Reparametrized curve in three-dimensional space. More...

#include <cur_reparam_curve3d.h>

Inheritance diagram for MbReparamCurve3D:

Collaboration diagram for MbReparamCurve3D:

Public Types
enum	MbeReparamType { rt_Linear , rt_Quadratic , rt_ScaledEndDers , rt_Proportional , rt_User }

Public Member Functions
	MbReparamCurve3D (const MbCurve3D &, double t1, double t2)
	Constructor by curve and by new parametric limits.

	MbReparamCurve3D (const MbCurve3D &, double t1, double t2, double begFirstDerValue)
	Constructor by curve and by new parametric limits.

	MbReparamCurve3D (double dt1, double dt2, const MbCurve3D &curve)
	Constructor for the curve and derivatives of the parameter at its ends.

void	Init (double t1, double t2)
	Set curve parametric range.

void	Init (double t1, double t2, double begFirstDerValue)
	Set curve parametric range and first derive length.

void	InitScaledEnds (double scaleDer1, double scaleDer2)
	Set curve parametric range.

bool	InitProportional (double t1, double t2)
	Set the parametric area of the curve proportional to the metric length of the curve.

bool	InitByUsersFunction (MbFunction &repFunc)
	Set users reparameterization function.

MbeSpaceType	IsA () const override
	Get the type of the object.

MbSpaceItem &	Duplicate (MbRegDuplicate *=nullptr) const override
	Create a copy of the object. More...

bool	IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const override
	Determine whether an object is equal. More...

bool	SetEqual (const MbSpaceItem &) override
	Make objects equal if they are similar. More...

bool	IsSimilar (const MbSpaceItem &) const override
	Determine whether an object is similar. More...

void	Transform (const MbMatrix3D &, MbRegTransform *=nullptr) override
	Convert the object according to the matrix. More...

void	Move (const MbVector3D &, MbRegTransform *=nullptr) override
	Move an object along a vector. More...

void	Rotate (const MbAxis3D &, double angle, MbRegTransform *=nullptr) override
	Rotate an object around an axis at a given angle. More...

double	DistanceToPoint (const MbCartPoint3D &) const override
	Determine the distance to the point. More...

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

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

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

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

void	GetBasisItems (RPArray< MbSpaceItem > &) override
	Outstanding reference objects in a container sent.

void	GetBasisPoints (MbControlData3D &) const override
	Get control points of object.

void	SetBasisPoints (const MbControlData3D &) override
	Change the object by control points.

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. If a curve is not periodic then 0.

void	PointOn (double &t, MbCartPoint3D &) const override
	Calculate a point on the curve. More...

void	FirstDer (double &t, MbVector3D &) const override
	Calculate first derivative.

void	SecondDer (double &t, MbVector3D &) const override
	Calculate second derivative.

void	ThirdDer (double &t, MbVector3D &) const override
	Calculate third derivative.

void	Normal (double &t, MbVector3D &) const override
	Calculate main normal vector.

void	_PointOn (double t, MbCartPoint3D &) const override
	Calculate point at curve and its extension. More...

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

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

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

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

void	Explore (double &t, bool ext, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D sec, MbVector3D thir) const override
	Calculate point and derivatives of object for given parameter. More...

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

MbCurve3D *	NurbsCurve (const MbNurbsParameters &) const override
	Construct a NURBS copy of a curve. More...

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

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

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

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

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

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

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

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

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

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

bool	IsDegenerate (double eps=METRIC_PRECISION) const override
	Check whether the curve is degenerated.calculate.

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

double	Curvature (double) const override
	Calculate curvature of curve.

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

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

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

void	CalculatePolygon (const MbStepData &stepData, MbPolygon3D &polygon) const override
	Calculate an array of points for drawing. More...

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

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

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

void	GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const override
	Get n points of a curve with equal intervals by arc length.

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

void	GetIsoclinal (const MbVector3D &nor, SArray< double > &tIso) const override
	Find all isoclines of a curve. More...

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

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

MbCurve *	GetMap (const MbMatrix3D &, MbRect1D pRgn=nullptr, VERSION version=Math::DefaultMathVersion(), bool coincParams=nullptr) const override
	Construct a planar projection of a piece of a space curve. More...

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

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

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Is a curve planar?

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

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

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

double	Tmin () const
	Start parameter.

double	Tmax () const
	End parameter.

double	Dt () const
	Derivative of parameter of 'basisCurve' curve by parameter.

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

MbCurve3D &	SetSubstrate () override
	Get a substrate or itself.

int	SubstrateCurveDirection () const override
	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.

bool	GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const override
	Fill the placement if a curve is planar.

bool	GetPlaneCurve (MbCurve *&curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const override
	Get planar curve and placement if the space curve is planar. More...

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

bool	IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const override
	Whether the object is a shift.

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

bool	IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const override
	Have the first derivative of the curve the continuous length and direction? More...

bool	SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) override
	Eliminate the discontinuities of the first derivative at length. More...

bool	IsProportional () const
	Is the re-parametrization proportional?

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

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

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

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

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

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

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

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

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

MbeSpaceType	Family () const override
	Get family of objects.

virtual MbCurve3D &	InverseDuplicate () const
	Create a copy with changed direction.

double	DistanceToPoint (const MbCartPoint3D &) const override
	Determine the distance to the point. More...

void	AddYourGabaritTo (MbCube &) const override
	Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...

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

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

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

virtual void	Tangent (double &t, MbVector3D &) const
	Calculate tangent vector (normalized).

virtual void	BNormal (double &t, MbVector3D &) const
	Calculate binormal vector.

virtual void	_Tangent (double t, MbVector3D &) const
	Calculate tangent vector (normalized) at curve and its extension.

virtual void	_BNormal (double t, MbVector3D &) const
	Calculate binormal vector (normalized) at curve and its extension.

virtual void	FastApproxExplore (double &t, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec) const
	Calculate point and derivatives on the curve. More...

double	CurveStep (const double &t, const MbStepData &stepData) const
	Calculate parameter step. More...

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

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

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

virtual size_t	NurbsCurveMinPoints (const MbNurbsParameters &tParameters, double epsilon=c3d::METRIC_DELTA) const
	Define the number of knots of a NURBS curve which is required to approximate the curve with the given tolerance. More...

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

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

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

virtual bool	ChangeCarrierBorne (const MbSpaceItem &item, MbSpaceItem &init, const MbMatrix &matr)
	Change the carrier. More...

MbProperty &	CreateProperty (MbePrompt name) const override
	Create your own property with the name.

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

virtual MbeNewtonResult	PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &t, bool ext) const
	Find the point projection to the curve. More...

virtual MbeNewtonResult	IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &t) const
	Find isoclines of a curve. More...

virtual double	DistanceToCurve (const MbCurve3D &curve2, double &t1, double &t2) const
	Calculate the nearest distance to a curve.

virtual double	DistanceToPlace (const MbPlacement3D &place, double &t0, double &angle) const
	The nearest point of a curve by the placement.

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

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

void	GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const
	Get n points of a curve with equal intervals by parameter.

void	GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint3D > &pnts) const

void	GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint3D > &pnts) const

void	GetBasisPoints (MbControlData3D &) const override
	Get control points of object.

void	SetBasisPoints (const MbControlData3D &) override
	Change the object by control points.

bool	IsSpaceNear (const MbCurve3D &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const
	Check whether the two curves are metrically close. More...

bool	IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
	Check whether a point is on a curve or not.

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

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

MbCartPoint3D	PointOn (double &t) const
	Calculate point on the curve.

MbVector3D	FirstDer (double &t) const
	Calculate first derivative.

MbVector3D	SecondDer (double &t) const
	Calculate second derivative.

MbVector3D	ThirdDer (double &t) const
	Calculate third derivative.

MbCartPoint3D	GetLimitPoint (ptrdiff_t number) const
	Calculate the boundary point. More...

void	GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const
	Calculate the boundary point. More...

MbVector3D	GetLimitTangent (ptrdiff_t number) const
	Calculate a tangent vector to the boundary point. More...

void	GetLimitTangent (ptrdiff_t number, MbVector3D &v) const
	Calculate a tangent vector to the boundary point. More...

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

bool	SetInParamRegion (double &t) const
	Move to the parametric region.

bool	IsParamOn (double t, double eps) const
	Check whether a parameter is in the range of the curve.

bool	IsInverseSame (const MbCurve3D &curve, double accuracy=LENGTH_EPSILON) const
	Whether an inversed curve is the same.

virtual bool	IsReparamSame (const MbCurve3D &curve, double &factor) const
	Define whether a reparameterized curve is the same. More...

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

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

double	GetTEpsilon () const
	Get the minimum distinguishable value of parameter.

double	GetTEpsilon (double t) const
	Get the minimum distinguishable value of parameter.

double	GetTRegion () const
	Get the minimum distinguishable value of parameter.

double	GetTRegion (double t) const
	Get the minimum distinguishable value of parameter.

double	GetTRegion (double t, const MbDimAccuracy &xyzEps) const
	Get the minimum distinguishable value of parameter with the given three-dimensional accuracy according to parameter.

bool	GetPlaneCurve (SPtr< MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
	Get planar curve and placement if the space curve is planar. More...

bool	GetPlaneCurve (SPtr< const MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
	Get planar curve and placement if the space curve is planar. More...

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

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

void	CalculateGrid (double radius, const MbStepData &stepData, MbMesh &mesh) const
	Approximation of a curve by the flat tube with the given radius.

SimpleName	GetCurveName () const
	A curve name.

void	SetCurveName (SimpleName newName)
	Set a curve name.

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

void	PrepareWrite () const
	Register object. More...

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

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

void	CalculateWire (const MbStepData &stepData, MbMesh &mesh) const

void	CalculateWire (double sag, MbMesh &mesh) const

Public Member Functions inherited from TapeBase
	TapeBase (RegistrableRec regs=noRegistrable)
	Constructor.

	TapeBase (const TapeBase &)
	Copy-constructor.

virtual	~TapeBase ()
	Destructor.

RegistrableRec	GetRegistrable () const
	Whether the stream class is registrable.

void	SetRegistrable (RegistrableRec regs=registrable) const
	Set the state of registration of the stream class.

virtual const char *	GetPureName (const VersionContainer &) const
	Get the class name.

Public Member Functions inherited from MbRefItem
refcount_t	GetUseCount () const
	Get count of references (get count of owners of an object).

refcount_t	AddRef () const
	Increase count of references by one.

refcount_t	DecRef () const
	Decrease count of references by one.

refcount_t	Release () const
	Decrease count of references by one and if count of references became zero, then remove itself.

Public Member Functions inherited from MbNestSyncItem
void	Lock () const
	Switch lock on (locking happens only in parallel region).

void	Unlock () const
	Switch lock off if locking has been set.

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

Static Public Member Functions
static MbReparamCurve3D *	CreateProportional (const MbCurve3D &curve, double t1, double t2)
	Set the parametric area of the curve proportional to the metric length of the curve.

static MbReparamCurve3D *	CreateByFunction (const MbCurve3D &curve, MbFunction &repFunc)
	Set users reparameterization function.

Protected Attributes
MbCurve3D *	basisCurve
	The base curve.

MbeReparamType	reparamType
	Way of repatametrization.

SPtr< MbFunction >	repFunction
	Reparametric function for calculation the base curve parameter.

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

Additional Inherited Members
Protected Member Functions inherited from MbCurve3D
	MbCurve3D ()
	Default constructor.

	MbCurve3D (const MbCurve3D &other)
	Copy-constructor.

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

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

Detailed Description

Reparametrized curve in three-dimensional space.

Reparametrized curve is used for matching domains of curves.
Geometrically reparametrized curve completely coincides with base curve 'basisCurve'. Reparametrized curve has another definition domain and as a result another length of its derivatives. Parameters of base curve and reparametrized curve are related by the equality:
For linear reparametrization b * (t - tmin) = t_basisCurve - tmin_basisCurve, where 't' - parameter of reparametrized curve. For quadratic reparametrization t_basisCurve = a * t * t + b * t + c, where 't' - parameter of reparametrized curve. When the quadratic reparametrization is used it is possible to define the first derivative value at the beginning of the curve. Another reparametrized curve can't be the base curve for a reparametrized curve. In this situation it changes to the initial base curve.

Member Enumeration Documentation

◆ MbeReparamType

enum MbReparamCurve3D::MbeReparamType

Enumerator
rt_Linear	Linear reparametrization.
rt_Quadratic	Quadratic reparametrization.
rt_ScaledEndDers	Reparametrization with a given scale of the derivative at the ends.
rt_Proportional	The poportional to the length of the curve parametrization.
rt_User	User defined function.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbReparamCurve3D::Duplicate ( MbRegDuplicate * iReg = nullptr ) const

overridevirtual

Create a copy of the object.

Create a copy of an object using the registrator. Registrator is used to prevent multiple copy of the object. If the object contains references to the other objects, then nested objects are copied as well. It is allowed not to pass registrator into the function. Then new copy of object will be created. While copying of single object or set of not connected objects, it is allowed not to use registrator. Registrator should be used if it is required to copy several connected objects. It is possible, that objects connection is based on the references to common objects. Then, while copying without using of registrator, it is possible to obtain set of copies, that contain references to the different copies of the same nested object, that leads to loss of connection between copies.

Parameters

[in] iReg - Registrator.

Returns: A copy of the object.

Implements MbSpaceItem.

◆ IsSame()

bool MbReparamCurve3D::IsSame	(	const MbSpaceItem &	other,
		double	accuracy = `LENGTH_EPSILON`
	)		const

overridevirtual

Determine whether an object is equal.

Still considered objects of the same type, all data is the same (equal).

Parameters

[in]	item	- The object to compare.
[in]	accuracy	- The accuracy to compare.

Returns: Whether the objects are equal.

Implements MbSpaceItem.

◆ SetEqual()

bool MbReparamCurve3D::SetEqual ( const MbSpaceItem & item )

overridevirtual

Make objects equal if they are similar.

You can still make only a similar objects.

Parameters

[in] item - The object to initialize.

Returns: Object is changed.

Implements MbSpaceItem.

◆ IsSimilar()

bool MbReparamCurve3D::IsSimilar ( const MbSpaceItem & item ) const

overridevirtual

Determine whether an object is similar.

Such are considered the same objects whose data are similar.

Parameters

[in] item - The object to compare.

Returns: Whether the objects are similar.

Reimplemented from MbSpaceItem.

◆ Transform()

void MbReparamCurve3D::Transform	(	const MbMatrix3D &	matr,
		MbRegTransform *	iReg = `nullptr`
	)

overridevirtual

Convert the object according to the matrix.

Convert the original object according to the matrix using the registrator. If object contains references to the other geometric objects, then nested objects are transformed according to the matrix. Registrator is needed to prevent multiple object copying. It is allowed to use function without registrator, if it is needed to transform single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be transformed.

Parameters

[in]	matr	- Transformation matrix.
[in]	iReg	- Registrator.

Implements MbSpaceItem.

◆ Move()

void MbReparamCurve3D::Move	(	const MbVector3D &	to,
		MbRegTransform *	iReg = `nullptr`
	)

overridevirtual

Move an object along a vector.

Move an object along a geometric vector using the registrator. If object contains references to the other geometric objects then the move operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be moved.

Parameters

[in]	to	- Shift vector.
[in]	iReg	- Registrator.

Implements MbSpaceItem.

◆ Rotate()

void MbReparamCurve3D::Rotate	(	const MbAxis3D &	axis,
		double	angle,
		MbRegTransform *	iReg = `nullptr`
	)

overridevirtual

Rotate an object around an axis at a given angle.

Rotate an object around an axis at a given angle with the registrator. If object contains references to the other geometric objects then the rotation operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be rotated.

Parameters

[in]	axis	- The axis of rotation.
[in]	angle	- Rotation.
[in]	iReg	- Registrator.

Implements MbSpaceItem.

◆ DistanceToPoint()

double MbReparamCurve3D::DistanceToPoint ( const MbCartPoint3D & point ) const

overridevirtual

Determine the distance to the point.

Parameters

[in] point - Point.

Returns: Distance to point

Implements MbSpaceItem.

◆ PrepareIntegralData()

void MbReparamCurve3D::PrepareIntegralData ( const bool forced ) const

overridevirtual

Calculate temporary (mutable) data of an object.

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

Parameters

[in] forced - Forced recalculation.

Reimplemented from MbCurve3D.

◆ GetProperties()

void MbReparamCurve3D::GetProperties ( MbProperties & properties )

overridevirtual

Outstanding properties of the object.

Issue internal data (properties) of the object for viewing and modification.

Parameters

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

Implements MbSpaceItem.

◆ SetProperties()

void MbReparamCurve3D::SetProperties ( const MbProperties & properties )

overridevirtual

Change the properties of an object.

Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.

Parameters

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

Implements MbSpaceItem.

◆ IsClosed()

bool MbReparamCurve3D::IsClosed ( ) const

overridevirtual

Define whether the curve is periodic.

Define whether the curve is periodic.
A periodic curve is closed. A curve is considered as periodic if:

start point is coincident with end point;
derivatives in start point and end point coincide;
if there are breaks at curve (in cases when a curve is contour or polyline), then derivatives may not coincide; in Bezier curve derivatives should coincide by direction, but they may differ by absolute value.
Curves:
MbLine3D,
MbLineSegment3D,
MbSpiral and inherited classes,
MbBridgeCurve3D,
MbContour3D (if it contains only a single segment of one of the listed types)
are not considered periodic when the start and end points coincide. The IsClosed() method always returns false for them.
Returns
True if a curve is closed.

Implements MbCurve3D.

◆ PointOn()

void MbReparamCurve3D::PointOn	(	double &	t,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the curve.

Correct parameter when getting out of domain bounds and calculate a point on the curve.

Parameters

[in]	t	- Curve parameter.
[out]	p	- A point on the curve.

Implements MbCurve3D.

◆ _PointOn()

void MbReparamCurve3D::_PointOn	(	double	t,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate point at curve and its extension.

Calculate a point on the curve including the outside area determination parameter.

Parameters

[in]	t	- Curve parameter.
[out]	p	- A point on the curve.

Reimplemented from MbCurve3D.

◆ Explore()

void MbReparamCurve3D::Explore	(	double &	t,
		bool	ext,
		MbCartPoint3D &	pnt,
		MbVector3D &	fir,
		MbVector3D *	sec,
		MbVector3D *	thir
	)		const

overridevirtual

Calculate point and derivatives of object for given parameter.

Values of point and derivatives are calculated on parameter area and on extended curve.

Parameters

[in]	t	- Parameter.
[in]	ext	- On parameters area (false), on extended curve (true).
[out]	pnt	- Point.
[out]	fir	- Derivative with respect to t.
[out]	sec	- Second derivative with respect to t, if not nullptr.
[out]	thir	- Third derivative with respect to t, if not nullptr.

Reimplemented from MbCurve3D.

◆ NurbsCurve() [1/2]

MbNurbs3D* MbReparamCurve3D::NurbsCurve ( const MbCurveIntoNurbsInfo & nInfo ) const

overridevirtual

Construct a NURBS copy of a curve.

Constructs a NURBS curve which approximates a given curve inside the range [t1, t2]. with a given direction. If it is possible, constructs the accurate curve, perhaps with multiple knots. The number of knots for NURBS is defined depending on the curve.

Parameters

[in]	t1	- Parameter corresponding to start of approximated part of a curve.
[in]	t2	- Parameter corresponding to end of approximated part of a curve.
[in]	sense	- Does the direction of parameter increasing along the NURBS curve coincide with direction of the initial curve. 'sense' > 0 - direction coincide.
[in]	nInfo	- Parameters of conversion of a curve to NURBS.

Returns: The constructed NURBS curve or nullptr in a case of failure.

Reimplemented from MbCurve3D.

◆ NurbsCurve() [2/2]

MbCurve3D* MbReparamCurve3D::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 MbCurve3D.

◆ Trimmed() [1/3]

MbCurve3D* MbReparamCurve3D::Trimmed	(	double	t1,
		double	t2,
		int	sense,
		const MbDimAccuracy &	xyzEps,
		bool	saveParamLenAndLaw
	)		const

overridevirtual

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters

[in]	t1	- Parameter corresponding to start of a trimmed curve.
[in]	t2	- Parameter corresponding to end of a trimmed curve.
[in]	sense	- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]	xyzEps	- Three-dimensional accuracy.
[in]	saveParLenAndLaw	- Save parametric length and law.

Returns: A constructed trimmed curve.

Warning: Under development.

Reimplemented from MbCurve3D.

◆ CalculateLength()

double MbReparamCurve3D::CalculateLength	(	double	t1,
		double	t2
	)		const

overridevirtual

Calculate the metric length of a curve.

Calculate the metric length of unclosed curve from parameter t1 to parameter t2. The condition t1 < t2 should satisfied.

Parameters

[in]	t1	- Start parameter of a curve section.
[in]	t2	- End parameter of a curve section.

Returns: Length of a curve.

Reimplemented from MbCurve3D.

◆ DistanceAlong()

bool MbReparamCurve3D::DistanceAlong	(	double &	t,
		double	len,
		int	curveDir,
		double	eps = `Math::metricPrecision`,
		VERSION	version = `Math::DefaultMathVersion()`
	)		const

overridevirtual

Translate parameter along the curve.

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

Parameters

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

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

Reimplemented from MbCurve3D.

◆ GetLengthEvaluation()

double MbReparamCurve3D::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 MbCurve3D.

◆ CalculateLocalGabarit()

void MbReparamCurve3D::CalculateLocalGabarit	(	const MbMatrix3D &	into,
		MbCube &	cube
	)		const

overridevirtual

To compute bounding box in a local coordinate system.

To obtain bounding box of object with regar to a local coordinate system, sent box is made to be empty. Then it is computed bounding box of object in a local coordinate system \ and it is stored in box 'cube'

Parameters

[in]	into	- Transformation matrix from object's current coordinate system to a local coordinate system
[in,out]	cube	- Information on bounding box

Implements MbSpaceItem.

◆ Step()

double MbReparamCurve3D::Step	(	double	t,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the curve's approximation by its sag value. Calculation of the step is performed with consideration of curvature radius. A step of curve's approximation is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters

[in]	t	- A parameter defining the point on a curve, at which a step should be calculated.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ DeviationStep()

double MbReparamCurve3D::DeviationStep	(	double	t,
		double	ang
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the curve's approximation by the deviation angle of the tangent vector. A step of curve's approximation is chosen in such way, that angular deviation of the tangent curve at the next point does not exceed the given value ang.

Parameters

[in]	t	- A parameter defining the point on a curve, at which a step should be calculated.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ MetricStep()

double MbReparamCurve3D::MetricStep	(	double	t,
		double	length
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

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

Returns: A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ CalculatePolygon()

void MbReparamCurve3D::CalculatePolygon	(	const MbStepData &	stepData,
		MbPolygon3D &	polygon
	)		const

overridevirtual

Calculate an array of points for drawing.

Get an array of drawn points with a given sag. If the cure is a contour then knots of a contour are duplicated.

Parameters

[in]	stepData	- Data for step calculation.
[in,out]	polygon	- A polygon of calculated points on a curve.

Reimplemented from MbCurve3D.

◆ NearPointProjection()

bool MbReparamCurve3D::NearPointProjection	(	const MbCartPoint3D &	pnt,
		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.

Parameters

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

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

Reimplemented from MbCurve3D.

◆ GetIsoclinal()

void MbReparamCurve3D::GetIsoclinal	(	const MbVector3D &	nor,
		SArray< double > &	tIso
	)		const

overridevirtual

Find all isoclines of a curve.

Find the points on a curve where the tangent is parallel to a plane having a normal nor.

Parameters

[in]	nor	- A vector which defines a plane.
[out]	tIso	- An array of parameters of points for the required tangent.

Reimplemented from MbCurve3D.

◆ GetMap()

MbCurve* MbReparamCurve3D::GetMap	(	const MbMatrix3D &	into,
		MbRect1D *	pRegion = `nullptr`,
		VERSION	version = `Math::DefaultMathVersion()`,
		bool *	coincParams = `nullptr`
	)		const

overridevirtual

Construct a planar projection of a piece of a space curve.

Parameters

[in]	into	- The transformation matrix from the global coordinate system into a plane of view.
[in]	pRegion	- A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve..
[in]	version	- Version, last by default.
[in,out]	coincParams	- A flag of coincidence between parameterization of initial curve and its projection if coincParams != nullptr then the function tries to create a projection with coincident parameterization if *coincParams = true then parameterization of projection coincides with parameterization of initial curve.

Returns: Two-dimensional projection of a curve

Reimplemented from MbCurve3D.

◆ GetRadius()

double MbReparamCurve3D::GetRadius ( double accuracy = METRIC_REGION ) const

overridevirtual

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

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

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

Reimplemented from MbCurve3D.

◆ GetCircleAxis()

bool MbReparamCurve3D::GetCircleAxis ( MbAxis3D & axis ) const

overridevirtual

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

Parameters

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

Reimplemented from MbCurve3D.

◆ GetPlaneCurve()

bool MbReparamCurve3D::GetPlaneCurve	(	MbCurve *&	curve2d,
		MbPlacement3D &	place,
		bool	saveParams,
		PlanarCheckParams	params = `PlanarCheckParams()`
	)		const

overridevirtual

Get planar curve and placement if the space curve is planar.

Get planar curve and placement if the space curve is planar (after the using call DeleteItem for two-dimensional curves).

Parameters

[out]	curve2d	- The resulting flat curve.
[out]	place	- The coordinate system of the resulting 2D curve.
[in]	saveParams	- The parameter specifying the preservation of the correspondence of the parameterization for the two-dimensional curve. If true - parameterization of curve2d curve must match the parameterization of the original curve this. If false - curve parameterizations may not correspond. The curve2d is more likely to be detected than with the true flag.
[in]	params	- Validation parameters.

Returns: true if a flat curve was created.

Reimplemented from MbCurve3D.

◆ IsContinuousDerivative()

bool MbReparamCurve3D::IsContinuousDerivative	(	bool &	contLength,
		bool &	contDirect,
		c3d::DoubleVector *	params = `nullptr`,
		double	epsilon = `EPSILON`
	)		const

overridevirtual

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

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

Parameters

[out]	contLength	- The length is continuous (true/false).
[out]	contDirect	- The direction of the first derivative is continuous (true/false).
[in]	epsilon	- The accuracy of the calculation.

Reimplemented from MbCurve3D.

◆ SetContinuousDerivativeLength()

bool MbReparamCurve3D::SetContinuousDerivativeLength	(	VERSION	version,
		double	epsilon = `EPSILON`
	)

overridevirtual

Eliminate the discontinuities of the first derivative at length.

Eliminate the discontinuities of the first derivatives of the length.

Parameters

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

Reimplemented from MbCurve3D.

◆ Trimmed() [2/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters

[in]	t1	- Parameter corresponding to start of a trimmed curve.
[in]	t2	- Parameter corresponding to end of a trimmed curve.
[in]	sense	- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]	saveParLenAndLaw	- Save parametric length and law.

Returns: A constructed trimmed curve.

◆ Trimmed() [3/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters

[in]	t1	- Parameter corresponding to start of a trimmed curve.
[in]	t2	- Parameter corresponding to end of a trimmed curve.
[in]	sense	- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]	xyzEps	- Three-dimensional accuracy.
[in]	saveParLenAndLaw	- Save parametric length and law.

Returns: A constructed trimmed curve.

Warning: Under development.

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

cur_reparam_curve3d.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ MbeReparamType

Member Function Documentation

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ IsSimilar()

◆ Transform()

◆ Move()

◆ Rotate()

◆ DistanceToPoint()

◆ PrepareIntegralData()

◆ GetProperties()

◆ SetProperties()

◆ IsClosed()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ NurbsCurve() [1/2]

◆ NurbsCurve() [2/2]

◆ Trimmed() [1/3]

◆ CalculateLength()

◆ DistanceAlong()

◆ GetLengthEvaluation()

◆ CalculateLocalGabarit()

◆ Step()

◆ DeviationStep()

◆ MetricStep()

◆ CalculatePolygon()

◆ NearPointProjection()

◆ GetIsoclinal()

◆ GetMap()

◆ GetRadius()

◆ GetCircleAxis()

◆ GetPlaneCurve()

◆ IsContinuousDerivative()

◆ SetContinuousDerivativeLength()

◆ Trimmed() [2/3]

◆ Trimmed() [3/3]