Projection curve. More...

#include <cur_projection_curve.h>

Inheritance diagram for MbProjCurve:

Collaboration diagram for MbProjCurve:

Public Member Functions
	MbProjCurve (const MbCurve3D &sCurve, bool sameSpaceCurve, const MbSurface &surface, const MbCurve &pCurve, bool samePlaneCurve, MbRegDuplicate *iReg=nullptr)
	Constructor by spatial curve, surface and two-dimensional curve. More...

	MbProjCurve (const MbCurve3D &sCurve, bool sameSpaceCurve, const MbCurve &pCurve, bool samePlaneCurve, const MbSurface &surface, MbRegDuplicate *iReg=nullptr)
	Constructor by spatial curve, surface and two-dimensional curve. More...

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

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...

virtual void	Transform (const MbMatrix3D &, MbRegTransform *ireg=nullptr)

virtual void	Move (const MbVector3D &to, MbRegTransform *=nullptr)

virtual void	Rotate (const MbAxis3D &axis, double angle, MbRegTransform *=nullptr)

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...

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

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...

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

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

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

Functions for description of a curve domain.
double	GetTMax () const override
	Get the maximum value of parameter.

double	GetTMin () const override
	Get the minimum value of parameter.

bool	IsClosed () const override
	Define whether the curve is periodic. More...

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

Functions for working in the curve's 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 &v) const override
	Calculate first derivative.

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

void	ThirdDer (double &t, MbVector &v) 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	_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...

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

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

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

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

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

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

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

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

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

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

double	Step (double t, double sag) const override
	Calculate parameter step. More...

double	DeviationStep (double t, double angle) const override
	Calculate parameter step. More...

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

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

const MbCurve3D &	GetSpaceCurve () const

const MbSurface &	GetSurface () const

const MbCurve &	GetParamCurve () const

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

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

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

bool	SetSameSurface (const MbSurface &s)
	Whether the projecting curve lies on the surface.

bool	IsBelong () const
	Whether the projecting curve lies on the surface.

bool	InvertNormal (MbRegTransform *=nullptr)
	Invert normal if the surface is a plane.

bool	ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr)
	Change a carrier.

MbCurve *	CreateSpline (double relEps, MbRect1D *pRgn=nullptr) const
	Get 2d spline which approximates given curve with a given relative tolerance.

MbProjCurve *	AddCurve (const MbProjCurve &, double accuracy, VERSION version=Math::DefaultMathVersion()) const
	Create a curve by joining a part of this curve with a part of other curve.

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

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

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

void	SetBasisPoints (const MbControlData &) override
	Change the object by control points.

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

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

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

MbePlaneType	Family () const override
	Get family of object.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual bool	IsStraight (bool ignoreParams=false) const
	Define whether the curve is rectilinear..

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

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

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

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

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

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

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

virtual MbContour *	NurbsContour () 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 bool	IsInRectForDeform (const MbRect &) const
	Determine visibility of a curve in rectangle.

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

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...

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

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

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

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

virtual 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.

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

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...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

MbProperty &	CreateProperty (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.

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

Additional Inherited Members
Protected Member Functions inherited from MbCurve
	MbCurve ()
	Default constructor.

	MbCurve (const MbCurve &other)
	Copy-constructor.

Protected Member Functions inherited from MbPlaneItem
	MbPlaneItem ()
	Constructor.

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

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

Detailed Description

Projection curve.

Projection curve is constructed in parametric space of surface as projection of spatial curve 'spaceCurve' onto surface 'surface'. If surface isn't planar, then it is considered that spatial curve lies on surface. Two-dimensional curve 'curve' contains initial approximations for precise calculation of the projection curve.

Constructor & Destructor Documentation

◆ MbProjCurve() [1/2]

MbProjCurve::MbProjCurve	(	const MbCurve3D &	sCurve,
		bool	sameSpaceCurve,
		const MbSurface &	surface,
		const MbCurve &	pCurve,
		bool	samePlaneCurve,
		MbRegDuplicate *	iReg = `nullptr`
	)

Constructor by spatial curve, surface and two-dimensional curve.

Constructor by spatial curve, surface and two-dimensional curve.
Two-dimensional curve is used as initial approximation for calculation of projection curve.
Copy of surface substrate is used in the constructor.

Deprecated:: Deprecated constructor. Instead use a new constructor.

Parameters

[in]	sCurve	- A projected spatial curve.
[in]	sameSpaceCurve	- Use the original of the spatial curve.
[in]	surface	- The surface to project the spatial curve.
[in]	pCurve	- A parametric curve - initial approximation for projecting of a spatial curve.
[in]	samePlaneCurve	- Use the original of the parametric curve.
[in]	iReg	- Registrar of duplication.

◆ MbProjCurve() [2/2]

MbProjCurve::MbProjCurve	(	const MbCurve3D &	sCurve,
		bool	sameSpaceCurve,
		const MbCurve &	pCurve,
		bool	samePlaneCurve,
		const MbSurface &	surface,
		MbRegDuplicate *	iReg = `nullptr`
	)

Constructor by spatial curve, surface and two-dimensional curve.

Constructor by spatial curve, surface and two-dimensional curve.
Two-dimensional curve is used as initial approximation for calculation of projection curve.
Copy of surface substrate is used in the constructor.

Parameters

[in]	sCurve	- A projected spatial curve.
[in]	sameSpaceCurve	- Use the original of the spatial curve.
[in]	pCurve	- A parametric curve - initial approximation for projecting of a spatial curve.
[in]	samePlaneCurve	- Use the original of the parametric curve.
[in]	surface	- The surface to project the spatial curve.
[in]	iReg	- Registrar of duplication.

Member Function Documentation

◆ IsSimilar()

bool MbProjCurve::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 MbProjCurve::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 MbProjCurve::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 MbProjCurve::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 MbProjCurve::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 MbProjCurve::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& MbProjCurve::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.

◆ PrepareIntegralData()

void MbProjCurve::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.

◆ CalculateGabarit()

void MbProjCurve::CalculateGabarit ( MbRect & ) const

overridevirtual

Detect the bounding box of a curve.

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

Reimplemented from MbCurve.

◆ CalculateLocalGabarit()

void MbProjCurve::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.

◆ IsClosed()

bool MbProjCurve::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 MbProjCurve::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 MbProjCurve::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 MbProjCurve::_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 MbProjCurve::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.

◆ PointProjection()

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

overridevirtual

Calculate the point projection to the curve.

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

Parameters

[in] pnt - A given point.

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

Reimplemented from MbCurve.

◆ NearPointProjection()

bool MbProjCurve::NearPointProjection	(	const MbCartPoint &	pnt,
		double	xEpsilon,
		double	yEpsilon,
		double &	t,
		bool	ext,
		MbRect1D *	tRange = `nullptr`
	)		const

overridevirtual

Find the point projection to the curve.

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

Note: Mathematical kernel provides a thread-safe function implementation for its objects.

Parameters

[in]	pnt	- A given point.
[in]	xEpsilon	- A tolerance of detection of the projection by x axis.
[in]	yEpsilon	- A tolerance of detection of the projection by y axis.
[in,out]	t	- Input - initial approximation, output - parameter of a curve corresponding to the nearest projection.
[in]	ext	- A flag defining whether to seek projection on the extension of the curve.
[in]	tRange	- A range of parameter changing in which the solution should be found.

Returns: Returns true if the found parameter is in a valid range (according to the given ext, tRange parameters), or false - otherwise.

Reimplemented from MbCurve.

◆ HasLength()

bool MbProjCurve::HasLength ( double & length ) const

overridevirtual

Calculate the metric length of a curve.

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

Parameters

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

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

Implements MbCurve.

◆ GetMetricLength()

double MbProjCurve::GetMetricLength ( ) const

overridevirtual

Calculate the metric length of a curve.

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

Returns: Length of a curve.

Implements MbCurve.

◆ GetLengthEvaluation()

double MbProjCurve::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.

◆ CalculateLength()

double MbProjCurve::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.

◆ NurbsCurve()

MbNurbs* MbProjCurve::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.

◆ DeletePart()

MbeState MbProjCurve::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 MbProjCurve::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.

◆ Step()

double MbProjCurve::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 MbProjCurve::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.

◆ Trimmed() [1/2]

MbCurve* MbProjCurve::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.

◆ Trimmed() [2/2]

MbCurve* MbProjCurve::Trimmed	(	double	t1,
		double	t2,
		int	sense,
		bool	saveParamLenAndLaw = `false`
	)		const

overridevirtual

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.

Reimplemented from MbCurve.

◆ GetRadius()

double MbProjCurve::GetRadius ( double accuracy = PARAM_REGION ) const

overridevirtual

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

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

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

Reimplemented from MbCurve.

◆ GetAxisPoint()

bool MbProjCurve::GetAxisPoint ( MbCartPoint & p ) const

overridevirtual

Calculate a point to construct an axis.

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

Returns: true, if such axis exists.

Reimplemented from MbCurve.

◆ GetProperties()

void MbProjCurve::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 MbProjCurve::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.

The documentation for this class was generated from the following file:

cur_projection_curve.h

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MbProjCurve() [1/2]

◆ MbProjCurve() [2/2]

Member Function Documentation

◆ IsSimilar()

◆ SetEqual()

◆ IsSame()

◆ Transform()

◆ Move()

◆ Rotate()

◆ Duplicate()

◆ PrepareIntegralData()

◆ CalculateGabarit()

◆ CalculateLocalGabarit()

◆ IsClosed()

◆ GetPeriod()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ PointProjection()

◆ NearPointProjection()

◆ HasLength()

◆ GetMetricLength()

◆ GetLengthEvaluation()

◆ CalculateLength()

◆ NurbsCurve()

◆ DeletePart()

◆ TrimmPart()

◆ Step()

◆ DeviationStep()

◆ Trimmed() [1/2]

◆ Trimmed() [2/2]

◆ GetRadius()

◆ GetAxisPoint()

◆ GetProperties()

◆ SetProperties()