C3D Toolkit  Kernel - 117978, Vision - 2.9.1.5

Trimmed curve in two-dimensional space. More...

#include <cur_trimmed_curve.h>

+ Inheritance diagram for MbTrimmedCurve:
+ Collaboration diagram for MbTrimmedCurve:

Public Member Functions

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.
 
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 &other, 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 &pnt, 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 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...
 
bool IsInRectForDeform (const MbRect &r) 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...
 
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.
 
bool IsClosed () const override
 Define whether the curve is periodic. More...
 
double GetPeriod () const override
 Return period. More...
 
bool IsDegenerate (double eps=Math::LengthEps) const override
 Define whether the curve is degenerate..
 
Functions for working in a curve domain.

Functions PointOn, FirstDer, SecondDer, ThirdDer,... correct parameter if it is out of domain bounds.

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.

void _PointOn (double t, MbCartPoint &p) const override
 Calculate point at curve and its extension. More...
 
void _FirstDer (double t, MbVector &v) const override
 Calculate first derivative at curve and its extension.
 
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...
 
Functions of moving 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
double Curvature (double t) const override
 Calculate curvature of curve.
 
bool HasLength (double &length) const override
 Calculate the metric length of a curve. More...
 
double GetLengthEvaluation () const override
 Calculate the metric length of a curve. More...
 
double GetMetricLength () const override
 Calculate the metric length of a curve. More...
 
bool GetMiddlePoint (MbCartPoint &) const override
 Calculate a middle point of a curve.
 
double PointProjection (const MbCartPoint &pnt) const override
 Calculate the point projection to the curve. More...
 
bool IsStraight (bool ignoreParams=false) const override
 Define whether the curve is rectilinear..
 
MbeItemLocation PointRelative (const MbCartPoint &pnt, double eps=Math::LengthEps) const override
 Define the point position relative to the curve. More...
 
void GetAnalyticalFunctionsBounds (std::vector< double > &params) const override
 Get the boundaries of the curve sections that are described by one analytical function.
 
const MbCurveGetBasisCurve () const override
 Returns the base curve if exists or itself.
 
MbCurveSetBasisCurve () override
 Returns the base curve if exists or itself.
 
void Isoclinal (const MbVector &angle, SArray< double > &tFind) const override
 Construct isoclines. More...
 
bool GetSpecificPoint (const MbCartPoint &from, double &dmax, MbCartPoint &pnt) const override
 Return a specific point of a curve. 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...
 
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...
 
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...
 
void ParameterInto (double &t) const
 
void ParameterFrom (double &t) const
 
double GetBasisParameter (double &t) const
 
bool IsBaseParamOn (double t, double eps=Math::paramEpsilon) const
 
double GetTrim1 () const
 
double GetTrim2 () const
 
int GetSense () const
 
void SetTrim1 (double t)
 
void SetTrim2 (double t)
 
void Inverse (MbRegTransform *iReg=nullptr) override
 Set the opposite direction of curve.
 
bool GetAxisPoint (MbCartPoint &p) const override
 Calculate a point to construct an axis. More...
 
bool IsSimilarToCurve (const MbCurve &curve, double precision=PARAM_PRECISION) const override
 Define whether the curves are similar for the merge.
 
double GetRadius (double accuracy=PARAM_REGION) const override
 Get the physical radius of the curve or zero if it impossible. More...
 
bool GetCentre (MbCartPoint &) const override
 Calculate center of curve.
 
size_t GetCount () const override
 Define the number of splittings for one passage in operations.
 
const MbCurveGetSubstrate () const override
 Get a substrate or itself.
 
MbCurveSetSubstrate () override
 Get a substrate or itself.
 
int SubstrateCurveDirection () const override
 Return direction of a substrate relative to a curve or vice versa.
 
void SubstrateToCurve (double &) const override
 Transform a substrate parameter to the curve parameter.
 
void CurveToSubstrate (double &) const override
 Transform a curve parameter to the substrate parameter.
 
void GetProperties (MbProperties &properties) override
 Get properties of the object. More...
 
void SetProperties (const MbProperties &properties) 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.
 
MbResultType Extend (const MbCurveExtensionParameters &parameters, c3d::PlaneCurveSPtr &resCurve) const override
 Extend the curve. More...
 
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...
 
- 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 void AddYourGabaritMtr (MbRect &rect, const MbMatrix &matr) const
 Add a bounding box to rectangle. More...
 
virtual void CalculateLocalGabarit (const MbMatrix &into, MbRect &local) const
 Calculate bounding box in the local coordinate system. 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 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.
 
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 IsSmoothConnected (double angleEps) const
 Define whether joints of contour/curve are smooth.
 
double GetParamLength () const
 Calculate the parametric length of a curve.
 
virtual double CalculateMetricLength () const
 Calculate the metric length of a curve.
 
virtual double CalculateLength (double t1, double t2) const
 Calculate the metric length of a curve. More...
 
virtual bool DistanceAlong (double &t, double len, int curveDir, double eps=Math::LengthEps, VERSION version=Math::DefaultMathVersion()) const
 Translate parameter along the curve. More...
 
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 MbContourNurbsContour () const
 Approximate of a curve by the contour from NURBS curves.
 
virtual MbeState Deformation (const MbRect &rect, const MbMatrix &matr)
 Deform the 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...
 
virtual void IntersectHorizontal (double y, SArray< double > &cross) const
 Find intersections of a curve with horizontal line. More...
 
virtual void IntersectVertical (double x, SArray< double > &cross) const
 Find intersections of a curve with vertical line. 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 SelfIntersect (SArray< MbCrossPoint > &, double metricEps=Math::LengthEps) const
 Find self-intersections of curve. More...
 
virtual void OffsetCuspPoint (SArray< double > &tCusps, double dist) const
 Find the special points of an offset curve. More...
 
virtual bool GoThroughPoint (MbCartPoint &pnt)
 Create a curve through a point. 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.
 
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...
 
virtual bool GetWeightCentre (MbCartPoint &) const
 Calculate the center of gravity of a curve.
 
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 double GetParamDelta () const
 Return an indent by parameter of a curve.
 
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 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.
 
virtual bool IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const
 Get properties of the object. More...
 
virtual bool SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON)
 Eliminate the discontinuities of the first derivative at length. More...
 
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.
 
CommonRecursiveMutexGetLock () const
 Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.
 

Protected Attributes

MbCurvebasisCurve
 Base curve (can't be nullptr).
 
double trim1
 Parameters of start point.
 
double trim2
 Parameters of end point.
 
int sense
 Flag of coincidence of the direction with the direction of the base curve (sense==0 isn't allowed) If (sense > 0), then (trim2 > trim1) If (sense < 0), then (trim2 < trim1) Equality of 'trim1' and 'trim2' isn't allowed.
 
MbRect rect
 Bounding rectangle.
 
atomic_double metricLength
 Metric length of a trimmed curve.
 
- Protected Attributes inherited from MbCurve
SimpleName name
 A curve name. The object data is temporary and used internally.
 

Additional Inherited Members

- 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.
 

Detailed Description

Trimmed curve in two-dimensional space.

Trimmed curve describes a piece of base curve 'basisCurve' which starts at point with 'trim1' parameter and ends at point with 'trim2' parameter.
Described piece can have the direction coinciding with the direction of a base curve (sense == +1), and also can have the direction opposite to the direction of a base curve (sense == -1). For closed periodic curves the described piece can contain the start point of base curve inside. Another trimmed curve can't be the base curve for a trimmed curve. In this situation it changes to the initial base curve.

Member Function Documentation

◆ IsSimilar()

bool MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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& MbTrimmedCurve::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.

◆ CalculateGabarit()

void MbTrimmedCurve::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.

◆ PrepareIntegralData()

void MbTrimmedCurve::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.

◆ IsClosed()

bool MbTrimmedCurve::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.

◆ GetPeriod()

double MbTrimmedCurve::GetPeriod ( ) const
overridevirtual

Return period.

Return the period value if a curve can be closed. Let unclosed curve return null.

Returns
The value of period for a closed curve or null - for unclosed curve.

Reimplemented from MbCurve.

◆ PointOn()

void MbTrimmedCurve::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 MbTrimmedCurve::_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 MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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 MbTrimmedCurve::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.

◆ GetLengthEvaluation()

double MbTrimmedCurve::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.

◆ GetMetricLength()

double MbTrimmedCurve::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.

◆ PointProjection()

double MbTrimmedCurve::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.

◆ PointRelative()

MbeItemLocation MbTrimmedCurve::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.

◆ Isoclinal()

void MbTrimmedCurve::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.

◆ GetSpecificPoint()

bool MbTrimmedCurve::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.

◆ DeletePart()

MbeState MbTrimmedCurve::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 MbTrimmedCurve::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* MbTrimmedCurve::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.

◆ NurbsCurve() [1/2]

MbNurbs* MbTrimmedCurve::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* MbTrimmedCurve::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.

◆ GetAxisPoint()

bool MbTrimmedCurve::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.

◆ GetRadius()

double MbTrimmedCurve::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.

◆ GetProperties()

void MbTrimmedCurve::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 MbTrimmedCurve::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.

◆ Extend()

MbResultType MbTrimmedCurve::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.

◆ 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: