Rhino C++ API  7.18
Public Member Functions | Static Public Member Functions | Public Attributes | List of all members
ON_NurbsSurface Class Reference

#include <opennurbs_nurbssurface.h>

Inheritance diagram for ON_NurbsSurface:
ON_Surface ON_Geometry ON_Object

Public Member Functions

 ON_NurbsSurface ()
 
 ON_NurbsSurface (const ON_BezierSurface &bezier_surface)
 
 ON_NurbsSurface (const ON_NurbsSurface &nurbs_surface)
 
 ON_NurbsSurface (int dimension, bool bIsRational, int order0, int order1, int cv_count0, int cv_count1)
 
virtual ~ON_NurbsSurface ()
 
bool ChangeDimension (int desired_dimension)
 
bool ChangeSurfaceSeam (int dir, double t)
 
bool ClampEnd (int dir, int end)
 
bool CollapseSide (int side, ON_3dPoint point=ON_3dPoint::UnsetPoint)
 
const ON_4dPoint ControlPoint (int i, int j) const
 
double ControlPolygonLength (int dir) const
 Interface. More...
 
bool ConvertSpanToBezier (int span_index0, int span_index1, ON_BezierSurface &bezier_surface) const
 
bool Create (int dim, bool is_rat, int order0, int order1, int cv_count0, int cv_count1)
 
int CreateConeSurface (ON_3dPoint apex_point, const ON_Curve &curve, const ON_Interval *curve_domain=nullptr)
 
ON_MeshCreateMesh (const ON_MeshParameters &mp, ON_Mesh *mesh=nullptr) const override
 ON_Surface overrides. More...
 
virtual int CreateRuledSurface (const ON_Curve &curveA, const ON_Curve &curveB, const ON_Interval *curveA_domain=nullptr, const ON_Interval *curveB_domain=nullptr)
 
double * CV (int i, int j) const
 
double * CV (ON_2dex cvdex) const
 
double * CV (ON_2udex cvdex) const
 
int CVCount (int) const
 
int CVCount (void) const
 
int CVSize (void) const
 
ON::point_style CVStyle () const
 
ON__UINT32 DataCRC (ON__UINT32 current_remainder) const override
 virtual ON_Object::DataCRC override More...
 
int Degree (int) const override
 
void Destroy ()
 
int Dimension () const override
 ON_Geometry overrides. More...
 
ON_Interval Domain (int) const override
 
void Dump (ON_TextLog &) const override
 for debugging More...
 
void EmergencyDestroy ()
 call if memory used by this class becomes invalid More...
 
bool Evaluate (double, double, int, int, double *, int=0, int *=0) const override
 work horse evaluator More...
 
bool Extend (int dir, const ON_Interval &domain) override
 
bool GetBBox (double *boxmin, double *boxmax, bool bGrowBox=false) const override
 virtual ON_Geometry GetBBox override
More...
 
double GetCubicBezierApproximation (double max_deviation, class ON_BezierSurface &bezierSurface) const
 
double GetCubicBezierApproximation (double max_deviation, ON_3dPoint bezCV[4][4]) const
 
bool GetCV (int i, int j, ON::point_style, double *cv) const
 
bool GetCV (int i, int j, ON_3dPoint &cv) const
 
bool GetCV (int i, int j, ON_4dPoint &cv) const
 
bool GetGrevilleAbcissae (int dir, double *g) const
 
bool GetNextDiscontinuity (int dir, ON::continuity c, double t0, double t1, double *t, int *hint=nullptr, int *dtype=nullptr, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const override
 
int GetNurbForm (ON_NurbsSurface &, double=0.0) const override
 
bool GetParameterTolerance (int, double, double *, double *) const override
 
bool GetSpanVector (int, double *) const override
 
bool GetSurfaceSize (double *width, double *height) const override
 
double GrevilleAbcissa (int dir, int cv_index) const
 
int HasNurbForm () const override
 
bool IncreaseDegree (int dir, int desired_degree)
 
void Initialize (void)
 zeros all fields More...
 
bool InsertKnot (int dir, double knot_value, int knot_multiplicity=1)
 
bool IsClamped (int dir, int end=2) const
 
bool IsClosed (int) const override
 
bool IsContinuous (ON::continuity c, double s, double t, int *hint=nullptr, double point_tolerance=ON_ZERO_TOLERANCE, double d1_tolerance=ON_ZERO_TOLERANCE, double d2_tolerance=ON_ZERO_TOLERANCE, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const override
 
bool IsDeformable () const override
 virtual ON_Geometry::IsDeformable() override More...
 
bool IsDuplicate (const ON_NurbsSurface &other, bool bIgnoreParameterization, double tolerance=ON_ZERO_TOLERANCE) const
 
bool IsMorphable () const override
 virtual ON_Geometry override More...
 
bool IsNatural (int dir, int end=2) const
 
bool IsNatural (int dir, size_t t_count, const double *t) const
 
ON_CurveIsoCurve (int dir, double c) const override
 
bool IsPeriodic (int) const override
 periodic.) More...
 
bool IsPlanar (ON_Plane *plane=nullptr, double tolerance=ON_ZERO_TOLERANCE) const override
 
bool IsRational (void) const
 
bool IsSingular (int) const override
 
bool IsValid (class ON_TextLog *text_log=nullptr) const override
 ON_Object overrides. More...
 
const double * Knot (int dir) const
 
double Knot (int dir, int knot_index) const
 
int KnotCount (int dir) const
 
int KnotMultiplicity (int dir, int knot_index) const
 
bool MakeClampedUniformKnotVector (int dir, double delta=1.0)
 
bool MakeDeformable () override
 virtual ON_Geometry::MakeDeformable() override More...
 
bool MakeNonRational ()
 
bool MakePeriodicUniformKnotVector (int dir, double delta=1.0)
 
bool MakeRational ()
 
bool Morph (const ON_SpaceMorph &morph) override
 virtual ON_Geometry override More...
 
ON_SurfaceOffset (double offset_distance, double tolerance, double *max_deviation=nullptr) const
 
ON_NurbsSurfaceoperator= (const ON_BezierSurface &bezier_surface)
 
ON_NurbsSurfaceoperator= (const ON_NurbsSurface &)
 
int Order (int) const
 
bool Read (ON_BinaryArchive &) override
 
bool RemoveKnots (int dir, int i0, int i1)
 
bool ReserveCVCapacity (int cv_array_capacity)
 
bool ReserveKnotCapacity (int dir, int knot_array_capacity)
 Tools for managing CV and knot memory. More...
 
bool Reverse (int) override
 
bool SetClampedGrevilleKnotVector (int dir, int g_stride, const double *g)
 
bool SetCV (int i, int j, const ON_3dPoint &cv)
 
bool SetCV (int i, int j, const ON_4dPoint &cv)
 
bool SetCV (int i, int j, ON::point_style, const double *cv)
 
bool SetCVColumn (int col_index, const ON_3dPoint &cv)
 
bool SetCVColumn (int col_index, int v_stride, const double *v)
 
bool SetCVRow (int row_index, const ON_3dPoint &cv)
 
bool SetCVRow (int row_index, int v_stride, const double *v)
 
bool SetDomain (int dir, double t0, double t1) override
 
bool SetKnot (int dir, int knot_index, double knot_value)
 
bool SetPeriodicGrevilleKnotVector (int dir, int g_stride, const double *g)
 
bool SetWeight (int i, int j, double weight)
 
unsigned int SizeOf () const override
 virtual ON_Object::SizeOf override More...
 
int SpanCount (int) const override
 number of smooth spans in curve More...
 
bool Split (int dir, double c, ON_Surface *&west_or_south_side, ON_Surface *&east_or_north_side) const override
 
double SuperfluousKnot (int dir, int end) const
 
bool SwapCoordinates (int, int) override
 
bool TensorProduct (const ON_NurbsCurve &, const ON_NurbsCurve &, ON_TensorProduct &)
 Creates a tensor product nurbs surface with srf(s,t) = T(A(s),B(t));. More...
 
bool Transform (const ON_Xform &) override
 
bool Transpose () override
 transpose surface parameterization (swap "s" and "t") More...
 
bool Trim (int dir, const ON_Interval &domain) override
 
double Weight (int i, int j) const
 
bool Write (ON_BinaryArchive &) const override
 
bool ZeroCVs ()
 zeros all CVs (any weights set to 1); More...
 
- Public Member Functions inherited from ON_Surface
 ON_Surface ()
 
 ON_Surface (const ON_Surface &)
 
virtual ~ON_Surface ()
 
bool AreaMassProperties (class ON_MassProperties &mp, bool bArea=true, bool bFirstMoments=true, bool bSecondMoments=true, bool bProductMoments=true, double rel_tol=1.0e-6, double abs_tol=1.0e-6) const
 
ON_BrepBrepForm (ON_Brep *brep=nullptr) const override
 
virtual ON_SurfaceTreeCreateSurfaceTree () const
 
void DestroyRuntimeCache (bool bDelete=true) override
 virtual ON_Object::DestroyRuntimeCache override More...
 
void DestroySurfaceTree ()
 
virtual ON_SurfaceDuplicateSurface () const
 
bool Ev1Der (double u, double v, ON_3dPoint &point, ON_3dVector &du, ON_3dVector &dv, int quadrant=0, int *hint=0) const
 
bool Ev2Der (double u, double v, ON_3dPoint &point, ON_3dVector &du, ON_3dVector &dv, ON_3dVector &duu, ON_3dVector &duv, ON_3dVector &dvv, int quadrant=0, int *hint=0) const
 
bool EvaluatePoint (const class ON_ObjRef &objref, ON_3dPoint &P) const override
 virtual ON_Geometry override More...
 
bool EvNormal (double u, double v, ON_3dPoint &point, ON_3dVector &du, ON_3dVector &dv, ON_3dVector &normal, int=0, int *=0) const
 
bool EvNormal (double u, double v, ON_3dPoint &point, ON_3dVector &normal, int quadrant=0, int *hint=0) const
 
bool EvNormal (double u, double v, ON_3dVector &normal, int quadrant=0, int *hint=0) const
 
bool EvPoint (double u, double v, ON_3dPoint &point, int quadrant=0, int *hint=0) const
 
bool FrameAt (double u, double v, ON_Plane &frame) const
 
virtual bool GetClosestPoint (const ON_3dPoint &P, double *s, double *t, double maximum_distance=0.0, const ON_Interval *sdomain=0, const ON_Interval *tdomain=0) const
 
bool GetDomain (int dir, double *t0, double *t1) const
 
int GetIsoPushupDirection (const ON_Curve &curve_2d, double tolerance, const ON_Interval *curve_2d_subdomain, double *c, ON_Interval *c3_dom) const
 
virtual bool GetLocalClosestPoint (const ON_3dPoint &, double, double, double *, double *, const ON_Interval *=nullptr, const ON_Interval *=nullptr) const
 
virtual bool GetNurbFormParameterFromSurfaceParameter (double surface_s, double surface_t, double *nurbs_s, double *nurbs_t) const
 
bool GetSilhouette (const ON_Interval *udom, const ON_Interval *vdom, const ON_SilhouetteParameters parameters, const ON_PlaneEquation *clipping_planes, size_t clipping_plane_count, ON_ClassArray< ON_SIL_EVENT > &silhouettes, ON_ProgressReporter *progress, ON_Terminator *terminator) const
 
virtual bool GetSpanVectorIndex (int dir, double t, int side, int *span_vector_index, ON_Interval *span_interval) const
 
ON_CurveGetSurfaceParameterFromNurbFormParameter (const ON_Curve &curve3d, const ON_Curve &ns_curve2dX, double fit_tolerance) const
 
virtual bool GetSurfaceParameterFromNurbFormParameter (double nurbs_s, double nurbs_t, double *surface_s, double *surface_t) const
 
bool HasBrepForm () const override
 
int IntersectPlane (ON_PlaneEquation plane_equation, ON_ClassArray< ON_SSX_EVENT > &x, double intersection_tolerance=0.0, double overlap_tolerance=0.0, double fitting_tolerance=0.0, const ON_Interval *surface_udomain=0, const ON_Interval *surface_vdomain=0) const
 
int IntersectSurface (const ON_Surface *surfaceB, ON_ClassArray< ON_SSX_EVENT > &x, double intersection_tolerance=0.0, double overlap_tolerance=0.0, double fitting_tolerance=0.0, const ON_Interval *surfaceA_udomain=0, const ON_Interval *surfaceA_vdomain=0, const ON_Interval *surfaceB_udomain=0, const ON_Interval *surfaceB_vdomain=0) const
 
int IsAtSeam (double s, double t) const
 
bool IsAtSingularity (double s, double t, bool bExact=true) const
 
bool IsCone (ON_Cone *cone=nullptr, double tolerance=ON_ZERO_TOLERANCE) const
 
bool IsCylinder (ON_Cylinder *cylinder=nullptr, double tolerance=ON_ZERO_TOLERANCE) const
 
virtual ISO IsIsoparametric (const ON_BoundingBox &bbox) const
 
virtual ISO IsIsoparametric (const ON_Curve &curve, const ON_Interval *curve_domain=nullptr) const
 
bool IsSolid () const
 
bool IsSphere (ON_Sphere *sphere=nullptr, double tolerance=ON_ZERO_TOLERANCE) const
 
bool IsTorus (ON_Torus *torus=nullptr, double tolerance=ON_ZERO_TOLERANCE) const
 
ON_3dVector NormalAt (double, double) const
 
ON_NurbsSurfaceNurbsSurface (ON_NurbsSurface *pNurbsSurface=nullptr, double tolerance=0.0, const ON_Interval *s_subdomain=nullptr, const ON_Interval *t_subdomain=nullptr) const
 
ON::object_type ObjectType () const override
 override ON_Object::ObjectType() - returns ON::surface_object More...
 
ON_Surfaceoperator= (const ON_Surface &)
 
ON_3dPoint PointAt (double, double) const
 simple evaluation interface - no error handling More...
 
virtual ON_CurvePullback (const ON_Curve &curve_3d, double tolerance, const ON_Interval *curve_3d_subdomain=nullptr, ON_3dPoint start_uv=ON_3dPoint::UnsetPoint, ON_3dPoint end_uv=ON_3dPoint::UnsetPoint, ON_FitResult *rc=0) const
 
virtual ON_CurvePushup (const ON_Curve &curve_2d, double tolerance, const ON_Interval *curve_2d_subdomain=nullptr, ON_FitResult *rc=0) const
 
bool SetDomain (int dir, ON_Interval domain)
 
unsigned int SizeOf () const override
 virtual ON_Object::SizeOf override More...
 
const ON_SurfaceTreeSurfaceTree () const
 
bool VolumeMassProperties (class ON_MassProperties &mp, bool bVolume=true, bool bFirstMoments=true, bool bSecondMoments=true, bool bProductMoments=true, ON_3dPoint base_point=ON_3dPoint::UnsetPoint, double rel_tol=1.0e-6, double abs_tol=1.0e-6) const
 
- Public Member Functions inherited from ON_Geometry
 ON_Geometry ()=default
 
 ON_Geometry (const ON_Geometry &)=default
 
 ~ON_Geometry ()=default
 
ON_BoundingBox BoundingBox () const
 
virtual void ClearBoundingBox ()
 
virtual ON_COMPONENT_INDEX ComponentIndex () const
 
bool GetBoundingBox (ON_3dPoint &bbox_min, ON_3dPoint &bbox_max, bool bGrowBox=false) const
 
bool GetBoundingBox (ON_BoundingBox &bbox, bool bGrowBox=false) const
 
virtual bool GetTightBoundingBox (class ON_BoundingBox &tight_bbox, bool bGrowBox=false, const class ON_Xform *xform=nullptr) const
 
virtual bool Morph (const class ON_SpaceMorph &morph)
 
ON_Geometryoperator= (const ON_Geometry &)=default
 
bool Rotate (double rotation_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
 
bool Rotate (double sin_angle, double cos_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
 
bool Scale (double scale_factor)
 
bool Translate (const ON_3dVector &translation_vector)
 
- Public Member Functions inherited from ON_Object
 ON_Object () ON_NOEXCEPT
 
 ON_Object (const ON_Object &)
 
virtual ~ON_Object ()
 
virtual ON_AggregateComponentStatus AggregateComponentStatus () const
 
bool AttachUserData (class ON_UserData *pUserData)
 
unsigned int ClearAllComponentStates () const
 
virtual unsigned int ClearComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_clear) const
 
virtual unsigned int ClearComponentStates (ON_ComponentStatus states_to_clear) const
 
void CopyUserData (const ON_Object &source_object)
 
unsigned int CopyUserData (const ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution)
 
virtual bool DeleteComponents (const ON_COMPONENT_INDEX *ci_list, size_t ci_count)
 
bool DetachUserData (class ON_UserData *pUserData)
 
void EmergencyDestroy ()
 
class ON_UserDataFirstUserData () const
 
virtual unsigned int GetComponentsWithSetStates (ON_ComponentStatus states_filter, bool bAllEqualStates, ON_SimpleArray< ON_COMPONENT_INDEX > &components) const
 
class ON_UserDataGetUserData (const ON_UUID &userdata_uuid) const
 
bool GetUserString (const wchar_t *key, ON_wString &string_value) const
 
int GetUserStringKeys (ON_ClassArray< ON_wString > &user_string_keys) const
 
int GetUserStrings (ON_ClassArray< ON_UserString > &user_strings) const
 
bool IsCorrupt (bool bRepair, bool bSilentError, class ON_TextLog *text_log) const
 
bool IsKindOf (const ON_ClassId *pClassId) const
 
virtual void MarkAggregateComponentStatusAsNotCurrent () const
 
virtual void MemoryRelocate ()
 
virtual ON_UUID ModelObjectId () const
 
void MoveUserData (ON_Object &source_object)
 
unsigned int MoveUserData (ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution, bool bDeleteAllSourceItems)
 
ON_Objectoperator= (const ON_Object &)
 
void PurgeUserData ()
 
virtual unsigned int SetComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_set) const
 
virtual unsigned int SetComponentStatus (ON_COMPONENT_INDEX component_index, ON_ComponentStatus status_to_copy) const
 
bool SetUserString (const wchar_t *key, const wchar_t *string_value)
 
int SetUserStrings (int count, const ON_UserString *user_strings, bool bReplace)
 
bool ThisIsNullptr (bool bSilentError) const
 
void TransformUserData (const class ON_Xform &xform)
 
virtual bool UpdateReferencedComponents (const class ON_ComponentManifest &source_manifest, const class ON_ComponentManifest &destination_manifest, const class ON_ManifestMap &manifest_map)
 
int UserStringCount () const
 

Static Public Member Functions

static class ON_NurbsSurfaceCreateHermiteSurface (const ON_SimpleArray< double > &u_Parameters, const ON_SimpleArray< double > &v_Parameters, const ON_ClassArray< ON_SimpleArray< ON_3dPoint >> &GridPoints, const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &u_Tangents, const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &v_Tangents, const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &TwistVectors, class ON_NurbsSurface *hermite_surface=0)
 
static ON_NurbsSurfaceNew ()
 
static ON_NurbsSurfaceNew (const ON_BezierSurface &bezier_surface)
 
static ON_NurbsSurfaceNew (const ON_NurbsSurface &nurbs_surface)
 
static ON_NurbsSurfaceNew (int dimension, bool bIsRational, int order0, int order1, int cv_count0, int cv_count1)
 
- Static Public Member Functions inherited from ON_Surface
static class ON_NurbsSurfaceCreateCubicLoft (int curve_count, const ON_Curve *const *curve_list, double k, int is_closed=0, ON::cubic_loft_end_condition start_shape=ON::cubic_loft_ec_quadratic, ON::cubic_loft_end_condition end_shape=ON::cubic_loft_ec_quadratic, class ON_NurbsSurface *nurbs_surface=0)
 
static class ON_NurbsSurfaceCreateLinearLoft (int curve_count, const ON_Curve *const *curve_list, double k, int is_closed=0, class ON_NurbsSurface *nurbs_surface=0)
 

Public Attributes

double * m_cv
 
int m_cv_capacity
 
int m_cv_count [2]
 number of control vertices ( >= order ) More...
 
int m_cv_stride [2]
 control vertex net memory More...
 
int m_dim
 < ON_COMPILING_OPENNURBS More...
 
int m_is_rat
 
double * m_knot [2]
 
int m_knot_capacity [2]
 knot vector memory More...
 
int m_order [2]
 order = degree+1 (>=2) More...
 

Additional Inherited Members

- Public Types inherited from ON_Surface
enum  ISO {
  not_iso = 0, x_iso = 1, y_iso = 2, W_iso = 3,
  S_iso = 4, E_iso = 5, N_iso = 6, iso_count = 7
}
 pure virtual class for surface objects More...
 
- Public Types inherited from ON_Object
enum  UserDataConflictResolution : unsigned char {
  UserDataConflictResolution::destination_object = 0, UserDataConflictResolution::source_object = 1, UserDataConflictResolution::source_copycount_gt = 2, UserDataConflictResolution::source_copycount_ge = 3,
  UserDataConflictResolution::destination_copycount_gt = 4, UserDataConflictResolution::destination_copycount_ge = 5, UserDataConflictResolution::delete_item = 6
}
 
- Static Public Attributes inherited from ON_Geometry
const static ON_Geometry Unset
 
- Protected Member Functions inherited from ON_Surface
ON_CurvePullbackCurveProxy (const ON_CurveProxy &curveproxy_3d, double tolerance, const ON_Interval *curve_3d_subdomain, ON_3dPoint start_uv, ON_3dPoint end_uv, ON_FitResult *rc) const
 Helper for ON_Surface::Pullback overrides that handles "real" curve issues. More...
 
ON_CurvePullbackPolyCurve (const ON_PolyCurve &polycurve_3d, double tolerance, const ON_Interval *curve_3d_subdomain, ON_3dPoint start_uv, ON_3dPoint end_uv, ON_FitResult *rc) const
 
ON_CurvePushupCurveProxy (const ON_CurveProxy &curveproxy_2d, double tolerance, const ON_Interval *curve_2d_subdomain, ON_FitResult *rc) const
 Helper for ON_Surface::Pushup overrides that handles "real" curve issues. More...
 
ON_CurvePushupPolyCurve (const ON_PolyCurve &polycurve_2d, double tolerance, const ON_Interval *curve_2d_subdomain, ON_FitResult *rc) const
 

Constructor & Destructor Documentation

◆ ON_NurbsSurface() [1/4]

ON_NurbsSurface::ON_NurbsSurface ( )

◆ ON_NurbsSurface() [2/4]

ON_NurbsSurface::ON_NurbsSurface ( const ON_NurbsSurface nurbs_surface)

◆ ON_NurbsSurface() [3/4]

ON_NurbsSurface::ON_NurbsSurface ( const ON_BezierSurface bezier_surface)

◆ ON_NurbsSurface() [4/4]

ON_NurbsSurface::ON_NurbsSurface ( int  dimension,
bool  bIsRational,
int  order0,
int  order1,
int  cv_count0,
int  cv_count1 
)
Parameters
dimensiondimension (>= 1)
bIsRationaltrue to make a rational NURBS
order0order0 (>= 2)
order1order1 (>= 2)
cv_count0cv count0 (>= order0)
cv_count1cv count1 (>= order1)

◆ ~ON_NurbsSurface()

virtual ON_NurbsSurface::~ON_NurbsSurface ( )
virtual

Member Function Documentation

◆ ChangeDimension()

bool ON_NurbsSurface::ChangeDimension ( int  desired_dimension)
Parameters
desired_dimensiondesired_dimension

◆ ChangeSurfaceSeam()

bool ON_NurbsSurface::ChangeSurfaceSeam ( int  dir,
double  t 
)

Description: If the surface is closed in direction dir, then modify it so that the seam is at parameter t in the dir direction. Parameters: dir - [in] must be 0 or 1 t - [in] dir parameter of seam, must have Domain(dir).Includes(t). The resulting surface domain in the dir direction will start at t. Returns: true if successful.

◆ ClampEnd()

bool ON_NurbsSurface::ClampEnd ( int  dir,
int  end 
)
Parameters
dirdir 0 = "s", 1 = "t"
end0 = clamp start, 1 = clamp end, 2 = clamp start and end

◆ CollapseSide()

bool ON_NurbsSurface::CollapseSide ( int  side,
ON_3dPoint  point = ON_3dPoint::UnsetPoint 
)

Description: Collapse the side of a NURBS surface to a single point. Parameters: side - [in] 0 = south west, 1 = south east, 2 = north east, 3 = north west point - [in] point to collapse to. If point is ON_3dPoint::UnsetPoint, the the current location of the start of the side is used. Returns: True if successful. Remarks: If the surface is rational, the weights of the side control points must be set before calling CollapseSide.

◆ ControlPoint()

const ON_4dPoint ON_NurbsSurface::ControlPoint ( int  i,
int  j 
) const

Parameters: i - [in] zero based control point index j - [in] zero based control point index Returns: Control point as an ON_4dPoint. Remarks: If i, j, or the nurbs surface is not valid, then ON_4dPoint::Nan is returned. If dim < 3, unused coordinates are zero. If dim >= 4, the first three coordinates are returned. If is_rat is false, the weight is 1.

◆ ControlPolygonLength()

double ON_NurbsSurface::ControlPolygonLength ( int  dir) const

Interface.

Description: Get the maximum length of a nurb surface's control polygon rows and/or columns Parameters: dir - [in] 0 to get "u" direction length, 1 to get "v" direction length length - [out] maximum length of a polygon "row" in the specified direction Returns: true if successful.

◆ ConvertSpanToBezier()

bool ON_NurbsSurface::ConvertSpanToBezier ( int  span_index0,
int  span_index1,
ON_BezierSurface bezier_surface 
) const

Description: Convert a NURBS surface bispan into a bezier surface. Parameters: span_index0 - [in] Specifies the "u" span and must satisfy 0 <= span_index0 <= m_cv_count[0]-m_order[0] m_knot[0][span_index0+m_order[0]-2] < m_knot[0][span_index0+m_order[0]-1] span_index1 - [in] Specifies the "v" span and must satisfy 0 <= span_index1 <= m_cv_count[1]-m_order[1] m_knot[1][span_index1+m_order[1]-2] < m_knot[1][span_index1+m_order[1]-1] bezier_surface - [out] bezier surface returned here Returns: true if successful false if input is not valid

◆ Create()

bool ON_NurbsSurface::Create ( int  dim,
bool  is_rat,
int  order0,
int  order1,
int  cv_count0,
int  cv_count1 
)
Parameters
dimdimension (>= 1)
is_rattrue to make a rational NURBS
order0order0 (>= 2)
order1order1 (>= 2)
cv_count0cv count0 (>= order0)
cv_count1cv count1 (>= order1)

◆ CreateConeSurface()

int ON_NurbsSurface::CreateConeSurface ( ON_3dPoint  apex_point,
const ON_Curve curve,
const ON_Interval curve_domain = nullptr 
)

Description: Create a cone surface from a curve to a point. Parameters: apex_point - [in] curve - [in] curve_domain - [in] if not nullptr, then this is a subdomain of curve to use for the ruled surface. Returns: @untitled table 0 failure 1 success - parameterization is exact 2 success - parameterization is not exact Remarks: The ruling parameter is the second surface parameter and it is in the interval [0,1]. The true cone surface has parameterization srf(s,t) = (1.0-t)*curve(s) + t*apex_point. The returned NURBS surface has parameterization srf(s,t) = (1.0-t)*nurbs_curve(s) + t*apex_point, where nurbs_curve is the NURBS form of curve. If the parameterization of nurbs_curve does not match the parameterization of curve, then 2 is returned.

◆ CreateHermiteSurface()

static class ON_NurbsSurface* ON_NurbsSurface::CreateHermiteSurface ( const ON_SimpleArray< double > &  u_Parameters,
const ON_SimpleArray< double > &  v_Parameters,
const ON_ClassArray< ON_SimpleArray< ON_3dPoint >> &  GridPoints,
const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &  u_Tangents,
const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &  v_Tangents,
const ON_ClassArray< ON_SimpleArray< ON_3dVector >> &  TwistVectors,
class ON_NurbsSurface hermite_surface = 0 
)
static

Description: Create an ON_NurbsSurface satisfying Hermite interpolation conditions at a grid of points. Parameters: u_Parameters v_Parameters - [in] Specifies the "u"( or "v") parameters defining the grid of parameter values u_Parameters.Count()>1 u_Parameters are strictly increasing, i.e. u_Parameters[i] < u_Parameters[i+1] same conditions on v_Parameters Let n = u_Parameters.Count() and m = v_Parameters.Count().

Each of GridPoints, u_Tangents, v_Tangents and TwistVectors are data on a grid of parameters. The size of each of these arrays must be n x m, s GridPoints.Count() == n and GridPoints[i].Count() == m.

GridPoints - [in] Grid of points to interpolate. u_Tangents - [in] Grid of Tangent directions ( actually first derivatives) to interpolate. v_Tangents - [in] Grid of Tangent directions ( actually first derivatives) to interpolate. TwistVectors - [in] Grid of twist vectors (mixed second partial derovative) to interpolate.

hermite_surface -[in] optional existing ON_NurbsSurface returned here. Returns: A hermite-surface satisfying interpolation conditions. Null if error. Notes: The Hermite surface, H, is bicubic on each patch [u_i, u_(i+1)] x [v_j, v_(j+1)] and satisfies H( u_i, v_j) = GridData[i][j] H_u(u_i, v_j) = u_Tangents[i][j] H_v(u_i, v_j) = v_Tangents[i][j] H_uv(u_i, v_j) = Twist[i][j]

◆ CreateMesh()

ON_Mesh* ON_NurbsSurface::CreateMesh ( const ON_MeshParameters mp,
ON_Mesh mesh = nullptr 
) const
overridevirtual

ON_Surface overrides.

Reimplemented from ON_Surface.

◆ CreateRuledSurface()

virtual int ON_NurbsSurface::CreateRuledSurface ( const ON_Curve curveA,
const ON_Curve curveB,
const ON_Interval curveA_domain = nullptr,
const ON_Interval curveB_domain = nullptr 
)
virtual

Description: Create a ruled surface from two curves. Parameters: curveA - [in] (must have same NURBS form knots as curveB) curveB - [in] (must have same NURBS form knots as curveA) curveA_domain - [in] if not nullptr, then this is a subdomain of curveA to use for the ruled surface. curveB_domain - [in] if not nullptr, then this is a subdomain of curveA to use for the ruled surface. Returns: @untitled table 0 failure 1 success - parameterization is exact 2 success - parameterization is not exact Remarks: The ruling parameter is the second surface parameter and it is in the interval [0,1]. The true ruled surface has parameterization srf(s,t) = (1.0-t)*curveA(s) + t*curveB(s). The returned NURBS surface has parameterization srf(s,t) = (1.0-t)*nurbs_curveA(s) + t*nurbs_curveB(s), where nurbs_curveX is the NURBS form of curveX. If the parameterization of nurbs_curveX does not match the parameterization of curveX, then 2 is returned.

◆ CV() [1/3]

double* ON_NurbsSurface::CV ( int  i,
int  j 
) const

Description: Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_NurbsSurface::GetCV( ON_3dPoint& ) or ON_NurbsSurface::GetCV( ON_4dPoint& ). Parameters: i - [in] (0 <= i < m_cv_count[0]) j - [in] (0 <= j < m_cv_count[1]) Returns: Pointer to control vertex. Remarks: If the NURBS surface is rational, the format of the returned array is a homogeneos rational point with length m_dim+1. If the NURBS surface is not rational, the format of the returned array is a nonrational euclidean point with length m_dim. See Also ON_NurbsSurface::CVStyle ON_NurbsSurface::GetCV ON_NurbsSurface::Weight

◆ CV() [2/3]

double* ON_NurbsSurface::CV ( ON_2dex  cvdex) const

◆ CV() [3/3]

double* ON_NurbsSurface::CV ( ON_2udex  cvdex) const

◆ CVCount() [1/2]

int ON_NurbsSurface::CVCount ( int  ) const

◆ CVCount() [2/2]

int ON_NurbsSurface::CVCount ( void  ) const

◆ CVSize()

int ON_NurbsSurface::CVSize ( void  ) const

◆ CVStyle()

ON::point_style ON_NurbsSurface::CVStyle ( ) const

Description: Returns the style of control vertices in the m_cv array. Returns: @untitled table ON::not_rational m_is_rat is false ON::homogeneous_rational m_is_rat is true

◆ DataCRC()

ON__UINT32 ON_NurbsSurface::DataCRC ( ON__UINT32  current_remainder) const
overridevirtual

virtual ON_Object::DataCRC override

Reimplemented from ON_Object.

◆ Degree()

int ON_NurbsSurface::Degree ( int  ) const
overridevirtual

Implements ON_Surface.

◆ Destroy()

void ON_NurbsSurface::Destroy ( )

◆ Dimension()

int ON_NurbsSurface::Dimension ( ) const
overridevirtual

ON_Geometry overrides.

Reimplemented from ON_Geometry.

◆ Domain()

ON_Interval ON_NurbsSurface::Domain ( int  ) const
overridevirtual

Implements ON_Surface.

◆ Dump()

void ON_NurbsSurface::Dump ( ON_TextLog ) const
overridevirtual

for debugging

Reimplemented from ON_Object.

◆ EmergencyDestroy()

void ON_NurbsSurface::EmergencyDestroy ( )

call if memory used by this class becomes invalid

◆ Evaluate()

bool ON_NurbsSurface::Evaluate ( double  u,
double  v,
int  num_der,
int  array_stride,
double *  der_array,
int  quadrant = 0,
int *  hint = 0 
) const
overridevirtual

work horse evaluator

Parameters
ureturns false if unable to evaluate
vevaluation parameters
num_dernumber of derivatives (>=0)
array_stridearray stride (>=Dimension())
der_arrayarray of length stride*(ndir+1)*(ndir+2)/2
quadrantoptional - determines which quadrant to evaluate from 0 = default 1 from NE quadrant 2 from NW quadrant 3 from SW quadrant 4 from SE quadrant
hintoptional - evaluation hint (int[2]) used to speed repeated evaluations

Implements ON_Surface.

◆ Extend()

bool ON_NurbsSurface::Extend ( int  dir,
const ON_Interval domain 
)
overridevirtual

Description: Where possible, analytically extends surface to include domain. Parameters: dir - [in] 0 new Domain(0) will include domain. (the first surface parameter). 1 new Domain(1) will include domain. (the second surface parameter). domain - [in] if domain is not included in surface domain, surface will be extended so that its domain includes domain.
Will not work if surface is closed in direction dir. Original surface is identical to the restriction of the resulting surface to the original surface domain, Returns: true if successful.

Reimplemented from ON_Surface.

◆ GetBBox()

bool ON_NurbsSurface::GetBBox ( double *  boxmin,
double *  boxmax,
bool  bGrowBox = false 
) const
overridevirtual

virtual ON_Geometry GetBBox override

Reimplemented from ON_Geometry.

◆ GetCubicBezierApproximation() [1/2]

double ON_NurbsSurface::GetCubicBezierApproximation ( double  max_deviation,
class ON_BezierSurface bezierSurface 
) const

Description: Approximate the entire NURBS surface with a single nonrational cubic bezier surface. Typically, the NURBS surface has only a few bispans. Parameters: max_deviation - [in] If max_deviation >= 0.0, then the approximation is returned only if the deviation sample is <= max_deviation. bezierSurface - [out] Returns: ON_DBL_QNAN: no bezier surface is returned. If a bezier surface is returned, then the maximum deviation between the bezier suface this NURBS surface sampled at the Greville abcissa.

◆ GetCubicBezierApproximation() [2/2]

double ON_NurbsSurface::GetCubicBezierApproximation ( double  max_deviation,
ON_3dPoint  bezCV[4][4] 
) const

Description: Approximate the entire NURBS surface with a single nonrational cubic bezier surface. Typically, the NURBS surface has only a few bispans. Parameters: max_deviation - [in] If max_deviation >= 0.0, then the approximation is returned only if the deviation sample is <= max_deviation. bezierSurface - [out] Returns: ON_DBL_QNAN: no bezier surface is returned. If a bezier surface is returned, then the maximum deviation between the bezier suface this NURBS surface sampled at the Greville abcissa.

◆ GetCV() [1/3]

bool ON_NurbsSurface::GetCV ( int  i,
int  j,
ON::point_style  ,
double *  cv 
) const
Parameters
iget a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvarray of length >= CVSize()

◆ GetCV() [2/3]

bool ON_NurbsSurface::GetCV ( int  i,
int  j,
ON_3dPoint cv 
) const
Parameters
iget a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvgets euclidean cv when NURBS is rational

◆ GetCV() [3/3]

bool ON_NurbsSurface::GetCV ( int  i,
int  j,
ON_4dPoint cv 
) const
Parameters
iget a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvgets homogeneous cv

◆ GetGrevilleAbcissae()

bool ON_NurbsSurface::GetGrevilleAbcissae ( int  dir,
double *  g 
) const
Parameters
dirsee ON_GetGrevilleAbcissa() for details dir
gg[cv count]

◆ GetNextDiscontinuity()

bool ON_NurbsSurface::GetNextDiscontinuity ( int  dir,
ON::continuity  c,
double  t0,
double  t1,
double *  t,
int *  hint = nullptr,
int *  dtype = nullptr,
double  cos_angle_tolerance = ON_DEFAULT_ANGLE_TOLERANCE_COSINE,
double  curvature_tolerance = ON_SQRT_EPSILON 
) const
overridevirtual

Description: Search for a derivatitive, tangent, or curvature discontinuity. Parameters: dir - [in] If 0, then "u" parameter is checked. If 1, then the "v" parameter is checked. c - [in] type of continity to test for. t0 - [in] Search begins at t0. If there is a discontinuity at t0, it will be ignored. This makes it possible to repeatedly call GetNextDiscontinuity and step through the discontinuities. t1 - [in] (t0 != t1) If there is a discontinuity at t1 is will be ingored unless c is a locus discontinuity type and t1 is at the start or end of the curve. t - [out] if a discontinuity is found, then *t reports the parameter at the discontinuity. hint - [in/out] if GetNextDiscontinuity will be called repeatedly, passing a "hint" with initial value *hint=0 will increase the speed of the search.
dtype - [out] if not nullptr, *dtype reports the kind of discontinuity found at *t. A value of 1 means the first derivative or unit tangent was discontinuous. A value of 2 means the second derivative or curvature was discontinuous. A value of 0 means teh curve is not closed, a locus discontinuity test was applied, and t1 is at the start of end of the curve. cos_angle_tolerance - [in] default = cos(1 degree) Used only when c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the cosine of the angle between two tangent vectors is <= cos_angle_tolerance, then a G1 discontinuity is reported. curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when c is ON::continuity::G2_continuous. If K0 and K1 are curvatures evaluated from above and below and |K0 - K1| > curvature_tolerance, then a curvature discontinuity is reported. Returns: Parametric continuity tests c = (C0_continuous, ..., G2_continuous):

true if a parametric discontinuity was found strictly between t0 and t1. Note well that all curves are parametrically continuous at the ends of their domains.

Locus continuity tests c = (C0_locus_continuous, ...,G2_locus_continuous):

true if a locus discontinuity was found strictly between t0 and t1 or at t1 is the at the end of a curve. Note well that all open curves (IsClosed()=false) are locus discontinuous at the ends of their domains. All closed curves (IsClosed()=true) are at least C0_locus_continuous at the ends of their domains.

Reimplemented from ON_Surface.

◆ GetNurbForm()

int ON_NurbsSurface::GetNurbForm ( ON_NurbsSurface ,
double  = 0.0 
) const
overridevirtual

virtual ON_Surface::GetNurbForm() override. The ON_NurbsSurface version returns 1 and a copy of the ON_NurbsSurface.

Reimplemented from ON_Surface.

◆ GetParameterTolerance()

bool ON_NurbsSurface::GetParameterTolerance ( int  ,
double  ,
double *  ,
double *   
) const
overridevirtual

Reimplemented from ON_Surface.

◆ GetSpanVector()

bool ON_NurbsSurface::GetSpanVector ( int  ,
double *   
) const
overridevirtual

Implements ON_Surface.

◆ GetSurfaceSize()

bool ON_NurbsSurface::GetSurfaceSize ( double *  width,
double *  height 
) const
overridevirtual

Description: Get an estimate of the size of the rectangle that would be created if the 3d surface where flattened into a rectangle. Parameters: width - [out] (corresponds to the first surface parameter) height - [out] (corresponds to the first surface parameter) Remarks: overrides virtual ON_Surface::GetSurfaceSize Returns: true if successful.

Reimplemented from ON_Surface.

◆ GrevilleAbcissa()

double ON_NurbsSurface::GrevilleAbcissa ( int  dir,
int  cv_index 
) const
Parameters
dirdir
cv_indexindex (0 <= index < CVCount(dir)

◆ HasNurbForm()

int ON_NurbsSurface::HasNurbForm ( ) const
overridevirtual

virtual ON_Surface::HasNurbForm() override. The ON_NurbsSurface version returns 1.

Reimplemented from ON_Surface.

◆ IncreaseDegree()

bool ON_NurbsSurface::IncreaseDegree ( int  dir,
int  desired_degree 
)
Parameters
dirdir 0 = "s", 1 = "t"
desired_degreedesired_degree

◆ Initialize()

void ON_NurbsSurface::Initialize ( void  )

zeros all fields

◆ InsertKnot()

bool ON_NurbsSurface::InsertKnot ( int  dir,
double  knot_value,
int  knot_multiplicity = 1 
)
Parameters
dirdir 0 = "s", 1 = "t"
knot_valuevalue of knot
knot_multiplicitymultiplicity of knot ( >= 1 and <= degree )

◆ IsClamped()

bool ON_NurbsSurface::IsClamped ( int  dir,
int  end = 2 
) const

Description: Test the knot vector to see if it is clamped. Parameters: dir: 0: first parameter 1: second parameter end: 0: test start 1: test end 2: test start and end.

◆ IsClosed()

bool ON_NurbsSurface::IsClosed ( int  ) const
overridevirtual

CV = euclidean location of end CV, or surface is

Reimplemented from ON_Surface.

◆ IsContinuous()

bool ON_NurbsSurface::IsContinuous ( ON::continuity  c,
double  s,
double  t,
int *  hint = nullptr,
double  point_tolerance = ON_ZERO_TOLERANCE,
double  d1_tolerance = ON_ZERO_TOLERANCE,
double  d2_tolerance = ON_ZERO_TOLERANCE,
double  cos_angle_tolerance = ON_DEFAULT_ANGLE_TOLERANCE_COSINE,
double  curvature_tolerance = ON_SQRT_EPSILON 
) const
overridevirtual

Description: Test continuity at a surface parameter value. Parameters: c - [in] continuity to test for s - [in] surface parameter to test t - [in] surface parameter to test hint - [in] evaluation hint point_tolerance - [in] if the distance between two points is greater than point_tolerance, then the surface is not C0. d1_tolerance - [in] if the difference between two first derivatives is greater than d1_tolerance, then the surface is not C1. d2_tolerance - [in] if the difference between two second derivatives is greater than d2_tolerance, then the surface is not C2. cos_angle_tolerance - [in] default = cos(1 degree) Used only when c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the cosine of the angle between two normal vectors is <= cos_angle_tolerance, then a G1 discontinuity is reported. curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when c is ON::continuity::G2_continuous. If K0 and K1 are curvatures evaluated from above and below and |K0 - K1| > curvature_tolerance, then a curvature discontinuity is reported. Returns: true if the surface has at least the c type continuity at the parameter t. Remarks: Overrides virtual ON_Surface::IsContinuous

Reimplemented from ON_Surface.

◆ IsDeformable()

bool ON_NurbsSurface::IsDeformable ( ) const
overridevirtual

virtual ON_Geometry::IsDeformable() override

Reimplemented from ON_Geometry.

◆ IsDuplicate()

bool ON_NurbsSurface::IsDuplicate ( const ON_NurbsSurface other,
bool  bIgnoreParameterization,
double  tolerance = ON_ZERO_TOLERANCE 
) const

Description: See if this and other are same NURBS geometry. Parameters: other - [in] other NURBS surface bIgnoreParameterization - [in] if true, parameterization and orientaion are ignored. tolerance - [in] tolerance to use when comparing control points. Returns: true if curves are tne same.

◆ IsMorphable()

bool ON_NurbsSurface::IsMorphable ( ) const
overridevirtual

virtual ON_Geometry override

Reimplemented from ON_Geometry.

◆ IsNatural() [1/2]

bool ON_NurbsSurface::IsNatural ( int  dir,
int  end = 2 
) const

Description: Test the side of a surface to see if it's natural (Zero 2nd derivative). Parameters: dir: 0: first parameter 1: second parameter end: 0: test start 1: test end 2: test start and end.

Parameters
dirdetermine if knot vector is clamped dir 0 = "s", 1 = "t"
endend to check: 0 = start, 1 = end, 2 = start and end

◆ IsNatural() [2/2]

bool ON_NurbsSurface::IsNatural ( int  dir,
size_t  t_count,
const double *  t 
) const

Description: Test a surface to see if it's natural (Zero 2nd derivative) on an iso curve. Parameters: dir: 0: first parameter 1: second parameter t_count - [in] t - [in] t[] is a list of parameters to check.

Parameters
dirdetermine if knot vector is clamped dir 0 = "s", 1 = "t"

◆ IsoCurve()

ON_Curve* ON_NurbsSurface::IsoCurve ( int  dir,
double  c 
) const
overridevirtual

Description: Get isoparametric curve. Overrides virtual ON_Surface::IsoCurve. Parameters: dir - [in] 0 first parameter varies and second parameter is constant e.g., point on IsoCurve(0,c) at t is srf(t,c) 1 first parameter is constant and second parameter varies e.g., point on IsoCurve(1,c) at t is srf(c,t)

c - [in] value of constant parameter Returns: Isoparametric curve.

Reimplemented from ON_Surface.

◆ IsPeriodic()

bool ON_NurbsSurface::IsPeriodic ( int  ) const
overridevirtual

periodic.)

are duplicates of first degree many CVs.)

Reimplemented from ON_Surface.

◆ IsPlanar()

bool ON_NurbsSurface::IsPlanar ( ON_Plane plane = nullptr,
double  tolerance = ON_ZERO_TOLERANCE 
) const
overridevirtual

Description: Test a surface to see if it is planar. Parameters: plane - [out] if not nullptr and true is returned, the plane parameters are filled in. tolerance - [in] tolerance to use when checking Returns: true if there is a plane such that the maximum distance from the surface to the plane is <= tolerance. Remarks: Overrides virtual ON_Surface::IsPlanar.

Reimplemented from ON_Surface.

◆ IsRational()

bool ON_NurbsSurface::IsRational ( void  ) const

◆ IsSingular()

bool ON_NurbsSurface::IsSingular ( int  ) const
overridevirtual

Reimplemented from ON_Surface.

◆ IsValid()

bool ON_NurbsSurface::IsValid ( class ON_TextLog text_log = nullptr) const
overridevirtual

ON_Object overrides.

Reimplemented from ON_Geometry.

◆ Knot() [1/2]

const double* ON_NurbsSurface::Knot ( int  dir) const
Parameters
dirknot[] array dir 0 = "s", 1 = "t"

◆ Knot() [2/2]

double ON_NurbsSurface::Knot ( int  dir,
int  knot_index 
) const
Parameters
dirdir 0 = "s", 1 = "t"
knot_indexknot index ( >= 0 and < Order + CV_count - 2 )

◆ KnotCount()

int ON_NurbsSurface::KnotCount ( int  dir) const
Parameters
dirtotal number of knots in knot vector dir 0 = "s", 1 = "t"

◆ KnotMultiplicity()

int ON_NurbsSurface::KnotMultiplicity ( int  dir,
int  knot_index 
) const
Parameters
dirdir 0 = "s", 1 = "t"
knot_indexknot index ( >= 0 and < Order + CV_count - 2 )

◆ MakeClampedUniformKnotVector()

bool ON_NurbsSurface::MakeClampedUniformKnotVector ( int  dir,
double  delta = 1.0 
)

Description: Make knot vector a clamped uniform knot vector based on the current values of m_order and m_cv_count. Does not change values of control vertices. Parameters: dir - [in] 0 = u knots, 1 = v knots delta - in knot spacing. Returns: true if successful. Remarks: Allocates m_knot[] if it is not big enough. See Also: ON_MakeClampedUniformKnotVector

◆ MakeDeformable()

bool ON_NurbsSurface::MakeDeformable ( )
overridevirtual

virtual ON_Geometry::MakeDeformable() override

Reimplemented from ON_Geometry.

◆ MakeNonRational()

bool ON_NurbsSurface::MakeNonRational ( )

◆ MakePeriodicUniformKnotVector()

bool ON_NurbsSurface::MakePeriodicUniformKnotVector ( int  dir,
double  delta = 1.0 
)

Description: Make knot vector a periodic uniform knot vector based on the current values of m_order and m_cv_count. Does not change values of control vertices. Parameters: dir - [in] 0 = u knots, 1 = v knots delta - in knot spacing. Returns: true if successful. Remarks: Allocates m_knot[] if it is not big enough. See Also: ON_MakePeriodicUniformKnotVector

◆ MakeRational()

bool ON_NurbsSurface::MakeRational ( )

◆ Morph()

bool ON_NurbsSurface::Morph ( const ON_SpaceMorph morph)
override

virtual ON_Geometry override

◆ New() [1/4]

static ON_NurbsSurface* ON_NurbsSurface::New ( )
static

Description: Use ON_NurbsSurface::New(...) instead of new ON_NurbsSurface(...) Returns: Pointer to an ON_NurbsSurface. Destroy by calling delete. Remarks: See static ON_Brep* ON_Brep::New() for details.

◆ New() [2/4]

static ON_NurbsSurface* ON_NurbsSurface::New ( const ON_BezierSurface bezier_surface)
static

◆ New() [3/4]

static ON_NurbsSurface* ON_NurbsSurface::New ( const ON_NurbsSurface nurbs_surface)
static

◆ New() [4/4]

static ON_NurbsSurface* ON_NurbsSurface::New ( int  dimension,
bool  bIsRational,
int  order0,
int  order1,
int  cv_count0,
int  cv_count1 
)
static

◆ Offset()

ON_Surface* ON_NurbsSurface::Offset ( double  offset_distance,
double  tolerance,
double *  max_deviation = nullptr 
) const
virtual

Description: Offset surface. Parameters: offset_distance - [in] offset distance tolerance - [in] Some surfaces do not have an exact offset that can be represented using the same class of surface definition. In that case, the tolerance specifies the desired accuracy. max_deviation - [out] If this parameter is not nullptr, the maximum deviation from the returned offset to the true offset is returned here. This deviation is zero except for cases where an exact offset cannot be computed using the same class of surface definition. Returns: Offset surface.

Reimplemented from ON_Surface.

◆ operator=() [1/2]

ON_NurbsSurface& ON_NurbsSurface::operator= ( const ON_BezierSurface bezier_surface)

Description: Set NURBS surface equal to bezier surface with domain [0,1]x[0,1]. Parameters: bezier_surface - [in]

◆ operator=() [2/2]

ON_NurbsSurface& ON_NurbsSurface::operator= ( const ON_NurbsSurface )

◆ Order()

int ON_NurbsSurface::Order ( int  ) const

◆ Read()

bool ON_NurbsSurface::Read ( ON_BinaryArchive binary_archive)
overridevirtual

Description: Low level archive writing tool used by ON_BinaryArchive::ReadObject(). Parameters: binary_archive - archive to read from Returns: Returns true if the read is successful. Remarks: Use ON_BinaryArchive::ReadObject() to read objects. This Read() function should read the objects definition back into its data members.

The default implementation of this virtual function returns false and does nothing.

Reimplemented from ON_Object.

◆ RemoveKnots()

bool ON_NurbsSurface::RemoveKnots ( int  dir,
int  i0,
int  i1 
)

Description: Remove knots from parameter 0 or parameter 1 knot vector. Adjust the remaining control points to maintain surface position as closely as possible. Parameters: dir - [in] 0 or 1. 0 for the first parameter, 1 for the second parameter. i0, i1 - [in] ( Order(dir)-2 < i0 < i1 <= CVCount(dir)-1 The knots from Knot(dir,i0) through Knot(dir,i1-1) will be removed. Returns: true if successful.

◆ ReserveCVCapacity()

bool ON_NurbsSurface::ReserveCVCapacity ( int  cv_array_capacity)
Parameters
cv_array_capacityreturns false if allocation fails does not change m_order or m_cv_count minimum capacity of m_cv[] array

◆ ReserveKnotCapacity()

bool ON_NurbsSurface::ReserveKnotCapacity ( int  dir,
int  knot_array_capacity 
)

Tools for managing CV and knot memory.

Parameters
dirreturns false if allocation fails does not change m_order or m_cv_count dir 0 = "s", 1 = "t"
knot_array_capacityminimum capacity of m_knot[] array

◆ Reverse()

bool ON_NurbsSurface::Reverse ( int  )
overridevirtual

Implements ON_Surface.

◆ SetClampedGrevilleKnotVector()

bool ON_NurbsSurface::SetClampedGrevilleKnotVector ( int  dir,
int  g_stride,
const double *  g 
)
Parameters
dirdir
g_strideg_stride
gg[], CVCount(dir) many Greville abcissa

◆ SetCV() [1/3]

bool ON_NurbsSurface::SetCV ( int  i,
int  j,
const ON_3dPoint cv 
)
Parameters
iset a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvvalue of control vertex If NURBS is rational, weight will be set to 1.

◆ SetCV() [2/3]

bool ON_NurbsSurface::SetCV ( int  i,
int  j,
const ON_4dPoint cv 
)
Parameters
iset a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvvalue of control vertex

◆ SetCV() [3/3]

bool ON_NurbsSurface::SetCV ( int  i,
int  j,
ON::point_style  ,
const double *  cv 
)
Parameters
iset a single control vertex
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
cvvalue of control vertex

◆ SetCVColumn() [1/2]

bool ON_NurbsSurface::SetCVColumn ( int  col_index,
const ON_3dPoint cv 
)
Parameters
col_indexSets CV( col_index, * ) col_index >= 0 and < m_cv_count[0]
cvvalue of control vertex If NURBS is rational, weight will be set to 1.

◆ SetCVColumn() [2/2]

bool ON_NurbsSurface::SetCVColumn ( int  col_index,
int  v_stride,
const double *  v 
)
Parameters
col_indexSets CV( col_index, * ) col_index >= 0 and < m_cv_count[0]
v_stridev stride
vv[] = values (same dim and is_rat as surface)

◆ SetCVRow() [1/2]

bool ON_NurbsSurface::SetCVRow ( int  row_index,
const ON_3dPoint cv 
)
Parameters
row_indexSets CV( *, row_index ) row_index >= 0 and < m_cv_count[1]
cvvalue of control vertex If NURBS is rational, weight will be set to 1.

◆ SetCVRow() [2/2]

bool ON_NurbsSurface::SetCVRow ( int  row_index,
int  v_stride,
const double *  v 
)
Parameters
row_indexSets CV( *, row_index ) row_index >= 0 and < m_cv_count[1]
v_stridev stride
vv[] = values (same dim and is_rat as surface)

◆ SetDomain()

bool ON_NurbsSurface::SetDomain ( int  dir,
double  t0,
double  t1 
)
overridevirtual
Parameters
dir0 sets first parameter's domain, 1 gets second parameter's domain

Reimplemented from ON_Surface.

◆ SetKnot()

bool ON_NurbsSurface::SetKnot ( int  dir,
int  knot_index,
double  knot_value 
)
Parameters
dirdir 0 = "s", 1 = "t"
knot_indexknot index ( 0 to KnotCount - 1 )
knot_valuevalue for knot

◆ SetPeriodicGrevilleKnotVector()

bool ON_NurbsSurface::SetPeriodicGrevilleKnotVector ( int  dir,
int  g_stride,
const double *  g 
)
Parameters
dirdir
g_strideg_stride
gg[], Greville abcissa

◆ SetWeight()

bool ON_NurbsSurface::SetWeight ( int  i,
int  j,
double  weight 
)

Description: Set value of control vertex weight. If surface is non-rational, it will be converted to rational.

Parameters
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)
weightvalue of control point weight

◆ SizeOf()

unsigned int ON_NurbsSurface::SizeOf ( ) const
overridevirtual

virtual ON_Object::SizeOf override

Reimplemented from ON_Object.

◆ SpanCount()

int ON_NurbsSurface::SpanCount ( int  ) const
overridevirtual

number of smooth spans in curve

Implements ON_Surface.

◆ Split()

bool ON_NurbsSurface::Split ( int  dir,
double  c,
ON_Surface *&  west_or_south_side,
ON_Surface *&  east_or_north_side 
) const
overridevirtual

Description: Splits (divides) the surface into two parts at the specified parameter. Overrides virtual ON_Surface::Split.

Parameters: dir - [in] 0 The surface is split vertically. The "west" side is returned in "west_or_south_side" and the "east" side is returned in "east_or_north_side". 1 The surface is split horizontally. The "south" side is returned in "west_or_south_side" and the "north" side is returned in "east_or_north_side". c - [in] value of constant parameter in interval returned by Domain(dir) west_or_south_side - [out] west/south portion of surface returned here east_or_north_side - [out] east/north portion of surface returned here

Example:

    ON_NurbsSurface srf = ...;
    int dir = 1;
    ON_NurbsSurface* south_side = 0;
    ON_NurbsSurface* north_side = 0;
    srf.Split( dir, srf.Domain(dir).Mid() south_side, north_side );

Reimplemented from ON_Surface.

◆ SuperfluousKnot()

double ON_NurbsSurface::SuperfluousKnot ( int  dir,
int  end 
) const
Parameters
dirdir 0 = "s", 1 = "t"
end0 = start, 1 = end

◆ SwapCoordinates()

bool ON_NurbsSurface::SwapCoordinates ( int  i,
int  j 
)
overridevirtual

Description: Swaps object coordinate values with indices i and j.

Parameters: i - [in] coordinate index j - [in] coordinate index

Remarks: The default implementation uses the virtual Transform() function to calculate the result. If you are creating an object where Transform() is slow, coordinate swapping will be frequently used, and coordinate swapping can be quickly accomplished, then override this function.

Example:

     ON_Point point(7,8,9);
     point.SwapCoordinates(0,2);
     ///< point = (9,8,7) 

Reimplemented from ON_Geometry.

◆ TensorProduct()

bool ON_NurbsSurface::TensorProduct ( const ON_NurbsCurve ,
const ON_NurbsCurve ,
ON_TensorProduct  
)

Creates a tensor product nurbs surface with srf(s,t) = T(A(s),B(t));.

◆ Transform()

bool ON_NurbsSurface::Transform ( const ON_Xform xform)
overridevirtual

Description: Transforms the object.

Parameters: xform - [in] transformation to apply to object. If xform.IsSimilarity() is zero, then you may want to call MakeSquishy() before calling Transform.

Remarks: When overriding this function, be sure to include a call to ON_Object::TransformUserData() which takes care of transforming any ON_UserData that may be attached to the object.

See Also: ON_Geometry::IsDeformable();

Remarks: Classes derived from ON_Geometry should call ON_Geometry::Transform() to handle user data transformations and then transform their definition.

Reimplemented from ON_Geometry.

◆ Transpose()

bool ON_NurbsSurface::Transpose ( )
overridevirtual

transpose surface parameterization (swap "s" and "t")

Implements ON_Surface.

◆ Trim()

bool ON_NurbsSurface::Trim ( int  dir,
const ON_Interval domain 
)
overridevirtual

Description: Removes the portions of the surface outside of the specified interval. Overrides virtual ON_Surface::Trim.

Parameters: dir - [in] 0 The domain specifies an sub-interval of Domain(0) (the first surface parameter). 1 The domain specifies an sub-interval of Domain(1) (the second surface parameter). domain - [in] interval of the surface to keep. If dir is 0, then the portions of the surface with parameters (s,t) satisfying s < Domain(0).Min() or s > Domain(0).Max() are trimmed away. If dir is 1, then the portions of the surface with parameters (s,t) satisfying t < Domain(1).Min() or t > Domain(1).Max() are trimmed away.

Reimplemented from ON_Surface.

◆ Weight()

double ON_NurbsSurface::Weight ( int  i,
int  j 
) const
Parameters
iget value of control vertex weight
jCV index ( 0 <= i <= CVCount(0), 0 <= j <= CVCount(1)

◆ Write()

bool ON_NurbsSurface::Write ( ON_BinaryArchive binary_archive) const
overridevirtual

Description: Low level archive writing tool used by ON_BinaryArchive::WriteObject(). Parameters: binary_archive - archive to write to Returns: Returns true if the write is successful. Remarks: Use ON_BinaryArchive::WriteObject() to write objects. This Write() function should just write the specific definition of this object. It should not write and any chunk typecode or length information.

The default implementation of this virtual function returns false and does nothing.

Reimplemented from ON_Object.

◆ ZeroCVs()

bool ON_NurbsSurface::ZeroCVs ( )

zeros all CVs (any weights set to 1);

Member Data Documentation

◆ m_cv

double* ON_NurbsSurface::m_cv

Control points. If m_is_rat is false, then control point is

     ( CV(i)[0], ..., CV(i)[m_dim-1] ).

If m_is_rat is true, then the control point is stored in HOMOGENEOUS form and is

    [ CV(i)[0], ..., CV(i)[m_dim] ].

◆ m_cv_capacity

int ON_NurbsSurface::m_cv_capacity

If m_cv_capacity > 0, then m_cv[] is an array of at least m_cv_capacity doubles whose memory is managed by the ON_NurbsSurface class using rhmalloc(), onrealloc(), and rhfree(). If m_cv_capacity is 0 and m_cv is not nullptr, then m_cv[] is assumed to be big enough for any requested operation and m_cv[] is not deleted by the destructor.

◆ m_cv_count

int ON_NurbsSurface::m_cv_count[2]

number of control vertices ( >= order )

◆ m_cv_stride

int ON_NurbsSurface::m_cv_stride[2]

control vertex net memory

The pointer to start of "CV[i]" is m_cv + i*m_cv_stride.

◆ m_dim

int ON_NurbsSurface::m_dim

< ON_COMPILING_OPENNURBS

Implementation NOTE: These members are left "public" so that expert users may efficiently create NURBS curves using the default constructor and borrow the knot and CV arrays from their native NURBS representation. No technical support will be provided for users who access these members directly. If you can't get your stuff to work, then use the constructor with the arguments and the SetKnot() and SetCV() functions to fill in the arrays. (>=1)

◆ m_is_rat

int ON_NurbsSurface::m_is_rat

1 for rational B-splines. (Control vertices use homogeneous form.) 0 for non-rational B-splines. (Control verticies do not have a weight coordinate.)

◆ m_knot

double* ON_NurbsSurface::m_knot[2]

Knot vector. ( The knot vector has length m_order+m_cv_count-2. )

◆ m_knot_capacity

int ON_NurbsSurface::m_knot_capacity[2]

knot vector memory

If m_knot_capacity > 0, then m_knot[] is an array of at least m_knot_capacity doubles whose memory is managed by the ON_NurbsSurface class using rhmalloc(), onrealloc(), and rhfree(). If m_knot_capacity is 0 and m_knot is not nullptr, then m_knot[] is assumed to be big enough for any requested operation and m_knot[] is not deleted by the destructor.

◆ m_order

int ON_NurbsSurface::m_order[2]

order = degree+1 (>=2)