MbMatrix &	matr,
		MbRegTransform *	iReg = `nullptr`,
		const MbSurface *	newSurface = `nullptr`
	)

overridevirtual

Transform according to the matrix.

Transform the initial object according to the matrix using the registrator. If the object contains references to the other geometric objects, then the nested objects are transformed according to the matrix. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to transformation.

Parameters

[in]	matr	- A transformation matrix.
[in]	iReg	- Registrator.
[in]	surface	- New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar.

Implements MbPlaneItem.

Reimplemented in MbContourWithBreaks.

◆ Move()

void MbContour::Move	(	const MbVector &	to,
		MbRegTransform *	iReg = `nullptr`,
		const MbSurface *	newSurface = `nullptr`
	)

overridevirtual

Translate along a vector.

Translate a geometric object along the vector using the registrator. If the object contains references to the other objects, then the translation operation is applied to the nested objects. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to translation.

Parameters

[in]	to	- Translation vector.
[in]	iReg	- Registrator.
[in]	surface	- New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar.

Implements MbPlaneItem.

Reimplemented in MbContourWithBreaks.

◆ Rotate()

void MbContour::Rotate	(	const MbCartPoint &	pnt,
		const MbDirection &	angle,
		MbRegTransform *	iReg = `nullptr`,
		const MbSurface *	newSurface = `nullptr`
	)

overridevirtual

Rotate about a point.

Rotate an object about a point by the given angle using the registrator. If the object contains references to the other geometric objects, then the rotation operation is applied to the nested objects too. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to rotation.

Parameters

[in]	pnt	- Fixed point.
[in]	angle	- The rotation angle.
[in]	iReg	- Registrator.
[in]	surface	- New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar.

Implements MbPlaneItem.

Reimplemented in MbContourWithBreaks.

◆ Offset()

MbCurve* MbContour::Offset ( double rad ) const

overridevirtual

Construct the equidistant curve which is shifted by the given value.

Construct the equidistant curve which is shifted by the given value. The function inserts (in a contour's copy) the arcs of zero radius between neighbor segments. This is necessary to provide continuity of the contour for both directions of displacement. But it can lead to the appearance of self-intersections of an contour. Then the function performs an equidistant offset of all segments. This function has a limited scope of using. You can use the OffsetContour function instead this function.

Parameters

[in] rad - Equidistant offset.

Returns: Returns the equidistant curve if it's possible to build it, otherwise - nullptr.

Reimplemented from MbCurve.

◆ CalculateGabarit()

void MbContour::CalculateGabarit ( MbRect & ) const

overridevirtual

Detect the bounding box of a curve.

The sent rectangle becomes empty for getting a bounding box. Then bounding boxes of an object are calculated and saved into a rectangle 'rect'.

Reimplemented from MbCurve.

◆ CalculateLocalGabarit()

void MbContour::CalculateLocalGabarit	(	const MbMatrix &	into,
		MbRect &	local
	)		const

overridevirtual

Calculate bounding box in the local coordinate system.

For getting a bounding box of an object relatively to the local coordinate system, a sent rectangle becomes empty. After that bounding boxes of an object in the local coordinate system are calculated and saved in a rectangle 'rect'.

Parameters

[in]	matr	- A transition matrix from the current coordinate system of the object to the local coordinate system.
[out]	rect	- A rectangle with information about bounds.

Reimplemented from MbCurve.

◆ Deformation()

MbeState MbContour::Deformation	(	const MbRect &	rect,
		const MbMatrix &	matr
	)

overridevirtual

Deform the curve.

If the bounding rectangle of a curve intersects the given one, then the curve is transformed according to the matrix with a help of 'Transform' function.

Parameters

[in]	rect	- A rectangle, in which the visibility of a curve is checked.
[in]	matr	- A deformation matrix.

Returns: A state of a curve after deformation.

Reimplemented from MbCurve.

◆ PrepareIntegralData()

void MbContour::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 MbCurve.

◆ DeletePart()

MbeState MbContour::DeletePart	(	double	t1,
		double	t2,
		MbCurve *&	part2
	)

overridevirtual

Delete the piece of a curve.

Delete a part of a curve between parameters t1 and t2. If the curve is split into two parts after deletion, then the initial object corresponds to the start part of a curve, and parameter 'part2' contains the end part of a curve. If the curve remained simply connected, then only the initial object changes.

Parameters

[in]	t1	- Start parameter of trimming.
[in]	t2	- End parameter of trimming.
[in,out]	part2	- The end part of a curve after deletion, if an initial curve is split into parts. It may be the only part after deletions, \ if the curve did not change (e. g. for a curve of MbLine type), in this case the returned value is dp_Degenerated.

Returns: A state of a curve after modification.

Implements MbCurve.

◆ TrimmPart()

MbeState MbContour::TrimmPart	(	double	t1,
		double	t2,
		MbCurve *&	part2
	)

overridevirtual

Keep the piece of a curve.

Leave a part of a curve between parameters t1 and t2.
In a case of success the returned value equals dp_Changed and a curve satisfies to the next conditions:

if an initial curve is closed then the start point of a trimmed curve should correspond to the parameter t1, the end point - to the parameter t2,

if an initial curve is not closed then the start point of a trimmed curve should correspond to the minimum parameter from t1 and t2, the end point - to the maximum one.

Parameters

[in]	t1	- Start parameter of trimming.
[in]	t2	- End parameter of trimming.
[in,out]	part2	- This may be filled by a result of trimming if the curve was not changed. In this case the returned value is dp_Degenerated. Otherwise nullptr is returned.

Returns: A state of a curve after modification:
dp_Degenerated - the curve is degenerated and there are possible three cases: the curve was not changed, because it would degenerate in a result of transformation, or it it was not changed and the result of trimming is 'part2',
dp_NoChanged - the curve was not changes,
dp_Changed - the curve is changed.

Warning: The function is designed for internal use only.

Implements MbCurve.

◆ Trimmed() [1/3]

MbCurve* MbContour::Trimmed	(	double	t1,
		double	t2,
		int	sense,
		const MbDimAccuracy &	xyEps,
		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 curve (or for an arc - exception) 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]	xyEps	- Two-dimensional accuracy. It is used for estimations near the points corresponding to the parameters t1 and t2.
[in]	saveParLenAndLaw	- Save parametric length and law.

Returns: A constructed trimmed curve.

Warning: Under development.

Implements MbCurve.

◆ IsClosed()

bool MbContour::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:
MbLine,
MbLineSegment,
MbCosinusoid,
MbContour (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 MbCurve.

◆ PointOn()

void MbContour::PointOn	(	double &	t,
		MbCartPoint &	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 MbCurve.

◆ _PointOn()

void MbContour::_PointOn	(	double	t,
		MbCartPoint &	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 MbCurve.

◆ Explore()

void MbContour::Explore	(	double &	t,
		bool	ext,
		MbCartPoint &	pnt,
		MbVector &	fir,
		MbVector *	sec,
		MbVector *	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 MbCurve.

◆ Step()

double MbContour::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 of a curve from its polygon does not exceed the given sag value.

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 MbCurve.

◆ DeviationStep()

double MbContour::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 MbCurve.

◆ HasLength()

bool MbContour::HasLength ( double & length ) const

overridevirtual

Calculate the metric length of a curve.

Calculate the metric length of a curve and save the result in the variable 'length'.

Parameters

[in,out] length - Calculated length of a curve.

Returns: True - if the length of a curve differs from null. Otherwise returns false.

Implements MbCurve.

◆ GetMetricLength()

double MbContour::GetMetricLength ( ) const

overridevirtual

Calculate the metric length of a curve.

If a length of a curve is already calculated and saved in the object then this function returns the existing result, without repeating of calculations. Otherwise the length is calculated by the function CalculateMetricLength().

Returns: Length of a curve.

Implements MbCurve.

◆ GetLengthEvaluation()

double MbContour::GetLengthEvaluation ( ) const

overridevirtual

Calculate the metric length of a curve.

The length of a curve is inaccurately calculated, by approximation of polyline. If the more accurate curve's length is required, then use the function CalculateMetricLength().

Reimplemented from MbCurve.

◆ NurbsCurve()

MbNurbs* MbContour::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,out]	nurbs	- A constructed NURBS-curve.
[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.

Implements MbCurve.

◆ IsClosedContinuousC0()

bool MbContour::IsClosedContinuousC0 ( double eps = 5.0 *PARAM_NEAR ) const

Check for closedness and continuity of contour points.

Check for closedness and continuity of contour points. Checking for coincidence of first and last points of the contour, coincidence of the last point of each segment with the first point of the next segment. Equality of points is checked roughly by default - with tolerance is equal to 5* PARAM_NEAR.

Returns: true, if contour is closed and continuous.

◆ CalculateLength()

double MbContour::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 MbCurve.

◆ DistanceAlong()

bool MbContour::DistanceAlong	(	double &	t,
		double	len,
		int	curveDir,
		double	eps = `Math::LengthEps`,
		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.
[in]	version	- Version.

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

Reimplemented from MbCurve.

◆ FindSegment()

ptrdiff_t MbContour::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.

◆ PointRelative()

MbeItemLocation MbContour::PointRelative	(	const MbCartPoint &	pnt,
		double	eps = `Math::LengthEps`
	)		const

overridevirtual

Define the point position relative to the curve.

There is defined on which side from a curve the point is located, by the positive direction of a curve.

Parameters

[in]	pnt	- A given point.
[in]	eps	- A tolerance of detection.

Returns: Iloc_InItem = 1 - if the point is on the left from a curve,
iloc_OnItem = 0 - if the point is on a curve,
iloc_OutOfItem = 1 - if the point is on the right from a curve.

Reimplemented from MbCurve.

◆ PointProjection()

double MbContour::PointProjection ( const MbCartPoint & pnt ) const

overridevirtual

Calculate the point projection to the curve.

Calculate the parameter of the curve corresponding to the projection of the given point on this curve.
This function does not allow the parameter to go beyond the parametric domain of the definition of an unclosed curve, unlike the NearPointProjection function.

Parameters

[in] pnt - A given point.

Returns: The found parameter for the projection of a point onto the curve.

Reimplemented from MbCurve.

◆ NearPointProjection()

bool MbContour::NearPointProjection	(	const MbCartPoint &	,
		double	xEpsilon,
		double	yEpsilon,
		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 MbCurve.

◆ DistanceToBorder()

double MbContour::DistanceToBorder	(	const MbCartPoint &	pnt,
		double	eps = `Math::paramRegion`
	)		const

Parametric distance to the nearest boundary.

Parameters

[in]	pnt	- A testing point.
[in]	eps	- Accuracy.

Returns: Distance to the nearest boundary.

◆ Extend()

MbResultType MbContour::Extend	(	const MbCurveExtensionParameters &	parameters,
		c3d::PlaneCurveSPtr &	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 MbCurve.

◆ PerpendicularPoint()

void MbContour::PerpendicularPoint	(	const MbCartPoint &	pnt,
		SArray< double > &	tFind
	)		const

overridevirtual

Find perpendiculars to a curve.

Find all perpendiculars to a curve from the given point. In this function a curve without extensions is considered.

Parameters

[in]	pnt	- A given point.
[in,out]	tFind	- An array of parameter on a curve, corresponding to the points on a curve, which the perpendiculars are passed through.

Reimplemented from MbCurve.

◆ TangentPoint()

void MbContour::TangentPoint	(	const MbCartPoint &	pnt,
		SArray< double > &	tFind
	)		const

overridevirtual

Find tangents to a curve.

Find all tangents to a curve from the given point. A point may belong to a curve. In this function a curve without extensions is considered.

Parameters

[in]	pnt	- A given point.
[in,out]	tFind	- An array of parameters of a curve, corresponding to the tangent points.

Reimplemented from MbCurve.

◆ IntersectHorizontal()

void MbContour::IntersectHorizontal	(	double	y,
		SArray< double > &	cross
	)		const

overridevirtual

Find intersections of a curve with horizontal line.

Parameters

[in]	y	- An ordinate of points of a horizontal line.
[in,out]	cross	- An array of parameters of a curve corresponding to the intersection points.

Reimplemented from MbCurve.

◆ IntersectVertical()

void MbContour::IntersectVertical	(	double	x,
		SArray< double > &	cross
	)		const

overridevirtual

Find intersections of a curve with vertical line.

Parameters

[in]	x	- An abscissa of points of a vertical line.
[in,out]	cross	- An array of parameters of a curve corresponding to the intersection points.

Reimplemented from MbCurve.

◆ SelfIntersect()

void MbContour::SelfIntersect	(	SArray< MbCrossPoint > &	,
		double	metricEps = `Math::LengthEps`
	)		const

overridevirtual

Find self-intersections of curve.

Find the points of self-intersection of a curve and the corresponding parameters.

Parameters

[in,out] crossPnt - An array of points of self-intersection.

Reimplemented from MbCurve.

◆ IsSelfIntersect()

bool MbContour::IsSelfIntersect	(	double	metricEps,
		bool	considerPartialCoincidence
	)		const

Is it a contour with self-intersections?

Parameters

[in]	metricEps	- Accuracy (it's recommended to use Math::LengthEps).
[in]	considerPartialCoincidence	- Consider partial coincidence of neighboring segments as self-intersection (true - by default).

◆ FilletTwoSegmentsZero()

DEPRECATE_DECLARE void MbContour::FilletTwoSegmentsZero	(	ptrdiff_t &	index,
		int	defaultSense,
		bool	fullInsert
	)

Rounding two neighboring elements by arc of zero radius.

Deprecated:: The method is deprecated.

◆ ChamferTwoSegmentsZero()

DEPRECATE_DECLARE void MbContour::ChamferTwoSegmentsZero	(	ptrdiff_t &	index,
		double	rad
	)

Insertion of chamfer between two neighboring elements for construction of the offset.

Deprecated:: The method is deprecated.

◆ Equid()

void MbContour::Equid	(	double	radLeft,
		double	radRight,
		int	side,
		bool	mode,
		PArray< MbCurve > &	equLeft,
		PArray< MbCurve > &	equRight
	)

Construction of offset to contour.

Construction of offset to contour of the left and right. A name of every offset contour matches with the name of the initial one.

Parameters

[in]	radLeft	- The equidistance radius on the left by direction.
[in]	radRight	- The equidistance radius on the right by direction.
[in]	side	- Attribute defining the side to construct: 0 - on the left by direction, 1 - on the right by direction, 2 - on the both sides.
[in]	mode	- The way of traverse of angles: true - by arc, false - by section.
[out]	equLeft	- The array of contours on the left side.
[out]	equRight	- The array of contours on the right side.

◆ DistanceToPointIfLess()

bool MbContour::DistanceToPointIfLess	(	const MbCartPoint &	to,
		double &	d
	)		const

overridevirtual

Calculate the distance to a point.

Calculate distance to object from a given point near the object. Distance is calculated and stored to 'd' variable if it is less then initial value of 'd'. There can be performance benefit in comparison with DistanceToPoint function due to primarily checking the distance from point to bounding box and performing the further calculations only if this distance is not greater than the given one.

Parameters

[in]	to	- Point.
[in,out]	d	- Specified distance from object on input. Distance from point to object on output if operation succeeded.

Returns: True if distance from point to the object is less than the given one, otherwise false. Calculate the distance from a point and change the given value of distance if the distance is less than the given one.

Implements MbPlaneItem.

◆ GetSpecificPoint()

bool MbContour::GetSpecificPoint	(	const MbCartPoint &	from,
		double &	dmax,
		MbCartPoint &	pnt
	)		const

overridevirtual

Return a specific point of a curve.

Return a specific point of a curve if the distance from it to the given point is less than dmax. Specific points of a bounded curve are its start and end points.

Parameters

[in]	from	- A control point
[in,out]	dmax	- Input - maximum distance for search of specific point. Output - a distance from the point 'from' to the found specific point.
[in,out]	pnt	- Tangent vector.

Returns: True - if the specific point is found.

Reimplemented from MbCurve.

◆ OffsetCuspPoint()

void MbContour::OffsetCuspPoint	(	SArray< double > &	tCusps,
		double	dist
	)		const

overridevirtual

Find the special points of an offset curve.

Special points of an offset curve are the points where the curvature radius of the initial curve equals to the value of shift of an offset curve.

Parameters

[in,out]	tCusps	- An array of parameters of special points.
[in]	dist	- Shift of the offset curve.

Reimplemented from MbCurve.

◆ GetRadius()

double MbContour::GetRadius ( double accuracy = PARAM_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 (PARAM_REGION by default). \params[in] accuracy - The maximum curve deviation from an arc (PARAM_REGION by default).

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

Reimplemented from MbCurve.

◆ GetAxisPoint()

bool MbContour::GetAxisPoint ( MbCartPoint & p ) const

overridevirtual

Calculate a point to construct an axis.

Calculates a point to construct an axis, if a curve may be constructed by rotation of a point around an axis.

Returns: true, if such axis exists.

Reimplemented from MbCurve.

◆ GetProperties()

void MbContour::GetProperties ( MbProperties & properties )

overridevirtual

Get properties of the object.

Get internal data (properties) of an object for viewing and modification.

Parameters

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

Implements MbPlaneItem.

◆ SetProperties()

void MbContour::SetProperties ( const MbProperties & properties )

overridevirtual

Change properties of the object.

Change internal data (properties) of object is performed by copying of corresponding values from the given object.

Parameters

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

Implements MbPlaneItem.

◆ IsContinuousDerivative()

bool MbContour::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).
[in]	epsilon	- The accuracy of the calculation.

Reimplemented from MbCurve.

◆ SetContinuousDerivativeLength()

bool MbContour::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 MbCurve.

◆ Init()

template<class Curves >

bool MbContour::Init	(	Curves &	curves,
		bool	sameCurves
	)

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

Returns: Returns true if curves were added.

◆ AddSegment()

MbCurve* MbContour::AddSegment	(	const MbCurve *	pBasis,
		double	t1,
		double	t2,
		int	sense = `1`
	)

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 MbContour::AddCurveWithRuledCheck	(	MbCurve &	newCur,
		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]	version	- Version.

Returns: Returns true if the curve was added.

◆ CornerNormal()

bool MbContour::CornerNormal	(	double	t,
		MbVector &	norm
	)		const

Normal by parameter with consideration of segments joints.

Normal by parameter with consideration of segments joints

Parameters

[in]	t	- Parameter on the contour
[out]	norm	- Unit vector of normal if not hit on the joint of segments if we got on the joint of segments then the vector is directed, as the sum of two normals on segments in joint, with length which is equal to 1 divided by the sine of half angle between the segments

Returns: true, if got on the joint of segments

◆ GetCornerParams()

template<class Params >

void MbContour::GetCornerParams ( Params & params ) const

Parameters of segments joints.

Parameters of segments joints without minimal and maximal contour parameter.

Parameters

[out] params - Set of parameters.

◆ GetTwoTangents()

bool MbContour::GetTwoTangents	(	double	t,
		MbVector &	tan1,
		MbVector &	tan2
	)		const

Calculation of two tangents (for parameters of joints).

Calculation of two tangents for parameter of segments joint corresponding to the segments. If parameter is not one of parameters of segments joints tangents are equal. and maximal contour parameter.

Parameters

[in]	t	- A parameter.
[out]	tan1	- First tangent.
[out]	tan2	- Second tangent.

◆ GetSegmentsNames()

void MbContour::GetSegmentsNames ( SimpleNameArray & names ) const

Get names of segments.

Get names of contour segments.

Parameters

[out] names - Names of segments

◆ SetSegmentsNames()

void MbContour::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 MbCurve* MbCurve::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 curve (or for an arc - exception) 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 MbCurve* MbCurve::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 curve (or for an arc - exception) 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]	xyEps	- Two-dimensional accuracy. It is used for estimations near the points corresponding to the parameters t1 and t2.
[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_contour.h

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ MbContour()

Member Function Documentation

◆ Duplicate()

◆ IsSimilar()

◆ SetEqual()

◆ IsSame()

◆ Transform()

◆ Move()

◆ Rotate()

◆ Offset()

◆ CalculateGabarit()

◆ CalculateLocalGabarit()

◆ Deformation()

◆ PrepareIntegralData()

◆ DeletePart()

◆ TrimmPart()

◆ Trimmed() [1/3]

◆ IsClosed()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ Step()

◆ DeviationStep()

◆ HasLength()

◆ GetMetricLength()

◆ GetLengthEvaluation()

◆ NurbsCurve()

◆ IsClosedContinuousC0()

◆ CalculateLength()

◆ DistanceAlong()

◆ FindSegment()

◆ PointRelative()

◆ PointProjection()

◆ NearPointProjection()

◆ DistanceToBorder()

◆ Extend()

◆ PerpendicularPoint()

◆ TangentPoint()

◆ IntersectHorizontal()

◆ IntersectVertical()

◆ SelfIntersect()

◆ IsSelfIntersect()

◆ FilletTwoSegmentsZero()

◆ ChamferTwoSegmentsZero()

◆ Equid()

◆ DistanceToPointIfLess()

◆ GetSpecificPoint()

◆ OffsetCuspPoint()

◆ GetRadius()

◆ GetAxisPoint()

◆ GetProperties()

◆ SetProperties()

◆ IsContinuousDerivative()

◆ SetContinuousDerivativeLength()

◆ Init()

◆ AddSegment()

◆ AddCurveWithRuledCheck()

◆ CornerNormal()

◆ GetCornerParams()

◆ GetTwoTangents()

◆ GetSegmentsNames()

◆ SetSegmentsNames()

◆ Trimmed() [2/3]

◆ Trimmed() [3/3]