#include <opennurbs_nurbssurface.h>

Inheritance diagram for ON_NurbsCage:

Public Member Functions
	ON_NurbsCage ()

	ON_NurbsCage (int dim, bool is_rat, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)

	ON_NurbsCage (const ON_BoundingBox &bbox, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)

	ON_NurbsCage (const ON_3dPoint *box_corners, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)

	ON_NurbsCage (const ON_BezierCage &src)

	ON_NurbsCage (const ON_NurbsCage &src)

	~ON_NurbsCage ()

bool	ChangeDimension (int desired_dimension)

bool	ClampEnd (int dir, int end)

bool	Create (int dim, bool is_rat, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)

bool	Create (const ON_BoundingBox &bbox, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)
	Create a Nurbs volume with corners defined by a bounding box. More...

bool	Create (const ON_3dPoint *box_corners, int order0, int order1, int order2, int cv_count0, int cv_count1, int cv_count2)
	Create a nurbs volume from a 3d box More...

double *	CV (int i, int j, int k) const
	Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_NurbsCage::GetCV( ON_3dPoint& ) or ON_NurbsCage::GetCV( ON_4dPoint& ). More...

int	CVCount (int) const

int	CVCount (void) const

int	CVSize () const

ON::point_style	CVStyle () const
	Returns the style of control vertices in the m_cv array. More...

ON__UINT32	DataCRC (ON__UINT32 current_remainder) const override
	virtual ON_Object::DataCRC override More...

int	Degree (int dir) const

void	Destroy ()

void	DestroyRuntimeCache (bool bDelete=true) override
	Overrides the pure virtual ON_Object::DestroyRuntimeCache function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read. More...

int	Dimension () const override
	Overrides virtual ON_Geometry::Dimension function. Gets a tight bounding box with respect to the coordinate system specified by the frame parameter. More...

ON_Interval	Domain (int) const

void	Dump (ON_TextLog &text_log) const override
	Overrides the pure virtual ON_Object::Dump function. More...

void	EmergencyDestroy ()

bool	Evaluate (double r, double s, double t, int der_count, int v_stride, double v, int side=0, int hint=0) const
	Evaluate the NURBS cage More...

bool	Extend (int dir, const ON_Interval &domain)

bool	GetBBox (double boxmin, double boxmax, bool bGrowBox=false) const override
	virtual ON_Geometry GetBBox override More...

bool	GetCV (int i, int j, int k, ON::point_style, double *) const

bool	GetCV (int i, int j, int k, ON_3dPoint &) const

bool	GetCV (int i, int j, int k, ON_4dPoint &) const

bool	GetSpanVector (int dir, double *span_vector) const

bool	GetTightBoundingBox (class ON_BoundingBox &tight_bbox, bool bGrowBox=false, const class ON_Xform *xform=nullptr) const override
	virtual ON_Geometry GetTightBoundingBox override More...

double	GrevilleAbcissa (int dir, int gindex) const

bool	IncreaseDegree (int dir, int desired_degree)

bool	InsertKnot (int dir, double knot_value, int knot_multiplicity=1)

bool	IsClosed (int) const

bool	IsDeformable () const override
	Overrides virtual ON_Geometry::IsDeformable function. More...

ON_NurbsSurface *	IsoSurface (int dir, double c, ON_NurbsSurface *srf=0) const

bool	IsParallelogram (double tolerance) const

bool	IsPeriodic (int) const

bool	IsRational () const

bool	IsSingular (int) const

bool	IsValid (class ON_TextLog *text_log=nullptr) const override
	Tests an object to see if its data members are correctly initialized. More...

double	Knot (int dir, int knot_index) const

int	KnotCount (int dir) const

bool	MakeDeformable () override
	Overrides virtual ON_Geometry::MakeDeformable function. More...

bool	MakeNonRational ()

bool	MakeRational ()

ON::object_type	ObjectType () const override
	Overrides the pure virtual ON_Object::ObjectType function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read. More...

ON_NurbsCage &	operator= (const ON_NurbsCage &src)

ON_NurbsCage &	operator= (const ON_BezierCage &src)

int	Order (int dir) const

ON_3dPoint	PointAt (double r, double s, double t) const
	Evaluates bezer volume map. More...

ON_3dPoint	PointAt (ON_3dPoint rst) const
	Evaluates bezer volume map. More...

bool	Read (ON_BinaryArchive &archive) override
	Overrides the pure virtual ON_Object::Read function. Reads the definition of this class from an archive previously saved by ON_BezierVolue::Write. More...

bool	ReserveCVCapacity (int cv_capacity)
	Tools for managing CV and knot memory. More...

bool	ReserveKnotCapacity (int dir, int cv_capacity)

bool	Reverse (int dir)

bool	SetCV (int i, int j, int k, ON::point_style, const double *)

bool	SetCV (int i, int j, int k, const ON_3dPoint &point)

bool	SetCV (int i, int j, int k, const ON_4dPoint &hpoint)

bool	SetKnot (int dir, int knot_index, double knot_value)

bool	SetWeight (int i, int j, int k, double w)

unsigned int	SizeOf () const override
	Overrides the pure virtual ON_Object::SizeOf function. More...

int	SpanCount (int dir) const

bool	Transform (const ON_Xform &xform) override
	Overrides virtual ON_Geometry::Transform function. Transforms NURBS volume. More...

bool	Transpose (int dir0, int dir1)

bool	Trim (int dir, const ON_Interval &domain)

double	Weight (int i, int j, int k) const

bool	Write (ON_BinaryArchive &archive) const override
	Overrides the pure virtual ON_Object::Write function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read. More...

bool	ZeroCVs ()

Public Member Functions inherited from ON_Geometry
	ON_Geometry ()=default

	ON_Geometry (const ON_Geometry &)=default

	~ON_Geometry ()=default

ON_BoundingBox	BoundingBox () const
	Get object's 3d axis aligned bounding box. More...

virtual class ON_Brep *	BrepForm (class ON_Brep *brep=nullptr) const
	If possible, BrepForm() creates a brep form of the ON_Geometry. More...

virtual void	ClearBoundingBox ()
	Some objects cache bounding box information. If you modify an object, then call ClearBoundingBox() to inform the object that any cached bounding boxes are invalid. More...

virtual ON_COMPONENT_INDEX	ComponentIndex () const
	If this piece of geometry is a component in something larger, like an ON_BrepEdge in an ON_Brep, then this function returns the component index. More...

virtual bool	EvaluatePoint (const class ON_ObjRef &objref, ON_3dPoint &P) const
	Evaluate the location of a point from the object reference. More...

bool	GetBoundingBox (ON_BoundingBox &bbox, bool bGrowBox=false) const
	Get object's 3d axis aligned bounding box or the union of the input box with the object's bounding box. More...

bool	GetBoundingBox (ON_3dPoint &bbox_min, ON_3dPoint &bbox_max, bool bGrowBox=false) const
	Get corners of object's 3d axis aligned bounding box or the union of the input box with the object's bounding box. More...

virtual bool	HasBrepForm () const
	Query an object to see if it has an ON_Brep form. Result: Returns true if the virtual ON_Geometry::BrepForm can compute an ON_Brep representation of this object. More...

ON_Geometry &	operator= (const ON_Geometry &)=default

bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
	Rotates the object about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). More...

bool	Rotate (double rotation_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
	Rotates the object about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). More...

bool	Scale (double scale_factor)
	Scales the object by the specified facotor. The scale is centered at the origin. More...

virtual bool	SwapCoordinates (int i, int j)
	Swaps object coordinate values with indices i and j. More...

bool	Translate (const ON_3dVector &translation_vector)
	Translates the object along the specified vector. More...

Public Member Functions inherited from ON_Object
	ON_Object () ON_NOEXCEPT

	ON_Object (const ON_Object &)

virtual	~ON_Object ()

virtual ON_AggregateComponentStatus	AggregateComponentStatus () const
	Call whenever a component status setting is modifed by directly changing it on a component in a way that will result in any saved information about the parent object's aggretate component status becoming invalid. More...

bool	AttachUserData (class ON_UserData *pUserData)
	Attach user data to an object. More...

unsigned int	ClearAllComponentStates () const
	Set all active level component states to ON_ComponentStatus::NoneSet. More...

virtual unsigned int	ClearComponentStates (ON_ComponentStatus states_to_clear) const
	Clear the specified states on every component. More...

virtual unsigned int	ClearComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_clear) const
	Clear states on an individual component. More...

unsigned int	CopyUserData (const ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution)
	Expert user tool that copies user data items with positive values of ON_UserData.m_userdata_copycount from source_object to "this. More...

void	CopyUserData (const ON_Object &source_object)
	Calls CopyUserData(source_object,ON_Object::UserDataConflictResolution::source_object). More...

virtual bool	DeleteComponents (const ON_COMPONENT_INDEX *ci_list, size_t ci_count)
	Delete the portions of the object identified in ci_list[]. More...

bool	DetachUserData (class ON_UserData *pUserData)
	Remove user data from an object. More...

void	EmergencyDestroy ()
	Sets m_user_data_list = 0. More...

class ON_UserData *	FirstUserData () const
	User data is stored as a linked list of ON_UserData classes. FirstUserData gets the first item in the linked list. This is the most recent item attached using AttachUserData(). Remark: To iterate through all the user data on an object, call FirstUserData() and then use ON_UserData::Next() to traverse the list. More...

virtual unsigned int	GetComponentsWithSetStates (ON_ComponentStatus states_filter, bool bAllEqualStates, ON_SimpleArray< ON_COMPONENT_INDEX > &components) const

class ON_UserData *	GetUserData (const ON_UUID &userdata_uuid) const
	Get a pointer to user data. More...

bool	GetUserString (const wchar_t *key, ON_wString &string_value) const
	Get user string from the object. More...

int	GetUserStringKeys (ON_ClassArray< ON_wString > &user_string_keys) const
	Get a list of all user string keys on the object. More...

int	GetUserStrings (ON_ClassArray< ON_UserString > &user_strings) const
	Get a list of all user strings on the object. More...

bool	IsKindOf (const ON_ClassId *pClassId) const
	Low level tool to test if an object is derived from a specified class. More...

virtual void	MarkAggregateComponentStatusAsNotCurrent () const
	Call whenever a component status setting is modifed by directly changing it on a component in a way that will result in any saved information about the parent object's aggretate component status becoming invalid. More...

virtual void	MemoryRelocate ()
	The MemoryRelocate() function is called when an object's location in memory is changed. For example, if an object resides in a chunk of memory that is grown by calling a realloc that has to allocate a new chunk and copy the contents of the old chunk to the new chunk, then the location of the object's memory changes. In practice this happens when classes derived from ON_Object are stored in dynamic arrays, like the default implementation of ON_ObjectArray<>'s that use realloc to grow the dynamic array. More...

virtual ON_UUID	ModelObjectId () const
	All objects in an opennurbs model have an id ( ON_Layer.m_layer_id, ON_Font.m_font_id, ON_Material.m_material_id, ON_3dmObjectAttributes.m_uuid ). More...

unsigned int	MoveUserData (ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution, bool bDeleteAllSourceItems)
	Expert user tool that moves user data items from source_object to "this. More...

void	MoveUserData (ON_Object &source_object)
	Calls MoveUserData(source_object,ON_Object::UserDataConflictResolution::source_object,true). More...

ON_Object &	operator= (const ON_Object &)

void	PurgeUserData ()
	PurgeUserData() removes all user data from object. More...

virtual unsigned int	SetComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_set) const
	Set states on an individual component. More...

virtual unsigned int	SetComponentStatus (ON_COMPONENT_INDEX component_index, ON_ComponentStatus status_to_copy) const
	Copy status settings to an individual component. More...

bool	SetUserString (const wchar_t key, const wchar_t string_value)
	Attach a user string to the object. This information will perisist through copy construction, operator=, and file IO. More...

int	SetUserStrings (int count, const ON_UserString *user_strings, bool bReplace)
	Append entries to the user string list More...

void	TransformUserData (const class ON_Xform &xform)
	Objects derived from ON_Geometry must call TransformUserData() in their Transform() member function. More...

virtual bool	UpdateReferencedComponents (const class ON_ComponentManifest &source_manifest, const class ON_ComponentManifest &destination_manifest, const class ON_ManifestMap &manifest_map)
	Uses the destination_manifest to update references to other components. This is typically done when a component's references came from a "source" context and are being updated to the "destination" context. For example, inserting one model into another when index, id, and name conflicts need to be resolved at the time of insertion. More...

int	UserStringCount () const

Public Attributes
double *	m_cv

int	m_cv_capacity

int	m_cv_count [3]

int	m_cv_stride [3]

int	m_dim
	Implementation. More...

bool	m_is_rat

double *	m_knot [3]

int	m_knot_capacity [3]

int	m_order [3]

Additional Inherited Members
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 }
	When a userdata item is copied or moved from a source object to a destination object, the ON_Object::UserDataConflictResolution enum values specify how conficts are resolved. Remark: A userdata item "conflict" occurs when both the destination and source object have a user data item with the same value of ON_UserData::m_userdata_uuid. More...

Static Public Attributes inherited from ON_Geometry
static const ON_Geometry	Unset

Constructor & Destructor Documentation

◆ ON_NurbsCage() [1/6]

ON_NurbsCage::ON_NurbsCage ( )

◆ ON_NurbsCage() [2/6]

ON_NurbsCage::ON_NurbsCage	(	int	dim,
		bool	is_rat,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

◆ ON_NurbsCage() [3/6]

ON_NurbsCage::ON_NurbsCage	(	const ON_BoundingBox &	bbox,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

◆ ON_NurbsCage() [4/6]

ON_NurbsCage::ON_NurbsCage	(	const ON_3dPoint *	box_corners,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

◆ ON_NurbsCage() [5/6]

ON_NurbsCage::ON_NurbsCage ( const ON_BezierCage & src )

◆ ~ON_NurbsCage()

ON_NurbsCage::~ON_NurbsCage ( )

◆ ON_NurbsCage() [6/6]

ON_NurbsCage::ON_NurbsCage ( const ON_NurbsCage & src )

Member Function Documentation

◆ ChangeDimension()

bool ON_NurbsCage::ChangeDimension ( int desired_dimension )

◆ ClampEnd()

bool ON_NurbsCage::ClampEnd	(	int	dir,
		int	end
	)

◆ Create() [1/3]

bool ON_NurbsCage::Create	(	int	dim,
		bool	is_rat,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

◆ Create() [2/3]

bool ON_NurbsCage::Create	(	const ON_BoundingBox &	bbox,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

Create a Nurbs volume with corners defined by a bounding box.

Parameters

box_corners

[in] 8 points that define corners of the volume

      7______________6
      |\             |\
      | \            | \
      |  \ _____________\
      |   4          |   5
      |   |          |   |
      |   |          |   |</param>

Parameters

3	–\|-------—2 \| \ \| \ \| \ \|z \ \| y \ \| \ \| \0_____________\1 x

◆ Create() [3/3]

bool ON_NurbsCage::Create	(	const ON_3dPoint *	box_corners,
		int	order0,
		int	order1,
		int	order2,
		int	cv_count0,
		int	cv_count1,
		int	cv_count2
	)

Create a nurbs volume from a 3d box

Parameters

box_corners

[in] 8 points that define corners of the volume

      7______________6
      |\             |\
      | \            | \
      |  \ _____________\
      |   4          |   5
      |   |          |   |
      |   |          |   |</param>

Parameters

3	–\|-------—2 \| \ \| \ \| \ \|t \ \| s \ \| \ \| \0_____________\1 r

◆ CV()

double* ON_NurbsCage::CV	(	int	i,
		int	j,
		int	k
	)		const

Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_NurbsCage::GetCV( ON_3dPoint& ) or ON_NurbsCage::GetCV( ON_4dPoint& ).

Parameters

cv_index0	[in] (0 <= cv_index0 < m_order[0])
cv_index1	[in] (0 <= cv_index1 < m_order[1])

Returns: Pointer to control vertex.

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_NurbsCage::CVStyle ON_NurbsCage::GetCV ON_NurbsCage::Weight

◆ CVCount() [1/2]

int ON_NurbsCage::CVCount ( int ) const

◆ CVCount() [2/2]

int ON_NurbsCage::CVCount ( void ) const

◆ CVSize()

int ON_NurbsCage::CVSize ( ) const

◆ CVStyle()

ON::point_style ON_NurbsCage::CVStyle ( ) const

Returns the style of control vertices in the m_cv array.

Returns: table ON::not_rational m_is_rat is false ON::homogeneous_rational m_is_rat is true

◆ DataCRC()

ON__UINT32 ON_NurbsCage::DataCRC ( ON__UINT32 current_remainder ) const

overridevirtual

virtual ON_Object::DataCRC override

Reimplemented from ON_Object.

◆ Degree()

int ON_NurbsCage::Degree ( int dir ) const

◆ Destroy()

void ON_NurbsCage::Destroy ( )

◆ DestroyRuntimeCache()

void ON_NurbsCage::DestroyRuntimeCache ( bool bDelete = true )

overridevirtual

Overrides the pure virtual ON_Object::DestroyRuntimeCache function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read.

Parameters

bDelete [in] if true, the cache is deleted. If false, the pointers to the cache are set to zero; this is done when the cache memory was allocated from a pool that has been destroyed and an attempt to free the memory would result in a crash.

Returns: True if successful.

Reimplemented from ON_Object.

◆ Dimension()

int ON_NurbsCage::Dimension ( ) const

overridevirtual

Overrides virtual ON_Geometry::Dimension function. Gets a tight bounding box with respect to the coordinate system specified by the frame parameter.

Parameters

bbox	[in/out]
bGrowBox	[in] If true, the input bbox is grown to include this object's bounding box.
frame	[in] if not null, this specifies the coordinate system frame.

Returns: True if successful.

Reimplemented from ON_Geometry.

◆ Domain()

ON_Interval ON_NurbsCage::Domain ( int ) const

◆ Dump()

void ON_NurbsCage::Dump ( ON_TextLog & text_log ) const

overridevirtual

Overrides the pure virtual ON_Object::Dump function.

Parameters

text_log [in] A listing of the values of the members.

Reimplemented from ON_Object.

◆ EmergencyDestroy()

void ON_NurbsCage::EmergencyDestroy ( )

◆ Evaluate()

bool ON_NurbsCage::Evaluate	(	double	r,
		double	s,
		double	t,
		int	der_count,
		int	v_stride,
		double *	v,
		int	side = `0`,
		int *	hint = `0`
	)		const

Evaluate the NURBS cage

Parameters

r	[in]
s	[in]
t	[in] (r,s,t) = evaluation parameters
der_count	[in] (>= 0)
v_stride	[in] (>= m_dim)
v	[out] An array of length v_stride(der_count+1)(der_count+2)(der_count+3)/6. The evaluation results are stored in this array.

P = v[0],...,v[m_dim-1] Dr = v[v_stride],... Ds = v[2*v_stride],... Dt = v[3*v_stride],...

In general, Dr^i Ds^j Dt^k is returned in v[n],...,v[n+m_dim-1], where

d = (i+j+k) n = v_stride*( d*(d+1)*(d+2)/6 + (j+k)*(j+k+1)/2 + k)

Parameters

side	[in] specifies the span to use for the evaluation when r, s, or t is at a knot value. 0 = default 1 = from upper NE quadrant 2 = from upper NW quadrant 3 = from upper SW quadrant 4 = from upper SE quadrant 5 = from lower NE quadrant 6 = from lower NW quadrant 7 = from lower SW quadrant 8 = from lower SE quadrant
hint	[in/out] If a bunch of evaluations will be performed that tend to occur in the same region, then hint[3] can be used to speed the search for the evaluation span. The input value is used as a search hint and the output value records the span used for that evaluation.

Returns: True if successful

@verbatim
    int der_count = 2;
    int v_stride = dim;
    double v[v_stride*(der_count+1)*(der_count+2)*(der_count+3)/6];
    int side = 0;
    int hint[3]; hint[0] = 0; hint[1] = 0; hint[2] = 0;
    bool rc = cage.Evaluate(r,s,t,der_count,v_stride,v,side,hint);
    ON_3dPoint P = v;
    // first order partial derivatives
    ON_3dVector Dr = v + v_stride;
    ON_3dVector Ds = v + 2*v_stride;
    ON_3dVector Dt = v + 3*v_stride;
    // second order partial derivatives
    ON_3dVector Drr = v + 4*v_stride;
    ON_3dVector Drs = v + 5*v_stride;
    ON_3dVector Drt = v + 6*v_stride;
    ON_3dVector Dss = v + 7*v_stride;
    ON_3dVector Dst = v + 8*v_stride;
    ON_3dVector Dtt = v + 8*v_stride;
@endverbatim

See also: ON_NurbsCage::PointAt

◆ Extend()

bool ON_NurbsCage::Extend	(	int	dir,
		const ON_Interval &	domain
	)

◆ GetBBox()

bool ON_NurbsCage::GetBBox	(	double *	boxmin,
		double *	boxmax,
		bool	bGrowBox = `false`
	)		const

overridevirtual

virtual ON_Geometry GetBBox override

Reimplemented from ON_Geometry.

◆ GetCV() [1/3]

bool ON_NurbsCage::GetCV	(	int	i,
		int	j,
		int	k,
		ON::point_style	,
		double *
	)		const

◆ GetCV() [2/3]

bool ON_NurbsCage::GetCV	(	int	i,
		int	j,
		int	k,
		ON_3dPoint &
	)		const

◆ GetCV() [3/3]

bool ON_NurbsCage::GetCV	(	int	i,
		int	j,
		int	k,
		ON_4dPoint &
	)		const

◆ GetSpanVector()

bool ON_NurbsCage::GetSpanVector	(	int	dir,
		double *	span_vector
	)		const

◆ GetTightBoundingBox()

bool ON_NurbsCage::GetTightBoundingBox	(	class ON_BoundingBox &	tight_bbox,
		bool	bGrowBox = `false`,
		const class ON_Xform *	xform = `nullptr`
	)		const

overridevirtual

virtual ON_Geometry GetTightBoundingBox override

Reimplemented from ON_Geometry.

◆ GrevilleAbcissa()

double ON_NurbsCage::GrevilleAbcissa	(	int	dir,
		int	gindex
	)		const

◆ IncreaseDegree()

bool ON_NurbsCage::IncreaseDegree	(	int	dir,
		int	desired_degree
	)

◆ InsertKnot()

bool ON_NurbsCage::InsertKnot	(	int	dir,
		double	knot_value,
		int	knot_multiplicity = `1`
	)

◆ IsClosed()

bool ON_NurbsCage::IsClosed ( int ) const

◆ IsDeformable()

bool ON_NurbsCage::IsDeformable ( ) const

overridevirtual

Overrides virtual ON_Geometry::IsDeformable function.

Returns: True because a NURBS volume can be accuratly modified with "squishy" transformations like projections, shears, an non-uniform scaling.

Reimplemented from ON_Geometry.

◆ IsoSurface()

ON_NurbsSurface* ON_NurbsCage::IsoSurface	(	int	dir,
		double	c,
		ON_NurbsSurface *	srf = `0`
	)		const

◆ IsParallelogram()

bool ON_NurbsCage::IsParallelogram ( double tolerance ) const

Returns: True if the cage is a parallelogram within the tolerance. This means the cage can be used as a starting point for cage deformations.

◆ IsPeriodic()

bool ON_NurbsCage::IsPeriodic ( int ) const

◆ IsRational()

bool ON_NurbsCage::IsRational ( ) const

◆ IsSingular()

bool ON_NurbsCage::IsSingular ( int ) const

◆ IsValid()

bool ON_NurbsCage::IsValid ( class ON_TextLog * text_log = nullptr ) const

overridevirtual

Tests an object to see if its data members are correctly initialized.

Parameters

text_log	[in] if the object is not valid and text_log is not nullptr, then a brief englis description of the reason the object is not valid is appened to the log. The information appended to text_log is suitable for
low	level debugging purposes by programmers and is not intended to be useful as a high level user interface tool.

Returns: table true object is valid false object is invalid, uninitialized, etc.

Reimplemented from ON_Geometry.

◆ Knot()

double ON_NurbsCage::Knot	(	int	dir,
		int	knot_index
	)		const

Parameters

dir	[in] 0 = "r", 1 = "s", 2 = "t"
knot_index	[in] 0 <= knot_index < KnotCount(dir)

Returns: Value of knot or ON_UNSET_VALUE if input parameters are not valid.

◆ KnotCount()

int ON_NurbsCage::KnotCount ( int dir ) const

◆ MakeDeformable()

bool ON_NurbsCage::MakeDeformable ( )

overridevirtual

Overrides virtual ON_Geometry::MakeDeformable function.

Returns: True because NURBS volumes are deformable.

Reimplemented from ON_Geometry.

◆ MakeNonRational()

bool ON_NurbsCage::MakeNonRational ( )

◆ MakeRational()

bool ON_NurbsCage::MakeRational ( )

◆ ObjectType()

ON::object_type ON_NurbsCage::ObjectType ( ) const

overridevirtual

Overrides the pure virtual ON_Object::ObjectType function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read.

Parameters

archive [in] target archive

Returns: True if successful.

Reimplemented from ON_Object.

◆ operator=() [1/2]

ON_NurbsCage& ON_NurbsCage::operator= ( const ON_NurbsCage & src )

◆ operator=() [2/2]

ON_NurbsCage& ON_NurbsCage::operator= ( const ON_BezierCage & src )

◆ Order()

int ON_NurbsCage::Order ( int dir ) const

◆ PointAt() [1/2]

ON_3dPoint ON_NurbsCage::PointAt	(	double	r,
		double	s,
		double	t
	)		const

Evaluates bezer volume map.

Parameters

rst [in]

Returns: Value of the nurbs volume map at (r,s,t).

◆ PointAt() [2/2]

ON_3dPoint ON_NurbsCage::PointAt ( ON_3dPoint rst ) const

Evaluates bezer volume map.

Parameters

rst [in]

Returns: Value of the nurbs volume map at (rst.x,rst.y,rst.z).

◆ Read()

bool ON_NurbsCage::Read ( ON_BinaryArchive & archive )

overridevirtual

Overrides the pure virtual ON_Object::Read function. Reads the definition of this class from an archive previously saved by ON_BezierVolue::Write.

Parameters

archive [in] target archive

Returns: True if successful.

Reimplemented from ON_Object.

◆ ReserveCVCapacity()

bool ON_NurbsCage::ReserveCVCapacity ( int cv_capacity )

Tools for managing CV and knot memory.

cv_capacity - [in] number of doubles to reserve

◆ ReserveKnotCapacity()

bool ON_NurbsCage::ReserveKnotCapacity	(	int	dir,
		int	cv_capacity
	)

◆ Reverse()

bool ON_NurbsCage::Reverse ( int dir )

◆ SetCV() [1/3]

bool ON_NurbsCage::SetCV	(	int	i,
		int	j,
		int	k,
		ON::point_style	,
		const double *
	)

◆ SetCV() [2/3]

bool ON_NurbsCage::SetCV	(	int	i,
		int	j,
		int	k,
		const ON_3dPoint &	point
	)

◆ SetCV() [3/3]

bool ON_NurbsCage::SetCV	(	int	i,
		int	j,
		int	k,
		const ON_4dPoint &	hpoint
	)

◆ SetKnot()

bool ON_NurbsCage::SetKnot	(	int	dir,
		int	knot_index,
		double	knot_value
	)

Parameters

dir	[in] 0 = "r", 1 = "s", 2 = "t"
knot_index	[in] 0 <= knot_index < KnotCount(dir)
knot_value	[in]

Returns: True if dir and knot_index parameters were valid and knot value was set.

◆ SetWeight()

bool ON_NurbsCage::SetWeight	(	int	i,
		int	j,
		int	k,
		double	w
	)

◆ SizeOf()

unsigned int ON_NurbsCage::SizeOf ( ) const

overridevirtual

Overrides the pure virtual ON_Object::SizeOf function.

Returns: An estimate of the amount of memory used by the class and its members.

Reimplemented from ON_Object.

◆ SpanCount()

int ON_NurbsCage::SpanCount ( int dir ) const

◆ Transform()

bool ON_NurbsCage::Transform ( const ON_Xform & xform )

overridevirtual

Overrides virtual ON_Geometry::Transform function. Transforms NURBS volume.

Parameters

xform [in]

Returns: true if successful.

Reimplemented from ON_Geometry.

◆ Transpose()

bool ON_NurbsCage::Transpose	(	int	dir0,
		int	dir1
	)

◆ Trim()

bool ON_NurbsCage::Trim	(	int	dir,
		const ON_Interval &	domain
	)

◆ Weight()

double ON_NurbsCage::Weight	(	int	i,
		int	j,
		int	k
	)		const

◆ Write()

bool ON_NurbsCage::Write ( ON_BinaryArchive & archive ) const

overridevirtual

Overrides the pure virtual ON_Object::Write function. Saves the definition of this class in serial binary form that can be read by ON_BezierVolue::Read.

Parameters

archive [in] target archive

Returns: True if successful.

Reimplemented from ON_Object.

◆ ZeroCVs()

bool ON_NurbsCage::ZeroCVs ( )

Member Data Documentation

◆ m_cv

double* ON_NurbsCage::m_cv

◆ m_cv_capacity

int ON_NurbsCage::m_cv_capacity

◆ m_cv_count

int ON_NurbsCage::m_cv_count[3]

◆ m_cv_stride

int ON_NurbsCage::m_cv_stride[3]

◆ m_dim

int ON_NurbsCage::m_dim

Implementation.

◆ m_is_rat

bool ON_NurbsCage::m_is_rat

◆ m_knot

double* ON_NurbsCage::m_knot[3]

◆ m_knot_capacity

int ON_NurbsCage::m_knot_capacity[3]

◆ m_order

int ON_NurbsCage::m_order[3]

Public Member Functions

Public Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ ON_NurbsCage() [1/6]

◆ ON_NurbsCage() [2/6]

◆ ON_NurbsCage() [3/6]

◆ ON_NurbsCage() [4/6]

◆ ON_NurbsCage() [5/6]

◆ ~ON_NurbsCage()

◆ ON_NurbsCage() [6/6]

Member Function Documentation

◆ ChangeDimension()

◆ ClampEnd()

◆ Create() [1/3]

◆ Create() [2/3]

◆ Create() [3/3]

◆ CV()

◆ CVCount() [1/2]

◆ CVCount() [2/2]

◆ CVSize()

◆ CVStyle()

◆ DataCRC()

◆ Degree()

◆ Destroy()

◆ DestroyRuntimeCache()

◆ Dimension()

◆ Domain()

◆ Dump()

◆ EmergencyDestroy()

◆ Evaluate()

◆ Extend()

◆ GetBBox()

◆ GetCV() [1/3]

◆ GetCV() [2/3]

◆ GetCV() [3/3]

◆ GetSpanVector()

◆ GetTightBoundingBox()

◆ GrevilleAbcissa()

◆ IncreaseDegree()

◆ InsertKnot()

◆ IsClosed()

◆ IsDeformable()

◆ IsoSurface()

◆ IsParallelogram()

◆ IsPeriodic()

◆ IsRational()

◆ IsSingular()

◆ IsValid()

◆ Knot()

◆ KnotCount()

◆ MakeDeformable()

◆ MakeNonRational()

◆ MakeRational()

◆ ObjectType()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ Order()

◆ PointAt() [1/2]

◆ PointAt() [2/2]

◆ Read()

◆ ReserveCVCapacity()

◆ ReserveKnotCapacity()

◆ Reverse()

◆ SetCV() [1/3]

◆ SetCV() [2/3]

◆ SetCV() [3/3]

◆ SetKnot()

◆ SetWeight()

◆ SizeOf()

◆ SpanCount()

◆ Transform()

◆ Transpose()

◆ Trim()

◆ Weight()

◆ Write()

◆ ZeroCVs()

Member Data Documentation

◆ m_cv

◆ m_cv_capacity