C3D Toolkit  Kernel - 117982, Vision - 2.9.2.2

Lofted surface passing through given family of curves. More...

#include <surf_lofted_surface.h>

+ Inheritance diagram for MbLoftedSurface:
+ Collaboration diagram for MbLoftedSurface:

Classes

class  MbLoftedSurfaceAuxiliaryData
 Auxiliary data. More...
 

Public Member Functions

 MbLoftedSurface (const RPArray< MbCurve3D > &initCurves, bool vc, const MbVector3D &v1, const MbVector3D &v2, bool same, VERSION version=Math::DefaultMathVersion())
 Constructor of surface. More...
 
 MbLoftedSurface (const RPArray< MbCurve3D > &initCurves, const SArray< double > &initParams, bool vc, const MbVector3D &v1, const MbVector3D &v2, bool setNormal1, bool setNormal2, double derFactor1, double derFactor2, const MbVector3D &directSurf1, const MbVector3D &directSurf2, bool same, VERSION version=Math::DefaultMathVersion())
 Constructor of surface. More...
 
Common functions of a geometric object
MbeSpaceType IsA () const override
 Get the type of the object.
 
MbeSpaceType Type () const override
 Get the group object type.
 
MbSpaceItemDuplicate (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 Refresh () override
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
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 > &s) 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 surface domain description
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...
 
double GetUPeriod () const override
 Return period for smoothly closed surface or 0.
 
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.
 
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 for working at surface domain

Functions PointOn, Derive... of surfaces correct parameters when they are out of bounds of rectangular domain of parameters.

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's domain

functions _PointOn, _Derive... of surfaces don't correct parameters when they are out of bounds of rectangular domain of parameters.

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 along the 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 sag) const override
 Calculate parameter step. More...
 
double DeviationStepV (double u, double v, double sag) const override
 Calculate parameter step. More...
 
Common functions of surface
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...
 
void CalculateGabarit (MbCube &) const override
 Calculate bounding box of surface. It is recommended to use GetGabarit.
 
bool IsSpecialSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
 Whether the surfaces are similar to merge. Special case. For internal use only.
 
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 GetCylinderAxis (MbAxis3D &axis) const override
 Get rotation axis of a surface.
 
MbSplineSurfaceNurbsSurface (double, double, double, double, bool bmatch=false) const override
 Construct a NURBS copy of trimmed surface. More...
 
MbSurfaceOffset (double d, bool same) const override
 Create an offset surface. More...
 
MbCurve3DCurveU (double v, MbRect1D *pRgn, bool bApprox=true) const override
 Construct spatial copy of the line v = const. More...
 
MbCurve3DCurveV (double u, MbRect1D *pRgn, bool bApprox=true) const override
 Construct spatial copy of the line u = const.
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.
 
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...
 
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...
 
void DirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=nullptr) const override
 Find all a point projection onto the surface along a vector in either of two directions. More...
 
bool IsLineU () const override
 Check that all derivatives of surface with respect to u which have more than first order are equal to null.
 
bool IsLineV () const override
 Check that all derivatives of surface with respect to v which have more than first order are equal to null.
 
void CheckSurfParams (double &u, double &v) const override
 Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. More...
 
ptrdiff_t CurvesCount () const
 Get count of curves which the surface is constructed by.
 
const MbCurve3DGetCurve (ptrdiff_t ind) const
 Get curve by an index. More...
 
MbCurve3DSetCurve (ptrdiff_t ind)
 Get curve for editing by an index. More...
 
double GetParam (ptrdiff_t ind) const
 Get parameter by an index. More...
 
void GetParams (SArray< double > &params) const
 Fill an array by parameters. More...
 
void GetLabels (SArray< ptrdiff_t > &labels) const
 Fill array of attributes of similar curves. More...
 
const MbVector3DGetDerive1 () const
 The direction of derivative at the beginning of the open surface. If it isn't set, then its length is zero. More...
 
const MbVector3DGetDerive2 () const
 
bool IsEqualLabels () const
 Determine whether there are similar curves.

 
bool IsEqualLabels (ptrdiff_t ind) const
 Determine whether there are curves similar to curve with 'ind' index. More...
 
bool IsPossibleCreateThin (double h, double uLimBeg, double uLimEnd, double vLimBeg, double vLimEnd) const
 Determine whether it is possible to create an offset surface. More...
 
bool AgreeLabels (MbLoftedSurface &surf)
 Match arrays of attributes of similarity of curves between adjacent surfaces. More...
 
bool IsSetNormal (bool atStart)
 Is the normal set at the end. More...
 
- 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...
 
MbPropertyCreateProperty (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 MbSurfaceoperator[] (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 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...
 
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 MbSurfaceGetSurface () const
 Get itself (it is overloaded only in CurveBoundedSurface).
 
virtual const MbSurfaceGetBasisSurface () const
 Get the base surface if exists or itself.
 
virtual MbSurfaceSetSurface ()
 Get itself (it is overloaded only in CurveBoundedSurface).
 
virtual MbSurfaceSetBasisSurface ()
 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 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 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 bool ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr)
 Changing of carrier elements. More...
 
virtual bool IsSpinePeriodic () const
 Periodicity of the guide. More...
 
MbSplineSurfaceNurbsSurface (bool bmatch=false) const
 Construct a NURBS copy of a surface. More...
 
virtual MbSurfaceNurbsSurface (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 MbCurve3DCurveUV (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 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 IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const
 Define whether the surfaces are similar for merge. More...
 
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...
 
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...
 
void CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
 Calculate bounding box in the local coordinate system.
 
const MbCubeGetGabarit () const
 Calculate bounding box of surface.
 
const MbCubeCube () 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 MbContourMakeContour (bool sense) const
 Return the bounding two-dimensional contour. More...
 
virtual MbCurveMakeSegment (size_t i, bool sense) const
 Return a segment of the bounding two-dimensional contour. More...
 
MbCurveMakeCurve (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 IsShift (const MbSpaceItem &obj, MbVector3D &dir, bool &isSame, double accuracy=LENGTH_EPSILON) const
 Determine whether the object is a translation. 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.
 
CommonRecursiveMutexGetLock () const
 Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.
 

Protected Member Functions

 MbLoftedSurface (const RPArray< MbCurve3D > &initCurves, bool same, VERSION version=Math::DefaultMathVersion())
 Constructor of surface. More...
 
 MbLoftedSurface (const SArray< double > &initParams, const RPArray< MbCurve3D > &initCurves, bool same, VERSION version=Math::DefaultMathVersion())
 Constructor of surface. More...
 
 MbLoftedSurface (const MbLoftedSurface &, MbRegDuplicate *reg)
 Copy constructor.
 
void LocalCoordinate (double &v, ptrdiff_t &j1, ptrdiff_t &j2, double &y1, double &y2, double &t1, double &t2) const
 Determination of local coordinates of a surface region. More...
 
void CalculateCurve (ptrdiff_t i, double u, MbVector3D &point, bool ext, size_t numb) const
 Determination of the array of curve vectors. More...
 
void CalculateSurface (double &u, ptrdiff_t j1, ptrdiff_t j2, double t1, double t2, bool ext, size_t numb, MbVector3D &point1, MbVector3D &point2, MbVector3D &vector1, MbVector3D &vector2, bool correctVectors=true) const
 Determination of array of vectors of u parameter for point on surface with coordinates (u, v). More...
 
bool CheckPoles (MbLoftedSurfaceAuxiliaryData *) const
 Check poles on curves. More...
 
- 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

RPArray< MbCurve3DuCurves
 Set of curves of family.
 
SArray< double > vParams
 Set of parameters v for curves.
 
SArray< ptrdiff_t > vLabels
 Set of attributes of similar curves.
 
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
 Attribute of closedness by parameter u.
 
bool vclosed
 Attribute of closedness by parameter v.
 
MbLoftedBorder border1
 The adjacency conditions of the surface to the starting curve of family.
 
MbLoftedBorder border2
 The adjacency conditions of the surface to the ending curve of family.
 
VERSION surfaceVersion
 Version of coefficient calculation of surface equation.
 
- Protected Attributes inherited from MbSurface
MbCube cube
 Bounding box of surface. More...
 

Detailed Description

Lofted surface passing through given family of curves.

The surface passing through given family of curves is constructed similar to MbHermit3D Hermite spline passing through given family of points. First parameter of surface is proportional to parameters of curves of family. Along the second parameter the surface changes under the law of MbHermit3D Hermite spline, which points are points of curves of family. Derivatives by second parameter at points of curves are calculated as derivatives of parabola constructed by three points and values of parameters at this points. On each region between two neighboring curves of family the surface is described by the cubic polynomial with given points and derivatives at the edges. If the first or last curves of the family are represented by points, then it is possible to define the derivative at the edges with the orthogonal direction relative to the normal of the XoY plane in the local coordinate system of the initial or final edges. The value of the derivative depends on the distance between the point curve and the one closest to it. In order to change the value of the derivative, non-negative factor are introduced by default equal to 1.0. Surface passes through curves of family for parameter values from vParams set.

Constructor & Destructor Documentation

◆ MbLoftedSurface() [1/4]

MbLoftedSurface::MbLoftedSurface ( const RPArray< MbCurve3D > &  initCurves,
bool  vc,
const MbVector3D v1,
const MbVector3D v2,
bool  same,
VERSION  version = Math::DefaultMathVersion() 
)

Constructor of surface.

Constructor of surface by array of profile curves, guide vectors and closedness by v.

Parameters
[in]initCurves- Set of driving curves.
[in]vc- Surface closedness by v.
[in]v1- Guide vector.
[in]v2- Guide vector.
[in]same- Determines whether to copy profile curves: true - use obtained curves without copying, false - use copies.
[in]version- Version, last by default.

◆ MbLoftedSurface() [2/4]

MbLoftedSurface::MbLoftedSurface ( const RPArray< MbCurve3D > &  initCurves,
const SArray< double > &  initParams,
bool  vc,
const MbVector3D v1,
const MbVector3D v2,
bool  setNormal1,
bool  setNormal2,
double  derFactor1,
double  derFactor2,
const MbVector3D directSurf1,
const MbVector3D directSurf2,
bool  same,
VERSION  version = Math::DefaultMathVersion() 
)

Constructor of surface.

Constructor of surface by array of profile curves, array of parameters, guide vectors and closedness by v.

Parameters
[in]initCurves- Set of driving curves.
[in]initParams- Set of parameters corresponding to driving curves.
[in]vc- Surface closedness by v.
[in]v1- Guide vector.
[in]v2- Guide vector.
[in]setNormal1- Set the surface normal at the beginning orthogonal to the XoY plane in the local coordinate system of the first family curve, if it is point curve.
[in]setNormal2- Set the surface normal at the end orthogonal to the XoY plane in the local coordinate system of the last family curve, if it is point curve.
[in]derFactor1- The derivative length factor at the beginning, if the first family curve is point curve. The default is 1.0.
[in]derFactor2- The derivative length factor at the end, if the last family curve is point curve. The default is 1.0.
[in]directSurf1- Direction axis of the surface progress in the initial section when setting the normal. By default, it connects the centers of the end curve and the nearest curve.
[in]directSurf2- Direction axis of the surface progress in the final section when setting the normal. By default, it connects the centers of the end curve and the nearest curve.
[in]same- Determines whether to copy profile curves: true - use obtained curves without copying, false - use copies.
[in]version- Version, last by default.

◆ MbLoftedSurface() [3/4]

MbLoftedSurface::MbLoftedSurface ( const RPArray< MbCurve3D > &  initCurves,
bool  same,
VERSION  version = Math::DefaultMathVersion() 
)
protected

Constructor of surface.

Constructor of surface by family of profile curves.

Parameters
[in]initCurves- Set of driving curves.
[in]same- Determines whether to copy profile curves: true - use obtained curves without copying, false - use copies.
[in]version- Version, last by default.

◆ MbLoftedSurface() [4/4]

MbLoftedSurface::MbLoftedSurface ( const SArray< double > &  initParams,
const RPArray< MbCurve3D > &  initCurves,
bool  same,
VERSION  version = Math::DefaultMathVersion() 
)
protected

Constructor of surface.

Constructor of surface by array of profile curves and array of parameters.

Parameters
[in]initParams- Set of parameters corresponding to driving curves.
[in]initCurves- Set of driving curves.
[in]same- Determines whether to copy profile curves: true - use obtained curves without copying, false - use copies.
[in]version- Version, last by default.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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.

◆ IsUClosed()

bool MbLoftedSurface::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 MbLoftedSurface::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.

◆ PointOn()

void MbLoftedSurface::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 MbLoftedSurface::_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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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 MbLoftedSurface::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.

◆ ChangeCarrier()

void MbLoftedSurface::ChangeCarrier ( const MbSpaceItem item,
MbSpaceItem init 
)
overridevirtual

Changing of carrier.

It is used for union of coplanar faces.

Reimplemented from MbSurface.

◆ NurbsSurface()

MbSplineSurface* MbLoftedSurface::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* MbLoftedSurface::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* MbLoftedSurface::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* MbLoftedSurface::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.

◆ GetTesselation()

void MbLoftedSurface::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.

◆ NearPointProjection()

bool MbLoftedSurface::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.

◆ DirectPointProjection()

void MbLoftedSurface::DirectPointProjection ( const MbCartPoint3D pnt,
const MbVector3D vect,
SArray< MbCartPoint > &  uv,
bool  ext,
MbRect2D uvRange = nullptr 
) const
overridevirtual

Find all a point projection onto the surface along a vector in either of two directions.

Calculate all points of intersection with the ray outgoing from the given point 'p' by the direction 'vect'. 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.

Parameters
[in]pnt- A given point.
[in]vect- A direction vector.
[out]uv- A set of projection points in the area of surface definition.
[in]ext- A flag defining whether to seek projection on the extension of the surface.
[in]uvRange- A range of surface parameters changing in which the solution should be found.

Reimplemented from MbSurface.

◆ CheckSurfParams()

void MbLoftedSurface::CheckSurfParams ( double &  u,
double &  v 
) const
overridevirtual

Check parameters. Analogue of the global function _CheckParams, optimized for caches usage.

Check parameters and move them inside domain if parameter is out of pole.

Parameters
[in]surface- Surface.
[in]u- First parameter.
[in]v- Second parameter.

Reimplemented from MbSurface.

◆ GetCurve()

const MbCurve3D* MbLoftedSurface::GetCurve ( ptrdiff_t  ind) const
inline

Get curve by an index.

Get curve by an index.

Parameters
[in]ind- Index of curve in uCurves array of curves.
Returns
The constant curve.

◆ SetCurve()

MbCurve3D* MbLoftedSurface::SetCurve ( ptrdiff_t  ind)
inline

Get curve for editing by an index.

Get curve for editing by an index.

Parameters
[in]ind- Index of curve in uCurves array of curves.
Returns
A curve.

◆ GetParam()

double MbLoftedSurface::GetParam ( ptrdiff_t  ind) const
inline

Get parameter by an index.

Get parameter by an index.

Parameters
[in]ind- Index of parameter in vParams array of parameters.
Returns
A parameter value.

◆ GetParams()

void MbLoftedSurface::GetParams ( SArray< double > &  params) const
inline

Fill an array by parameters.

Fill an array by parameters.

Parameters
[in,out]params- A set to fill by parameters.

◆ GetLabels()

void MbLoftedSurface::GetLabels ( SArray< ptrdiff_t > &  labels) const
inline

Fill array of attributes of similar curves.

Fill array of attributes of similar curves.

Parameters
[in,out]labels- A set to fill.

◆ GetDerive1()

const MbVector3D& MbLoftedSurface::GetDerive1 ( ) const
inline

The direction of derivative at the beginning of the open surface. If it isn't set, then its length is zero.

The direction of derivative at the end of the open surface. If it isn't set, then its length is zero.

◆ IsEqualLabels()

bool MbLoftedSurface::IsEqualLabels ( ptrdiff_t  ind) const

Determine whether there are curves similar to curve with 'ind' index.

Determine whether there are curves similar to curve with 'ind' index.

Parameters
[in]ind- An index of curve for comparison.
Returns
True - If there are curves similar to curve with 'ind' index in array.

◆ IsPossibleCreateThin()

bool MbLoftedSurface::IsPossibleCreateThin ( double  h,
double  uLimBeg,
double  uLimEnd,
double  vLimBeg,
double  vLimEnd 
) const

Determine whether it is possible to create an offset surface.

Determine whether it is possible to create an offset surface.

Parameters
[in]h- The offset distance.
[in]uLimBeg- Lower bound of region by u which offset surface is necessary to construct to.
[in]uLimEnd- Upper bound of region by u which offset surface is necessary to construct to.
[in]vLimBeg- Lower bound of region by v which offset surface is necessary to construct to.
[in]vLimEnd- Upper bound of region by v which offset surface is necessary to construct to.
Returns
True - If it is possible to create an offset surface.

◆ AgreeLabels()

bool MbLoftedSurface::AgreeLabels ( MbLoftedSurface surf)

Match arrays of attributes of similarity of curves between adjacent surfaces.

Match arrays of attributes of similarity of curves between adjacent surfaces.

Parameters
[in]surf- Adjacent surface.
Returns
True - If there are changes in array of attributes of curves of at least one surface.

◆ IsSetNormal()

bool MbLoftedSurface::IsSetNormal ( bool  atStart)
inline

Is the normal set at the end.

Is the normal set at the end.

Parameters
[in]atStart- Check at the beginning otherwise at the end.
Returns
True - The Normal installed.

◆ LocalCoordinate()

void MbLoftedSurface::LocalCoordinate ( double &  v,
ptrdiff_t &  j1,
ptrdiff_t &  j2,
double &  y1,
double &  y2,
double &  t1,
double &  t2 
) const
inlineprotected

Determination of local coordinates of a surface region.

Determination of local coordinates of a surface region.

Parameters
[in]v- V coordinate on the surface.
[in,out]j1- Index of nearest curve with parameter less than v.
[in,out]j2- Index of nearest curve with parameter greater than v.
[in,out]y1- Parametric distance from point with v coordinate to j1 curve provided that distance between j1 and j2 curves is equal to 1.
[in,out]y2- Parametric distance from point with v coordinate to j2 curve provided that distance between j1 and j2 curves is equal to 1.
[in,out]t1- Value of parameter for j1 curve.
[in,out]t2- Value of parameter for j2 curve.

◆ CalculateCurve()

void MbLoftedSurface::CalculateCurve ( ptrdiff_t  i,
double  u,
MbVector3D point,
bool  ext,
size_t  numb 
) const
protected

Determination of the array of curve vectors.

Determination of the array of curve vectors.

Parameters
[in]i- Index of curve.
[in]u- U coordinate on the surface.
[in]der- Reference to array of vectors to store calculated point and derivatives.
[in]ext- Whether it is possible to extend curve out of its parametric domain bounds.

◆ CalculateSurface()

void MbLoftedSurface::CalculateSurface ( double &  u,
ptrdiff_t  j1,
ptrdiff_t  j2,
double  t1,
double  t2,
bool  ext,
size_t  numb,
MbVector3D point1,
MbVector3D point2,
MbVector3D vector1,
MbVector3D vector2,
bool  correctVectors = true 
) const
protected

Determination of array of vectors of u parameter for point on surface with coordinates (u, v).

Determination of array of vectors of u parameter for point on surface with coordinates (u, v).

Parameters
[in]u- U coordinate on the surface.
[in]j1- Index of nearest curve with parameter less than v.
[in]j2- Index of nearest curve with parameter greater than v.
[in]t1- Value of parameter for j1 curve.
[in]t2- Value of parameter for j2 curve.
[in]ext- Whether it is possible to extend surface out of its parametric domain bounds.

◆ CheckPoles()

bool MbLoftedSurface::CheckPoles ( MbLoftedSurfaceAuxiliaryData ) const
protected

Check poles on curves.

Determines whether the pole at domain boundary by curve length determining boundary.
Result of calculations can be obtained with help of GetPoleUMin, GetPoleUMax, GetPoleVMin, GetPoleVMax functions.


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