C3D Toolkit  Kernel - 117978, Vision - 2.9.1.5

Polyline in two-dimensional space. More...

#include <cur_polyline.h>

+ Inheritance diagram for MbPolyline:
+ Collaboration diagram for MbPolyline:

Public Member Functions

 MbPolyline (MbRect &)
 Constructor by a rectangle.
 
 MbPolyline (const MbCartPoint &p1, double height, double weight, const MbDirection &angle)
 Constructor of inclined rectangle.
 
Common functions of a geometric object.
MbePlaneType IsA () const override
 Get the object type.
 
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 *=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...
 
MbPlaneItemDuplicate (MbRegDuplicate *=nullptr) const override
 Create a copy. More...
 
void Refresh () override
 Set all temporary (mutable) data of object to undefined (initial) state.
 
Functions for description of a curve domain.
double GetTMin () const override
 Get the minimum value of parameter.
 
double GetTMax () const override
 Get the maximum value of parameter.
 
Functions for working in the curve's domain.

Functions PointOn, FirstDer, SecondDer, ThirdDer,... correct parameter if it is out of domain bounds. Except MbLine (line).

void PointOn (double &t, MbCartPoint &p) const override
 Calculate a point on the curve. More...
 
void FirstDer (double &t, MbVector &fd) const override
 Calculate first derivative.
 
void SecondDer (double &t, MbVector &sd) const override
 Calculate second derivative.
 
void ThirdDer (double &t, MbVector &td) const override
 Calculate third derivative.
 
Functions for working inside and outside the curve's domain.

Functions _PointOn, _FirstDer, _SecondDer, _ThirdDer,... don't correct parameter if it is out of domain bounds. If the parameter is out of domain bounds, an unclosed curve is extended by tangent vector at corresponding end point in general case. Except arcs of an ellipse or a circle - they are extended according to their equations.

void _SecondDer (double t, MbVector &v) const override
 Calculate second derivative at curve and its extension.
 
void _ThirdDer (double t, MbVector &v) 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...
 
Initialization functions of a curve.
void Init (const MbPolyline &)
 Initialization by another polyline.
 
template<class PointsVector >
bool Init (const PointsVector &initList, bool cls)
 Initialization by points and an attribute of closedness.
 
void Init (const MbCartPoint &p1, const MbCartPoint &p2)
 Construction of a rectangle.
 
void Init (ptrdiff_t nVertex, const MbCartPoint &pc, double rad, const MbCartPoint &on, bool describe)
 Construction of a regular polygon.
 
void Init (const MbCartPoint &p1, double height, double weight, const MbDirection &angle)
 Constructor of an inclined rectangle.
 
Common functions of curve
MbCurveOffset (double rad) const override
 Construct the equidistant curve which is shifted by the given value.
 
MbNurbsNurbsCurve (const MbCurveIntoNurbsInfo &) const override
 Construct a NURBS copy of a curve. More...
 
MbCurveNurbsCurve (const MbNurbsParameters &) const override
 Construct a NURBS copy of a curve. More...
 
MbContourNurbsContour () const override
 Approximate of a curve by the contour from NURBS curves.
 
MbCurveTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw) const override
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
double Step (double t, double sag) const override
 Calculate parameter step. More...
 
double DeviationStep (double t, double angle) const override
 Calculate parameter step. More...
 
bool IsStraight (bool ignoreParams=false) const override
 Define whether the curve is rectilinear..
 
void Inverse (MbRegTransform *iReg=nullptr) override
 Set the opposite direction of curve.
 
double CalculateMetricLength () const override
 Calculate the metric length of a curve.
 
double GetLengthEvaluation () const override
 Calculate the metric length of a curve. More...
 
double CalculateLength (double t1, double t2) const override
 Calculate the metric length of a curve. More...
 
MbeItemLocation PointRelative (const MbCartPoint &pnt, double eps=Math::LengthEps) const override
 Define the point position relative to the curve. More...
 
double PointProjection (const MbCartPoint &) const override
 Calculate the point projection to the curve. More...
 
void CalculateLocalGabarit (const MbMatrix &into, MbRect &local) const override
 Calculate bounding box in the local coordinate system. More...
 
void CalculateGabarit (MbRect &) const override
 Detect the bounding box 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...
 
double DistanceToPoint (const MbCartPoint &to) const override
 Calculate the distance to a point.
 
bool DistanceToPointIfLess (const MbCartPoint &toP, double &d) const override
 Calculate the distance to a point. More...
 
bool GetMiddlePoint (MbCartPoint &midPoint) const override
 Calculate a middle point of a curve.
 
bool GoThroughPoint (MbCartPoint &) override
 Create a curve through a point. More...
 
ptrdiff_t GoThroughPoint (double t, MbCartPoint &p, double eps)
 
virtual MbCurveTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
virtual MbCurveTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw) const=0
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
Common functions of polygonal curve
void GetRuleInterval (ptrdiff_t index, double &t1, double &t2) const override
 Get the range of influence of point of the curve. More...
 
void Rebuild () override
 Rebuild curve.
 
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...
 
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...
 
void Isoclinal (const MbVector &angle, SArray< double > &tFind) const override
 Construct isoclines. More...
 
bool GetCentre (MbCartPoint &) const override
 Calculate a center of curve.
 
bool GetWeightCentre (MbCartPoint &) const override
 Calculate the center of gravity of a curve.
 
size_t GetCount () const override
 Define the number of splittings for one passage in operations.
 
void CheckParameter (double &) const
 Check parameter.
 
ptrdiff_t ChangeThroughPoint (const MbCartPoint &)
 
void InsertPoint (ptrdiff_t index, const MbCartPoint &pnt) override
 Insert a point to the array of control points. More...
 
void InsertPoint (double t, const MbCartPoint &pnt, double, double) override
 Insert a point to the array of control points. More...
 
bool CheckParam (double &t, ptrdiff_t &i0, ptrdiff_t &i1, double &t0, double &t1) const override
 Drive a parameter into the curve domain. More...
 
double GetParam (ptrdiff_t i) const override
 Get parameter corresponding to the point with specified index.
 
size_t GetParamsCount () const override
 Get count of parameters.
 
double Area () const
 
int Orientation () const
 
bool IsDegenerate (double eps=Math::LengthEps) const override
 Define whether the curve is degenerate..
 
bool IsSmoothConnected (double angleEps) const override
 Define whether joints of contour/curve are smooth.
 
bool IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const override
 Get properties of the object. More...
 
bool SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) override
 Eliminate the discontinuities of the first derivative at length. More...
 
void GetProperties (MbProperties &) override
 Get properties of the object. More...
 
void SetProperties (const MbProperties &) override
 Change properties of the object. More...
 
Functions of polyline
void Trimm (SArray< MbCartPoint > &point, double t1, double t2, double eps=Math::LengthEps) const
 
bool GetSegmentMiddlePoint (const MbCartPoint &from, MbCartPoint &midPoint) const
 
bool GetLinearSegment (const MbCartPoint &from, MbCartPoint &p1, MbCartPoint &p2) const
 
bool GetSegmentLength (const MbCartPoint &from, double &length) const
 
ptrdiff_t FindNearestSegment (const MbCartPoint &from) const
 
MbContourCreateContour () const
 
bool ChamferTwoSegments (ptrdiff_t &index, double len, double angle, bool type, bool firstSeg=true)
 
bool Chamfer (double len, double angle, bool type)
 
MbeState RemoveChamfer (const MbCartPoint &pnt)
 
bool GetSplinePoints (SArray< MbCartPoint > &points, SArray< double > &arParams) const
 
MbCubicSplineCubicSpline () const
 
ptrdiff_t GetSegmentsCount () const
 
double Step (double t, double sag, ThreeStates dir) const
 Step of parameter with consideration of curvature.
 
double DeviationStep (double t, double angle, ThreeStates dir) const
 Step of parameter by a given angle of deviation of tangent.
 
template<class ParamsVector >
size_t SegmentIntersection (const MbLineSegment &lineSegment, double xEps, double yEps, ParamsVector &ttPolyline, ParamsVector &ttSegment) const
 Determine points of intersection with a line segment. More...
 
bool PointRelative (const MbCartPoint &pnt, ptrdiff_t nearestSegmentIndex, double eps, MbeItemLocation &iLoc) const
 Define the point position relative to the curve when the nearest segment index is known.
 
bool FindSegmentPair (double t, c3d::IndicesPair &) const
 Define segment index (or pair of segment indices) by parameter on polyline.
 
double DistanceToPolylineSegment (size_t, const MbCartPoint &) const
 Calculate distance from a point to segment of polyline.
 
bool IsSelfIntersecting (double metricEps=Math::LengthEps) const
 Self-intersection of a polyline.
 
- Public Member Functions inherited from MbPolyCurve
virtual ~MbPolyCurve ()
 Destructor.
 
MbePlaneType Type () const override
 Get the group type of the object.
 
void AddYourGabaritTo (MbRect &r) const override
 Extend the given bounding rectangle so that it encloses this object.
 
void PrepareIntegralData (const bool forced) const override
 Calculate temporary (mutable) data of an object. More...
 
bool IsClosed () const override
 Define whether the curve is periodic. More...
 
bool HasLength (double &length) const override
 Calculate the metric length of a curve. More...
 
MbeState Deformation (const MbRect &, const MbMatrix &) override
 Deform the curve. More...
 
bool IsInRectForDeform (const MbRect &r) const override
 Determine visibility of a curve in rectangle.
 
double GetMetricLength () const override
 Calculate the metric length of a curve. More...
 
bool GetSpecificPoint (const MbCartPoint &from, double &dmax, MbCartPoint &pnt) const override
 Return a specific point of a curve. More...
 
void GetBasisPoints (MbControlData &) const override
 Get control points of object.
 
void SetBasisPoints (const MbControlData &) override
 Change the object by control points.
 
virtual size_t GetPointsCount () const
 Get count of control points.
 
virtual void GetPoint (ptrdiff_t index, MbCartPoint &pnt) const
 Get control point. More...
 
virtual ptrdiff_t GetNearPointIndex (const MbCartPoint &pnt) const
 Get index of the point nearest to the given one.
 
virtual void SetClosed (bool cls)
 Set attribute of closedness.
 
virtual void SetBegEndDerivesEqual ()
 Set equal derivatives at the ends.
 
virtual void ClosedBreak ()
 Make curve open, keeping coincidence of the beginning and the end.
 
virtual void RemovePoint (ptrdiff_t index)
 Remove control point with given index.
 
virtual void RemovePoints ()
 Remove all points.
 
virtual void AddPoint (const MbCartPoint &pnt)
 Add point to the end of the array of control points.
 
virtual bool ChangePointsValue (const SArray< MbCartPoint > &pntList)
 Change control points. More...
 
virtual void AddAfter (const MbCartPoint &pnt, ptrdiff_t index)
 Insert a point to the array of control points. More...
 
virtual void InsertPoint (double t, const MbCartPoint &pnt, const MbVector &v, double xEps, double yEps)
 Insert a point to the array of control points. More...
 
virtual void ChangePole (ptrdiff_t index, const MbCartPoint &pnt)
 Replace a pole. More...
 
virtual void ChangePoint (ptrdiff_t index, const MbCartPoint &pnt)
 Replace a point. More...
 
virtual void GetTList (SArray< double > &params) const
 
size_t GetPointListCount () const
 Get count of control points.
 
ptrdiff_t GetPointListMaxIndex () const
 Get maximal index of array of control points.
 
template<class PointsVector >
void GetPoints (PointsVector &pnts) const
 Get array of control points.

 
void GetPointList (SArray< MbCartPoint > &pnts) const
 Get array of control points.
 
void GetPointList (c3d::ParamPointsVector &pnts) const
 Get array of control points.
 
bool ReplacePoints (const SArray< MbCartPoint > &pnts)
 Replace the set of control points.
 
bool ReplacePoints (const std::vector< MbCartPoint > &pnts)
 Replace the set of control points.
 
const MbCartPointGetPointList (size_t i) const
 Get control point with the given index.
 
MbCartPointSetPointList (size_t i)
 Get control point with the given index.
 
ptrdiff_t GetUppIndex () const
 Get the maximal index of array of control points.

 
size_t GetSegmentsCount () const
 Get count of ranges.
 
template<class SegmentsVector >
void GetLineSegments (SegmentsVector &segments, double eps=PARAM_PRECISION) const
 Get the array of segments.
 
bool NurbsParam (double epsilon, double &pmin, double &pmax, ptrdiff_t &i1, double &t1, ptrdiff_t &i2, double &t2) const
 Get information for NurbsCurve function. 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 MbCurveoperator[] (size_t) const
 An access operator.
 
virtual MbResultType Extend (const MbCurveExtensionParameters &parameters, c3d::PlaneCurveSPtr &resCurve) const
 Extend the curve. More...
 
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).
 
virtual void _PointOn (double t, MbCartPoint &p) const
 Calculate point at curve and its extension. More...
 
virtual void _FirstDer (double t, MbVector &v) const
 Calculate first derivative at curve and its extension.
 
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.
 
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...
 
MbNurbsNurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const
 Construct a NURBS copy of a curve. More...
 
virtual MbCurveTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
virtual MbeLocation PointLocation (const MbCartPoint &pnt, double eps=Math::LengthEps) const
 The point position relative to the curve.
 
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...
 
virtual bool NearPointProjection (const MbCartPoint &pnt, double xEpsilon, double yEpsilon, double &t, bool ext, MbRect1D *tRange=nullptr) 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 TangentPoint (const MbCartPoint &pnt, SArray< double > &tFind) const
 Find tangents to a curve. More...
 
virtual void PerpendicularPoint (const MbCartPoint &pnt, SArray< double > &tFind) const
 Find perpendiculars to a curve. 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 void OffsetCuspPoint (SArray< double > &tCusps, double dist) const
 Find the special points of an offset curve. More...
 
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 double GetRadius (double accuracy=PARAM_REGION) const
 Get the physical radius of the curve or zero if it impossible. More...
 
virtual bool GetAxisPoint (MbCartPoint &p) const
 Calculate a point to construct an axis. More...
 
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...
 
MbCurveInverseDuplicate () 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 MbCurveGetBasisCurve () const
 Returns the base curve if exists or itself.
 
virtual MbCurveSetBasisCurve ()
 Returns the base curve if exists or itself.
 
virtual double GetParamDelta () const
 Return an indent by parameter of a curve.
 
virtual const MbCurveGetSubstrate () const
 Get a substrate or itself.
 
virtual MbCurveSetSubstrate ()
 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.
 
virtual void GetAnalyticalFunctionsBounds (std::vector< double > &params) const
 Get the boundaries of the curve sections that are described by one analytical function. More...
 
virtual void BreakPoints (std::vector< double > &vBreaks, double precision=ANGLE_REGION) const
 \ ru Определение точек излома кривой. The determination of curve smoothness break points.
 
MbPropertyCreateProperty (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...
 
virtual bool IsSimilar (const MbPlaneItem &item) const
 Determine whether the objects are similar. 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.
 
CommonRecursiveMutexGetLock () const
 Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.
 

Protected Member Functions

void DeleteSearchTree () const
 Delete segments search tree.
 
bool CreateSearchTree () const
 Create and fill segments search tree.
 
bool FindNearestSegmentsByTree (const MbCartPoint &, c3d::IndicesVector &) const
 Nearest to point segments by search tree.
 
bool FindIntersectingSegmentsByTree (const MbCartPoint &p1, const MbCartPoint &p2, double xEps, double yEps, c3d::IndicesVector &) const
 Intersecting of line segment and segments of polyline by search tree.
 
template<class CrossPointsVector >
bool SelfIntersect (CrossPointsVector &, bool tillFirst, double metricEps) const
 Self-intersection of a polyline.
 
- Protected Member Functions inherited from MbPolyCurve
 MbPolyCurve ()
 Default constructor.
 
 MbPolyCurve (const MbPolyCurve &pCurve)
 Copy-constructor.
 
virtual bool CanChangeClosed () const
 Determine whether it is possible to change an attribute of closedness.
 
- 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.
 

Additional Inherited Members

- Protected Attributes inherited from MbPolyCurve
SArray< MbCartPointpointList
 Set of control points.
 
ptrdiff_t uppIndex
 Count of curve pieces (is equal to count of control points minus one).
 
bool closed
 An attribute of curve closedness.
 
MbRect rect
 Bounding rectangle.
 
atomic_double metricLength
 Metric length of a spline.
 
- Protected Attributes inherited from MbCurve
SimpleName name
 A curve name. The object data is temporary and used internally.
 

Detailed Description

Polyline in two-dimensional space.

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

Member Function Documentation

◆ SetEqual()

bool MbPolyline::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 MbPolyline::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 MbPolyline::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.

◆ Move()

void MbPolyline::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.

◆ Rotate()

void MbPolyline::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.

◆ Duplicate()

MbPlaneItem& MbPolyline::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.

◆ PointOn()

void MbPolyline::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.

◆ Explore()

void MbPolyline::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.

◆ NurbsCurve() [1/2]

MbNurbs* MbPolyline::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.

◆ NurbsCurve() [2/2]

MbCurve* MbPolyline::NurbsCurve ( const MbNurbsParameters tParameters) const
overridevirtual

Construct a NURBS copy of a curve.

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

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

Reimplemented from MbCurve.

◆ Trimmed() [1/3]

MbCurve* MbPolyline::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.

◆ Step()

double MbPolyline::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 MbPolyline::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.

◆ GetLengthEvaluation()

double MbPolyline::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 MbPolyCurve.

◆ CalculateLength()

double MbPolyline::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.

◆ PointRelative()

MbeItemLocation MbPolyline::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 MbPolyline::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.

◆ CalculateLocalGabarit()

void MbPolyline::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.

◆ CalculateGabarit()

void MbPolyline::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.

◆ DistanceAlong()

bool MbPolyline::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.

◆ DistanceToPointIfLess()

bool MbPolyline::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.

◆ GoThroughPoint()

bool MbPolyline::GoThroughPoint ( MbCartPoint pnt)
overridevirtual

Create a curve through a point.

Change a curve such that it passes through the given point. Changes should not affect the whole curve. If the curve has any base objects, then the connection with them should not be modified. If the curve cannot be constructed, then the initial curve will not change, false is returned.

Parameters
[in]pnt- A given point.
Returns
True - if the modification is performed, otherwise - false.

Reimplemented from MbCurve.

◆ GetRuleInterval()

void MbPolyline::GetRuleInterval ( ptrdiff_t  index,
double &  t1,
double &  t2 
) const
overridevirtual

Get the range of influence of point of the curve.

Determines which range of curve parameter will be affected by changing of the control point with 'index' index.

Parameters
[in]index- Index of control point.
[out]t1- Minimal parameter of the range of influence.
[out]t2- Maximal parameter of the range of influence.

Implements MbPolyCurve.

◆ DeletePart()

MbeState MbPolyline::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 MbPolyline::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.

◆ IntersectHorizontal()

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

Find intersections of a curve with horizontal line.

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 MbPolyline::IntersectVertical ( double  x,
SArray< double > &  cross 
) const
overridevirtual

Find intersections of a curve with vertical line.

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 MbPolyline::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.

◆ Isoclinal()

void MbPolyline::Isoclinal ( const MbVector angle,
SArray< double > &  tFind 
) const
overridevirtual

Construct isoclines.

Construct lines at an angle to the axis OX and tangent to the curve.

Parameters
[in]angle- A vector defining an inclination angle of line to the axis OX.
[in,out]tFind- An array of parameters of a curve, corresponding to the tangent points.

Reimplemented from MbCurve.

◆ InsertPoint() [1/2]

void MbPolyline::InsertPoint ( ptrdiff_t  index,
const MbCartPoint pnt 
)
overridevirtual

Insert a point to the array of control points.

Insert the given point by index.

Parameters
[in]pnt- A given point.
[in]index- Index to insert a point by.

Implements MbPolyCurve.

◆ InsertPoint() [2/2]

void MbPolyline::InsertPoint ( double  t,
const MbCartPoint pnt,
double  xEps,
double  yEps 
)
overridevirtual

Insert a point to the array of control points.

Insert a point which corresponds to parameter 't' of the curve. If parameter 't' differs from the parameter of some point less than by the given tolerance, then the new point isn't inserted, already existent point close by parameter is replaced.

Parameters
[in]t- Parameter of the new point.
[in]pnt- A given point.
[in]xEps- Tolerance in x direction.
[in]yEps- Tolerance in y direction.

Implements MbPolyCurve.

◆ CheckParam()

bool MbPolyline::CheckParam ( double &  t,
ptrdiff_t &  i0,
ptrdiff_t &  i1,
double &  t0,
double &  t1 
) const
overridevirtual

Drive a parameter into the curve domain.

Check parameter. If it is out of the range of the curve parameters, then in case of closed curve drive it into the definition domain with changing by period. In case of open curve - make equal to the nearest boundary parameter. Determine indices of control points the given parameter is between, and also determine their parametric values.

Parameters
[in,out]t- On input - the given parameter. On output - parameter in the curve definition domain.
[out]i0- Index of control point to the left of the given parameter.
[out]i1- Index of control point to the right of the given parameter.
[out]t0- Parameter of control point to the left of the given parameter.
[out]t1- Parameter of control point to the right of the given parameter.
Returns
True if the operation succeeded.

Implements MbPolyCurve.

◆ IsContinuousDerivative()

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

Get properties of the object.

Set properties of the object. Get the basis points of the curve.

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

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

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

Reimplemented from MbCurve.

◆ SetContinuousDerivativeLength()

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

Eliminate the discontinuities of the first derivative at length.

Eliminate the discontinuities of the first derivatives of the length.

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

Reimplemented from MbCurve.

◆ GetProperties()

void MbPolyline::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 MbPolyline::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.

◆ SegmentIntersection()

template<class ParamsVector >
size_t MbPolyline::SegmentIntersection ( const MbLineSegment lineSegment,
double  xEps,
double  yEps,
ParamsVector &  ttPolyline,
ParamsVector &  ttSegment 
) const

Determine points of intersection with a line segment.

Determine intersection points of the polyline and a line segment.

Parameters
[in]lineSegment- A line segment.
[in]xEps- U-accuracy.
[out]ttPolyline- An array of parameters on the polyline.
[out]ttSegment- An array of parameters on the line segment.
Returns
The number of cross points.

◆ 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: