Spiral surface. More...

#include <surf_spiral_surface.h>

Inheritance diagram for MbSpiralSurface:

Collaboration diagram for MbSpiralSurface:

Public Member Functions
	MbSpiralSurface (const MbCurve3D &c, const MbPlacement3D &pos, double r, double s, double t1, double t2, bool sameCurve)
	Constructor by generatrix, local coordinate system, spiral radius and spiral pitch. More...

	MbSpiralSurface (const MbCurve3D &c, const MbConeSpiral &s, bool sameCurve)
	Constructor by generatrix and spiral. More...

Common functions of a geometric object
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...

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

void	SetProperties (const MbProperties &properties) 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.

Functions for working at surface domain
Functions PointOn, Derive... correct parameters when getting out of rectangular domain bounds.
void	PointOn (double &u, double &v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	DeriveU (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to u.

void	DeriveV (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to v.

void	DeriveUU (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to u.

void	DeriveVV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to v.

void	DeriveUV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative.

void	DeriveUUU (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUUV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveVVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

Functions for working inside and outside the surface domain.
functions _PointOn, _Derive... of surfaces don't correct parameters when getting out of rectangular domain bounds.
void	_PointOn (double u, double v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	_DeriveU (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to u on extended surface.

void	_DeriveV (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to v on extended surface.

void	_DeriveUU (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to u on extended surface.

void	_DeriveVV (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to v on extended surface.

void	_DeriveUV (double u, double v, MbVector3D &) const override
	Calculate second derivative on extended surface.

void	_DeriveUUU (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUUV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveVVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

Functions for get of the group of data inside and outside the surface's domain of parameters.
void	Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D uuDer, MbVector3D vvDer, MbVector3D uvDer, MbVector3D nor) const override
	Calculate point and derivatives of object for given parameters. More...

Functions of moving on surface
double	StepU (double u, double v, double sag) const override
	Calculate parameter step. More...

double	StepV (double u, double v, double sag) const override
	Calculate parameter step. More...

double	DeviationStepU (double u, double v, double angle) const override
	Calculate parameter step. More...

double	DeviationStepV (double u, double v, double angle) const override
	Calculate parameter step. More...

double	MetricStepU (double u, double v, double length) const override
	Calculate parameter step. More...

double	MetricStepV (double u, double v, double length) const override
	Calculate parameter step. More...

size_t	GetUCount () const override
	The number of splittings by u-parameter for a check of events.

size_t	GetVCount () const override
	The number of splittings by v-parameter for a check of events.

Common functions of surface.
double	CurvatureU (double u, double v) const override
	Calculate line curvature along the direction of u. More...

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Whether a surface is planar.

void	ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override
	Changing of carrier. More...

MbSplineSurface *	NurbsSurface (double, double, double, double, bool bmatch=false) const override
	Construct a NURBS copy of trimmed surface. More...

MbSurface *	Offset (double d, bool same) const override
	Create an offset surface. More...

MbCurve3D *	CurveU (double v, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line v = const. More...

MbCurve3D *	CurveV (double u, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line u = const. More...

bool	NearPointProjection (const MbCartPoint3D &pnt, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr) const override
	Find the projection of a point onto the surface. More...

bool	CreateNormalPlacements (const MbVector3D &axisZ, double angle, SArray< MbPlacement3D > &places, VERSION version=Math::DefaultMathVersion()) const override
	Construct normal placements of constructive planes.

bool	CreateTangentPlacements (const MbVector3D &axisZ, SArray< MbPlacement3D > &places) const override
	Construct tangent placements of constructive planes.

bool	IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
	Define whether the surfaces are similar for merge. More...

bool	GetMatrixToSurface (const MbSurface &surf, MbMatrix &matr, VERSION version, double precision=METRIC_PRECISION) const override
	Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'. More...

bool	GetCenterLines (std::vector< MbCurve3D * > &clCurves) const override
	Get center lines of a surface.

void	GetTesselation (const MbStepData &stepData, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const override
	Determine a splitting of parametric region of a surface by verticals and horizontals. More...

size_t	GetUMeshCount () const override
	The the number of splittings in u-direction.

size_t	GetVMeshCount () const override
	The the number of splittings in v-direction.

bool	IsLineU () const override
	Check that all derivatives of surface with respect to u which have more than first order are equal to null.

Functions of spiral surface
void	TransformMatrix (double v, MbMatrix3D &matr) const
	Determination of a transfer matrix for generatrix. More...

double	GetSpiralR () const
	Internal radius of coils.

double	GetStep () const
	Internal pitch of coils.

double	GetSpiralRadius () const
	Physical radius of coils.

double	GetSpiralStep () const
	Physical pitch of coils.

const MbPlacement3D &	GetPlacement () const
	Local coordinate system ('position.axisZ' is axis of spiral).

const MbCartPoint3D &	GetOrigin () const
	Center of gravity of generatrix.

MbConeSpiral *	CreateSpiral () const
	Construct a spiral.

bool	IsPositionNormal () const
	Whether the local coordinate system of a surface is orthonormalized.

bool	IsPositionCircular () const
	Whether the local coordinate system of a surface is orthogonal with X and Y axes equal by length.

bool	IsPositionIsotropic () const
	Whether the local coordinate system of a surface is orthogonal and isotropic by the axes.

bool	IsCircleType () const
	Whether a generatrix is a circle.

bool	GetProjectionRange (const MbCartPoint3D &pnt, bool ext, const MbRect2D *userRange, MbRect2D &resRange) const
	Estimate the projection range along V.

bool	CorrectVCount (double vbeg, double vend, size_t &cntv) const
	Correct the number of splittings by v-parameter for point projection.

Public Member Functions inherited from MbSweptSurface
MbeSpaceType	Type () const override
	Get the group object type.

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	GetUMin () const override
	Get the minimum value of u.

double	GetVMin () const override
	Get the minimum value of v.

double	GetUMax () const override
	Get the maximum value of u.

double	GetVMax () const override
	Get the maximum value of v.

bool	IsUClosed () const override
	Determine whether a surface is closed in u-parameter direction. More...

bool	IsVClosed () const override
	Determine whether a surface is closed in v-parameter direction. More...

bool	IsUTouch () const override
	Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure. More...

double	GetUPeriod () const override
	Return period for smoothly closed surface or 0.

const MbCurve3D &	GetCurve () const
	Get generating curve.

MbCurve3D &	SetCurve ()
	Get generating curve for editing.

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

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

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

MbeSpaceType	Family () const override
	Get family of objects.

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

void	AddYourGabaritTo (MbCube &c) 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 void	PrepareIntegralData (const bool forced) const
	Calculate temporary (mutable) data of an object. More...

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

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

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

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

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

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

virtual bool	IsVTouch () const
	Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure. More...

virtual bool	IsUPeriodic () const
	Determine whether a surface is closed in u-parameter direction. More...

virtual bool	IsVPeriodic () const
	Determine whether a surface is closed in v-parameter direction. More...

virtual double	GetVPeriod () const
	Return period for smoothly closed surface or 0.

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

virtual size_t	Periodicity () const
	Determine periodicity. More...

virtual bool	GetPoleUMin () const
	Whether a pole exists on parametric region boundary.

virtual bool	GetPoleUMax () const
	Whether a pole exists on parametric region boundary.

virtual bool	GetPoleVMin () const
	Whether a pole exists on parametric region boundary.

virtual bool	GetPoleVMax () const
	Whether a pole exists on parametric region boundary.

virtual bool	IsPole (double u, double v, double paramPrecision=PARAM_PRECISION) const
	Whether the point is a pole.

bool	IsPole (const MbCartPoint &uv, double paramPrecision=PARAM_PRECISION) const
	Whether the point is a pole.

virtual void	TangentU (double &u, double &v, MbVector3D &) const
	Calculate tangent vector in u.

virtual void	TangentV (double &u, double &v, MbVector3D &) const
	Calculate tangent vector in v.

virtual void	Normal (double &u, double &v, MbVector3D &) const
	Calculate normal.

virtual void	NormalU (double &u, double &v, MbVector3D &) const
	Calculate derivative of normal with respect to U.

virtual void	NormalV (double &u, double &v, MbVector3D &) const
	Calculate derivative of normal with respect to V.

virtual void	Explore (double &u, double &v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer) const
	Calculate point and first derivatives with respect to u and with respect to v. More...

virtual void	_TangentU (double u, double v, MbVector3D &) const
	Calculate tangent vector in u direction on extended surface.

virtual void	_TangentV (double u, double v, MbVector3D &) const
	Calculate tangent vector in v direction on extended surface.

virtual void	_Normal (double u, double v, MbVector3D &) const
	Calculate a normal on extended surface.

virtual void	_NormalU (double u, double v, MbVector3D &) const
	Calculate derivative of normal vector on extended surface.

virtual void	_NormalV (double u, double v, MbVector3D &) const
	Calculate derivative of normal vector on extended surface.

virtual void	_NormalUU (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalUV (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalVV (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

virtual void	_NormalDD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate second derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

virtual void	_PointNormal (double u, double v, MbCartPoint3D &pnt, MbVector3D &deru, MbVector3D &derv, MbVector3D &norm, MbVector3D &noru, MbVector3D &norv, MbVector3D &deruu, MbVector3D &dervv, MbVector3D &deruv) const
	Calculate all derivatives at point. More...

double	SurfaceStep (const double &u, const double &v, bool alongU, const MbStepData &stepData) const
	Calculate parameter step. More...

virtual const MbSurface &	GetSurface () const
	Get itself (it is overloaded only in CurveBoundedSurface).

virtual const MbSurface &	GetBasisSurface () const
	Get the base surface if exists or itself.

virtual MbSurface &	SetSurface ()
	Get itself (it is overloaded only in CurveBoundedSurface).

virtual MbSurface &	SetBasisSurface ()
	Get the base surface if exists or itself.

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

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

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

virtual double	CurvatureV (double u, double v) const
	Calculate line curvature along the direction of v. More...

double	NormalCurvatureU (double u, double v) const
	Calculate a normal curvature of line along the direction of u. More...

double	NormalCurvatureV (double u, double v) const
	Calculate a normal curvature of line along the direction of v. More...

double	NormalCurvature (double u, double v, double du, double dv) const
	Calculate a normal curvature of surface. More...

bool	MeanGaussCurvature (double u, double v, double &mean, double &gauss) const
	Calculate the mean and the Gaussian curvature. More...

bool	MainCurvatures (double u, double v, double &c1, double &c2, double &du, double &dv) const
	Calculate the mean and the Gaussian curvature. More...

virtual bool	IsSameBase (const MbSurface &) const
	Whether a base surface is a copy of the base surface of the given object.

virtual double	GetRadius () const
	Get the physical radius of the object or null if it impossible. More...

virtual double	GetFilletRadius (const MbCartPoint3D &p, double accuracy=METRIC_REGION) const
	Get fillet radius if the surface is a fillet surface with the set accuracy. More...

virtual MbeParamDir	GetFilletDirection (double accuracy=METRIC_REGION) const
	Direction of fillet surface with accuracy. More...

virtual bool	GetCylinderAxis (MbAxis3D &) const
	Get rotation axis of a surface.

virtual bool	GetCentre (MbCartPoint3D &c) const
	Give the center of sphere surface.

virtual bool	ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr)
	Changing of carrier elements. More...

virtual bool	IsSpinePeriodic () const
	Periodicity of the guide. More...

MbSplineSurface *	NurbsSurface (bool bmatch=false) const
	Construct a NURBS copy of a surface. More...

virtual MbSurface *	NurbsSurface (const MbNurbsParameters &uParam, const MbNurbsParameters &vParam) const
	Construct a NURBS copy of a surface. More...

bool	NurbsParam (const MbNurbsParameters &tParam, bool uParam, double op1, double op2, bool &isClosedNurbs, double &epsilon, SArray< double > &params) const
	Prepare parameters for the transformation to NURBS surface. More...

void	CheckApproxPointParamsOpen (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

void	CheckApproxPointParamsClosed (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

virtual MbCurve3D *	CurveUV (const MbLineSegment &segm, bool bApprox=true) const
	Construct spatial copy of line by parametric line. More...

virtual MbeItemLocation	PointRelative (const MbCartPoint3D &pnt, double eps=ANGLE_REGION) const
	Get point location relative to the surface. More...

virtual MbeItemLocation	PointClassification (const MbCartPoint &pnt, bool ignoreClosed=false) const
	A point is located inside the region on a surface. More...

virtual double	DistanceToBorder (const MbCartPoint &point, double &epsilon) const
	Calculate the parametric distance to the nearest boundary. More...

virtual size_t	CurveClassification (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
	Determine points of intersections between the curve and the surface contours. More...

size_t	SurfaceBorderIntersection (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
	Determine points of intersections between the curve and the surface contours. More...

virtual MbeNewtonResult	PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &u, double &v, bool ext) const
	Finding of point projection on surface. For internal use only.

virtual MbeNewtonResult	DirectPointProjectionNewton (const MbCartPoint3D &p, const MbVector3D &vect, size_t iterLimit, double &u, double &v, double &w, bool ext) const
	Finding of point projections to the surface in direction of the vector. For internal use only.

virtual void	DirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=nullptr) const
	Find all a point projection onto the surface along a vector in either of two directions. More...

virtual bool	NearDirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr, bool onlyPositiveDirection=false) const
	Find the nearest point projection to the surface in the vector direction. More...

virtual MbeNewtonResult	CurveIntersectNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of intersections between a surface and a curve. For internal use only.

virtual MbeNewtonResult	CurveTangentNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of tangency between a surface and a curve. For internal use only.

virtual void	CurveIntersection (const MbCurve3D &curv, SArray< MbCartPoint > &uv, SArray< double > &tt, bool ext0, bool ext, bool touchInclude=false) const
	Determine points of intersection between a surface and a curve. More...

virtual MbeNewtonResult	SurfaceIntersectNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces intersections. For internal use only.

virtual MbeNewtonResult	SurfaceTangentNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces tangency. For internal use only.

virtual MbeNewtonResult	SilhouetteNewton (const MbVector3D &eye, bool perspective, const MbAxis3D *axis, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u, double &v, bool ext) const
	Solution of equation system for determination of surface silhouette points. For internal use only.

virtual bool	IsSpecialSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const
	Whether the surfaces are similar to merge. Special case. For internal use only.

virtual bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, MbCurve *&curveNew) const
	Construction of projection of a surface curve on coincident surface. More...

bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, SPtr< MbCurve > &curveNew) const
	Construction of projection of a surface curve on coincident surface. More...

virtual ThreeStates	Salient () const
	Determine whether the surface is convex. More...

virtual double	DistanceToCurve (const MbCurve3D &curve, double &u, double &v, double &t, bool tCalc=false) const
	Calculate the nearest distance to a curve. More...

virtual double	DistanceToSurface (const MbSurface &surf1, double &u0, double &v0, double &u1, double &v1) const
	Calculate the nearest distance to a surface. More...

MbeNewtonResult	PlacementNewton (const MbVector3D &vec, double angle, MbeParamDir switchPar, size_t iterLimit, double &u, double &v) const
	Construct tangent placements of constructive planes. For internal use only.

bool	CreateVconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on v-lines.

bool	CreateUconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on u-lines.

virtual double	ParamArea () const
	Calculate the area of parameters domain.

virtual size_t	GetUPairs (double v, SArray< double > &u) const
	Calculate U-pairs by V. More...

virtual size_t	GetVPairs (double u, SArray< double > &v) const
	Calculate V-pairs by U. More...

MbeNewtonResult	IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &u, double &v) const
	Determination of parameters of a surface isocline point. For internal use only.

virtual void	GetIsoclinal (const MbVector3D &nor, SArray< MbCartPoint > &uv) const
	Find all isoclines of a surface. More...

virtual void	CalculateGabarit (MbCube &cube) const
	Calculate bounding box of surface. It is recommended to use GetGabarit.

void	CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
	Calculate bounding box in the local coordinate system.

const MbCube &	GetGabarit () const
	Calculate bounding box of surface.

const MbCube &	Cube () const
	Return saved bounding box. It should be empty. It is recommended to use GetGabarit.

void	SetDirtyGabarit () const
	Make the bounding box empty. For internal use only.

void	CopyGabarit (const MbSurface &s, const MbVector3D *to=nullptr)
	Copy the bounding box from the copy. More...

double	GetGabDiagonal () const
	Calculate the diagonal of the bounding box.

void	CalculateRect (const MbPlacement3D &place, MbRect &rect) const
	Calculate the rectangular bounding box of a surface in the given plane. More...

virtual MbContour &	MakeContour (bool sense) const
	Return the bounding two-dimensional contour. More...

virtual MbCurve &	MakeSegment (size_t i, bool sense) const
	Return a segment of the bounding two-dimensional contour. More...

MbCurve &	MakeCurve (size_t number1, size_t number2) const
	Return a segment of the bounding two-dimensional contour. More...

virtual bool	SetLimit (double u1, double v1, double u2, double v2)
	Set surface limits. For internal use only.

bool	SetLimit (const MbRect &)
	Set surface limits. For internal use only.

virtual void	SetExtendedParamRegion (double u1, double v1, double u2, double v2)
	Set extended limits of surface. For internal use only.

virtual void	IncludePoint (double u, double v)
	Include a point into domain. For internal use only.

double	GetMaxParamDeltaU () const
	Get the maximum increment of U-parameter.

double	GetMaxParamDeltaV () const
	Get the maximum increment of V-parameter.

virtual double	GetParamDelta () const
	Get the maximum increment of parameter.

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

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

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

virtual double	GetUParamToUnit (double u, double v) const
	Get increment of u-parameter, corresponding to the unit length in space.

virtual double	GetVParamToUnit (double u, double v) const
	Get increment of v-parameter, corresponding to the unit length in space.

double	GetUParamToUnit (const MbCartPoint &uv) const
	Get increment of u-parameter, corresponding to the unit length in space.

double	GetVParamToUnit (const MbCartPoint &uv) const
	Get increment of v-parameter, corresponding to the unit length in space.

virtual void	GetParamsToUnit (double u, double v, double &uParam, double &vParam) const
	Get increment of parameters, corresponding to the unit length in space.

double	GetUEpsilon () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetUEpsilon (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetURegion () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

double	GetURegion (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

void	CalculatePolygon (double minPar, double maxPar, double constPar, MbeParamDir dir, const MbStepData &stepData, MbPolygon3D &polygon) const
	Calculate polygon by u or v. More...

virtual void	CalculateSurfaceWire (const MbStepData &stepData, size_t beg, MbMesh &mesh, size_t uMeshCount=c3d::WIRE_MAX, size_t vMeshCount=c3d::WIRE_MAX) const
	Calculate mesh. More...

void	AddTesselation (const MbStepData &stepData, MbeParamDir dir, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
	Determine splitting of the surface parametric region according to direction. More...

virtual void	CalculateSurfaceGrid (const MbStepData &stepData, bool sense, MbGrid &grid) const
	Approximate a surface by triangular plates. More...

virtual bool	IsRectangular () const
	Determine whether derivatives with respect to u and v are orthogonal.

virtual bool	IsLineV () const
	Check that all derivatives of surface with respect to v which have more than first order are equal to null.

virtual bool	IsShift (const MbSpaceItem &obj, MbVector3D &dir, bool &isSame, double accuracy=LENGTH_EPSILON) const
	Determine whether the object is a translation. More...

virtual void	CheckSurfParams (double &u, double &v) const
	Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. More...

bool	GetPlacement (MbPlacement3D *place, bool exact=false) const
	Get a local coordinate system of planar surface (or only a possibility of getting it).

bool	GetPlanePlacement (MbPlacement3D &place) const
	Get a local coordinate system if a surface is a plane.

bool	GetControlPlacement (MbPlacement3D &place, bool sameSense=true) const
	Construct a local coordinate system of a surface with origin at the middle point of base surface parametric limits. More...

bool	OrientPlacement (MbPlacement3D &place, bool normalSense=true) const
	Orient an axis X of a placement along the line of its intersection with surface.

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

void	PointOn (MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate the point on a surface inside the domain of surface.

void	_PointOn (const MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate a point on a surface extension.

void	Normal (MbCartPoint &uv, MbVector3D &v) const
	Calculate the normal vector to a surface inside the domain of surface.

bool	GetMatrix (double xMin, double xMax, double yMin, double yMax, MbMatrix &matr) const
	Find a matrix of transformation for the curves on a surface when the parameterization is changed. More...

double	GetUMid () const
	The middle value of u.

double	GetVMid () const
	The middle value of v.

double	GetURange () const
	Parametric length by u.

double	GetVRange () const
	Parametric length by v.

void	GetRect (MbRect &r) const
	Get parametric bounding box.

void	GetRect (MbRect2D &r) const
	Get parametric bounding box.

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.

Additional Inherited Members
Protected Member Functions inherited from MbSweptSurface
	MbSweptSurface (const MbCurve3D &, bool same)
	Constructor by generatrix. More...

void	InitSwept (const MbSweptSurface &)
	Initialization by swept surface.

bool	CheckPlaneByLimitPoints () const
	Check by boundary points, whether a surface may be planar.

Protected Member Functions inherited from MbSurface
	MbSurface ()
	Constructor.

	MbSurface (const MbSurface &)
	Copy-constructor.

void	MoveGabarit (const MbVector3D &v)
	Move bounding box.

void	NormalCalculation (const MbVector3D &uDer, const MbVector3D &vDer, double u, double v, bool ext, MbVector3D &nor) const
	Normal calculation by derivatives uDer and vDer on point with parameters u, v.

double	StepAlong (double u, double v, double sag, bool alongU, double stepMinCoeff, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by sag.

double	DeviationStepAlong (double u, double v, double angle, bool alongU, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by normal deviation.

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

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

Protected Attributes inherited from MbSweptSurface
MbCurve3D *	curve
	Generating curve.

double	umin
	Minimal value of parameter u.

double	vmin
	Minimal value of parameter v.

double	umax
	Maximal value of parameter u.

double	vmax
	Maximal value of parameter v.

bool	uclosed
	An attribute of closedness in u-parameter direction.

bool	vclosed
	An attribute of closedness in v-parameter direction.

Protected Attributes inherited from MbSurface
MbCube	cube
	Bounding box of surface. More...

Detailed Description

Spiral surface.

A spiral surface is obtained by moving of a generating curve along a cylindrical spiral. Spiral surface is a special case of sweep surface. A spiral axis is directed along the Z-axis of the local coordinate system. The second parameter of a surface is measured from the axis "position.axisX" of the local coordinate system. Radius-vector of the surface is described by the vector function
r(u,v) = position.origin + (M(v) (curve(u) - origin)),
where M(v) is rotation matrix.
The first surface parameter coincides with the parameter of generatrix. The second surface parameter coincides with rotation angle of a spiral point around its axis.

Constructor & Destructor Documentation

◆ MbSpiralSurface() [1/2]

MbSpiralSurface::MbSpiralSurface	(	const MbCurve3D &	c,
		const MbPlacement3D &	pos,
		double	r,
		double	s,
		double	t1,
		double	t2,
		bool	sameCurve
	)

Constructor by generatrix, local coordinate system, spiral radius and spiral pitch.

Parameters

[in]	c	- Generatrix
[in]	pos	- Local coordinate system
[in]	r	- Spiral radius
[in]	s	- Spiral pitch
[in]	t1	- Start parameter of spiral
[in]	t2	- End parameter of spiral
[in]	sameCurve	- Attribute of using the original of generatrix instead of its copy.

◆ MbSpiralSurface() [2/2]

MbSpiralSurface::MbSpiralSurface	(	const MbCurve3D &	c,
		const MbConeSpiral &	s,
		bool	sameCurve
	)

Constructor by generatrix and spiral.

Parameters

[in]	c	- Generatrix
[in]	s	- Spiral
[in]	sameCurve	- Attribute of using the original of generatrix instead of its copy.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbSpiralSurface::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 MbSpiralSurface::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 MbSpiralSurface::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 MbSpiralSurface::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 MbSpiralSurface::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 MbSpiralSurface::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 MbSpiralSurface::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.

◆ GetProperties()

void MbSpiralSurface::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 MbSpiralSurface::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.

◆ PointOn()

void MbSpiralSurface::PointOn	(	double &	u,
		double &	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

Correct parameters when getting out of rectangular domain bounds and Calculate a point on the surface.

Parameters

[in]	u	- First surface parameter.
[in]	v	- Second surface parameter.
[out]	p	- A point on the surface.

Implements MbSurface.

◆ _PointOn()

void MbSpiralSurface::_PointOn	(	double	u,
		double	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

Calculate a point on the surface including the outside area determination parameters.

Parameters

[in]	u	- First surface parameter.
[in]	v	- Second surface parameter.
[out]	p	- A point on the surface or on extended surface.

Reimplemented from MbSurface.

◆ Explore()

void MbSpiralSurface::Explore	(	double &	u,
		double &	v,
		bool	ext,
		MbCartPoint3D &	pnt,
		MbVector3D &	uDer,
		MbVector3D &	vDer,
		MbVector3D *	uuDer,
		MbVector3D *	vvDer,
		MbVector3D *	uvDer,
		MbVector3D *	nor
	)		const

overridevirtual

Calculate point and derivatives of object for given parameters.

Values of point and derivatives are calculated on parameters area and on extended surface.

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.
[in]	ext	- On parameters area (false), on extended surface (true).
[out]	pnt	- Point.
[out]	uDer	- Derivative with respect to u.
[out]	vDer	- Derivative with respect to v.
[out]	uuDer	- Second derivative with respect to u, if not nullptr.
[out]	vvDer	- Second derivative with respect to v, if not nullptr.
[out]	uvDer	- Second derivative with respect to u and v, if not nullptr.

Reimplemented from MbSurface.

◆ StepU()

double MbSpiralSurface::StepU	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ StepV()

double MbSpiralSurface::StepV	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepU()

double MbSpiralSurface::DeviationStepU	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of u. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepV()

double MbSpiralSurface::DeviationStepV	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of v. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ MetricStepU()

double MbSpiralSurface::MetricStepU	(	double	u,
		double	v,
		double	length
	)		const

overridevirtual

Calculate parameter step.

Calculate the parameter step for approximation of a surface by the given metric length of a step along a line with a constant value of u.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	len	- The given metric length.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ MetricStepV()

double MbSpiralSurface::MetricStepV	(	double	u,
		double	v,
		double	length
	)		const

overridevirtual

Calculate parameter step.

Calculate the parameter step for approximation of a surface by the given metric length of a step along a line with a constant value of v.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	len	- The given metric length.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ CurvatureU()

double MbSpiralSurface::CurvatureU	(	double	u,
		double	v
	)		const

overridevirtual

Calculate line curvature along the direction of u.

There is calculated a line curvature along the direction of u when v = const.

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.

Returns: Curvature.

Reimplemented from MbSurface.

◆ ChangeCarrier()

void MbSpiralSurface::ChangeCarrier	(	const MbSpaceItem &	item,
		MbSpaceItem &	init
	)

overridevirtual

Changing of carrier.

It is used for union of coplanar faces.

Reimplemented from MbSurface.

◆ NurbsSurface()

MbSplineSurface* MbSpiralSurface::NurbsSurface	(	double	u1,
		double	u2,
		double	v1,
		double	v2,
		bool	bmatch = `false`
	)		const

overridevirtual

Construct a NURBS copy of trimmed surface.

An obtained surface is always unclosed in u and in v. The exception is the NURBS surface itself. If the surface does not require recalculation, then a copy of it is returned. Parameters u1, u2, v1 and v2 are the bounds of surface trimming.

Parameters

[in]	u1	- Minimum parameter in U.
[in]	u2	- Maximum parameter in U.
[in]	v1	- Minimum parameter in V.
[in]	v2	- Maximum parameter in V.
[in]	bmatch	- true, if it is required to keep one-to-one correspondence of parametric regions in mapping.

Reimplemented from MbSurface.

◆ Offset()

MbSurface* MbSpiralSurface::Offset	(	double	d,
		bool	same
	)		const

overridevirtual

Create an offset surface.

Parameters

[in]	d	- Distance by the normal vector from the base surface to the offset surface.
[in]	same	- A flag showing whether to use the current surface or its copy in offset surface.

Reimplemented from MbSurface.

◆ CurveU()

MbCurve3D* MbSpiralSurface::CurveU	(	double	v,
		MbRect1D *	pRgn,
		bool	bApprox = `true`
	)		const

overridevirtual

Construct spatial copy of the line v = const.

Parameters

[in]	v	- Parameter in V direction.
[in]	pRgn	- A range of u-parameters.
[in]	bApprox	- If false, then it returns null only in a case when the exact curve has been successfully created. If true, then it returns null in a case when the curve is not degenerate.

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ CurveV()

MbCurve3D* MbSpiralSurface::CurveV	(	double	u,
		MbRect1D *	pRgn,
		bool	bApprox = `true`
	)		const

overridevirtual

Construct spatial copy of the line u = const.

Parameters

[in]	u	- Parameter in U direction.
[in]	pRgn	- A range of v-parameters.
[in]	bApprox	- If false, then it returns null only in a case when the exact curve has been successfully created. If true, then it returns null in a case when the curve is not degenerate.

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ NearPointProjection()

bool MbSpiralSurface::NearPointProjection	(	const MbCartPoint3D &	pnt,
		double &	u,
		double &	v,
		bool	ext,
		MbRect2D *	uvRange = `nullptr`
	)		const

overridevirtual

Find the projection of a point onto the surface.

Find the nearest point projection to the surface or its extension by the given initial approximation. If the range of parameters changing 'uvRange' is set, then it is required to find a projection in the given range. A range of parameters may not belong to the domain of a surface. The Newton method is used.

Parameters

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

Returns: True - if there is found a projection which satisfies to all input conditions.

Reimplemented from MbSurface.

◆ IsSimilarToSurface()

bool MbSpiralSurface::IsSimilarToSurface	(	const MbSurface &	surf,
		VERSION	version,
		double	precision = `METRIC_PRECISION`
	)		const

overridevirtual

Define whether the surfaces are similar for merge.

Surfaces are similar for merge if they coincide geometrically or one surface transits to another.

Parameters

[in]	surf	- A given surface.
[in]	version	- Version of operation.
[in]	precision	- Precision of calculation.

Returns: True - if surfaces are similar.

Reimplemented from MbSurface.

◆ GetMatrixToSurface()

bool MbSpiralSurface::GetMatrixToSurface	(	const MbSurface &	surf,
		MbMatrix &	matr,
		VERSION	version,
		double	precision = `METRIC_PRECISION`
	)		const

overridevirtual

Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'.

Calculation of matrix of transformation from one parametric region to another. it is performed for the surfaces which are similar for merge.

Parameters

[in]	surf	- A given surface.
[out]	matr	- A transformation matrix.
[in]	version	- Version of operation.
[in]	precision	- Precision of calculation.

Returns: True - matrix is calculated.

Reimplemented from MbSurface.

◆ GetTesselation()

void MbSpiralSurface::GetTesselation	(	const MbStepData &	stepData,
		double	u1,
		double	u2,
		double	v1,
		double	v2,
		SArray< double > &	uu,
		SArray< double > &	vv
	)		const

overridevirtual

Determine a splitting of parametric region of a surface by verticals and horizontals.

Determine a splitting of parametric region of a surface by verticals and horizontals during triangulation.

Parameters

[in]	stepData	- Data for step calculation during triangulation.
[in]	u1	- Minimal value of u-parameter in the region of surface splitting.
[in]	u2	- Maximal value of u-parameter in the region of surface splitting.
[in]	v1	- Minimal value of v-parameter in the region of surface splitting.
[in]	v2	- Maximal value of v-parameter in the region of surface splitting.
[out]	uu	- A set of parameters of splitting by u.
[out]	vv	- A set of parameters of splitting by v.

Reimplemented from MbSurface.

◆ TransformMatrix()

void MbSpiralSurface::TransformMatrix	(	double	v,
		MbMatrix3D &	matr
	)		const

Determination of a transfer matrix for generatrix.

Determination of matrix when transferring the generatrix from the parameter vmin to the parameter v.

Parameters

[in]	v	- A new parameter on the spiral
[out]	matr	- A matrix - the result

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

surf_spiral_surface.h

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MbSpiralSurface() [1/2]

◆ MbSpiralSurface() [2/2]

Member Function Documentation

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ IsSimilar()

◆ Transform()

◆ Move()

◆ Rotate()

◆ GetProperties()

◆ SetProperties()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ StepU()

◆ StepV()

◆ DeviationStepU()

◆ DeviationStepV()

◆ MetricStepU()

◆ MetricStepV()

◆ CurvatureU()

◆ ChangeCarrier()

◆ NurbsSurface()

◆ Offset()

◆ CurveU()

◆ CurveV()

◆ NearPointProjection()

◆ IsSimilarToSurface()

◆ GetMatrixToSurface()

◆ GetTesselation()

◆ TransformMatrix()