MGCurve is an abstract class which represents a whole curve. [詳解]

MGCurve の継承関係図

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 MGCurve &	operator+= (const MGVector &v)=0
	Object transformation. [詳解]

virtual MGCurve &	operator-= (const MGVector &v)=0

virtual MGCurve &	operator*= (double scale)=0

virtual MGCurve &	operator*= (const MGMatrix &mat)=0

virtual MGCurve &	operator*= (const MGTransf &tr)=0

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

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

virtual bool	operator== (const MGGel &gel2) const =0
	Comparison. [詳解]

virtual bool	operator< (const MGGel &gel2) const =0

virtual void	approximate_as_LBRep (MGLBRep &lb, int ordr=0, int parameter_normalization=0, bool neglectMulti=false) const
	Approximate this curve as a MGLBRep. [詳解]

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 int	bdim () const =0
	Returns B-Rep Dimension. [詳解]

virtual MGBox	box_limitted (const MGInterval &) const =0
	Return minimum box that includes the curve of parameter interval. [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 MGCurve &	change_dimension (int sdim, int start1=0, int start2=0)=0
	Changing this object's space dimension. [詳解]

virtual void	change_range (double t1, double t2)=0
	Change parameter range. [詳解]

virtual MGCurve *	clone () const =0
	Construct new geometry object by copying to newed area. [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 MGCurve &	coordinate_exchange (int i, int j)=0
	Exchange ordering of the coordinates. [詳解]

virtual MGCurve *	copy_as_nurbs () const =0
	copy as a newed curve. [詳解]

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

virtual MGCurve *	copy_change_dimension (int sdim, int start1=0, int start2=0) const =0
	Construct new curve object by changing the original object's space dimension. [詳解]

virtual MGCurve *	copy_limitted (const MGInterval &prange) const
	Construct new curve object limitting the parameter range to prange. [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

virtual int	divide_multi (MGPvector< MGCurve > &crv_list, int multiplicity=-1) const
	Divide this curve at the designated knot multiplicity point. [詳解]

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

virtual void	drawSE (mgVBO &vbo, double span_length, double t0, double t1) const
	Draw this curve into vbo, approximating with polyline. [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 (double, int nderiv=0, int left=0) const =0
	Evaluate n'th derivative data. [詳解]

virtual void	eval_all (double, MGPosition &, MGVector &, MGVector &) const
	Compute position, 1st and 2nd derivatives. [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	extend (double length, bool start=false)=0
	Extrapolate this curve by an (approximate) chord length. [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]

virtual bool	get_control_points (MGBPointSeq &cpoints) const
	Extracts control points. [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 long	identify_type () const =0
	Return This object's typeID. [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

virtual int	intersect_dnum () const =0
	Provide divide number of curve span for function intersect. [詳解]

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

virtual MGCCisect_list	isect (const MGCurve &curve2) const =0
	Intersection of Curve and other geometry. [詳解]

virtual MGCCisect_list	isect (const MGStraight &curve2) const =0

virtual MGCCisect_list	isect (const MGRLBRep &curve2) const

virtual MGCCisect_list	isect (const MGEllipse &curve2) const

virtual MGCCisect_list	isect (const MGLBRep &curve2) const

virtual MGCCisect_list	isect (const MGSurfCurve &curve2) const =0

virtual MGCCisect_list	isect (const MGBSumCurve &curve2) const

MGCCisect_list	isect (const MGTrimmedCurve &curve2) const

MGCCisect_list	isect (const MGCompositeCurve &curve2) const

virtual MGCSisect_list	isect (const MGSurface &surf) const =0

virtual MGCSisect_list	isect (const MGPlane &surf) const =0

virtual MGCSisect_list	isect (const MGSphere &surf) const =0

virtual MGCSisect_list	isect (const MGCylinder &surf) const =0

virtual MGCSisect_list	isect (const MGSBRep &surf) const =0

virtual MGCSisect_list	isect (const MGRSBRep &surf) const =0

virtual MGCSisect_list	isect (const MGBSumSurf &surf) const =0

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_coplanar (const MGCurve &curve2, MGPlane &plane) const
	Test if this cure is co-planar with the 2nd curve curve2. [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]

virtual bool	is_planar (MGPlane &plane) const
	Test if this cure is planar or not. [詳解]

virtual double	knot (int i) const =0
	Access to i-th element of knot. [詳解]

virtual const MGKnotVector &	knot_vector () const =0
	Returns the knot vector of the curve. [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]

virtual MGCurve &	limit (const MGInterval &rng)=0
	Update this by limiting the parameter range of the curve. [詳解]

MGCurve &	limit (double t0, double t1)

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

virtual void	negate ()=0
	Negate the curve direction(曲線の方向を反転する). [詳解]

virtual double	negate_param (double t) const =0
	Obtain the parameter value to t when this curve is negated by "negate()". [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 int	order () const =0
	Returns the order. [詳解]

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

virtual double	param_e () const =0
	Return ending parameter value. [詳解]

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

virtual double	param_normalize (double t) const =0
	Normalize parameter value t to the nearest knot if their distance is within tolerance. [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]

virtual double	param_s () const =0
	Return starting parameter value. [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 MGCurve *	part (double t1, double t2, int multiple=0) const =0
	Compute part of this curve from parameter t1 to t2. [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 MGCurve &crv2) const =0
	Compute all the perpendicular points of this curve and the second one. [詳解]

virtual MGPosition_list	perps (const MGStraight &crv2) const =0

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 void	remove_knot ()
	Remove redundant knot, and reduce the b-rep dimension. [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 int	sdim () const =0
	Return space dimension. [詳解]

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

virtual MGSurface *	sweep (const MGUnit_vector &uvec, double start_dist, double end_dist) const =0
	Return sweep surface from crv. [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 MGCURVE_TYPE	type () const =0
	Return curve type(曲線のタイプを返す). [詳解]

virtual MGCurve &	unlimit ()=0
	Unlimit parameter range of the curve(limitをはずす). [詳解]

virtual MGCurve &	unlimit_end ()=0
	Unlimit parameter range of the curve to the end point direction. [詳解]

virtual MGCurve &	unlimit_start ()=0
	Unlimit parameter range of the curve to the start point direction. [詳解]

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

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

virtual std::string	whoami () const

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 MGGel &	operator= (const MGGel &gel2)

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

virtual bool	operator> (const MGGel &gel2) const

virtual int	out_to_IGES (MGIgesOfstream &igesfile, int SubordinateEntitySwitch=0) 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

virtual void	display_control_polygon (mgSysGL &sgl) const

限定公開メンバ関数
virtual void	ReadMembers (MGIfstream &buf)
	メンバデータを読み出す関数. [詳解]

virtual void	WriteMembers (MGOfstream &buf) const
	メンバデータを書き込む関数. [詳解]

virtual MGCParam_list	intersect_1D (double f, int coordinate=0) const
	Compute intersection point of 1D sub curve of original curve. [詳解]

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 std::auto_ptr< MGCurve >	oneD (const double g[4]) const =0
	Obtain transformed 1D curve expression of this curve. [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)

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

MGCurve is an abstract class which represents a whole curve.

構築子と解体子

MGCurve::MGCurve ( )

Void constructor(初期化なしでオブジェクトを作成する。).

MGCurve::MGCurve ( const MGCurve & curve )

Copy constructor.

virtual MGCurve::~MGCurve ( )

virtual

Virtual Destructor.

関数詳解

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

virtual

Approximate this curve as a MGLBRep.

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 lbrep 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.

MGLBRep, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

void MGCurve::approximate_as_LBRep2	(	MGLBRep &	lb,
		int	order,
		int	is,
		int	ie,
		bool	neglectMulti = `false`
	)		const

protected

Approximate this curve as a MGLBRep curve from knot_vector[is] to [ie].

This is an internal program of MGLBRep constructor.

引数

lb	Approximated LBRep will be set.
order	new order
is	approximation parameter range, from knot_vector()[is].
ie	approximation parameter range, to knot_vector()[ie].
neglectMulti	Indicates if multiple knots be kept. true: multiplicity is removed. false: multiplicity is kept.

void MGCurve::arrow	(	double	t,
		MGPosition	data[4]
	)		const

Generate arrow data of the tangent at the parameter value t of the curve.

data[0] is the origin, data[1] is top of the arrow, data[2], [3] are two bottoms of arrowhead.

virtual int MGCurve::bdim ( ) const

pure virtual

Returns B-Rep Dimension.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurveで実装されています。

virtual MGBox MGCurve::box_limitted ( const MGInterval & ) const

pure virtual

Return minimum box that includes the curve of parameter interval.

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。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurveで実装されています。

virtual MGPosition MGCurve::center ( ) const

virtual

Obtain ceter coordinate of the geometry.

MGGeometryを実装しています。

MGEllipseで再実装されています。

virtual MGPosition MGCurve::center_param ( ) const

virtual

Obtain ceter parameter value of the geometry.

MGGeometryを実装しています。

virtual MGCurve& MGCurve::change_dimension	(	int	sdim,
		int	start1 = `0`,
		int	start2 = `0`
	)

pure virtual

Changing this object's space dimension.

引数

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

MGGeometryを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurveで実装されています。

virtual void MGCurve::change_range	(	double	t1,
		double	t2
	)

pure virtual

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.

MGLBRep, MGEllipse, MGStraight, MGRLBRep, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurveで実装されています。

virtual MGCurve* MGCurve::clone ( ) const

pure virtual

Construct new geometry object by copying to newed area.

User must delete this copied object by "delete".

MGGeometryを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurve, mgTL2Polylineで実装されています。

virtual double MGCurve::closest ( const MGPosition & point ) const

virtual

Compute the closest point parameter value of this curve from a point.

MGStraight, MGCompositeCurveで再実装されています。

virtual MGPosition MGCurve::closest ( const MGCurve & curve2 ) const

virtual

Compute the closest point parameter value pair of this curve and curve2.

MGPosition P of the function return contains this and curve2's parameter as: P(0)=this curve's parameter, P(1)=curve2's parameter value.

MGStraightで再実装されています。

virtual double MGCurve::closest2D ( const MGPosition & point ) const

virtual

Compute the nearest point from input point on this curve's (x,y) 2D part.

bool MGCurve::cn_continuity ( int n ) const

Test if this curve is cn continuous.

曲線がCn連続かどうか調べる LBRep以外はかならずtrueが返却される

virtual int MGCurve::common	(	const MGCurve &	curve2,
		std::vector< double > &	vecComSpan,
		MGCCisect_list &	isect
	)		const

virtual

Test if this has a common line part with the 2nd curve.

目的：与えられた曲線と自身の共通部分があるかどうか調べる。引数： const MGCurve& curve2, (I/ ) 与えられる曲線 std::vector<double>& vecComSpan ( /O) 共通部分のパラメータ範囲 4nの配列で、vecComSpan(4*i+0),vecComSpan(4*i+1)が自身のパラメータ範囲 (vecComSpan(4*i+0) < vecComSpan(4*i+1))、 vecComSpan(4*i+2),vecComSpan(4*i+3)がcurve2のパラメータ範囲 MGCCisect_list& isect ( /O) 交点戻り値： 3:交点も共通部分も求まった 2:交点のみが求まった 1:共通部分のみが求まった 0:交点も共通部分もなかった -1:共通エッジの収束計算エラー -2:共通エッジが４個以上求まった(のっていないと見なす) 追記：曲線が共通かどうかの誤差にはline_zero()、をパラメータ範囲の収束計算の誤差には、パラメータ範囲*rc_zero()を使用する。

MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual int MGCurve::common	(	const MGCurve &	curve2,
		std::vector< double > &	vecComSpan
	)		const

virtual

Test if this has a common line part with the 2nd curve.

関数名：common 目的：与えられた曲線と自身の共通部分があるかどうか調べる。引数： const MGCurve& curve2, (I/ ) 与えられる曲線 std::vector<double>& vecComSpan ( /O) 共通部分のパラメータ範囲 4nの配列で、vecComSpan(4*i+0),vecComSpan(4*i+1)が自身のパラメータ範囲 (vecComSpan(4*i+0) < vecComSpan(4*i+1))、 vecComSpan(4*i+2),vecComSpan(4*i+3)がcurve2のパラメータ範囲戻り値：共通部分の数: 共通部分が求まった 0: 共通部分がなかった -1: 共通エッジの収束計算エラー -2: 共通エッジが４個以上求まった(のっていないと見なす) 追記：曲線が共通かどうかの誤差にはline_zero()を、パラメータ範囲の収束計算の誤差には、パラメータ範囲*rc_zero()を使用する。

MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual void MGCurve::convert_to_Bezier ( MGLBRep & bezier ) const

virtual

Convert this curve to Bezier curve.

If this is MGLBRep or MGStraight, the shape is exactly the same as the original. Otherwise, this is apporoximated by MGLBRep.

MGLBRep, MGStraightで再実装されています。

virtual MGCurve& MGCurve::coordinate_exchange	(	int	i,
		int	j
	)

pure virtual

Exchange ordering of the coordinates.

Exchange coordinates (i) and (j).

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual MGCurve* MGCurve::copy_as_nurbs ( ) const

pure virtual

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.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

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

pure virtual

Construct new curve object by changing the original object's space dimension.

Returned is a newed object, 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.

MGGeometryを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

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

virtual

Construct new curve object limitting the parameter range to prange.

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

MGLBRep, MGRLBRep, MGTrimmedCurveで再実装されています。

virtual double MGCurve::curvature ( double ) const

virtual

Return curvature at the given point.

When the curve is 2D, curvature has sign. when 3D, curvature is always plus. 与えられた点における曲線の曲率を返却する。

MGStraightで再実装されています。

MGCurve* MGCurve::curve ( )

inlinevirtual

Return curve pointer if this MGGel is an MGCurve, else return null.

MGGelを再実装しています。

const MGCurve* MGCurve::curve ( ) const

inlinevirtual

MGGelを再実装しています。

virtual double MGCurve::curvilinear_integral	(	double	t1,
		double	t2
	)		const

virtual

Compute curvilinear integral of the 1st two coordinates.

線積分を求める。 This integral can be used to compute area sorounded by the curve. Second form is from param_s() to param_e(); curvilinear_integral from t1 to t2 can be obtained by Integral of (x*dy-y*dx) about t, where curve is expressed by f(t)=(x(t),y(t)), dx=dx/dt, and dy=dy/dt.

MGLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual double MGCurve::curvilinear_integral ( ) const

inlinevirtual

MGCompositeCurveで再実装されています。

virtual void MGCurve::data_points_for_approximate_as_LBRep2	(	int	is,
		int	ie,
		MGKnotVector &	t,
		MGNDDArray &	tau,
		bool	neglectMulti = `false`
	)		const

protectedvirtual

Get data points for approximate_as_LBRep2.

引数

is	approximation parameter range, from knot_vector()[is].
ie	to [ie].
t	New knot configuration will be output. t's order is input. other information of t will be updated.
tau	Data point for t will be output.
neglectMulti	Indicates if multiple knots be kept. true: multiplicity is removed. false: multiplicity is kept.

MGSurfCurveで再実装されています。

virtual double MGCurve::deriv_length ( ) const

virtual

Compute mean length of 1st derivative vector.

MGUnit_vector MGCurve::direction ( const MGPosition & param ) const

virtual

Compute direction unit vector of the geometry.

MGGeometryを再実装しています。

virtual MGUnit_vector MGCurve::direction ( double ) const

virtual

Return tangent vector at the given point.

与えられた点における曲線の接ベクトルを返す。

MGStraightで再実装されています。

virtual void MGCurve::display_arrows ( mgSysGL & sgl ) const

virtual

MGGelを再実装しています。

virtual void MGCurve::display_break_points ( mgSysGL & sgl ) const

virtual

MGGelを再実装しています。

MGCompositeCurveで再実装されています。

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

virtual

引数

sgl	Sgl to make curvature pictures in.
scale	scaling of the graph.
density	densitiy of the graph.
use_radius	true:radius display, false:curvature display.

MGGelを再実装しています。

MGCompositeCurveで再実装されています。

virtual int MGCurve::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.

MGLBRep, MGRLBRep, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

int MGCurve::divide_number ( ) const

inline

get the a divide number for offset, intersection, or others.

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

virtual

Draw this curve into vbo, approximating with polyline.

引数

vbo	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.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual void MGCurve::drawWire	(	mgVBO &	vbo,
		double	span_length,
		int	line_density = `1`
	)		const

inlinevirtual

Draw this curve into vbo, approximating with polyline.

引数

vbo	Target graphic object.
span_length	Line segment span length.
line_density	line density to draw a surface in wire mode.

MGObjectを実装しています。

MGStraightで再実装されています。

virtual MGPosition MGCurve::end_point ( ) const

virtual

Return end point(終点を返却する)

MGStraightで再実装されています。

virtual MGVector MGCurve::eval	(	double	,
		int	nderiv = `0`,
		int	left = `0`
	)		const

pure virtual

Evaluate n'th derivative data.

n=0 means positional data evaluation.

引数

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

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual void MGCurve::eval_all	(	double	,
		MGPosition &	,
		MGVector &	,
		MGVector &
	)		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。

MGLBRep, MGEllipse, MGRLBRep, MGStraightで再実装されています。

virtual MGVector MGCurve::eval_deriv ( double ) const

virtual

Compute 1st derivative.

曲線上の与えられたパラメータ値における一次微分値をかえす。

MGEllipse, MGStraightで再実装されています。

void MGCurve::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.

(1)Search the common curve spans which have the distance within tolerance. (2)Compute the nearest points from npoint discrete points of this to curve2. Let sti=sts[i], then sti[0] is this curve's parameter value s, and sti[1] is the parameter value t of curve2 which is the nearest point from the point s. If this and curve2 have the minimum distance more than tolerance, sts.size()==1 and sts[0] is the minimum distance points of this and curve2.

引数

curve2	2nd target curve.
sts	Parameter values of this and curve2 will be output. sts[i] is i-th parameter value.
npoint	indicates how many discrete points be obtained.
tolerance	tolerance to get two edge to compute deviation.

virtual void MGCurve::eval_line	(	const MGNDDArray &	tau,
		MGBPointSeq &	value
	)		const

virtual

Evaluate line data at data point tau.

引数

tau	Data points.
value	Values evaluated. value(i,.)=eval(tau[i]);

MGLBRepで再実装されています。

virtual MGPosition MGCurve::eval_position ( double ) const

virtual

Compute positional data.

与えられたパラメータ値に相当する自身上の点を返す。

MGEllipse, MGStraightで再実装されています。

MGVector MGCurve::evaluate	(	const MGPosition &	t,
		const int *	nderiv = `0`
	)		const

virtual

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

引数

t	Parameter value. t's space dimension is geometry's manifold dimension.
nderiv	Order of derivative of i-th parameter in nderiv[i]. When nderiv=null, nderiv[i]=0 is assumed for all i.

MGGeometryを実装しています。

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

pure 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.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

void MGCurve::extrapolated_pp	(	double	tau,
		double	dk,
		MGPPRep &	pp
	)		const

protected

Obtain an extrapolated PP-Rep 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.
pp	PP-rep will be output.

virtual void MGCurve::Frenet_frame	(	double	t,
		MGUnit_vector &	T,
		MGUnit_vector &	N,
		MGUnit_vector &	B,
		double &	curvature,
		double &	torsion
	)		const

virtual

Compute Frenet_frame, curvature and torsion in 3D space.

引数

t	Input parameter value(パラメータ値)
T	Tangent
N	Principal Normal
B	Binormal
curvature	Curvature is always >=0.
torsion	Tortion

virtual void MGCurve::Frenet_frame2	(	double	t,
		MGVector &	V2,
		MGVector &	T,
		MGVector &	N,
		MGVector &	B
	)		const

virtual

Compute Frenet_frame, curvature and torsion in 3D space.

引数

t	Input parameter value(パラメータ値)
V2	2nd derivative at t.
T	Tangent
N	Principal Normal
B	Binormal

double MGCurve::get_average_tangent_length ( ) const

Get average tangent length.

The average means the average of start, mid, and end point's tangent.

virtual bool MGCurve::get_control_points ( MGBPointSeq & cpoints ) const

inlinevirtual

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.

MGLBRep, MGRLBRepで再実装されています。

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

Find C0 cotinuity parameter values o fhtis curve, and push back the parameter values to param. Obtained parameter values are pushed in ascending order.

bool MGCurve::has_same_direction_at	(	double	s,
		const MGCurve &	curve2,
		double	t
	)		const

Test if this curve has the same direction with curve2.

Test at the point s(of this) and t(of curve2). Function's return value is true if they have the same direction. "same direction" means their tangent vectors have the angle less than 90 degree.

virtual long MGCurve::identify_type ( ) const

pure virtual

Return This object's typeID.

MGGelを実装しています。

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual bool MGCurve::in_range ( double t ) const

virtual

Test if input parameter value is inside parameter range of the line.

MGStraight, MGTrimmedCurve, MGSurfCurveで再実装されています。

bool MGCurve::in_range ( const MGPosition & t ) const

virtual

Test if input parameter value is inside parameter range of the line.

MGGeometryを再実装しています。

virtual MGCCisect_list MGCurve::intersect ( const MGCurve & ) const

virtual

Curve to curve intersection.

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

protectedvirtual

Compute intersection point of 1D sub curve of original curve.

Parameter values of intersection point will be returned.

引数

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

MGLBRep, MGStraight, MGRLBRep, MGEllipse, MGCompositeCurve, MGTrimmedCurveで再実装されています。

MGCCisect_list MGCurve::intersect_brute_force ( const MGCurve & ) const

Curve to curve intersection.

Curve と Curve の交点を求める。

virtual int MGCurve::intersect_dnum ( ) const

pure virtual

Provide divide number of curve span for function intersect.

MGRLBRep, MGEllipse, MGStraight, MGTrimmedCurve, MGBSumCurve, MGSurfCurveで実装されています。

MGCSisect_list MGCurve::intersect_with_plane ( const MGPlane & surf ) const

intersections with a plane.

MGisects MGCurve::intersection ( const MGObject & obj2 ) const

virtual

Compute the intersections of two objects.

Intersections are obtained from two objects, which are known using the MGisects::object1() and object2(). ****NOTE**** When two objects' manifold dimension are the same, object1 is this object at the invocation of MGObject::intersection(), and object2 is the argument object. However, their manifold dimension are not the same, object1 is always the lower dimension's object and object2 is the higer dimension's object.

MGObjectを実装しています。

MGisects MGCurve::intersection ( const MGCurve & obj2 ) const

virtual

MGObjectを実装しています。

MGisects MGCurve::intersection ( const MGFSurface & obj2 ) const

virtual

MGObjectを実装しています。

MGisects MGCurve::intersection ( const MGSurface & obj2 ) const

virtual

MGObjectを実装しています。

MGisects MGCurve::intersection ( const MGFace & obj2 ) const

virtual

MGObjectを実装しています。

MGisects MGCurve::intersection ( const MGShell & obj2 ) const

virtual

MGObjectを実装しています。

virtual const MGLBRep* MGCurve::is_Bezier ( int ordr = 0 ) const

virtual

Test if this is a Bezier Curve.

Functions's return value is true if Bezier, false if not. If input ordr>=2, order is also tested if this Bezier's order is the same as input order. If input ordr<=1, any ordr>=2 is allowed for Bezier curve. Bezier curve is defined as follows. Here t=knot_vector(), k is this LBRep's order, n=bdim(), and m=(n-k)/(k-1). (1) n=k+(k-1)*m. (2) t(0)=t(1)=,...,=t(k-1)=0 (3) t(i)=t(i+1)=,...,=t(i+k-2)=j+1 for i=k, k+(k-1),...,k+j*(k-1) and j=0,...,m-1. (4) t(n)=t(n+1)=,...,=t(n+k-1)=m+1

MGLBRepで再実装されています。

bool MGCurve::is_closed ( ) const

inline

Test if this is a closed curve.

曲線が閉曲線かどうかを返す

bool MGCurve::is_closedWithError ( double err ) const

Terst if this is a closed curve, given the tolerance.

virtual bool MGCurve::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.

MGLBRep, MGRLBRep, MGStraightで再実装されています。

virtual bool MGCurve::is_endpoint_parameter ( double t ) const

virtual

Test if the input parameter t is the start point parameter or not.

MGStraightで再実装されています。

virtual bool MGCurve::is_linear ( MGStraight & straight ) const

virtual

Test if this cure is linear or not, that is, is straight or not.

MGStraight expression will be out to straight if this is linear or not. Function's return value is true if linear.

MGEllipse, MGStraightで再実装されています。

bool MGCurve::is_perpendicular	(	const MGPosition &	P,
		double	t
	)		const

Test if the vector from P to this->eval(t) is perpendicular.

Perpendicular to the tangent of this curve at t.

virtual bool MGCurve::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.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual bool MGCurve::is_startpoint_parameter ( double t ) const

virtual

Test if the input parameter t is the start point parameter or not.

MGStraightで再実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGCurve & curve2 ) const

pure virtual

Intersection of Curve and other geometry.

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGStraight & curve2 ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGRLBRep & curve2 ) const

virtual

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGEllipse & curve2 ) const

virtual

MGLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGLBRep & curve2 ) const

virtual

MGLBRep, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGSurfCurve & curve2 ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCCisect_list MGCurve::isect ( const MGBSumCurve & curve2 ) const

virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

MGCCisect_list MGCurve::isect ( const MGTrimmedCurve & curve2 ) const

MGCCisect_list MGCurve::isect ( const MGCompositeCurve & curve2 ) const

virtual MGCSisect_list MGCurve::isect ( const MGSurface & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGPlane & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGSphere & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGCylinder & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGSBRep & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGRSBRep & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCSisect_list MGCurve::isect ( const MGBSumSurf & surf ) const

pure virtual

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

MGCSisect_list MGCurve::isect ( const MGFSurface & fs ) const

inline

virtual MGCSisect_list MGCurve::isect ( const MGFace & ) const

virtual

MGStraightで再実装されています。

MGCFisect_vector MGCurve::isect ( const MGShell & shl ) const

Intersection of a shell and a curve.

MGCParam_list MGCurve::isect_1D	(	double	f,
		int	coordinate = `0`
	)		const

Compute intersection point of 1D sub curve of original curve.

Parameter values of intersection point will be returned.

引数

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

virtual MGCCisect_list MGCurve::isect_with_noCompoSC ( const MGSurfCurve & curve2 ) const

protectedvirtual

isect with SurfCurve whose m_curve is not a MGTrimmedCurve of MGCompositeCurve.

virtual MGCCisect_list MGCurve::isect_withC1LB ( const MGLBRep & curve2 ) const

protectedvirtual

Compute intersections with MGLBRep curve2 that does not have C0 continuity in it.

virtual double MGCurve::knot ( int i ) const

pure virtual

Access to i-th element of knot.

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual const MGKnotVector& MGCurve::knot_vector ( ) const

pure virtual

Returns the knot vector of the curve.

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

MGKnotVector& MGCurve::knot_vector ( )

Returns the knot vector of the curve.

virtual double MGCurve::length	(	double	t1,
		double	t2
	)		const

virtual

Cmpute curve length of the interval.

If t1 is greater than t2, return negative value. 与えられたパラメータ値間の曲線の長さを返す。パラメータが昇順で与えられたときは正値、降順のときは負値を返す。

MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual double MGCurve::length ( ) const

inlinevirtual

Compute whole curve length.

If the curve is infinite, return -1. 自身の曲線が有界の場合、その曲線の距離を返却する。非有界の場合はー１を返却をする。

MGEllipse, MGStraight, MGCompositeCurveで再実装されています。

virtual double MGCurve::length_param	(	double	t,
		double	len
	)		const

virtual

Inverse function of length.

Compute the point that is away from the point t by length len. lengthの逆関数。指定パラメータtで示される点から指定距離len 曲線上に沿って離れた点を示すパラメータ値を返す。

MGEllipse, MGStraight, MGTrimmedCurveで再実装されています。

virtual MGCurve& MGCurve::limit ( const MGInterval & rng )

pure virtual

Update this by limiting the parameter range of the curve.

自身に指定したパラメータ範囲のｌｉｍｉｔをつける.

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurve, mgTL2Polylineで実装されています。

MGCurve& MGCurve::limit	(	double	t0,
		double	t1
	)

int MGCurve::manifold_dimension ( ) const

inlinevirtual

Return manifold dimension, 0:point, 1:curve, 2:surface.

MGGelを再実装しています。

virtual void MGCurve::negate ( )

pure virtual

Negate the curve direction(曲線の方向を反転する).

MGGeometryを再実装しています。

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGBSumCurve, mgTL2Polylineで実装されています。

virtual double MGCurve::negate_param ( double t ) const

pure virtual

Obtain the parameter value to t when this curve is negated by "negate()".

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGBSumCurveで実装されています。

void MGCurve::negate_transform ( MGGeometry & boundary ) const

virtual

Transform the coordinates of boundary of this geometry so that new coordinate of boundary is the same coordinate as the new one of this geometry after negate() of this geometry is done. That is, boundary coordinates are parameter world of this geometry.

MGGeometryを実装しています。

virtual MGPvector<MGCurve> MGCurve::offset	(	double	ofs_value,
		const MGVector &	norm_vector = `mgNULL_VEC`
	)		const

virtual

Offset of costant deviation from this curve.

一定オフセット関数オフセット方向は、法線方向から見て入力曲線の進行方向左側を正とする。法線ベクトルがヌルの場合、始点において曲率中心方向を正とする。ただし、曲率中心へ曲率半径以上のオフセットは行わない。トレランスはline_zero()を使用している。戻り値は、オフセット曲線リストが返却される。 If the norm_vector is given, the positive offset direction decide to left hand side from ahead, or the direction to center of curvature at start parameter. the offset value is less than radius of curvature. line_zero() is used.

引数

ofs_value	オフセット量
norm_vector	法線ベクトル

MGStraight, MGCompositeCurveで再実装されています。

virtual MGPvector<MGCurve> MGCurve::offset	(	const MGLBRep &	ofs_value_lb,
		const MGVector &	norm_vector = `mgNULL_VEC`
	)		const

virtual

Offset of variable deviation from this curve.

可変オフセット関数オフセット量は空間次元1の線B表現で与えられる。オフセット方向は、法線方向から見て入力曲線の進行方向左側を正とする。法線ベクトルがヌルの場合、始点において曲率中心方向を正とする。ただし、曲率中心へ曲率半径以上のオフセットは行わない。トレランスはline_zero()を使用している。戻り値は、オフセット曲線リストが返却される。 If the norm_vector is given, the positive offset direction decide to left hand side from ahead, or the direction to center of curvature at start parameter. the offset value is less than radius of curvature. line_zero() is used.

引数

ofs_value_lb	空間次元１の線B表現で示したオフセット量
norm_vector	法線ベクトル

MGCompositeCurveで再実装されています。

virtual MGLBRep MGCurve::offset_c2	(	double	ofs_value,
		const MGVector &	norm_vector = `mgNULL_VEC`
	)		const

virtual

Costant offset curve of C2 continuous curve.

C2連続曲線の一定オフセット関数オフセット方向は、法線方向から見て入力曲線の進行方向左側を正とする。法線ベクトルがヌルの場合、始点において曲率中心方向を正とする。ただし、曲率中心へ曲率半径以上のオフセットは行わない。トレランスはline_zero()を使用している。戻り値は、オフセット曲線が返却される。 costant offset curve of C2 continuous curve. if the norm_vector is given, the positive offset direction decide to left hand side from ahead, or the direction to center of curvature at start parameter. the offset value is less than radius of curvature. line_zero() is used.

引数

ofs_value	オフセット量
norm_vector	法線ベクトル

MGCompositeCurveで再実装されています。

virtual MGLBRep MGCurve::offset_c2	(	const MGLBRep &	ofs_value_lb,
		const MGVector &	norm_vector = `mgNULL_VEC`
	)		const

virtual

Valuable offset curve of C2 continuous curve.

C2連続曲線の可変オフセット関数オフセット量は空間次元1の線B表現で与えられる。オフセット方向は、法線方向から見て入力曲線の進行方向左側を正とする。法線ベクトルがヌルの場合、始点において曲率中心方向を正とする。ただし、曲率中心へ曲率半径以上のオフセットは行わない。トレランスはline_zero()を使用している。戻り値は、オフセット曲線が返却される。 valuable offset curve of C2 continuous curve. if the norm_vector is given, the positive offset direction decide to left hand side from ahead, or the direction to center of curvature at start parameter. the offset value is less than radius of curvature. line_zero() is used.

引数

ofs_value_lb	空間次元１の線B表現で示したオフセット量
norm_vector	法線ベクトル

MGCompositeCurveで再実装されています。

virtual bool MGCurve::on	(	const MGPosition &	point,
		double &	t
	)		const

virtual

Test if given point is on the curve or not.

If given point is on the curve, return parameter value of the curve. Even if not, return nearest point's parameter t. 指定点が自身上にあるかを調べる。曲線上にあれば，そのパラメーター値を，なくても最近傍点のパラメータ値を返す。 Function's return value is >0 if the point is on the curve, and 0 if the point is not on the curve.

引数

point	point(指定点)
t	Parameter of the curve(パラメータ) will be returned.

MGEllipse, MGStraight, MGCompositeCurveで再実装されています。

bool MGCurve::on	(	const MGPosition &	P,
		MGPosition &	t
	)		const

Test if given point is on this geometry or not.

If the point is on this geometry, return parameter value of the geometry. Even if not, return nearest point's parameter. 指定点が自身上にあるかを調べる。曲線上にあれば，そのパラメーター値を，なくても最近傍点のパラメータ値を返す。 Function's return value is >0 if the point is on the geometry, and 0 if the point is not on the geometry.

引数

P	Point(指定点)
t	Parameter of the geometry(パラメータ)

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

protectedpure virtual

Obtain transformed 1D curve expression of this curve.

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.

MGLBRep, MGStraight, MGRLBRep, MGEllipse, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator*= ( double scale )

pure virtual

MGObjectを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator*= ( const MGMatrix & mat )

pure virtual

MGObjectを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator*= ( const MGTransf & tr )

pure virtual

MGObjectを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator+= ( const MGVector & v )

pure virtual

Object transformation.

MGObjectを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator-= ( const MGVector & v )

pure virtual

MGObjectを実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGBSumCurveで実装されています。

virtual bool MGCurve::operator< ( const MGGel & gel2 ) const

pure virtual

MGGelを再実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::operator= ( const MGCurve & gel2 )

inlinevirtual

Assignment.

When the leaf object of this and geo2 are not equal, this assignment does nothing.

virtual bool MGCurve::operator== ( const MGCompositeCurve & crv ) const

virtual

Comparison.

MGCompositeCurve, MGTrimmedCurveで再実装されています。

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

virtual

MGCompositeCurve, MGTrimmedCurveで再実装されています。

virtual bool MGCurve::operator== ( const MGGel & gel2 ) const

pure virtual

Comparison.

MGGelを再実装しています。

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual int MGCurve::order ( ) const

pure virtual

Returns the order.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual std::ostream& MGCurve::out ( std::ostream & ) const

virtual

Output virtual function.

MGGeometryを再実装しています。

MGLBRep, MGRLBRep, MGStraight, MGEllipse, MGCompositeCurve, MGSurfCurve, MGTrimmedCurve, MGBSumCurve, mgTL2Polylineで再実装されています。

virtual double MGCurve::param ( const MGPosition & ) const

virtual

Compute parameter value of given point.

自身の上の指定点を表すパラメータ値を返す。 If input point is not on the curve, return the nearest point on the curve.

MGStraightで再実装されています。

virtual double MGCurve::param_e ( ) const

pure virtual

Return ending parameter value.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual double MGCurve::param_error ( ) const

virtual

Obtain parameter space error.

MGStraightで再実装されています。

virtual double MGCurve::param_normalize ( double t ) const

pure virtual

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

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGInterval MGCurve::param_range ( ) const

virtual

Return parameter range of the curve(パラメータ範囲を返す).

MGStraight, MGTrimmedCurve, MGSurfCurveで再実装されています。

double MGCurve::param_round_into_range ( double t ) const

Round the parameter t into this parameter range.

virtual double MGCurve::param_s ( ) const

pure virtual

Return starting parameter value.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

double MGCurve::param_se ( double t ) const

Return starting or ending parameter value that is nearer to the param t.

virtual double MGCurve::param_span ( ) const

inlinevirtual

Compute parameter span length.

MGBox MGCurve::parameter_range ( ) const

virtual

Return parameter range of the geometry(パラメータ範囲を返す).

MGGeometryを実装しています。

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

pure 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	Start prameter value.
t2	End prameter value.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual int MGCurve::perp_guess	(	double	t0,
		double	t1,
		const MGPosition &	P,
		double	tg,
		double &	t
	)		const

virtual

Return perpendicular point from a point P.

Given guess starting paramter values. Function's return value is: perp_guess=true if perpendicular points obtained, perp_guess=false if perpendicular points not obtained,

引数

t0	parameter range of this, start.
t1	End. (t0>=t1) indicates no range specified.
P	Point(指定点)
tg	Guess parameter values of this curve.
t	Output parameter

MGCompositeCurveで再実装されています。

virtual int MGCurve::perp_guess	(	double	s0,
		double	s1,
		const MGCurve &	curve2,
		double	t0,
		double	t1,
		double	sg,
		double	tg,
		MGPosition &	st
	)		const

virtual

Return perpendicular points of two curves.

Given guess starting paramter values. Function's return value is: perp_guess=true if perpendicular points obtained, perp_guess=false if perpendicular points not obtained,

引数

s0	parameter range of this, start.
s1	End. <When s0>="">=s1, no limit for this parameter range.
curve2	2nd curve.
t0	parameter range of curve2, start.
t1	End. When t0>=t1, no limit for curve2 parameter range.
sg	Guess parameter values of the two curves, for this.
tg	curve2's parameter.
st	perpendicular points' parameter values will be output. st(0): this curve's parameter, st(1):curve2's parameter.

MGCompositeCurveで再実装されています。

virtual int MGCurve::perp_point	(	const MGPosition &	p,
		double &	t,
		const double *	g = `0`
	)		const

virtual

Compute a foot point of the perpendicular line from point p to the curve.

If more than one points are found, return nearest one. 指定点からの自身への垂線の足とパラメータ値を返す。 Function's return value is if point is obtained(1) or not(0)

引数

p	Point(指定点)
t	Parameter of the curve(パラメータ値)
g	guess parameter value of line

MGEllipse, MGStraightで再実装されています。

MGPosition_list MGCurve::perpendiculars ( const MGCurve & crv ) const

Compute all the perpendicular points of this curve and the second one.

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. **** NOTE 1 **** perpendiculars is general function of perps, used in perps. General users should use function perps, not perpendiculars, since perps is optimized for each curve type. **** NOTE 2 **** perpendiculars can not be used for infinite parameter range curve. param_s() and param_e() of both curves must return their finite parameter range. MGPosition P in the MGPosition_list contains this and crv's parameter as: P(0)=this curve's parameter, P(1)=crv's parameter value.

引数

crv	The second curve

virtual MGCParam_list MGCurve::perps ( const MGPosition & P ) const

virtual

Compute all foot points of the perpendicular line from point to the curve.

与ポイントから曲線へ下ろした垂線の足の，曲線のパラメータ値をすべて求める。

引数

P	Point(指定点)

MGLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurveで再実装されています。

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

pure 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)=curve2's parameter value.

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGPosition_list MGCurve::perps ( const MGStraight & crv2 ) const

pure virtual

MGLBRep, MGEllipse, MGRLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

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

virtual

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGPosition_list MGCurve::perps ( const MGEllipse & crv2 ) const

virtual

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGPosition_list MGCurve::perps ( const MGLBRep & crv2 ) const

virtual

MGLBRep, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGPosition_list MGCurve::perps ( const MGSurfCurve & crv2 ) const

virtual

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual MGPosition_list MGCurve::perps ( const MGBSumCurve & crv2 ) const

virtual

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

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

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

virtual MGPosition_list MGCurve::perps_with_noCompoSC ( const MGSurfCurve & curve2 ) const

protectedvirtual

Perpendicular points of this to curve2.

curve2 is a MGSurfcurve and the composite parameter curve must not a MGTrimmedCurve of MGCompositeCurve.

virtual MGPosition_list MGCurve::perps_withC1LB ( const MGLBRep & lbC1 ) const

protectedvirtual

Perpendicular points with C1 conitnuity LBRep.

MGPosition P in the MGPosition_list contains this and crv's parameter as: P(0)=this curve's parameter, P(1)=crv's parameter value.

MGPosition_list MGCurve::perpsSl ( const MGStraight & sl ) const

protected

Perpendicular points with straight.

MGPosition P in the MGPosition_list contains this and crv's parameter as: P(0)=this curve's parameter, P(1)=crv's parameter value.

引数

sl	The second curve

virtual MGPosition MGCurve::pick_closest ( const MGStraight & sl ) const

virtual

Compute the parameter value of the closest point from the straight to this object.

sl is the eye projection line whose direction is from yon to hither, and if sl had multiple intersection points, The closest point to the eye will be selected.

MGObjectを再実装しています。

virtual std::auto_ptr<MGLBRep> MGCurve::PolarCoordinatesLBRep ( ) const

virtual

Obtain polar coordinates system MGLBRep of this curve.

This curve's (x,y) coordinates are changed polar coordinates system(r,theta) where r is the distance from origin and theta is the angel with x coordinate. The space dimension of this curve must be >=2; If this space dimension is lager than 2, the remaining coordinates are set unchanged to MGLBRep.

virtual void MGCurve::polygonize	(	double	error,
		MGLBRep &	lb2
	)		const

virtual

Approximate this curve by a polyline and output to lb2.

The tolerance of the approximation is error.

引数

error	tolerance allowed for the approximation
lb2	Obtained polyline will be output as an MGLBRep of order2.

MGCompositeCurveで再実装されています。

virtual int MGCurve::project	(	const MGFSurface &	surf,
		MGPvector< MGCurve > &	vec_crv_uv,
		MGPvector< MGCurve > &	vec_crv,
		const MGVector &	vec
	)		const

virtual

Obtain the projected curve of a curve onto the surface.

投影曲線は面上のパラメータ曲線と3次元曲線としてそれぞれ順番に、 vec_crv_uv, vec_crvに格納される。 uv曲線のトレランスはrc_zero()を、3次元曲線はline_zero()をそれぞれ使用している。 get perpendicular or vector projection curve list. uv projection curves are put into vec_crv_uv(rc_zero() is used), 3d projection curves are put into vec_crv(line_zero() is used) respectively. 投影曲線の数: 投影曲線が求まった 0: 投影曲線が求まらなかった -1: 内部処理エラー -2: 収束処理エラー（収束しなかった）追記：引数vecが与えられない(null）とき、面直投影する。 Obtain the projected curve of a curve onto the surface. The direction of the projection is along the vector vec if the vec is not NULL, and normal to the surface if the vec is NULL. Output of 'project' is two kind of curves: one is general world coordinate curves('vec_crv'), and the other is (u,v) curves of the parameter space of the surfaces(vec_crv_uv). vec_crv_uv.size() is equal to vec_crv.size(). Let the size be n, then (vec_crv_uv[i], vec_crv[i]) is one pair for 0<=i<n. Function's return value is: >=0: number of curves obtained, <0 : Some error detected.

MGLBRep, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurveで再実装されています。

virtual double MGCurve::range ( double t ) const

virtual

Round t into curve's parameter range.

入力パラメータをパラメータ範囲でまるめて返却する。

MGStraight, MGTrimmedCurve, MGSurfCurveで再実装されています。

MGPosition MGCurve::range ( const MGPosition & t ) const

Round t into geometry's parameter range.

入力パラメータをパラメータ範囲でまるめて返却する。 t's space dimension is geometry's manifold dimension.

virtual void MGCurve::ReadMembers ( MGIfstream & buf )

protectedvirtual

メンバデータを読み出す関数.

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。

MGGeometryを再実装しています。

MGLBRep, MGStraight, MGRLBRep, MGEllipse, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで再実装されています。

std::auto_ptr<MGCurve> 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.

引数

how_rebuild	intdicates how rebuild be done. =0: no approximation(only parameter change) =1: if this is rational spline(MGRLBRep), reconstructed with new knot configuration as rational spline(MGRLBRep). Otherwise approximated by non-rational spline(MGLBRep) with new knot configuration. =2: approximated by non-rational spline(MGLBRep) with new knot configuration if this is rational spline. If this is not rational spline, same as =1.
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. =3: specify parameter range in param_range.
tol	tolerance allowed for the approximation When tol<=0., MGTolerance::line_zero() will be employed.
ordr	order of the new MGLBRep, >=4 is recommended. When order=0 is input, the original order is unchanged if this curve is MGLBRep or MGRLBRep. Otherwise order is set to 4.
param_range	Input new paramter range, from param_range[0] to param_range[1]. When param_range=0, parameter_normalization is set to 2 and the starting parameter is set to 0.

virtual void MGCurve::remove_knot ( )

virtual

Remove redundant knot, and reduce the b-rep dimension.

ノット削除関数(B表現曲線のみ) 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 Remove redundant knot, and reduce the b-rep dimension. The tolerance used is MGTolerance::line_zero().

MGLBRep, MGRLBRep, MGCompositeCurveで再実装されています。

virtual MGCurve& MGCurve::rotate_self	(	const MGVector &	v,
		double	,
		const MGPosition &	= `mgORIGIN`
	)

virtual

Update curve by rotating around straight line.

指定点を通る指定ベクトルを軸として回転させたものを自身とする。

引数

v	Vector of the line to rotate around.

std::auto_ptr<MGLBRep> MGCurve::scalePolar	(	double	angleBase,
		double	angle1,
		double	angle2
	)		const

Obtain polar-rotated curve of this.

This curve's (x,y) are updated. No other coordinates are unchanged. The returned curve is always MGLBRep. Rotation is performed from angle1 to angle2, around angleBase. That is, when angle1=angle2, no change is done. When angle2 is angleBase, all the data will lie on the straight of from origin to (cos(angleBase), sin(angleBase)).

引数

angleBase	base angle.
angle1	1st angle.
angle2	2nd angle.

virtual int MGCurve::sdim ( ) const

pure virtual

Return space dimension.

MGGeometryを実装しています。

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGPosition MGCurve::start_point ( ) const

virtual

Return start point(始点を返却する).

MGStraightで再実装されています。

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

pure 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.

MGLBRep, MGStraight, MGEllipse, MGRLBRep, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual int MGCurve::tangent_guess	(	double	t0,
		double	t1,
		const MGPosition &	P,
		double	tg,
		double &	t
	)		const

virtual

Return tangent point from a point P, given guess starting paramter tg.

Searching is done only from t0 to t1.

引数

t0	parameter range of this, starting.
t1	Ending. If t0>t1, whole range of this.
P	Point(指定点)
tg	Guess parameter values of the two curves
t	Output parameter

void MGCurve::trim_end ( double t )

Trim the end part of this curve at the parameter t.

The new curve range is [start_of_original, t] t must be inside this parameter rage, else does nothing.

void MGCurve::trim_start ( double t )

Trim the start part of this curve at the parameter t.

The new curve range is [t,end_of_original] t must be inside this parameter rage, else does nothing.

void MGCurve::trim_start_and_end	(	double	ts,
		double	te
	)

Trim the start part and end part of this curve at the parameter ts and te.

The new curve range is [ts,te] Both ts and te must be inside this parameter rage.

virtual MGCURVE_TYPE MGCurve::type ( ) const

pure virtual

Return curve type(曲線のタイプを返す).

MGLBRep, MGStraight, MGRLBRep, MGEllipse, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::unlimit ( )

pure virtual

Unlimit parameter range of the curve(limitをはずす).

MGLBRep, MGStraight, MGRLBRep, MGCompositeCurve, MGEllipse, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::unlimit_end ( )

pure virtual

Unlimit parameter range of the curve to the end point direction.

(終点方向にlimitをはずす)

MGLBRep, MGStraight, MGRLBRep, MGCompositeCurve, MGEllipse, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual MGCurve& MGCurve::unlimit_start ( )

pure virtual

Unlimit parameter range of the curve to the start point direction.

(始点方向にlimitをはずす)

MGLBRep, MGStraight, MGRLBRep, MGCompositeCurve, MGEllipse, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで実装されています。

virtual void MGCurve::update_mark ( )

inlineprotectedvirtual

Mark this as updated.

MGGeometryを再実装しています。

virtual std::string MGCurve::whoami ( ) const

inlinevirtual

MGGeometryを再実装しています。

MGLBRep, MGRLBRep, MGEllipse, MGStraight, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで再実装されています。

virtual void MGCurve::WriteMembers ( MGOfstream & buf ) const

protectedvirtual

メンバデータを書き込む関数.

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。

MGGeometryを再実装しています。

MGLBRep, MGStraight, MGRLBRep, MGEllipse, MGCompositeCurve, MGTrimmedCurve, MGSurfCurve, MGBSumCurveで再実装されています。

このクラス詳解は次のファイルから抽出されました:

mg/Curve.h

公開メンバ関数

限定公開メンバ関数

その他の継承メンバ

詳解

構築子と解体子

関数詳解