Smooth surface. More...

#include <surf_smooth_surface.h>

Inheritance diagram for MbSmoothSurface:

Collaboration diagram for MbSmoothSurface:

Public Member Functions
Initialization functions
virtual void	Init0 (double tmin, double tmax, bool insertPoints=true)=0
	Correction of the middle line of fillet surface. More...

Common functions of a geometric object
MbeSpaceType	Type () const override
	Get the group object type.

Functions for surface domain description
double	GetUMin () const override
	Get the minimum value of u.

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

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

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...

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

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

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

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

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

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

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

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

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

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

Functions of smooth surface
virtual MbSmoothSurface &	CurvesDuplicate () const =0
	A copy with the same support surfaces.

MbSurface &	TotalDuplicate () const
	Perform a full copying of a surface.

virtual double	GetSmoothRadius () const =0
	Get radius.

virtual void	GetDistances (double u, double &d1, double &d2) const =0
	Get radii with a sign.

virtual double	GetDistance (bool s) const =0
	Get radius with a sign.

virtual bool	SurfacesCombine (const MbSurfaceIntersectionCurve &edge, const MbSurface &init, bool add, MbMatrix &matr, const MbSurfaceIntersectionCurve *seam)
	Combine surfaces by inclusion of the surface 'init' into the given surface. More...

virtual double	DistanceRatio (bool firstCurve, MbCartPoint3D &p, double distance) const
	Get coefficient for radius.

virtual void	GetCurve1 (SPtr< const MbSurfaceCurve > &c) const
	Support curve on the first surface. For internal use. Always sets not null.

virtual void	GetCurve2 (SPtr< const MbSurfaceCurve > &c) const
	Support curve on the second surface. For internal use. Always sets not null.

virtual void	SetCurve1 (SPtr< MbSurfaceCurve > &c)
	Get the support curve on the first surface for changing. For internal use. Always sets not null.

virtual void	SetCurve2 (SPtr< MbSurfaceCurve > &c)
	Get the support curve on the second surface for changing. For internal use. Always sets not null.

const MbSurface &	GetSurface1 () const
	Get the first surface.

const MbSurface &	GetSurface2 () const
	Get the second surface.

MbCurve *	CreateBound (bool s) const
	Construct boundary curve along a surface (V = const). More...

MbeCurveBuildType	GetBuildType () const
	Type of support curves. More...

MbeSmoothForm	Form () const
	Form of a surface. More...

virtual bool	InsertPoints (double &t1, const MbCartPoint &p1, bool add1, double &t2, const MbCartPoint &p2, bool add2)
	Add a point to the support curves of the boundary. More...

bool	ProlongSurface (double u, const MbCartPoint &p1, const MbCartPoint &p2, bool anyCase)
	Prolong surface. More...

bool	CurveStraighten (double t1, double t2)
	Correct curves. More...

void	AddProperties (MbProperties &properties)
	Get the object properties.

void	SetPole ()
	Check poles.

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

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...

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

virtual void	PointOn (double &u, double &v, MbCartPoint3D &p) const =0
	Calculate a point on the surface. More...

virtual void	DeriveU (double &u, double &v, MbVector3D &) const =0
	Calculate first derivative with respect to u.

virtual void	DeriveV (double &u, double &v, MbVector3D &) const =0
	Calculate first derivative with respect to v.

virtual void	DeriveUU (double &u, double &v, MbVector3D &) const =0
	Calculate second derivative with respect to u.

virtual void	DeriveVV (double &u, double &v, MbVector3D &) const =0
	Calculate second derivative with respect to v.

virtual void	DeriveUV (double &u, double &v, MbVector3D &) const =0
	Calculate second derivative.

virtual void	DeriveUUU (double &u, double &v, MbVector3D &) const =0
	Calculate third derivative.

virtual void	DeriveUUV (double &u, double &v, MbVector3D &) const =0
	Calculate third derivative.

virtual void	DeriveUVV (double &u, double &v, MbVector3D &) const =0
	Calculate third derivative.

virtual void	DeriveVVV (double &u, double &v, MbVector3D &) const =0
	Calculate third derivative.

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	_PointOn (double u, double v, MbCartPoint3D &p) const
	Calculate a point on the surface. More...

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

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

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

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

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

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

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

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

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

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	Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D uuDer, MbVector3D vvDer, MbVector3D uvDer, MbVector3D nor) const
	Calculate point and derivatives of object for given parameters. More...

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...

virtual double	StepU (double u, double v, double sag) const
	Calculate parameter step. More...

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

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

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

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

virtual double	MetricStepV (double u, double v, double length) const
	Calculate parameter step. 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	CurvatureU (double u, double v) const
	Calculate line curvature along the direction of u. 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 bool	IsPlanar (double accuracy=METRIC_EPSILON) const
	Whether a surface is planar.

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

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

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 MbSplineSurface *	NurbsSurface (double u1, double u2, double v1, double v2, bool bmatch=false) const
	Construct a NURBS copy of trimmed 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 MbSurface *	Offset (double d, bool same) const
	Create an offset surface. More...

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

virtual MbCurve3D *	CurveV (double u, MbRect1D *pRgn, bool bApprox=true) const
	Construct spatial copy of the line u = const. 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 bool	NearPointProjection (const MbCartPoint3D &pnt, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr) const
	Find the projection of a point onto the surface. More...

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

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

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

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

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	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.

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

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

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...

virtual void	GetTesselation (const MbStepData &stepData, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
	Determine a splitting of parametric region of a surface by verticals and horizontals. 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	IsLineU () const
	Check that all derivatives of surface with respect to u which have more than first order are equal to null.

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).

virtual MbeSpaceType	IsA () const =0
	Get the type of the object.

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

virtual MbSpaceItem &	Duplicate (MbRegDuplicate *iReg=nullptr) const =0
	Create a copy of the object. More...

virtual void	Transform (const MbMatrix3D &matr, MbRegTransform *iReg=nullptr)=0
	Convert the object according to the matrix. More...

virtual void	Move (const MbVector3D &to, MbRegTransform *iReg=nullptr)=0
	Move an object along a vector. More...

virtual void	Rotate (const MbAxis3D &axis, double angle, MbRegTransform *iReg=nullptr)=0
	Rotate an object around an axis at a given angle. More...

virtual bool	IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const =0
	Determine whether an object is equal. More...

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

virtual bool	SetEqual (const MbSpaceItem &item)=0
	Make objects equal if they are similar. More...

virtual void	GetProperties (MbProperties &properties)=0
	Outstanding properties of the object. More...

virtual void	SetProperties (const MbProperties &properties)=0
	Change the properties of an object. More...

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

void	CalculateWire (double sag, MbMesh &mesh) const

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

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.

Protected Member Functions
	MbSmoothSurface (MbSurfaceCurve &crv1, MbSurfaceCurve &crv2, MbeSmoothForm fm, double d1, double d2)
	Constructor by two curves and conjugation type. More...

	MbSmoothSurface (MbSurface &surf1, MbCurve &curv1, MbSurface &surf2, MbCurve &curv2, MbeSmoothForm fm, double d1, double d2)
	Constructor by two curves and conjugation type. More...

	MbSmoothSurface (const MbSmoothSurface &, MbRegDuplicate *)
	Copy-constructor.

	MbSmoothSurface (const MbSmoothSurface *)
	Copy constructor with the same support surfaces.

void	CheckParam (double &u, double &v) const
	Correction of parameters.

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
MbSurfaceCurve *	curve1
	Support curve on the first surface (it never equals nullptr).

MbSurfaceCurve *	curve2
	Support curve on the second surface (it never equals nullptr).

MbeSmoothForm	form
	Conjugation type.

double	distance1
	Fillet radius or chamfer "cathetus" with sign for surface of curve1 curve.

double	distance2
	Fillet radius or chamfer "cathetus" with sign for surface of curve2 curve.

double	umin
	Minimal value of parameter u.

double	umax
	Maximal value of parameter u.

double	vmin
	Minimal value of parameter v.

double	vmax
	Maximal value of parameter v.

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

bool	poleUMin
	Existence of a pole at umin.

bool	poleUMax
	Existence of a pole at umax.

bool	poleVMin
	Existence of a pole at vmin.

bool	poleVMax
	Existence of a pole at vmax.

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

Detailed Description

Smooth surface.

A smooth surface connects two curves ('curve1' and 'curve2') on interfacing surfaces. Smooth surface is the parent class of fillet surface (MbFilletSurface) and chamfer surface (MbChamferSurface). In contrast to other surfaces functions PointOn and Derive.. of smooth surface don't correct the first parameter (u) when getting out of domain bounds (umin and umax).

Constructor & Destructor Documentation

◆ MbSmoothSurface() [1/2]

MbSmoothSurface::MbSmoothSurface	(	MbSurfaceCurve &	crv1,
		MbSurfaceCurve &	crv2,
		MbeSmoothForm	fm,
		double	d1,
		double	d2
	)

protected

Constructor by two curves and conjugation type.

Parameters

[in]	crv1	- Support curve on the first surface.
[in]	crv2	- Support curve on the second surface.
[in]	fm	- Conjugation type (0 - fillet, 1 - chamfer)

◆ MbSmoothSurface() [2/2]

MbSmoothSurface::MbSmoothSurface	(	MbSurface &	surf1,
		MbCurve &	curv1,
		MbSurface &	surf2,
		MbCurve &	curv2,
		MbeSmoothForm	fm,
		double	d1,
		double	d2
	)

protected

Constructor by two curves and conjugation type.

Parameters

[in]	surf1	- First surface.
[in]	curv1	- A curve in domain of the first surface
[in]	surf2	- Second surface.
[in]	curv2	- A curve in domain of the second surface
[in]	fm	- Conjugation type (0 - fillet, 1 - chamfer)

Member Function Documentation

◆ Init0()

virtual void MbSmoothSurface::Init0	(	double	tmin,
		double	tmax,
		bool	insertPoints = `true`
	)

pure virtual

Correction of the middle line of fillet surface.

Parameters

[in]	tmin	- New minimal parameter of the middle line.
[in]	tmax	- New maximal parameter of the middle line.
[in]	insertPoints	- Insert control points for middle cerve0.

Implemented in MbFilletSurface, and MbChamferSurface.

◆ IsUClosed()

bool MbSmoothSurface::IsUClosed ( ) const

overridevirtual

Determine whether a surface is closed in u-parameter direction.

Determine whether a surface is closed smoothly in u-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsUPeriodic.

Implements MbSurface.

◆ IsVClosed()

bool MbSmoothSurface::IsVClosed ( ) const

overridevirtual

Determine whether a surface is closed in v-parameter direction.

Determine whether a surface is closed smoothly in v-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsVPeriodic.

Implements MbSurface.

◆ NurbsSurface()

MbSurface* MbSmoothSurface::NurbsSurface	(	const MbNurbsParameters &	uParam,
		const MbNurbsParameters &	vParam
	)		const

overridevirtual

Construct a NURBS copy of a surface.

Constructs a NURBS surface which approximates a given surface with the given parameters in each direction. 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]	uParam	- Parameters of construction in u direction.
[in]	vParam	- Parameters of construction in v direction.

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

Reimplemented from MbSurface.

◆ SurfacesCombine()

virtual bool MbSmoothSurface::SurfacesCombine	(	const MbSurfaceIntersectionCurve &	edge,
		const MbSurface &	init,
		bool	add,
		MbMatrix &	matr,
		const MbSurfaceIntersectionCurve *	seam
	)

virtual

Combine surfaces by inclusion of the surface 'init' into the given surface.

Parameters

[in]	edge	- A curve of the splitting edge.
[in]	init	- A surface which should be added into the given one
[in]	add	- Add to end (true) or add to start (false)
[in]	matr	- A matrix of transformation of objects from 'init' to the given surface,
[in]	seam	- A curve of another splitting edge (possibly it is nullptr)

Reimplemented in MbFilletSurface, and MbChamferSurface.

◆ CreateBound()

MbCurve* MbSmoothSurface::CreateBound ( bool s ) const

Construct boundary curve along a surface (V = const).

Parameters

[in] s - If it equals true then construct along the minimal value of V,
otherwise construct along the maximal value of V

◆ GetBuildType()

MbeCurveBuildType MbSmoothSurface::GetBuildType ( ) const

Type of support curves.

Returns: Cbt_Specific if the curves have been constructed by the separate points
cbt_Ordinary if the curves are analytical

◆ Form()

MbeSmoothForm MbSmoothSurface::Form ( ) const

inline

Form of a surface.

Returns: 0 in a case of fillet
1 in a case of chamfer

◆ InsertPoints()

virtual bool MbSmoothSurface::InsertPoints	(	double &	t1,
		const MbCartPoint &	p1,
		bool	add1,
		double &	t2,
		const MbCartPoint &	p2,
		bool	add2
	)

virtual

Add a point to the support curves of the boundary.

Add a point to the support curves of the boundary.
A point will be added into a curve if it has a type pt_LineSegment, pt_CubicSpline or pt_Hermit.

Parameters

[out]	t1	- Parameter of a point on the first curve (if add1 equals true)
[in]	p1	- Point on the first curve
[in]	add1	- Whether to add a point to the first curve
[out]	t2	- Parameter of a point on the second curve (if add2 equals true)
[in]	p2	- Point on the second curve
[in]	add2	- Whether to add a point to the second curve

Reimplemented in MbChannelSurface.

◆ ProlongSurface()

bool MbSmoothSurface::ProlongSurface	(	double	u,
		const MbCartPoint &	p1,
		const MbCartPoint &	p2,
		bool	anyCase
	)

Prolong surface.

Build and add points to the support curves of the boundary.
A points will be builded and added into curves if they have a type pt_Hermit.

Parameters

[in]	t	- First parameter of surface
[in]	p1	- Point on the first curve
[in]	p2	- Point on the second curve
[in]	anyCase	- Regular work with the value false (true exception).

◆ CurveStraighten()

bool MbSmoothSurface::CurveStraighten	(	double	t1,
		double	t2
	)

Correct curves.

Correct the support curves after inserting of the points.
A curve will be corrected if the surface has a pole on the boundary, a support curve has the type pt_Hermit and contains the support point with the given parameter. The curve support point which is the nearest to the point with the given parameter from the side of the surface pole is corrected.

Parameters

[in]	t1	- Parameter of a point on the first support curve.
[in]	t2	- Parameter of a point on the second support curve.

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

surf_smooth_surface.h

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ MbSmoothSurface() [1/2]

◆ MbSmoothSurface() [2/2]

Member Function Documentation

◆ Init0()

◆ IsUClosed()

◆ IsVClosed()

◆ NurbsSurface()

◆ SurfacesCombine()

◆ CreateBound()

◆ GetBuildType()

◆ Form()

◆ InsertPoints()

◆ ProlongSurface()

◆ CurveStraighten()