Defines Rational Line B-Representation. [詳解]

MGRLBRep の継承関係図

公開メンバ関数
	MGRLBRep ()
	Default(dummy) constructor. [詳解]

	MGRLBRep (const MGKnotVector &t, const MGBPointSeq &bcoef, int homogeneous=1)

	MGRLBRep (const MGKnotVector &t, const MGBPointSeq &bcoef, const std::vector< double > &weights)
	Construct Line NURBS, providing all the member data. [詳解]

	MGRLBRep (const MGEllipse &ellipse)
	Construct ellipse NURBS. [詳解]

	MGRLBRep (const MGPosition &P0, const MGVector &T0, const MGPosition &P, const MGPosition &P2, const MGVector &T2)
	Original ellipse. [詳解]

	MGRLBRep (const MGRLBRep &old_brep, const MGKnotVector &t)

	MGRLBRep (const MGLBRep &brep, int homogeneous=0)
	** Conversion Constructor.** [詳解]

	MGRLBRep (const MGRLBRep &old_brep, const MGKnotArray &knots)
	Gets new NURBS by adding knots to an original NURBS. [詳解]

	MGRLBRep (const MGRLBRep &brep1, int continuity, int which, const MGRLBRep &brep2)
	Gets new NURBS by connecting two NURBS to one. [詳解]

	MGRLBRep (double t1, double t2, const MGRLBRep &old_brep, int multiple=0)

	MGRLBRep (int dim, const MGRLBRep &lbrep, int start1=0, int start2=0)

	MGRLBRep (double a, double b, double angle1, double angle2)

MGRLBRep &	operator= (const MGGel &gel2)

MGRLBRep &	operator= (const MGRLBRep &gel2)

MGRLBRep	operator+ (const MGVector &) const
	Transformation object construction. [詳解]

MGRLBRep	operator- (const MGVector &) const

MGRLBRep	operator* (double) const

MGRLBRep	operator* (const MGMatrix &) const

MGRLBRep	operator* (const MGTransf &) const

MGRLBRep &	operator+= (const MGVector &v)
	Object transformation. [詳解]

MGRLBRep &	operator-= (const MGVector &v)

MGRLBRep &	operator*= (double scale)

MGRLBRep &	operator*= (const MGMatrix &mat)

MGRLBRep &	operator*= (const MGTransf &tr)

bool	operator== (const MGRLBRep &gel2) const
	comparison [詳解]

bool	operator== (const MGGel &gel2) const
	Comparison. [詳解]

bool	operator< (const MGRLBRep &gel2) const

bool	operator< (const MGGel &gel2) const

bool	operator== (const MGLBRep &gel2) const

void	approximate_as_LBRep (MGLBRep &lb, int ordr=0, int parameter_normalization=0, bool neglectMulti=false) const

int	bdim () const
	Returns NURBS Dimension. [詳解]

MGBox	box_limitted (const MGInterval &l) const

MGBox	box_unlimit () const
	Return minimum box that includes the whole line. [詳解]

void	change_range (double t1, double t2)

MGRLBRep &	change_dimension (int dim, int start1=0, int start2=0)
	Changing this object's space dimension. [詳解]

MGRLBRep &	change_order (int order)

double &	coef (int i, int j)

double	coef (int i, int j) const

MGVector	coef (int i) const

const double *	coef_data (int i=0, int j=0) const
	Returns a pointer to the line b-coef data. [詳解]

void	connect (int continuity, int which, const MGRLBRep &brep2)

int	continuity (const MGRLBRep &brep2, int &which, double &ratio) const

MGRLBRep &	coordinate_exchange (int i, int j)

MGRLBRep *	clone () const

MGCurve *	copy_as_nurbs () const

MGRLBRep *	copy_change_dimension (int sdim, int start1=0, int start2=0) const

MGCurve *	copy_limitted (const MGInterval &prange) const

int	divide_multi (MGPvector< MGCurve > &crv_list, int multiplicity=-1) const

void	display_control_polygon (mgSysGL &sgl) const
	Display control polygons using mgVBO::MGDrawPointSeq() [詳解]

void	draw_2D (void(moveto)(int, int), void(lineto)(int, int), const double wind[4], int ynum) const

void	draw_2D (void(moveto)(float, float), void(lineto)(float, float), const double wind[4], int ynum) const

void	draw_2D (void(moveto)(double, double), void(lineto)(double, double), const double wind[4], int ynum) const

void	draw_1D (void(moveto)(int, int), void(lineto)(int, int), int coordinate, bool t_is_x, const double wind[4], int ynum) const

void	draw_1D (void(moveto)(float, float), void(lineto)(float, float), int coordinate, bool t_is_x, const double wind[4], int ynum) const

void	draw_1D (void(moveto)(double, double), void(lineto)(double, double), int coordinate, bool t_is_x, const double wind[4], int ynum) const

void	drawSE (mgVBO &vbo, double span_length, double t0, double t1) const
	Draw this curve into vbo, approximating with polyline. [詳解]

MGVector	eval (double t, int nderiv=0, int left=0) const

void	eval_all (double tau, MGPosition &P, MGVector &V1, MGVector &V2) const

void	eval_all (double tau, int nderiv, double *deriv, int left=0) const

void	extend (double length, bool start=false)

MGRLBRep &	extend (int start, double length, double dk=0.)

MGRLBRep &	extend_with_parameter (double tau, double dk)
	Extrapolate the curve by the parameter value. [詳解]

bool	get_control_points (MGBPointSeq &cpoints) const

const MGLBRep &	homogeneous () const
	Return homogeneous Line B-Representation of the rational B-Spline. [詳解]

MGLBRep &	homogeneous ()

long	identify_type () const
	Return This object's typeID. [詳解]

int	intersect_dnum () const
	Provide divide number of curve span for function intersect. [詳解]

bool	is_coplanar (const MGCurve &curve2, MGPlane &plane) const

bool	is_planar (MGPlane &plane) const

MGCCisect_list	isect (const MGCurve &) const

MGCCisect_list	isect (const MGStraight &curve2) const

MGCCisect_list	isect (const MGSurfCurve &curve2) const

MGCCisect_list	isect (const MGBSumCurve &curve2) const

MGCSisect_list	isect (const MGSurface &surf) const
	Intersection of Spline and Surface. [詳解]

MGCSisect_list	isect (const MGPlane &surf) const

MGCSisect_list	isect (const MGSphere &surf) const

MGCSisect_list	isect (const MGCylinder &surf) const

MGCSisect_list	isect (const MGSBRep &surf) const

MGCSisect_list	isect (const MGRSBRep &surf) const

MGCSisect_list	isect (const MGBSumSurf &surf) const

MGCParam_list	isect_2D (const MGStraight &sl, int coordinate=0) const

MGCParam_list	isect_3D (const MGPlane &pl, int coordinate=0) const

double &	knot (int i)

double	knot (int i) const

const double *	knot_data () const
	Returns a pointer to the knot vector data. [詳解]

const MGKnotVector &	knot_vector () const

MGKnotVector &	knot_vector ()

MGRLBRep &	limit (const MGInterval &itvl)

const MGBPointSeq &	line_bcoef () const

MGBPointSeq &	line_bcoef ()

void	negate ()
	Change direction of the line. [詳解]

double	negate_param (double t) const
	Obtain parameter value if this curve is negated by "negate()". [詳解]

MGBPointSeq	non_homogeneous_bcoef () const

int	non_rational () const

int	order () const
	Returns the order. [詳解]

double	param_e () const
	Return ending parameter value. [詳解]

double	param_normalize (double t) const

double	param_s () const
	Return starting parameter value. [詳解]

MGRLBRep *	part (double t1, double t2, int multiple=0) const

MGPosition_list	perps (const MGCurve &crv2) const

MGPosition_list	perps (const MGStraight &crv2) const

int	planar (MGPlane &plane, MGStraight &line, MGPosition &point) const

int	reduce (int ndec)

MGRLBRep &	refine (const MGKnotVector &t)

std::auto_ptr< MGRLBRep >	rebuild_with_new_knot_configuration (double error, int parameter_normalization) const
	Rebuild this NURBS by reconstructing new knot configuration. [詳解]

void	remove_knot ()

int	sdim () const
	Returns the space dimension. [詳解]

MGSurface *	sweep (const MGUnit_vector &uvec, double start_dist, double end_dist) const

MGCURVE_TYPE	type () const

MGCurve &	unlimit ()

MGCurve &	unlimit_end ()

MGCurve &	unlimit_start ()

int	out_to_IGES (MGIgesOfstream &igesfile, int SubordinateEntitySwitch=0) const
	Debug Function. [詳解]

std::ostream &	out (std::ostream &) const
	Output virtual function. [詳解]

基底クラス MGCurve に属する継承公開メンバ関数
	MGCurve ()
	Void constructor(初期化なしでオブジェクトを作成する。). [詳解]

	MGCurve (const MGCurve &curve)
	Copy constructor. [詳解]

virtual	~MGCurve ()
	Virtual Destructor. [詳解]

virtual MGCurve &	operator= (const MGCurve &gel2)
	Assignment. [詳解]

virtual bool	operator== (const MGCompositeCurve &crv) const
	Comparison. [詳解]

virtual bool	operator== (const MGTrimmedCurve &crv) const

void	arrow (double t, MGPosition data[4]) const
	Generate arrow data of the tangent at the parameter value t of the curve. [詳解]

virtual MGPosition	center () const
	Obtain ceter coordinate of the geometry. [詳解]

virtual MGPosition	center_param () const
	Obtain ceter parameter value of the geometry. [詳解]

virtual double	closest (const MGPosition &point) const
	Compute the closest point parameter value of this curve from a point. [詳解]

virtual double	closest2D (const MGPosition &point) const
	Compute the nearest point from input point on this curve's (x,y) 2D part. [詳解]

virtual MGPosition	closest (const MGCurve &curve2) const
	Compute the closest point parameter value pair of this curve and curve2. [詳解]

bool	cn_continuity (int n) const
	Test if this curve is cn continuous. [詳解]

virtual int	common (const MGCurve &curve2, std::vector< double > &vecComSpan, MGCCisect_list &isect) const
	Test if this has a common line part with the 2nd curve. [詳解]

virtual int	common (const MGCurve &curve2, std::vector< double > &vecComSpan) const
	Test if this has a common line part with the 2nd curve. [詳解]

virtual void	convert_to_Bezier (MGLBRep &bezier) const
	Convert this curve to Bezier curve. [詳解]

virtual double	curvature (double) const
	Return curvature at the given point. [詳解]

MGCurve *	curve ()
	Return curve pointer if this MGGel is an MGCurve, else return null. [詳解]

const MGCurve *	curve () const

virtual double	curvilinear_integral (double t1, double t2) const
	Compute curvilinear integral of the 1st two coordinates. [詳解]

virtual double	curvilinear_integral () const

virtual double	deriv_length () const
	Compute mean length of 1st derivative vector. [詳解]

MGUnit_vector	direction (const MGPosition &param) const
	Compute direction unit vector of the geometry. [詳解]

virtual MGUnit_vector	direction (double) const
	Return tangent vector at the given point. [詳解]

virtual void	display_arrows (mgSysGL &sgl) const

virtual void	display_break_points (mgSysGL &sgl) const

virtual void	display_curvatures (mgSysGL &sgl, double scale, int density, bool use_radius) const

int	divide_number () const
	get the a divide number for offset, intersection, or others. [詳解]

virtual void	drawWire (mgVBO &vbo, double span_length, int line_density=1) const
	Draw this curve into vbo, approximating with polyline. [詳解]

virtual MGPosition	end_point () const
	Return end point(終点を返却する) [詳解]

virtual MGVector	eval_deriv (double) const
	Compute 1st derivative. [詳解]

void	eval_discrete_deviation (const MGCurve &curve2, std::vector< MGPosition > &sts, int npoint=20, double tolerance=0.1) const
	Evaluate deviations of two curves(this and curve2) at npoint discrete points. [詳解]

virtual void	eval_line (const MGNDDArray &tau, MGBPointSeq &value) const
	Evaluate line data at data point tau. [詳解]

virtual MGPosition	eval_position (double) const
	Compute positional data. [詳解]

MGVector	evaluate (const MGPosition &t, const int *nderiv=0) const
	Evaluate n'th derivative data. n=0 means positional data evaluation. [詳解]

virtual void	Frenet_frame2 (double t, MGVector &V2, MGVector &T, MGVector &N, MGVector &B) const
	Compute Frenet_frame, curvature and torsion in 3D space. [詳解]

virtual void	Frenet_frame (double t, MGUnit_vector &T, MGUnit_vector &N, MGUnit_vector &B, double &curvature, double &torsion) const
	Compute Frenet_frame, curvature and torsion in 3D space. [詳解]

double	get_average_tangent_length () const
	Get average tangent length. [詳解]

void	getParamsC0Continuity (std::vector< double > &param) const

bool	has_same_direction_at (double s, const MGCurve &curve2, double t) const
	Test if this curve has the same direction with curve2. [詳解]

virtual bool	in_range (double t) const
	Test if input parameter value is inside parameter range of the line. [詳解]

bool	in_range (const MGPosition &t) const
	Test if input parameter value is inside parameter range of the line. [詳解]

MGCCisect_list	intersect_brute_force (const MGCurve &) const
	Curve to curve intersection. [詳解]

virtual MGCCisect_list	intersect (const MGCurve &) const
	Curve to curve intersection. [詳解]

MGisects	intersection (const MGObject &obj2) const
	Compute the intersections of two objects. [詳解]

MGisects	intersection (const MGCurve &obj2) const

MGisects	intersection (const MGFSurface &obj2) const

MGisects	intersection (const MGSurface &obj2) const

MGisects	intersection (const MGFace &obj2) const

MGisects	intersection (const MGShell &obj2) const

MGCSisect_list	intersect_with_plane (const MGPlane &surf) const
	intersections with a plane. [詳解]

virtual MGCCisect_list	isect (const MGRLBRep &curve2) const

virtual MGCCisect_list	isect (const MGEllipse &curve2) const

virtual MGCCisect_list	isect (const MGLBRep &curve2) const

MGCCisect_list	isect (const MGTrimmedCurve &curve2) const

MGCCisect_list	isect (const MGCompositeCurve &curve2) const

MGCSisect_list	isect (const MGFSurface &fs) const

virtual MGCSisect_list	isect (const MGFace &) const

MGCFisect_vector	isect (const MGShell &shl) const
	Intersection of a shell and a curve. [詳解]

MGCParam_list	isect_1D (double f, int coordinate=0) const
	Compute intersection point of 1D sub curve of original curve. [詳解]

virtual const MGLBRep *	is_Bezier (int ordr=0) const
	Test if this is a Bezier Curve. [詳解]

bool	is_closed () const
	Test if this is a closed curve. [詳解]

bool	is_closedWithError (double err) const
	Terst if this is a closed curve, given the tolerance. [詳解]

virtual bool	is_startpoint_parameter (double t) const
	Test if the input parameter t is the start point parameter or not. [詳解]

virtual bool	is_endpoint_parameter (double t) const
	Test if the input parameter t is the start point parameter or not. [詳解]

bool	is_perpendicular (const MGPosition &P, double t) const
	Test if the vector from P to this->eval(t) is perpendicular. [詳解]

virtual bool	is_linear (MGStraight &straight) const
	Test if this cure is linear or not, that is, is straight or not. [詳解]

MGKnotVector &	knot_vector ()
	Returns the knot vector of the curve. [詳解]

virtual double	length (double t1, double t2) const
	Cmpute curve length of the interval. [詳解]

virtual double	length () const
	Compute whole curve length. [詳解]

virtual double	length_param (double t, double len) const
	Inverse function of length. [詳解]

MGCurve &	limit (double t0, double t1)

int	manifold_dimension () const
	Return manifold dimension, 0:point, 1:curve, 2:surface. [詳解]

void	negate_transform (MGGeometry &boundary) const

virtual MGPvector< MGCurve >	offset (double ofs_value, const MGVector &norm_vector=mgNULL_VEC) const
	Offset of costant deviation from this curve. [詳解]

virtual MGPvector< MGCurve >	offset (const MGLBRep &ofs_value_lb, const MGVector &norm_vector=mgNULL_VEC) const
	Offset of variable deviation from this curve. [詳解]

virtual MGLBRep	offset_c2 (double ofs_value, const MGVector &norm_vector=mgNULL_VEC) const
	Costant offset curve of C2 continuous curve. [詳解]

virtual MGLBRep	offset_c2 (const MGLBRep &ofs_value_lb, const MGVector &norm_vector=mgNULL_VEC) const
	Valuable offset curve of C2 continuous curve. [詳解]

virtual bool	on (const MGPosition &point, double &t) const
	Test if given point is on the curve or not. [詳解]

bool	on (const MGPosition &P, MGPosition &t) const
	Test if given point is on this geometry or not. [詳解]

virtual double	param (const MGPosition &) const
	Compute parameter value of given point. [詳解]

virtual double	param_error () const
	Obtain parameter space error. [詳解]

virtual MGInterval	param_range () const
	Return parameter range of the curve(パラメータ範囲を返す). [詳解]

double	param_round_into_range (double t) const
	Round the parameter t into this parameter range. [詳解]

MGBox	parameter_range () const
	Return parameter range of the geometry(パラメータ範囲を返す). [詳解]

double	param_se (double t) const
	Return starting or ending parameter value that is nearer to the param t. [詳解]

virtual double	param_span () const
	Compute parameter span length. [詳解]

virtual int	perp_guess (double t0, double t1, const MGPosition &P, double tg, double &t) const
	Return perpendicular point from a point P. [詳解]

virtual int	perp_guess (double s0, double s1, const MGCurve &curve2, double t0, double t1, double sg, double tg, MGPosition &st) const
	Return perpendicular points of two curves. [詳解]

virtual int	perp_point (const MGPosition &p, double &t, const double *g=0) const
	Compute a foot point of the perpendicular line from point p to the curve. [詳解]

MGPosition_list	perpendiculars (const MGCurve &crv) const
	Compute all the perpendicular points of this curve and the second one. [詳解]

virtual MGCParam_list	perps (const MGPosition &P) const
	Compute all foot points of the perpendicular line from point to the curve. [詳解]

virtual MGPosition_list	perps (const MGRLBRep &crv2) const

virtual MGPosition_list	perps (const MGEllipse &crv2) const

virtual MGPosition_list	perps (const MGLBRep &crv2) const

virtual MGPosition_list	perps (const MGSurfCurve &crv2) const

virtual MGPosition_list	perps (const MGBSumCurve &crv2) const

MGPosition_list	perps (const MGCompositeCurve &crv2) const

MGPosition_list	perps (const MGTrimmedCurve &crv2) const

virtual MGPosition	pick_closest (const MGStraight &sl) const
	Compute the parameter value of the closest point from the straight to this object. [詳解]

virtual void	polygonize (double error, MGLBRep &lb2) const
	Approximate this curve by a polyline and output to lb2. [詳解]

virtual int	project (const MGFSurface &surf, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec) const
	Obtain the projected curve of a curve onto the surface. [詳解]

virtual double	range (double t) const
	Round t into curve's parameter range. [詳解]

MGPosition	range (const MGPosition &t) const
	Round t into geometry's parameter range. [詳解]

std::auto_ptr< MGCurve >	rebuild (int how_rebuild=1, int parameter_normalization=2, double tol=-1., int ordr=0, const double *param_range=0) const
	Rebuild this curve. [詳解]

virtual MGCurve &	rotate_self (const MGVector &v, double, const MGPosition &=mgORIGIN)
	Update curve by rotating around straight line. [詳解]

std::auto_ptr< MGLBRep >	scalePolar (double angleBase, double angle1, double angle2) const
	Obtain polar-rotated curve of this. [詳解]

virtual MGPosition	start_point () const
	Return start point(始点を返却する). [詳解]

virtual int	tangent_guess (double t0, double t1, const MGPosition &P, double tg, double &t) const
	Return tangent point from a point P, given guess starting paramter tg. [詳解]

void	trim_end (double t)
	Trim the end part of this curve at the parameter t. [詳解]

void	trim_start (double t)
	Trim the start part of this curve at the parameter t. [詳解]

void	trim_start_and_end (double ts, double te)
	Trim the start part and end part of this curve at the parameter ts and te. [詳解]

virtual std::auto_ptr< MGLBRep >	PolarCoordinatesLBRep () const
	Obtain polar coordinates system MGLBRep of this curve. [詳解]

基底クラス MGGeometry に属する継承公開メンバ関数
	MGGeometry ()
	Void constructor(初期化なしでオブジェクトを作成する。) [詳解]

	MGGeometry (const MGGeometry &geo2)
	Copy constructor. [詳解]

virtual	~MGGeometry ()
	Virtual Destructor. [詳解]

virtual MGGeometry &	operator= (const MGGeometry &gel2)

virtual MGGeometry *	geometry ()
	Return MGGeometry pointer if this MGGel is an MGGeometry, else return null. [詳解]

virtual const MGGeometry *	geometry () const

const MGBox &	box () const
	Return minimum box that includes whole of the geometry. [詳解]

virtual void	draw3DVertex (mgVBO &vbo) const

bool	is_null () const
	Test if this is null. [詳解]

double	parameter_error () const
	Error allowed in the parameter space of the geometry. [詳解]

基底クラス MGObject に属する継承公開メンバ関数
	MGObject ()
	Void constructor(初期化なしでオブジェクトを作成する。) [詳解]

	MGObject (const MGObject &obj2)
	Copy constructor. [詳解]

virtual	~MGObject ()
	Virtual Destructor. [詳解]

virtual MGObject &	operator= (const MGObject &obj2)

MGAppearance *	appearance ()

const MGAppearance *	appearance () const

virtual void	shade (mgVBO &vbo, const MGDrawParam &para, mgVBO::ELEMENT_TARGET target=mgVBO::SHADING) const
	Shade the object in world coordinates. [詳解]

MGAppearance *	ensure_appearance ()

virtual void	make_display_list (MGCL::VIEWMODE vmode=MGCL::DONTCARE) const
	Make a display list of this gel. [詳解]

bool	has_common (const MGObject &obj2) const

const MGObject *	includes_object () const
	Test if this gel includes an object. [詳解]

MGObject *	includes_object ()
	Test if this gel includes an object. [詳解]

virtual MGisects	intersection (const MGPoint &obj2) const

void	remove_appearance ()
	Remove the MGAppearance of this MGAttribedGel. [詳解]

virtual MGObject *	object ()
	Return MGObject pointer if this MGGel is an MGObject, else return null. [詳解]

virtual const MGObject *	object () const

virtual const MGFSurface *	fsurface () const
	Get the MGFSurface pointer if this is MGSurface or MGFace. [詳解]

virtual MGFSurface *	fsurface ()

void	set_appearance (const MGAppearance &appr2)

virtual void	transform (const MGVector &v)
	Transform the gel by the argument. [詳解]

virtual void	transform (double scale)
	translation [詳解]

virtual void	transform (const MGMatrix &mat)
	scaling. [詳解]

virtual void	transform (const MGTransf &tr)
	matrix transformation. [詳解]

基底クラス MGAttribedGel に属する継承公開メンバ関数
	MGAttribedGel ()
	void constructor. [詳解]

	MGAttribedGel (const MGAttribedGel &gel2)
	copy constructor. [詳解]

virtual MGAttribedGel &	operator= (const MGAttribedGel &gel2)

virtual	~MGAttribedGel ()

void	copy_appearance (const MGAttribedGel &gel2)

mgVBO *	dlist_name () const

virtual bool	displayList_is_made (MGCL::VIEWMODE vmode) const
	Judge if the display list for vmode is made or not. [詳解]

void	deleteDlistName () const

virtual void	drawAttrib (mgVBO &vbo, bool no_color=false) const
	Process of draw or render attributes. [詳解]

virtual void	render_attribute () const

virtual int	get_draw_attrib_mask () const
	Obtain attribute mask for glPushAttrib(). [詳解]

virtual int	get_render_attrib_mask () const

int	getVBOElementsNumber () const
	Get the number of elements of m_dlistName. [詳解]

int	getVBOShaderElementsNumber () const
	Get the number of shading elements of m_dlistName. [詳解]

virtual bool	no_display () const

void	remove_GLattrib (long tid)
	Removed the attribute of specified type. [詳解]

virtual void	set_GLattrib (MGGLAttrib *attr)

virtual void	set_display ()
	Set this group as display or no display group. [詳解]

virtual void	set_no_display ()

bool	visible () const

void	set_name (const MGName &newName)

const MGName *	get_name () const

void	set_color (const MGColor &newColor)

const MGColor *	get_color () const

void	setDlistName (mgVBO *vbo=0) const

void	setDirty (bool is_dirty) const
	Set dirty flag(s) of this VBO(m_dlistName). [詳解]

基底クラス MGGel に属する継承公開メンバ関数
virtual	~MGGel ()
	Virtual Destructor. [詳解]

virtual bool	operator!= (const MGGel &gel2) const

virtual bool	operator> (const MGGel &gel2) const

virtual MGAttrib *	attrib ()
	Return MGAttrib pointer if this MGGel is an MGAttrib, else return null. [詳解]

virtual const MGAttrib *	attrib () const

virtual MGGroup *	group ()
	Return MGGroup pointer if this MGGel is an MGGroup, else return null. [詳解]

virtual const MGGroup *	group () const

virtual MGPoint *	point ()
	Return point pointer if this MGGel is an MGPoint, else return null. [詳解]

virtual const MGPoint *	point () const

virtual MGSurface *	surf ()
	Return MGSurface pointer if this MGGel is an MGSurface, else return null. [詳解]

virtual const MGSurface *	surf () const

virtual MGTopology *	topology ()
	Return MGTopology pointer if this MGGel is an MGTopology, else return null. [詳解]

virtual const MGTopology *	topology () const

virtual MGFace *	face ()
	Return MGFace pointer if this MGGel is an MGFace, else return null. [詳解]

virtual const MGFace *	face () const

virtual MGShell *	shell ()
	Return MGShell pointer if this MGGel is an MGShell, else return null. [詳解]

virtual const MGShell *	shell () const

std::string	string_content () const

bool	type_is (const MGAbstractGels &types) const

限定公開メンバ関数
MGCParam_list	intersect_1D (double f, int coordinate=0) const

std::auto_ptr< MGCurve >	oneD (const double g[4]) const

void	ReadMembers (MGIfstream &buf)

void	WriteMembers (MGOfstream &buf) const

std::string	whoami () const

基底クラス MGCurve に属する継承限定公開メンバ関数
void	approximate_as_LBRep2 (MGLBRep &lb, int order, int is, int ie, bool neglectMulti=false) const
	Approximate this curve as a MGLBRep curve from knot_vector[is] to [ie]. [詳解]

virtual void	data_points_for_approximate_as_LBRep2 (int is, int ie, MGKnotVector &t, MGNDDArray &tau, bool neglectMulti=false) const
	Get data points for approximate_as_LBRep2. [詳解]

void	extrapolated_pp (double tau, double dk, MGPPRep &pp) const
	Obtain an extrapolated PP-Rep curve by the parameter value. [詳解]

virtual MGCCisect_list	isect_withC1LB (const MGLBRep &curve2) const
	Compute intersections with MGLBRep curve2 that does not have C0 continuity in it. [詳解]

virtual MGCCisect_list	isect_with_noCompoSC (const MGSurfCurve &curve2) const
	isect with SurfCurve whose m_curve is not a MGTrimmedCurve of MGCompositeCurve. [詳解]

virtual MGPosition_list	perps_withC1LB (const MGLBRep &lbC1) const
	Perpendicular points with C1 conitnuity LBRep. [詳解]

virtual MGPosition_list	perps_with_noCompoSC (const MGSurfCurve &curve2) const
	Perpendicular points of this to curve2. [詳解]

MGPosition_list	perpsSl (const MGStraight &sl) const
	Perpendicular points with straight. [詳解]

virtual void	update_mark ()
	Mark this as updated. [詳解]

基底クラス MGGeometry に属する継承限定公開メンバ関数
MGGeometry &	set_geometry (const MGGeometry &geo2)
	Assignment. [詳解]

基底クラス MGObject に属する継承限定公開メンバ関数
MGObject &	set_object (const MGObject &gel2)

フレンド
MG_DLL_DECLR friend MGRLBRep	operator+ (const MGVector &v, const MGRLBRep &lb)
	Friend Function. [詳解]

MG_DLL_DECLR friend MGRLBRep	operator* (double scale, const MGRLBRep &)

その他の継承メンバ
基底クラス MGGeometry に属する継承限定公開変数類
MGBox *	m_box

基底クラス MGAttribedGel に属する継承限定公開変数類
std::auto_ptr< mgVBO >	m_dlistName
	display name if m_dlistName!=0; [詳解]

詳解

Defines Rational Line B-Representation.

This NURBS is a homogeneous form, i.e., B-Coefficients have weight included values. When usual NURBS form is (xi, yi, zi, wi) , MGRLBRep form is (xi*wi, yi*wi, zi*wi, wi) for i=0,..., n-1.

構築子と解体子

MGRLBRep::MGRLBRep ( )

inline

Default(dummy) constructor.

MGRLBRep::MGRLBRep	(	const MGKnotVector &	t,
		const MGBPointSeq &	bcoef,
		int	homogeneous = `1`
	)

Construct Line NURBS, providing all the member data. ***** This is the fundamental constructor(when homogeneous=1).*****

引数

t	Knot Vector.
bcoef	Line B-Coef, each of coefficients includes weight multiplied when homogeneous=true(1), and not includes when homogeneous =false. Mximum space dimension id of bcoef is for weight of the rational.
homogeneous	Indicates if bcoef includes weight as above.

MGRLBRep::MGRLBRep	(	const MGKnotVector &	t,
		const MGBPointSeq &	bcoef,
		const std::vector< double > &	weights
	)

Construct Line NURBS, providing all the member data.

引数

t	Knot Vector.
bcoef	Line B-Coef, each of coefficients does not include weights data.
weights	Weights.

MGRLBRep::MGRLBRep ( const MGEllipse & ellipse )

explicit

Construct ellipse NURBS.

MGRLBRep::MGRLBRep	(	const MGPosition &	P0,
		const MGVector &	T0,
		const MGPosition &	P,
		const MGPosition &	P2,
		const MGVector &	T2
	)

Original ellipse.

Construct a conic section NURBS. This conic is defined by ths start and end point, and each tangent, and mid-point of the conic.

引数

P0	Start point
T0	Start point's tangent
P	Mid point of the conic section
P2	End point
T2	End point's tangent

MGRLBRep::MGRLBRep	(	const MGRLBRep &	old_brep,
		const MGKnotVector &	t
	)

Approximate an original NURBS by a new knot configuration. The new knot config must be inside the range of the original NURBS parameter. However new knots may be coarse or fine.

引数

old_brep	Original NURBS.
t	knot vector

MGRLBRep::MGRLBRep	(	const MGLBRep &	brep,
		int	homogeneous = `0`
	)

**** Conversion Constructor.****

Convert from Non ratoinal form to Rational form. When homogeneous==true(non zero), brep is homogeneous form MGLBRep. When homogeneous==false(zero), brep is ordinary MGLBRep and will be converted to MGRLBRep. That is, weight=1 elements will be added as last space dimension element. ***** This is the fundamental constructor. *****

引数

brep	Original LBRep. This can be ordinary LBRep, or homogeneous form of MGRLBRep. When homogeneous form, the last space dimension elements are weights.
homogeneous	true(non zero): homogeneous form, false(zero):ordinary LBRep.

MGRLBRep::MGRLBRep	(	const MGRLBRep &	old_brep,
		const MGKnotArray &	knots
	)

Gets new NURBS by adding knots to an original NURBS.

引数

old_brep	Original NURBS.
knots	Knots to add.

MGRLBRep::MGRLBRep	(	const MGRLBRep &	brep1,
		int	continuity,
		int	which,
		const MGRLBRep &	brep2
	)

Gets new NURBS by connecting two NURBS to one.

引数

brep1	NURBS 1.
continuity	continuity.
which	which point of brep1 to which of brep2, meaingfull when continuity>=0, =0: start of this and start of brep1, =1: start of this and end of brep1, =2: end of this and start of brep1, =3: end of this and end of brep1, continuity and which can be obtained using continuity().
brep2	NURBS 2.

MGRLBRep::MGRLBRep	(	double	t1,
		double	t2,
		const MGRLBRep &	old_brep,
		int	multiple = `0`
	)

Gets new NURBS by computing a part of the original. New one is exactly the same as the original except that it is partial. If multiple==true(!=0), knot(i)=t1 and knot(n+i)=t2 for i=0,..., k-1 will be guaranteed. Here, n=bdim() and k=order(). Both t1 and t2 must be inside te range of old_brep.

引数

t1	New parameter range..
t2	t1 must be less than t2.
old_brep	Original NURBS.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGRLBRep::MGRLBRep	(	int	dim,
		const MGRLBRep &	lbrep,
		int	start1 = `0`,
		int	start2 = `0`
	)

Construct a Line NURBS by changing space dimension and ordering of coordinates.

引数

dim	New space dimension.
lbrep	Original Line B-rep.
start1	Destination order of new line.
start2	Source order of original line.

MGRLBRep::MGRLBRep	(	double	a,
		double	b,
		double	angle1,
		double	angle2
	)

Construct 2D ellipse RLBRep, whose center is origin. The ellipse is expressed as below using parameter t. x(t)=a*cos(t), y(t)=b*sin(t), angle1<=t<=angle2

関数詳解

void MGRLBRep::approximate_as_LBRep	(	MGLBRep &	lb,
		int	ordr = `0`,
		int	parameter_normalization = `0`,
		bool	neglectMulti = `false`
	)		const

virtual

Approximate this curve as a MGLBRep curve within the tolerance MGTolerance::line_zero(). When parameter_normalization=0, reparameterization will not done, and the evaluation at the same parameter has the same values before and after of approximate_as_LBRep.

引数

lb	Approximated obrep will be set.
ordr	new order. When this is MGLBRep, if ordr=0, ordr=order() will be assumed, else ordr=4 is assumed.
parameter_normalization	Indicates how the parameter normalization be done: =0: no parameter normalization. =1: normalize to range=(0., 1.); =2: normalize to make the average length of the 1st derivative is as equal to 1. as possible.
neglectMulti	Indicates if multiple knots be kept. true: multiplicity is removed. false: multiplicity is kept.

MGCurveを再実装しています。

int MGRLBRep::bdim ( ) const

inlinevirtual

Returns NURBS Dimension.

MGCurveを実装しています。

MGBox MGRLBRep::box_limitted ( const MGInterval & l ) const

virtual

入力のパラメータ範囲の曲線部分を囲むボックスを返す。 Return minimum box that includes the partial line.

MGCurveを実装しています。

MGBox MGRLBRep::box_unlimit ( ) const

Return minimum box that includes the whole line.

MGRLBRep& MGRLBRep::change_dimension	(	int	dim,
		int	start1 = `0`,
		int	start2 = `0`
	)

virtual

Changing this object's space dimension.

引数

dim	new space dimension
start1	Destination order of new object.
start2	Source order of this object.

MGCurveを実装しています。

MGRLBRep& MGRLBRep::change_order ( int order )

inline

Change order of the NURBS. When new order is greater than the original, new B-rep is guaranteed to be the same line as the original. However, if new order is less than the original one, new line is not the same in general.

引数

order New order number.

void MGRLBRep::change_range	(	double	t1,
		double	t2
	)

inlinevirtual

Change parameter range, be able to change the direction by providing t1 greater than t2.

引数

t1	Parameter value for the start of original.
t2	Parameter value for the end of original.

MGCurveを実装しています。

MGRLBRep* MGRLBRep::clone ( ) const

virtual

Construct new curve object by copying to newed area. User must delete this copied object by "delete".

MGCurveを実装しています。

double& MGRLBRep::coef	(	int	i,
		int	j
	)

inline

Access to (i,j)th element of coef ( left-hand side version)

double MGRLBRep::coef	(	int	i,
		int	j
	)		const

inline

Access to (i,j)th element of coef (right hand side version)

MGVector MGRLBRep::coef ( int i ) const

inline

Extract (i,j)elements for 0<=j<=sdim() as a vector of (sdim()+1) space dimension. The last elemnt is weight.

const double* MGRLBRep::coef_data	(	int	i = `0`,
		int	j = `0`
	)		const

inline

Returns a pointer to the line b-coef data.

void MGRLBRep::connect	(	int	continuity,
		int	which,
		const MGRLBRep &	brep2
	)

Connect brep2 to this brep to make one B-Representation. This parameter range will not be changed, instead brep2's range will be so changed that brep2 has the same 1st derivative magnitude as the original this brep's at the connecting point(start or end point of this). continuity and which can be obtained using the fucntion continuity().

引数

continuity	continuity. must be>=0.
which	which point of this to which of brep2. =0: start of this and start of brep2. =1: start of this and end of brep2. =2: end of this and start of brep2. =3: end of this and end of brep2.
brep2	B-Rep 2.

int MGRLBRep::continuity	(	const MGRLBRep &	brep2,
		int &	which,
		double &	ratio
	)		const

Compute continuity with brep2. Function's return value is: -1: G(-1) continuity, i.e. two lines are discontinuous. 0: G0 continuity, i.e. two lines are connected, but tangents are discontinuous 1: C1 continuity, i.e. 1st deriv's are also continuous, when weights are so arranged. 2: C2 continuity, i.e. 2nd deriv's are also continuous, when weights are so arranged.

引数

brep2	The 2nd target RLBRep.
which	Indicates which point of this is connected to which of brep2, is meaingfull when continuity>=0, =0: start of this to start of brep2, =1: start of this to end of brep2, =2: end of this to start of brep2, =3: end of this to end of brep2.
ratio	Ratio of 1st derivatives of the two line will be returned, ratio= d2/d1, where d1=1st deriv of this and d2=of brep2

MGRLBRep& MGRLBRep::coordinate_exchange	(	int	i,
		int	j
	)

virtual

Exchange ordering of the coordinates. Exchange coordinates (i) and (j).

MGCurveを実装しています。

MGCurve* MGRLBRep::copy_as_nurbs ( ) const

inlinevirtual

copy as a newed curve. The new curve will be MGLBRep or MGRLBRep. When original curve was a MGRLBRep, the new curve will be a MGRLBRep. Otherwise, the new curve will be a MGLBRep. Returned object must be deleted.

MGCurveを実装しています。

MGRLBRep* MGRLBRep::copy_change_dimension	(	int	sdim,
		int	start1 = `0`,
		int	start2 = `0`
	)		const

virtual

Construct new curve object by changing the original object's space dimension. User must delete this copied object by "delete".

引数

sdim	new space dimension
start1	Destination order of new line.
start2	Source order of this line.

MGCurveを実装しています。

MGCurve* MGRLBRep::copy_limitted ( const MGInterval & prange ) const

virtual

Construct new curve object by copying to newed area, and limitting the parameter range to prange. Returned is newed object and must be deleted.

MGCurveを再実装しています。

void MGRLBRep::display_control_polygon ( mgSysGL & sgl ) const

virtual

Display control polygons using mgVBO::MGDrawPointSeq()

MGGelを再実装しています。

int MGRLBRep::divide_multi	(	MGPvector< MGCurve > &	crv_list,
		int	multiplicity = `-1`
	)		const

virtual

Divide this curve at the designated knot multiplicity point. Function's return value is the number of the curves after divided.

引数

crv_list	divided curves will be appended.
multiplicity	designates the multiplicity of the knot to divide at, When multiplicity<=0, order()-1 is assumed, When multiplicity>=order(), order() is assumed.

MGCurveを再実装しています。

void MGRLBRep::draw_1D	(	void(*)(int, int)	moveto,
		void(*)(int, int)	lineto,
		int	coordinate,
		bool	t_is_x,
		const double	wind[4],
		int	ynum
	)		const

Draw this line's coordinate'th coordinate in 2D space as (t, LBRep(coordinate)) when t_is_x is true, or as ( LBRep(coordinate),t) when t_is_x is false, Here t is the parameter of the LBRep. using drawing function moveto(int, int) and lineto(int,int). The other behaviours are the same as draw_2D.

引数

moveto	Move to function.
lineto	Line to function.
coordinate	id of coordinate, that is =0:x, =1:y, and so on.
t_is_x	=true:t is x coordinate, and false:t is y.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::draw_1D	(	void(*)(float, float)	moveto,
		void(*)(float, float)	lineto,
		int	coordinate,
		bool	t_is_x,
		const double	wind[4],
		int	ynum
	)		const

引数

moveto	Move to function.
lineto	Line to function.
coordinate	id of coordinate, that is =0:x, =1:y, and so on.
t_is_x	=true:t is x coordinate, and false:t is y.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::draw_1D	(	void(*)(double, double)	moveto,
		void(*)(double, double)	lineto,
		int	coordinate,
		bool	t_is_x,
		const double	wind[4],
		int	ynum
	)		const

引数

moveto	Move to function.
lineto	Line to function.
coordinate	id of coordinate, that is =0:x, =1:y, and so on.
t_is_x	=true:t is x coordinate, and false:t is y.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::draw_2D	(	void(*)(int, int)	moveto,
		void(*)(int, int)	lineto,
		const double	wind[4],
		int	ynum
	)		const

Draw this line's 1st and 2nd coordinates in 2D space using drawing function moveto( , ) and lineto( , ). wind[] is the window of the screen to draw the line in. Clipping will be performed about the wind[]. (wind[0], wind[1]) is the center coordinates of the window. wind[2] is width and wind[3] is hight of the window. When wind[2]<=0, no clipping is performed. Even when wind[2]<=0, wind[3] is necessary to input to specify the resolution of the line. In this case, wind[0] and wind[1] are not referended. ynum is the resolution of the line, is the number of straight line segments for the curve length of wind[3](height of window). ***draw_2D does not perform box including judment, always performs clipping operation and draws the line. Users must do obvious box inclusion test if maximum drawing performance is necessary.

引数

moveto	Move to function.
lineto	Line to function.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::draw_2D	(	void(*)(float, float)	moveto,
		void(*)(float, float)	lineto,
		const double	wind[4],
		int	ynum
	)		const

引数

moveto	Move to function.
lineto	Line to function.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::draw_2D	(	void(*)(double, double)	moveto,
		void(*)(double, double)	lineto,
		const double	wind[4],
		int	ynum
	)		const

引数

moveto	Move to function.
lineto	Line to function.
wind	window box to draw the line in.
ynum	Resolution of the line.

void MGRLBRep::drawSE	(	mgVBO &	vbo,
		double	span_length,
		double	t0,
		double	t1
	)		const

virtual

Draw this curve into vbo, approximating with polyline.

引数

vbo	The target graphic object.
span_length	Line segment span length.
t0	Start parameter value of the curve.
t1	End parameter value of the curve. Draw will be performed from t0 to t1.

MGCurveを再実装しています。

MGVector MGRLBRep::eval	(	double	t,
		int	nderiv = `0`,
		int	left = `0`
	)		const

virtual

Evaluate right continuous n'th derivative data. nderiv=0 means positional data evaluation.

引数

t	Parameter value.
nderiv	Order of Derivative.
left	Left continuous(left=true) or right continuous(left=false).

MGCurveを実装しています。

void MGRLBRep::eval_all	(	double	tau,
		MGPosition &	P,
		MGVector &	V1,
		MGVector &	V2
	)		const

virtual

Compute position, 1st and 2nd derivatives. パラメータ値を与えて位置、一次微分値、二次微分値をもとめる。

引数

tau	Input parameter value(パラメータ値)
P	Position(位置)
V1	1st derivative(1次微分値)
V2	2nd derivative(2次微分値)

MGCurveを再実装しています。

void MGRLBRep::eval_all	(	double	tau,
		int	nderiv,
		double *	deriv,
		int	left = `0`
	)		const

Evaluate all of i'th derivative data for 0<=i<=nderiv. Output will be put on deriv[j+i*sdim()] for 0<=i<=nderiv and 0<=j<sdim(), i.e. deriv[j+i*sdim()] is i-th derivative data for 0<=j<sdim().

引数

tau	Parameter value to evaluate.
nderiv	Order of Derivative.
deriv	Output area of size (nderiv+1)*sdim().
left	Left continuous(left=true) or right continuous(left=false).

void MGRLBRep::extend	(	double	length,
		bool	start = `false`
	)

virtual

Extrapolate this curve by an (approximate) chord length. The extrapolation is C2 continuous.

引数

length	approximate chord length to extend.
start	Flag of which point to extend, start or end point of the line. If start is true extend on the start point.

MGCurveを実装しています。

MGRLBRep& MGRLBRep::extend	(	int	start,
		double	length,
		double	dk = `0.`
	)

Modify the original NURBS by extrapolating the specified perimeter. The extrapolation is C2 continuous if the order >=4.

引数

start	Flag of start or end poit of the line, If start is true extend on the start point.
length	chord length to extend.
dk	Coefficient of how curvature should vary at extrapolation start point. When dk=0, curvature keeps same, i.e., dK/dS=0. When dk=1, curvature becomes zero at length extrapolated point, i.e. dK/dS=-K/length at extrapolation start point, (S=parameter of arc length, K=Curvature at start point) That is, when dk reaches to 1 from 0, curve changes to flat.

MGRLBRep& MGRLBRep::extend_with_parameter	(	double	tau,
		double	dk
	)

Extrapolate the curve by the parameter value.

引数

tau	The parameter value at the end of extended point, When tau<param_s(), extension will be done at the starting point, When tau>param_e(), extension will be done at the end point.
dk	Coefficient of how curvature should vary at the connecting point. See extend();

bool MGRLBRep::get_control_points ( MGBPointSeq & cpoints ) const

virtual

Extracts control points. Fucntion's return value is true if control points was obtained, false if not.

引数

cpoints Control points will be output.

MGCurveを再実装しています。

const MGLBRep& MGRLBRep::homogeneous ( ) const

inline

Return homogeneous Line B-Representation of the rational B-Spline.

MGLBRep& MGRLBRep::homogeneous ( )

inline

long MGRLBRep::identify_type ( ) const

virtual

Return This object's typeID.

MGCurveを実装しています。

MGCParam_list MGRLBRep::intersect_1D	(	double	f,
		int	coordinate = `0`
	)		const

protectedvirtual

Compute intersection point of 1D sub NURBS of original B-rep. Parameter values of this at intersection points will be returned.

引数

f	Coordinate value
coordinate	Coordinate kind of the data f(from 0).

MGCurveを再実装しています。

int MGRLBRep::intersect_dnum ( ) const

virtual

Provide divide number of curve span for function intersect.

MGCurveを実装しています。

bool MGRLBRep::is_coplanar	(	const MGCurve &	curve2,
		MGPlane &	plane
	)		const

virtual

Test if this cure is co-planar with the 2nd curve curve2. MGPlane expression will be out to plane if this is co-planar. Function's return value is true if co-planar.

MGCurveを再実装しています。

bool MGRLBRep::is_planar ( MGPlane & plane ) const

virtual

Test if this cure is planar or not. MGPlane expression will be out to plane if this is planar. Function's return value is true if planar.

MGCurveを再実装しています。

MGCCisect_list MGRLBRep::isect ( const MGCurve & ) const

virtual

Spline と Curve の交点を求める。 Intersection point of spline and curve.

MGCurveを実装しています。

MGCCisect_list MGRLBRep::isect ( const MGStraight & curve2 ) const

virtual

MGCurveを実装しています。

MGCCisect_list MGRLBRep::isect ( const MGSurfCurve & curve2 ) const

virtual

MGCurveを実装しています。

MGCCisect_list MGRLBRep::isect ( const MGBSumCurve & curve2 ) const

virtual

MGCurveを再実装しています。

MGCSisect_list MGRLBRep::isect ( const MGSurface & surf ) const

virtual

Intersection of Spline and Surface.

Intersection of MGRLBRep and Surface

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGPlane & surf ) const

virtual

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGSphere & surf ) const

virtual

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGCylinder & surf ) const

virtual

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGSBRep & surf ) const

virtual

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGRSBRep & surf ) const

virtual

MGCurveを実装しています。

MGCSisect_list MGRLBRep::isect ( const MGBSumSurf & surf ) const

virtual

MGCurveを実装しています。

MGCParam_list MGRLBRep::isect_2D	(	const MGStraight &	sl,
		int	coordinate = `0`
	)		const

Compute intersection point of 2D sub NURBS of original B-rep. Parameter values of this at intersection points will be returned. Straight line sl and this(RLBRep) will be projected to 2D plane of coordinate kind (coordinate, coordinate+1), then intersection will be computed. For example when sl and this are 3 dimension (x,y,z), and coodinate =2, 2D data (z,x) are extracted from sl and this, then intersection will be performed. Note MGStraight sl is treated as infinite straight line, even if it is finite.

引数

sl	Straight line.
coordinate	Coordinate kind of 2D sub space.

MGCParam_list MGRLBRep::isect_3D	(	const MGPlane &	pl,
		int	coordinate = `0`
	)		const

Compute intersection points of 3D sub NURBS of original B-rep. Parameter values of thisat intersection points will be returned. This(RLBRep) will be projected to 3D plane of coordinate kind (coordinate, coordinate+1, coordinate+2), then intersection will be computed. This is valid only when sdim()>=4. For example when pl and this are 4 dimension (x,y,z,p), and coodinate =1, 3D data (y,z,p) are extracted from pl and this, then intersection will be performed.

引数

pl	Plane.
coordinate	Coordinate kind of 3D sub space.

double& MGRLBRep::knot ( int i )

inline

Access to i-th element of knot ( left-hand side version)

double MGRLBRep::knot ( int i ) const

inlinevirtual

Access to i-th element of knot (right hand side version)

MGCurveを実装しています。

const double* MGRLBRep::knot_data ( ) const

inline

Returns a pointer to the knot vector data.

const MGKnotVector& MGRLBRep::knot_vector ( ) const

inlinevirtual

Returns the knot vector. RHS version.

MGCurveを実装しています。

MGKnotVector& MGRLBRep::knot_vector ( )

inline

Returns the knot vector. LHS version.

MGRLBRep& MGRLBRep::limit ( const MGInterval & itvl )

virtual

自身に指定したパラメータ範囲のlimitをつける。 Get the sub interval line of the original line.

MGCurveを実装しています。

const MGBPointSeq& MGRLBRep::line_bcoef ( ) const

inline

Returns the B-coef's. RHS version.

MGBPointSeq& MGRLBRep::line_bcoef ( )

inline

Returns the B-coef's. LHS version.

void MGRLBRep::negate ( )

inlinevirtual

Change direction of the line.

MGCurveを実装しています。

double MGRLBRep::negate_param ( double t ) const

inlinevirtual

Obtain parameter value if this curve is negated by "negate()".

MGCurveを実装しています。

MGBPointSeq MGRLBRep::non_homogeneous_bcoef ( ) const

Return non_homogeneous B-Coefficients with weights of the rational B-Spline. This MGBPointSeq includes weights.

int MGRLBRep::non_rational ( ) const

Test if this is actually non_rational, i.e. , all of the weights are same values. If non_rational return true, else false.

std::auto_ptr<MGCurve> MGRLBRep::oneD ( const double g[4] ) const

protectedvirtual

Obtain so transformed 1D curve expression of this curve that f(t)={sum(xi(t)*g[i]) for i=0(x), 1(y), 2(z)}-g[3], where f(t) is the output of oneD and xi(t) is i-th coordinate expression of this curve. This is used to compute intersections with a plane g[4].

引数

g	Plane expression(a,b,c,d) where ax+by+cz=d.

MGCurveを実装しています。

MGRLBRep MGRLBRep::operator* ( double ) const

MGRLBRep MGRLBRep::operator* ( const MGMatrix & ) const

MGRLBRep MGRLBRep::operator* ( const MGTransf & ) const

MGRLBRep& MGRLBRep::operator*= ( double scale )

virtual

MGCurveを実装しています。

MGRLBRep& MGRLBRep::operator*= ( const MGMatrix & mat )

virtual

MGCurveを実装しています。

MGRLBRep& MGRLBRep::operator*= ( const MGTransf & tr )

virtual

MGCurveを実装しています。

MGRLBRep MGRLBRep::operator+ ( const MGVector & ) const

Transformation object construction.

MGRLBRep& MGRLBRep::operator+= ( const MGVector & v )

virtual

Object transformation.

MGCurveを実装しています。

MGRLBRep MGRLBRep::operator- ( const MGVector & ) const

MGRLBRep& MGRLBRep::operator-= ( const MGVector & v )

virtual

MGCurveを実装しています。

bool MGRLBRep::operator< ( const MGRLBRep & gel2 ) const

bool MGRLBRep::operator< ( const MGGel & gel2 ) const

virtual

MGCurveを実装しています。

MGRLBRep& MGRLBRep::operator= ( const MGGel & gel2 )

virtual

MGRLBRep(const MGRLBRep&); ///Copy constructor. We can use default copy constructor. Destructor ///////// ~MGRLBRep(); ///We can use default destructor. Assignment. When the leaf object of this and crv2 are not equal, this assignment does nothing.

MGGelを再実装しています。

MGRLBRep& MGRLBRep::operator= ( const MGRLBRep & gel2 )

bool MGRLBRep::operator== ( const MGRLBRep & gel2 ) const

comparison

bool MGRLBRep::operator== ( const MGGel & gel2 ) const

virtual

Comparison.

MGCurveを実装しています。

bool MGRLBRep::operator== ( const MGLBRep & gel2 ) const

int MGRLBRep::order ( ) const

inlinevirtual

Returns the order.

MGCurveを実装しています。

std::ostream& MGRLBRep::out ( std::ostream & ) const

virtual

Output virtual function.

MGCurveを再実装しています。

int MGRLBRep::out_to_IGES	(	MGIgesOfstream &	igesfile,
		int	SubordinateEntitySwitch = `0`
	)		const

virtual

Debug Function.

Returns the knot vector. MGKnotVector knot_vector_real() const{return knot_vector();}IGES output function. PD126.

MGGelを再実装しています。

double MGRLBRep::param_e ( ) const

inlinevirtual

Return ending parameter value.

MGCurveを実装しています。

double MGRLBRep::param_normalize ( double t ) const

inlinevirtual

Normalize parameter value t to the nearest knot if their distance is within tolerance.

MGCurveを実装しています。

double MGRLBRep::param_s ( ) const

inlinevirtual

Return starting parameter value.

MGCurveを実装しています。

MGRLBRep* MGRLBRep::part	(	double	t1,
		double	t2,
		int	multiple = `0`
	)		const

virtual

Compute part of this curve from parameter t1 to t2. Returned is the pointer to newed object, and so should be deleted by calling program, or memory leaked.

引数

t1	From parameter.
t2	To parameter.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGCurveを実装しています。

MGPosition_list MGRLBRep::perps ( const MGCurve & crv2 ) const

virtual

Compute all the perpendicular points of this curve and the second one. That is, if f(s) and g(t) are the points of the two curves f and g, then obtains points where the following conditions are satisfied: fs*(f-g)=0. gt*(g-f)=0. Here fs and gt are 1st derivatives at s and t of f and g. MGPosition P in the MGPosition_list contains this and crv's parameter as: P(0)=this curve's parameter, P(1)=crv2's parameter value.

MGCurveを実装しています。

MGPosition_list MGRLBRep::perps ( const MGStraight & crv2 ) const

virtual

MGCurveを実装しています。

int MGRLBRep::planar	(	MGPlane &	plane,
		MGStraight &	line,
		MGPosition &	point
	)		const

Check if the line B-rep is planar. Funtion's return value is; 0: Not planar, nor a point, nor straight line. 1: NURBS is a point. 2: NURBS is a straight line. 3: NURBS is planar.

引数

plane	When Brep is not straight line nor a point, plane is returned. Even when not planar(return value is 0), plane nearest is returned.
line	When Brep is a line, line is returned.
point	When Brep is a point, point is returned.

void MGRLBRep::ReadMembers ( MGIfstream & buf )

protectedvirtual

メンバデータを読み込む関数戻り値boolは正常に読み出しが出来ればtrue、失敗すればfalseになる

MGCurveを再実装しています。

std::auto_ptr<MGRLBRep> MGRLBRep::rebuild_with_new_knot_configuration	(	double	error,
		int	parameter_normalization
	)		const

Rebuild this NURBS by reconstructing new knot configuration.

int MGRLBRep::reduce ( int ndec )

inline

Change the NURBS by decreasing B-Rep dimension by ndec. This is an approximation of the origimal NURBS. Return value is error flag.

引数

ndec	Number of B-Rep dimension to decrease

MGRLBRep& MGRLBRep::refine ( const MGKnotVector & t )

inline

Change an original NURBS to new one with subdivided knot configuration. Knots t must be subdivided knots.

引数

t	knot vector

void MGRLBRep::remove_knot ( )

virtual

ノット削除関数トレランスはline_zeroを使用する。元のノットが細かいものほど削除しやすい removal knot. line_zero tolerance is used.

MGCurveを再実装しています。

int MGRLBRep::sdim ( ) const

inlinevirtual

Returns the space dimension.

MGCurveを実装しています。

MGSurface* MGRLBRep::sweep	(	const MGUnit_vector &	uvec,
		double	start_dist,
		double	end_dist
	)		const

virtual

Return sweep surface from crv Returned is a newed MGSurface, must be deleted. The sweep surface is defined as: This curve(say c(t)) is the rail and the straight line segments from C(t)+start_dist*uvec to C(t)+end_dist*uvec are the generatrix.

引数

uvec	Sweep Direction.
start_dist	distance to start edge.
end_dist	distance to end edge.

MGCurveを実装しています。

MGCURVE_TYPE MGRLBRep::type ( ) const

inlinevirtual

曲線のタイプをを返す。 Return the curve type.

MGCurveを実装しています。

MGCurve& MGRLBRep::unlimit ( )

inlinevirtual

limitをはずす。 unlimit this line.

MGCurveを実装しています。

MGCurve& MGRLBRep::unlimit_end ( )

inlinevirtual

Unlimit parameter range of the curve to the end point direction (終点方向にlimitをはずす)

MGCurveを実装しています。

MGCurve& MGRLBRep::unlimit_start ( )

inlinevirtual

Unlimit parameter range of the curve to the start point direction (始点方向にlimitをはずす)

MGCurveを実装しています。

std::string MGRLBRep::whoami ( ) const

inlineprotectedvirtual

MGCurveを再実装しています。

void MGRLBRep::WriteMembers ( MGOfstream & buf ) const

protectedvirtual

メンバデータを書き込む関数戻り値boolは正常に書き込みが出来ればtrue、失敗すればfalseになるここでは処理対象となるデータメンバが無いので何も処理をしない。

MGCurveを再実装しています。

フレンドと関連関数の詳解

MG_DLL_DECLR friend MGRLBRep operator*	(	double	scale,
		const MGRLBRep &
	)

friend

MG_DLL_DECLR friend MGRLBRep operator+	(	const MGVector &	v,
		const MGRLBRep &	lb
	)

friend

Friend Function.

このクラス詳解は次のファイルから抽出されました:

mg/RLBRep.h

公開メンバ関数

限定公開メンバ関数

フレンド

その他の継承メンバ

詳解

構築子と解体子

関数詳解

フレンドと関連関数の詳解