Defines Surface B-Representation, that is , B-Spline surface. [詳解]

MGSBRep の継承関係図

公開メンバ関数
	MGSBRep ()
	Default constructor(dummy surface brep). [詳解]

	MGSBRep (const MGSPointSeq &vertex, const MGKnotVector &tu, const MGKnotVector &tv)

	MGSBRep (const MGSPointSeq &points, int orderu=4, int orderv=4)

	MGSBRep (const MGNDDArray &utau, const MGNDDArray &vtau, const MGSPointSeq &points, const MGKnotVector &tu, const MGKnotVector &tv)

	MGSBRep (const MGSBRepTP &tp, const MGNDDArray &utau, const MGNDDArray &vtau, const MGVector uvec[4], const MGVector vvec[4], const MGSPointSeq &points)

	MGSBRep (MGSBRepEndC &endc, const MGNDDArray &utaui, const MGNDDArray &vtaui, const MGSPointSeq &value)

	MGSBRep (MGSBRepEndC &endc, int orderu, int orderv, const MGNDDArray &utaui, const MGNDDArray &vtaui, const MGSPointSeq &value)

	MGSBRep (MGSBRepEndC &endc, const MGNDDArray &utaui, const MGNDDArray &vtaui, const MGSPointSeq &value, const MGKnotVector &tu, const MGKnotVector &tv)

	MGSBRep (const MGLBRep &lbrep, const MGUnit_vector &uvec, double start_dist, double end_dist)

	MGSBRep (const MGNDDArray &utau, const MGNDDArray &vtau, const MGSPointSeq &value, int orderu=4, int orderv=4)

	MGSBRep (const MGStraight &st, const MGUnit_vector &uvec, double start_dist, double end_dist)

	MGSBRep (const MGNDDArray &tau, const std::vector< MGLBRep * > &lines, const MGLBRep deriS, const MGLBRep deriE)

	MGSBRep (const MGSBRep &old_brep, const MGKnotVector &ut, const MGKnotVector &vt, int &error)

	MGSBRep (const MGNDDArray &utau, const MGNDDArray &vtau, const MGSPointSeq &points, const MGKnotVector &tu, const MGKnotVector &tv, const MGSPointSeq &weight)
	Obtain Surface B-Rep by Least square approximation. [詳解]

	MGSBRep (const MGNDDArray &utau, const MGNDDArray &vtau, const MGSPointSeq &points, const MGSPointSeq &dp, double deviation)

	MGSBRep (const MGCurve *edge_crvl[4], const MGCurve &blendCrvU, const MGCurve &blendCrvV, const MGSBRepTP &tp, int &error)

	MGSBRep (MGPvector< MGLBRep > &edges, int &error, const MGCurve blendCrvU=0, const MGCurve blendCrvV=0)

	MGSBRep (const MGCurve edge_crvl[4], const MGSBRepTP &tp, int &error, const double alpha=0)

	MGSBRep (bool along_u, const MGPvector< MGLBRep > &perimeters)

	MGSBRep (const MGSBRep &old_brep, const MGKnotArray &uknots, const MGKnotArray &vknots)
	Gets new B-Rep by adding knots to an original B-Rep. [詳解]

	MGSBRep (const MGSBRep &brep1, int which1, int continuity, const MGSBRep &brep2, int which2, int opposite)

	MGSBRep (const MGBox &uvrange, const MGSBRep &old_brep, int multiple=0)

	MGSBRep (int dim, const MGSBRep &sbrep, int start1=0, int start2=0)

	MGSBRep (const MGPlane &plane, const MGBox &prange)
	Construct a Surface B-Rep (order = 2 ) from Plane and Parameter ranges. [詳解]

	MGSBRep (const std::vector< const MGCurve * > &curves, bool direction_adjustment=true)

	MGSBRep (const MGPvector< MGCurve > &curves, bool direction_adjustment=true)

MGSBRep &	operator= (const MGGel &gel2)

MGSBRep &	operator= (const MGSBRep &gel2)

MGSBRep	operator+ (const MGVector &) const

MGSBRep	operator- (const MGVector &) const

MGSBRep	operator* (double) const

MGSBRep	operator* (const MGMatrix &) const

MGSBRep	operator* (const MGTransf &) const

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

MGSBRep &	operator-= (const MGVector &v)

MGSBRep &	operator*= (double scale)

MGSBRep &	operator*= (const MGMatrix &mat)

MGSBRep &	operator*= (const MGTransf &tr)

bool	operator== (const MGSBRep &gel2) const
	Comparison of two objects. [詳解]

bool	operator< (const MGSBRep &gel2) const

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

bool	operator< (const MGGel &gel2) const

bool	operator!= (const MGGel &gel2) const

bool	operator!= (const MGSBRep &gel2) const

bool	operator== (const MGRSBRep &gel2) const

int	bdim_u () const
	Returns B-Rep Dimension of u. [詳解]

int	bdim_v () const
	Returns B-Rep Dimension of v. [詳解]

MGBox	box_limitted (const MGBox &uvrange) const
	Compute minimum box that includes the linitted parameter range surface. [詳解]

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

MGSBRep &	change_range (int is_u, double t1, double t2)

double &	coef (int i, int j, int k)
	Access to (i,j)th element of coef(left-hand side version). [詳解]

double	coef (int i, int j, int k) const
	Access to (i,j)th element of coef(right-hand side version). [詳解]

MGVector	coef (int i, int j) const
	Extract (i,j,k) elements for 0<=k<sdim() as a vector. [詳解]

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

int	continuity (const MGSBRep &brep2, int &which1, int &which2, int &opposite, double &ratio) const

MGSBRep *	clone () const

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

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

int	divide_multi_knot (MGPvector< MGSurface > &srfl) const

MGVector	eval (double u, double v, int ndu=0, int ndv=0) const

MGVector	eval (const MGPosition &uv, int ndu=0, int ndv=0) const
	Evaluate surface data. [詳解]

void	eval_all (double u, double v, MGPosition &f, MGVector &fu, MGVector &fv, MGVector &fuv, MGVector &fuu, MGVector &fvv) const

void	eval_all (double u, double v, int ndu, int ndv, double *deriv) const

MGSurface &	exchange_uv ()
	Exchange parameter u and v. [詳解]

MGSBRep &	extend (int perimeter, double param, double length, double dk=0.)

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

bool	in_range (double u, double v) const
	Test if input parameter value is inside parameter range of the surface. [詳解]

bool	in_range (const MGPosition &uv) const

MGCSisect_list	isect (const MGCurve &curve) const

MGCSisect_list	isect (const MGStraight &sl) const

MGCSisect_list	isect (const MGRLBRep &curve) const

MGCSisect_list	isect (const MGEllipse &curve) const

MGCSisect_list	isect (const MGLBRep &curve) const

MGCSisect_list	isect (const MGSurfCurve &curve) const

MGCSisect_list	isect (const MGBSumCurve &curve) const

MGSSisect_list	isect (const MGSurface &srf2) const

MGSSisect_list	isect (const MGPlane &srf2) const

MGSSisect_list	isect (const MGSphere &srf2) const

MGSSisect_list	isect (const MGCylinder &srf2) const

MGSSisect_list	isect (const MGSBRep &srf2) const

MGSSisect_list	isect (const MGRSBRep &srf2) const

MGSSisect_list	isect (const MGBSumSurf &srf2) const

double &	knot_u (int i)
	Access to i-th element of u knot //(right-hand side version) [詳解]

double	knot_u (int i) const

double &	knot_v (int i)

double	knot_v (int i) const

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

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

const MGKnotVector &	knot_vector_u () const
	Returns the u knot vector. [詳解]

MGKnotVector &	knot_vector_u ()

const MGKnotVector &	knot_vector_v () const
	Returns the v knot vector. [詳解]

MGKnotVector &	knot_vector_v ()

bool	less_than (int i, const MGPosition &uv1, const MGPosition &uv2) const

MGSBRep &	limit (const MGBox &uvrange)

MGSBRep &	move (int move_kind_u, int move_kind_v, const MGPosition &move_point_param, const MGPosition &to_point, const MGPosition fix_point[2])

void	negate (int is_u)
	Change direction of the surface. [詳解]

MGPosition	negate_param (const MGPosition &uv, int is_u=1) const

int	order_u () const
	Returns the B-Rep order(u-direction). [詳解]

int	order_v () const
	Returns the B-Rep order(v-direction). [詳解]

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

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

double	param_e_v () const

MGCurve *	parameter_curve (int is_u, double x) const

MGLBRep	parameter_line (int is_u, double x, int nderiv=0) const
	Compute parameter line. [詳解]

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

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

double	param_s_v () const

MGSBRep *	part (const MGBox &uvbx, int multiple=0) const

MGLBRep	perimeter (int i) const

int	perimeter_num () const
	Return how many perimeters this surface has. [詳解]

int	planar (MGPlane &plane, double &deviation) const

int	planar (const MGBox &uvbox, double tol, int *divideU=0) const

std::auto_ptr< MGSBRep >	rebuild (int how_rebuild=1, int parameter_normalization=2, double tol=-1., int *order=0) const

int	reduce (int is_u, int ndec)

MGSBRep &	refine (const MGKnotVector &uknot, const MGKnotVector &vknot)

void	remove_knot ()

int	remove_knot_one (double line0, int id, double &tol, bool u_knot=true)

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

void	shrink_to_knot (const MGBox &uvbx, int multiple=0)

const MGSPointSeq &	surface_bcoef () const
	Returns the B-coef's. [詳解]

MGSPointSeq &	surface_bcoef ()
	Returns the B-coef's. [詳解]

MGSURFACE_TYPE	type () const

MGSurface &	unlimit ()

int	out_to_IGES (MGIgesOfstream &igesfile, int SubordinateEntitySwitch=0) const
	IGES output function. PD128(NURBS Surface). [詳解]

std::ostream &	out (std::ostream &) const
	Debug Function. [詳解]

std::string	whoami () const

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

	MGSurface (const MGSurface &srf)
	Copy Constructor. [詳解]

virtual	~MGSurface ()

virtual MGSurface &	operator= (const MGSurface &gel2)

std::auto_ptr< MGSBRep >	approximate_as_SBRep (int parameter_normalization=2, double tol=-1., int *order=0) const
	Approximate this surface as an MGSBRep. [詳解]

double	average_chord_length (int is_u, const double para[3], const MGNDDArray &tau) const

void	arrow (double u, double v, MGPosition data[10]) const
	Generate arrow data of the tangent along u and v and the normal. [詳解]

void	arrow (const MGPosition &uv, MGPosition data[10]) const

void	arrow (const MGBox &box, double u, double v, MGPosition data[10]) const
	Generate arrow data, given box. The length of the arrows are defined from box.len(). [詳解]

MGBox	box_param () const
	Return box of the parameter space of the surface. [詳解]

const MGBox	box_param2 () const
	Return box of the parameter space of the FSurface after trimmed one. [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 int	coef_sdim () const
	Obtain coefficient's space dimension. [詳解]

virtual MGFSurface *	clone_fsurface () const
	Get the clone of this MGFSurface. [詳解]

MGFace *	clone_as_face () const
	Get the clone of this as a MGFace. [詳解]

virtual MGPosition	closest (const MGPosition &point) const
	Compute the closest point parameter value (u,v)of this surface from a point. [詳解]

virtual MGPosition	closest_on_perimeter (const MGPosition &point) const
	Compute the closest point on all the perimeters of the surface. [詳解]

virtual MGPosition	closest_on_perimeter (const MGStraight &sl) const

virtual MGPosition	closest_on_boundary (const MGStraight &sl) const
	Compute closest point from a line to the boundary of the MGFSurface. [詳解]

void	compute_sample_point (double u0, double u1, double v0, double v1, MGPosition Pn[9], MGPosition &center, MGUnit_vector &normal, MGVector *Nn_in=0) const
	compute sample point of the surface to get the approximate plane. [詳解]

void	curvatures (const MGPosition &uv, double value[4], MGUnit_vector &N) const
	Compute surface curvatures. [詳解]

void	curvatures (double u, double v, double value[4], MGUnit_vector &N) const

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

virtual void	drawWire (mgVBO &vbo, double span_length, int line_density=1) const
	Draw 3D curve in world coordinates. [詳解]

virtual MGSurface *	copy_surface () const
	Construct new curve object by copying to newed area. [詳解]

virtual void	display_arrows (mgSysGL &sgl) const

int	equal_direction (const MGCurve &param_curve, const MGCurve &world_curve) const
	Compute if MGSurfCurve scurve(*this, param_curve) has the same direction to world_curve. [詳解]

MGVector	eval (const MGPosition &uv, int ndu=0, int ndv=0) const

virtual void	eval_spoint (const MGNDDArray &utau, const MGNDDArray &vtau, MGSPointSeq &spoint) const
	Evaluate all the points (ui, vj) into spoint(i,j,.). [詳解]

virtual void	eval_all (const MGPosition &uv, MGPosition &f, MGVector &fu, MGVector &fv, MGVector &fuv, MGVector &fuu, MGVector &fvv) const
	Evaluate right continuous surface data. [詳解]

double	eval_gap (const MGCurve &curve, int iperi, MGPosition &uv) const
	evaluate gap between this surface's perimeter iperi and the given curve curve. [詳解]

double	eval_gap (const MGCurve *curve[4], MGPosition &uv) const
	evaluate gap between this surface's perimeters and the given curve curve. [詳解]

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

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

MGFSurface *	fsurface ()

void	fundamentals (const MGPosition &uv, double Q[6], MGUnit_vector &UN) const
	Compute 1st and 2nd fundamental quantities of the surface. [詳解]

void	fundamentals (double u, double v, double Q[6], MGUnit_vector &N) const

void	get_approximate_plane (double u0, double u1, double v0, double v1, MGPlane &plane, double width=0, double height=0) const
	Compute the approximate plane in the parameter range from (u0, v0) to (u1,v1). [詳解]

MGFace *	get_face_pointer ()
	get face pointer if this is MGFace, else null will be returned. [詳解]

const MGFace *	get_face_pointer () const

int	getPerimeterCommon (const MGCurve &crv, std::vector< double > pspan[2], int peri_num[2]) const
	Compute common curve part of this surface's perimeter and the crv. [詳解]

MGSurface *	get_surface_pointer ()
	get surface pointer. Null will never be returned if this is valid MGFSurface. [詳解]

const MGSurface *	get_surface_pointer () const

virtual int	get_number_of_boundaries () const
	Get number of inner boundaries as the output of the function. [詳解]

MGCurve *	get_parameterCurve (const MGCurve &wcrv) const
	Given world curve wcrv on this face, get the parameter space representation pcrv. [詳解]

void	get_new_surface_knots (int parameter_normalization, MGKnotVector &uknots, MGKnotVector &vknots, double *Oldparameter=0) const
	Given MGSBRep or MGRSBRep as srf, compute normalize MGKnotVector along u and v. [詳解]

virtual bool	on_a_perimeter (double &u, double &v, int &perim_num) const
	Test if input (u,v) is parameter value on a perimeter of the surface. [詳解]

bool	on_a_perimeter2 (int is_u, double &x, int &perim_num) const
	Test if input x is parameter value on a perimeter of the surface. [詳解]

virtual bool	has_commonFS (const MGObject &obj2) const
	Test if this and 2nd object has common area about their box(),taking error into account. [詳解]

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

virtual void	triangulate (const MGDrawParam &para, MGCL::TL_DATA_KIND dkind, std::vector< mgTL2Triangles > &trisVec) const
	Triangulate this object(MGShell, MGFace, or MGSurface is the target). [詳解]

bool	test_and_get_approximate_plane (double u0, double u1, double v0, double v1, double surface_tol, double angle, MGPlane &plane, double &width, double &height) const
	Compute the approximate plane in the parameter range from (u0, v0) to (u1,v1). [詳解]

bool	in_range (const MGPosition &uv) const

int	in_range_with_on (const MGPosition &uv) const
	Test if (u,v) is inside the face. [詳解]

bool	is_flat_and_small (const MGBox &bx, double surftol, double melen2, bool &direction) const
	Test if surface limitted by the parameter range bx is flat and small. [詳解]

virtual MGPvector< MGCurve >	inner_boundary (int i) const
	Obtain i-th inner_boundary curves(world coordinates representation) of the FSurface. [詳解]

virtual MGPvector< MGCurve >	inner_boundary_param (int i) const
	Obtain i-th inner_boundary curves. [詳解]

MGCSisect_list	intersect (const MGCurve &curve) const
	Default surface-curve intersection function. [詳解]

MGCSisect_list	intersect (const MGEllipse &el) const
	Default surface-curve intersection function. [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

MGSSisect_list	isect (const MGFace &f) const

MGSSisect_list	isect (const MGFSurface &fsurf) const

MGHHisect_vector	isect (const MGShell &shl) const
	Intersection. [詳解]

int	manifold_dimension () const
	Get manifold dimension. [詳解]

virtual void	negate ()
	Negate direction of surface. [詳解]

virtual void	negateFS ()
	Negate the FSurface. [詳解]

void	negate_transform (MGGeometry &boundary) const
	Transform the coordinates of boundary of this geometry. [詳解]

virtual MGVector	normal (double u, double v) const
	Compute normal vector(not unit) at uv. [詳解]

virtual MGVector	normal (const MGPosition &uv) const
	Compute normal vector(not unit) at uv. [詳解]

virtual const MGObject *	object_pointer () const
	Get the object point of this MGFSurface. [詳解]

virtual MGObject *	object_pointer ()

virtual MGPvector< MGSurface >	offset (double ofs_value, int &error) const
	Surface offset. [詳解]

int	offset_fs (double distance, MGPvector< MGFSurface > &vecOfsFSurface) const
	Offset. [詳解]

virtual std::auto_ptr< MGSurface >	offset_c1 (double ofs_value, int &error) const
	C1 continuous Surface offset. [詳解]

virtual bool	on (const MGPosition &P, MGPosition &) const
	Test if point P is ont the surface or not. [詳解]

virtual bool	on_the_perimeter (int perim_num, double u, double v) const
	Test if input (u,v) is on the perimeter perim_num. [詳解]

virtual bool	on_perimeter (const MGCurve &uvcurve, int &perim_num) const
	Test the uvcurve is on a perimeter. [詳解]

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

virtual MGPvector< MGCurve >	outer_boundary () const
	Obtain outer_boundary curves(world coordinates representation) of the FSurface. [詳解]

virtual MGPvector< MGCurve >	outer_boundary_param () const
	Obtain boundary curves(parameter space representation) of the FSurface. [詳解]

virtual MGPosition	param (const MGPosition &) const
	Return surface parameter value of a point on the surface. [詳解]

double	param_of_pcurve (double tw, const MGCurve &wcurve, const MGCurve &pcurve, const double *guess=0) const
	Obtain the parameter of pcurve that represent the same point as wcurve.eval(tw). [詳解]

MGPosition	parameter (const MGPosition &P) const
	Compute parameter value of given point. [詳解]

MGPvector< MGCurve >	parameter_curves (int is_u, double x) const
	Obtain parameter curves. [詳解]

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

virtual double	param_error_u () const

virtual double	param_error_v () const

MGPosition	param_mid () const
	Return parameter value of the middle point of the surface. [詳解]

virtual MGBox	param_range () const
	Return 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_span () const
	Compute square of parameter span length from (u.min, v.min) to (u.max, v.max). [詳解]

virtual MGCurve *	perimeter_curve (int i) const
	Retrieve perimeter i of this surface. [詳解]

virtual MGPosition	perimeter_uv (int i, double t) const
	Construct perimeter i's (u,v) parameter position. [詳解]

virtual int	perp_guess (const MGPosition &uv0, const MGPosition &uv1, const MGPosition &P, const MGPosition &uvguess, MGPosition &uv) const
	Compute a perpendicular point from a point P, given guess parameter value uvguess. [詳解]

bool	perp_guess (const MGPosition &P, const MGPosition &uvguess, MGPosition &uv) const
	Return the foot of the perpendicular straight line from P. [詳解]

virtual int	perp_guess (const MGPosition &uv0, const MGPosition &uv1, const MGCurve &curve, double t0, double t1, const MGPosition &tuvg, MGPosition &tuv) const
	Compute perpendicular points of a curve and a surface. [詳解]

virtual int	perp_guess (const MGPosition &uv0, const MGPosition &uv1, const MGCompositeCurve &crv, double t0, double t1, const MGPosition &tuvg, MGPosition &tuv) const
	Compute perpendicular points of a curve and a surface. [詳解]

virtual bool	perp_guess (const MGCurve &curve, const MGPosition &uvguess, double tguess, MGPosition &uv, double &t) const
	Compute perpendicular points of a curve and a surface. [詳解]

virtual int	perp_point (const MGPosition &P, MGPosition &uv, const MGPosition *uvguess=0) const
	Return the foot of the perpendicular straight line from P. [詳解]

virtual MGPosition_list	perps (const MGPosition &P) const
	Return all foots of perpendicular straight lines from P. [詳解]

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

virtual MGPosition	range (const MGPosition &) const
	Round the input parameter value uv. [詳解]

virtual MGSurface &	rotate_self (const MGVector &vec, double angle, const MGPosition &origin=mgORIGIN)
	Rotate the surface around the straight line. [詳解]

virtual void	split (double param, bool is_u, MGPvector< MGFSurface > &surfaces) const
	split this fsurface at the parameter param. [詳解]

const MGSurface *	surf () const
	Return MGSurface pointer. [詳解]

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

MGUnit_vector	unit_normal (const MGPosition &uv) const
	Compute unit normal vector at uv. [詳解]

MGUnit_vector	unit_normal (double u, double v) const
	Compute unit normal vector at uv. [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

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

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

virtual const MGCurve *	curve () 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_break_points (mgSysGL &sgl) const

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

基底クラス MGFSurface に属する継承公開メンバ関数
	MGFSurface ()
	Null FSurface. [詳解]

	MGFSurface (const MGFSurface &fsurf)
	Copy constructor. [詳解]

virtual	~MGFSurface ()

bool	operator< (const MGFSurface &f2) const
	Comparison operator. [詳解]

bool	operator> (const MGFSurface &f2) const

const MGBox &	get_box () const
	Get the box of the object. [詳解]

void	display_arrowsFS (mgSysGL &sgl, int udiv=4, int vdiv=4) const
	Display arrows on the surface. [詳解]

void	drawWireFS (mgVBO &vbo, double span_length, int line_density=1) const

void	drawWireFS_to_highlight (mgVBO &vbo, double span_length, int line_density) const

void	eval_discrete_deviation (const MGFSurface &face2, std::vector< MGPosition > &uvuvs, int npoint=20, double tolerance=0.1) const

MGPvector< MGCurve >	get_all_boundaries (void) const
	Obtain all the boundaries(i.e., outer boundary and all the inner boundaries) [詳解]

bool	hasInnerBoundaryLoop () const

virtual bool	hasLoop (const MGBox &uvbox) const

int	in_range_with_on (double u, double v) const

void	intersect12Boundary (const MGFSurface &face2, MGPosition_list &uvuv_list) const

virtual int	isect_boundary (const MGFSurface &face2, MGPosition_list &uvuvs, int id1=0) const =0

virtual int	isect_incurves (const MGFSurface &face2, int iid, MGPosition_list &uvuv_list, int id1) const =0

virtual int	isect_outcurves (const MGFSurface &face2, MGPosition_list &uvuv_list, int id1) const =0

virtual int	isect_guess (const MGCurve &crv, const MGPosition &uvi, double ti, MGPosition &uv, double &t) const

virtual int	isect_guess (const MGStraight &sl, const MGPosition &uvi, double ti, MGPosition &uv, double &t) const

virtual int	isect_guess (const MGCompositeCurve &crv, const MGPosition &uvi, double ti, MGPosition &uv, double &t) const

virtual int	isect_guess_composite (const MGCompositeCurve &crv, const MGPosition &uvi, double ti, MGPosition &uv, double &t) const

virtual int	isect_guess_straight (const MGStraight &sl, double ti, const MGPosition &uvi, double &t, MGPosition &uv) const

virtual MGFace *	make_face ()=0

virtual int	number_of_inner_boundaries () const
	Get number of inner boundaries as the output of the function. [詳解]

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

double	param_error_u () const

double	param_error_v () const

virtual int	perp_one (const MGPosition &P, MGPosition &uv) const

virtual int	project (const MGCurve &crv, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec=mgNULL_VEC) const

virtual int	project (const MGCurve &crv, MGPvector< MGCurve > &vec_crv, const MGVector &vec=mgNULL_VEC) const

MGPvector< MGCurve >	inner_skeleton (int density) const

virtual MGPvector< MGCurve >	skeleton (int density=1) const

virtual MGPvector< MGCurve >	skeleton_at_knots () const
	Obtain all the parameter curves at knots of u and v knot vector. [詳解]

void	split (const std::vector< const MGCurve * > &splitters, const MGVector &dir, MGPvector< MGFace > &faces) const

void	split (const MGPvector< MGCurve > &splitters, MGPvector< MGFace > &faces) const
	split this fsurface with splitters. splitters are 2D (u,v) surfaces's parameter curves. [詳解]

void	extract (const std::vector< const MGCurve * > &trimmers, const MGVector &dir, const MGPosition &uv, std::auto_ptr< MGFace > &eface) const

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

void	trim (const std::vector< const MGCurve * > &trimmers, const MGVector &dir, const MGPosition &uv, MGPvector< MGFace > &faces) const

限定公開メンバ関数
MGCSisect_list	isectSl (const MGStraight &sl, const MGBox &uvbox=mgNULL_BOX) const
	Intersection of Surface and a straight line. [詳解]

void	ReadMembers (MGIfstream &buf)

void	WriteMembers (MGOfstream &buf) const

基底クラス MGSurface に属する継承限定公開メンバ関数
virtual bool	flat (const MGBox &uvbox, double tol, int &direction, MGPosition &P, MGUnit_vector &N) const

MGSSisect_list	intersect (const MGSurface &srf2) const

MGSSisect_list	intersectPl (const MGPlane &srf2) const
	Default intersection program of MGSurface with a plane. [詳解]

MGPosition_list	intersectInner (const MGSurface &sf2) const

virtual int	isect_area_length () const

virtual int	isect_direction (const MGFSurface &sf2, int m1, MGPosition &uvuvS, double &du, double &dv, double acuRatio=1.) const

int	isect_div_id_max () const

virtual void	isect_inner_dt (int n, const MGPosition &uvnow, double &du, double &dv, int &kdt, double acuRatio=1.) const

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

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

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

基底クラス MGFSurface に属する継承限定公開メンバ関数
int	isect_direction_with_direction (double u, double v, const MGVector &tangent, double &du, double &dv) const

void	isect_dt (double u, double v, double &du, double &dv, double acuRatio=1.) const

double	isect_dt_coef (int n) const

int	isect_div_id_max () const

int	isect_start (const MGPosition &uvuv_startIn, MGPosition_list &uvuv_list, const MGFSurface &sf2, MGSSisect &ssi, MGPosition_list::iterator &uvuv_id, int &m1) const

int	isect_start_boundary (const MGFSurface &sf2, const MGPosition &uvuv_pre, int kdt, double du, double dv, int lid1, MGPosition &uvuv_now) const

double	isect_start_dif (const MGNDDArray &tau, const MGLBRep &line, const MGFSurface &sf2) const

int	isect_start_incr (const MGFSurface &sf2, const MGPosition &uvuv_pre, int kdt, double du, double dv, int lid1, MGPosition &uvuv_now) const

int	isect_startPt (const MGPosition &uvuv_startIn, MGPosition_list &uvuv_list, const MGFSurface &sf2, double acuRatio, MGBPointSeq &point, MGPosition_list::iterator &uvuv_id, int &m1) const

int	isect_startPlane (const MGPosition &uvuvS, MGPosition_list &uvuv_list, const MGPlane &pl, MGSSisect &ssi, MGPosition_list::iterator &uvuv_id) const

int	isect_startPlanePt (const MGPosition &uvuv_startIn, MGPosition_list &uvuv_list, const MGPlane &pl2, double acuRatio, MGBPointSeq &point, MGPosition_list::iterator &uvuv_id) const

MGSSisect_list	isect_with_surf (MGPosition_list &uvuv_list, const MGFSurface &srf2) const
	Compute the intersection lines of this surface and srf2(both are not planes). [詳解]

MGSSisect_list	isect_with_plane (MGPosition_list &uvuv_list, const MGPlane &pl, const MGFSurface &fsrf2) const

int	projectbyApproximateAsLBRep (const MGCurve &crv, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec) const

int	projectbyRemovKnots (const MGCurve &crv, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec) const

int	projVector (const MGCurve &crv, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec) const
	カーブを折れで分割して行い、後で接続する [詳解]

int	projNormal (const MGCurve &crv, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv) const
	カーブを折れで分割して行い、後で接続する [詳解]

フレンド
MG_DLL_DECLR friend MGSBRep	operator* (double scale, const MGSBRep &sb)

MG_DLL_DECLR friend void	build_SBRep_1direction (MGSBRepEndC &endc, const MGNDDArray &utaui, const MGNDDArray &vtaui, const MGSPointSeq &value, const MGKnotVector &tu, const MGKnotVector &tv, MGSBRep &brep, int &error)

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 Surface B-Representation, that is , B-Spline surface.

MGSBRep is a tensor product surface representation of MGLBRep. It has: (1) Surface control polygon MGSPointSeq surface_bcoef. (2) U direciton knot vector MGKnotVector uknot. (3) V direction knot vector MGKnotVector vknot.

構築子と解体子

MGSBRep::MGSBRep ( )

Default constructor(dummy surface brep).

MGSBRep::MGSBRep	(	const MGSPointSeq &	vertex,
		const MGKnotVector &	tu,
		const MGKnotVector &	tv
	)

Construct Surface B-rep by providing raw data of Surface B-Rep. ***** This is the fundamental constructor.*****

引数

vertex	Control Vertex of Surface B-Rep
tu	knot vector of u-direction
tv	knot vector of v-direction

MGSBRep::MGSBRep	(	const MGSPointSeq &	points,
		int	orderu = `4`,
		int	orderv = `4`
	)

explicit

Construct Surface B-rep by intepolation from Point data only. When points are illegal(e.g. same points are input), order will be 2 and this surface B-coefficients are input points.

引数

points	Point seq data
orderu	Order of u-direction
orderv	Order of v-direction

MGSBRep::MGSBRep	(	const MGNDDArray &	utau,
		const MGNDDArray &	vtau,
		const MGSPointSeq &	points,
		const MGKnotVector &	tu,
		const MGKnotVector &	tv
	)

Construct Surface B-rep of any order number by interpolation from data point, point data , and knot vector. When illegal data is input(illegal knot vector tu for uta), order will be 2 and this surface B-coefficients are input points.

引数

utau	Data point abscissa of u-direction
vtau	Data point abscissa of v-direction
points	Point seq data
tu	knot vector of u-direction
tv	knot vector of v-direction

MGSBRep::MGSBRep	(	const MGSBRepTP &	tp,
		const MGNDDArray &	utau,
		const MGNDDArray &	vtau,
		const MGVector	uvec[4],
		const MGVector	vvec[4],
		const MGSPointSeq &	points
	)

Construct Surface B-rep of order 4 by interpolation from Point data and tangent plane end condition. Inner point must be homogeneous, should not include first derivative inf.

引数

tp	Tangent Planeend condition of Tangent Plane
utau	Data point of u-direction
vtau	Data point of v-direction
uvec	Tangent vector of u-direction for v=min and v=max boundary line. uvec[0], uvec[1]: start and end of v=min line uvec[2], uvec[3]: end and start of v=max line.
vvec	Tangent vector of v-direction for u=min and u=max boundary line. vvec[0]:start of u=min line, vvec[1]:start of u=max line vvec[2]: end of u=max line, vvec[3]: end of u=min. It is allowed that uvec[i] or vvec[j] is null vector(i.e. sdim==0). When this is the case, it means no inf provided about the tangent vector.
points	Data point ordinate

MGSBRep::MGSBRep	(	MGSBRepEndC &	endc,
		const MGNDDArray &	utaui,
		const MGNDDArray &	vtaui,
		const MGSPointSeq &	value
	)

Construct Surface B-rep of order 4 by interpolation from Point data and end condition. Inner point may include first derivative inf if the corresponding data points are multiple. For perimeters, utaui and vtaui do not have multiplicity. However, if utaui or vtaui has multiplicity at inner point, this means 1st derivative data is provided for the associated value, i.e.: If utaui has multiplicity 2 as utaui(i)=utaui(i+1), value(i,.,.) is 1st derivative along u direction at utaui(i) and value(i+1,.,.) is positional data at utaui(i)(=utaui(i+1)). If utaui has multiplicity 3 as utaui(i)=utaui(i+1)=utaui(i+2), value(i,.,.) is 1st derivative along u direction at utaui(i)- , value(i+1,.,.) is positional data at utaui(i)(=utaui(i+1)), value(i+2,.,.) is 1st derivative along u direction at utaui(i)+. Maximum multiplicity allowed is 3. About vtaui, the same.

引数

endc	Derivative Inf.end condition
utaui	Data point of u-direction of value
vtaui	Data point of v-direction of value
value	Data point ordinate

MGSBRep::MGSBRep	(	MGSBRepEndC &	endc,
		int	orderu,
		int	orderv,
		const MGNDDArray &	utaui,
		const MGNDDArray &	vtaui,
		const MGSPointSeq &	value
	)

Construct Surface B-rep of specified order by interpolation from Point data and end condition. Inner points must not include first derivative inf and the data points must not be multiple if the order is not 4.

引数

endc	Derivative Inf.end condition
orderu	order along u direction,
orderv	order along v direction, must be greater than or equal to 4.
utaui	Data point of u-direction of value
vtaui	Data point of v-direction of value
value	Data point ordinate

MGSBRep::MGSBRep	(	MGSBRepEndC &	endc,
		const MGNDDArray &	utaui,
		const MGNDDArray &	vtaui,
		const MGSPointSeq &	value,
		const MGKnotVector &	tu,
		const MGKnotVector &	tv
	)

Construct Surface B-rep by interpolation from Point data and end condition with knot vector. This is a general version of: MGSBRep( ///Derivative Inf. MGSBRepEndC& endc, ///end condition const MGNDDArray& utaui, ///Data point of u-direction of value const MGNDDArray& vtaui, ///Data point of v-direction of value const MGSPointSeq& value ///Data point ordinate ); The difference is to provide or not knot vector tu and tv. (utaui(i),vtaui(j),value(i,j)) is one pair of data, for 0<=i<=utaui.lenght(), 0<=j<=vtaui.lenghth(). Knot vector tu and tv must satisfy Schoenberg-Whitney consdition, i.e. t(i)<tau(i)<t(i+k) for all i, where k=order. (t=tu, tau=utaui+multiplicity included at both ends according to endc, for udirection. About v, the same)

引数

endc	end condition
utaui	Data point of u-direction of value
vtaui	Data point of v-direction of value
value	Data point ordinate
tu	knot vector of u-direction
tv	knot vector of v-direction

MGSBRep::MGSBRep	(	const MGLBRep &	lbrep,
		const MGUnit_vector &	uvec,
		double	start_dist,
		double	end_dist
	)

Construct Surface B-rep by sweep B-Rep and sweep length. The sweep surface is defined as: lbrep(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

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

MGSBRep::MGSBRep	(	const MGNDDArray &	utau,
		const MGNDDArray &	vtau,
		const MGSPointSeq &	value,
		int	orderu = `4`,
		int	orderv = `4`
	)

Construct Surface B-rep of specified order by interpolation from Point data. This is an easy-to-version.

引数

utau	Data point of u-direction of value
vtau	Data point of v-direction of value
value	Data point ordinate
orderu	order along u direction.
orderv	along v direction.

MGSBRep::MGSBRep	(	const MGStraight &	st,
		const MGUnit_vector &	uvec,
		double	start_dist,
		double	end_dist
	)

Construct Surface B-rep by sweep Straight and sweep length. The sweep surface is defined as: st(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

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

MGSBRep::MGSBRep	(	const MGNDDArray &	tau,
		const std::vector< MGLBRep * > &	lines,
		const MGLBRep *	deriS,
		const MGLBRep *	deriE
	)

Construct Surface B-rep from lines and derivatives. Interpolation will be done only along one parameter direction, along v. tau provides data point sequence along v direction of surface (u,v) parameter configuration. deriS and deriE are used to provide the 1st derivative B-representation along the perimeter 0 and 2, may be null if 1st derivative B-rep is not provided. If derivative B-rep is provided, deriS and deriE must have the same knot configuration as the one of lines which makes u kont configuration of this surface (u,v) parameter. tau[i] is the parameter for lines[i].

MGSBRep::MGSBRep	(	const MGSBRep &	old_brep,
		const MGKnotVector &	ut,
		const MGKnotVector &	vt,
		int &	error
	)

Approximate an original B-Rep by a new knot configuration. The new knot config must be inside the range of the original B-Rep parameter. However new knots may be coarse or fine. Error indicates the contructor is successful(=0) or not(!=0). When error!=0, the original old_brep is copied to this.

引数

old_brep	Original B-Rep.
ut	knot vector of u-direction
vt	knot vector of v-direction
error	Error flag. Error is detected only when ut(=2) or vt(=112) is illegal.

MGSBRep::MGSBRep	(	const MGNDDArray &	utau,
		const MGNDDArray &	vtau,
		const MGSPointSeq &	points,
		const MGKnotVector &	tu,
		const MGKnotVector &	tv,
		const MGSPointSeq &	weight
	)

Obtain Surface B-Rep by Least square approximation.

引数

utau	Data point abscissa of u-direction
vtau	Data point abscissa of v-direction
points	Point seq data
tu	knot vector of u-direction
tv	knot vector of v-direction
weight	Weight for each point(space dimension 1). weight(i,j,0) is the weight for points(i,j,.). When weight(i,j,0) is large compared with other weights, the deviation from the surface at (utau(i),vtau(j)) is small.

MGSBRep::MGSBRep	(	const MGNDDArray &	utau,
		const MGNDDArray &	vtau,
		const MGSPointSeq &	points,
		const MGSPointSeq &	dp,
		double	deviation
	)

Obtain Surface B-Rep by Shoenberg and Reinch's smoothing function If dp(i,j,0) becomes bigger, deviation at (utau(i),vtau(j)) becomes bigger.

引数

utau	Data point abscissa of u-direction
vtau	Data point abscissa of v-direction
points	Point seq data
dp	Error estimate for each point(space dimension 1).
deviation	Mean deviation of each point.

MGSBRep::MGSBRep	(	const MGCurve *	edge_crvl[4],
		const MGCurve &	blendCrvU,
		const MGCurve &	blendCrvV,
		const MGSBRepTP &	tp,
		int &	error
	)

4本の境界線、ブレンド関数、接続面を与えて面を生成する。境界線はvmin,umax,vmax,uminの順で、vmin,vmaxの向きをuminからumaxの方向に umin,umaxの向きをvminからvmaxの方向になっているものとする。境界線のノットベクトルをあわせるときの誤差はline_zero()を使用している。ブレンド曲線はパラメータ範囲0,1 で値域も0,1である。接続面(MGSBRepTP)のパラメータ範囲は各境界線と同じとする。エラーコード： 0: 正常終了 -1: 境界線がC1連続でなかった -2: 接続面のパラメータ範囲が境界線と違った -3: 境界線のノットベクトルをあわせられなかった -4: 接続面のパラメータ範囲を変更できなかった -5: 点列が求まらなかった -6: 端末条件が求まらなかった -7: 面が生成できなかった

引数

edge_crvl	境界線リスト(vmin,umax,vmax,uminの順,辺番号0,1,2,3の順)
blendCrvU	空間次元1のu方向のブレンド曲線(パラメータ、値域ともに0,1)
blendCrvV	空間次元1のv方向のブレンド曲線(パラメータ、値域ともに0,1)
tp	接続面(パラメータ範囲は境界線と同じ)
error	エラーコード

MGSBRep::MGSBRep	(	MGPvector< MGLBRep > &	edges,
		int &	error,
		const MGCurve *	blendCrvU = `0`,
		const MGCurve *	blendCrvV = `0`
	)

Easy to use version of the above constructor. When blendCCrvU,V were null, straight line from 0. to 1. will be used.

引数

edges	境界線リスト(vmin,umax,vmax,uminの順,辺番号0,1,2,3の順)
error	エラーコードが出力される（0:正常終了）
blendCrvU	空間次元1のu方向のブレンド曲線(パラメータ、値域ともに0,1)
blendCrvV	空間次元1のv方向のブレンド曲線(パラメータ、値域ともに0,1)

MGSBRep::MGSBRep	(	const MGCurve *	edge_crvl[4],
		const MGSBRepTP &	tp,
		int &	error,
		const double *	alpha = `0`
	)

引数

edge_crvl	境界線リスト(vmin,umax,vmax,uminの順,辺番号0,1,2,3の順)
tp	接続面(パラメータ範囲は境界線と同じ)
error	エラーコード
alpha	derivative magnitude coefficients for perimeter i in alpha[i]. =1. is normal, if<1., curvature will be made large, and if>1. curvature will be made small. If alpha=null, all of the coefs are assumed to be 1.

MGSBRep::MGSBRep	(	bool	along_u,
		const MGPvector< MGLBRep > &	perimeters
	)

Generalized ruled surface construction. Build a surface by ruled surface method. That is, costruct a surface by sliding the blending curve(a tie curve of the rails) of perimeters 3 and 1 along perimeter 0 and 2(0 and 2 make the rail). Or by sliding the blending curve of perimeter 0 and 2 along perimeter 3 and 1(3 and 1 make the rail).

引数

along_u	indicates which perimeters make a rail. if true, perimeter 0 and 2, if false, perimeter 3 and 1 make rail.
perimeters	境界線リスト(vmin,umax,vmax,uminの順,辺番号0,1,2,3の順) perimeters must be the same knot configuration along u(perimeter 0 and 2) and along v(perimeter 3 and1).

MGSBRep::MGSBRep	(	const MGSBRep &	old_brep,
		const MGKnotArray &	uknots,
		const MGKnotArray &	vknots
	)

Gets new B-Rep by adding knots to an original B-Rep.

引数

old_brep	Original B-Rep.
uknots	Knots to add for u-direction
vknots	Knots to add for v-direction.

MGSBRep::MGSBRep	(	const MGSBRep &	brep1,
		int	which1,
		int	continuity,
		const MGSBRep &	brep2,
		int	which2,
		int	opposite
	)

Gets new B-Rep by connecting two B-Rep to one. The parameter (which1,continuity,which2,opposite) can be obtained by public function continuity.

引数

brep1	B-Rep 1.
which1	which perimeter of brep1.
continuity	continuity. Must >=0.
brep2	B-Rep 2.
which2	which perimeter of brep2.
opposite	Input if parameter direction of which2 is the same as which1 along common edge. If opposite is true, the direction is opposite.

MGSBRep::MGSBRep	(	const MGBox &	uvrange,
		const MGSBRep &	old_brep,
		int	multiple = `0`
	)

Obtain partial Surface B-Rep restricted by sub interval of u and v parameter range. If multiple==true(!=0), knot_u(i)=t1 and knot_u(n+i)=t2 for i=0,..., k-1 will be guaranteed. Here, n=bdim_u(), k=order_u(), t1=uvrange(0).low_point(), and t2=uvrange(0).high_point(). About knot_v(j), the same. Both u-range and v-range must be inside the range of old_brep. Gets new B-Rep by computing a part of the original. New one is exactly the same as the original except that it is partial.

引数

uvrange	u and v parameter range.
old_brep	Original B-Rep.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGSBRep::MGSBRep	(	int	dim,
		const MGSBRep &	sbrep,
		int	start1 = `0`,
		int	start2 = `0`
	)

Construct a Surface B-Rep by changing space dimension and ordering of coordinates.

引数

dim	New space dimension.
sbrep	Original Surface B-rep.
start1	Destination order of new Surface.
start2	Source order of original Surface.

MGSBRep::MGSBRep	(	const MGPlane &	plane,
		const MGBox &	prange
	)

Construct a Surface B-Rep (order = 2 ) from Plane and Parameter ranges.

引数

plane	Original Plane
prange	parameter range of new Surface.

MGSBRep::MGSBRep	(	const std::vector< const MGCurve * > &	curves,
		bool	direction_adjustment = `true`
	)

リブ曲線列から面を作成する作成する面のノットベクトルはリブ曲線の向きをu,リブ列方向をvとする This constructor only generates MGSBRep even if curves are MGRLBRep of the same knot configuration. To avoid this, use createSurfaceFromRibs() that generates MGRSBRep when curves are MGRLBRep of the same knot configuration. Let v0=start parameter value, v1=terminate parameter value along v, then v=v0 const parameter line is curves[0], and v=v1 const parameter line is curves[n-1], where n=curves.size(). n must be greater or equal to 2. When n==2, the surface is a ruled surface(that is, this->order_u() is 2). When direction_adjustment=true, curves[i] directions are adjusted to line up to the same direciton as the curves[i-1]'s. When direction_adjustment=false, no curves of curves[i] are negated and the directions of curves[i] are the direcitons of ribs.

MGSBRep::MGSBRep	(	const MGPvector< MGCurve > &	curves,
		bool	direction_adjustment = `true`
	)

関数詳解

int MGSBRep::bdim_u ( ) const

inlinevirtual

Returns B-Rep Dimension of u.

自身の曲面の全体の面積を返却する。 Compute total surface area. double area () const; 与えられたパラメータ範囲の曲面の面積を返す。 Compute surface area limitted by parameter range box. double area(const MGBox& box) const;

MGSurfaceを再実装しています。

int MGSBRep::bdim_v ( ) const

inlinevirtual

Returns B-Rep Dimension of v.

MGSurfaceを再実装しています。

MGBox MGSBRep::box_limitted ( const MGBox & uvrange ) const

virtual

Compute minimum box that includes the linitted parameter range surface.

MGSurfaceを実装しています。

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

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.

MGSurfaceを実装しています。

MGSBRep& MGSBRep::change_range	(	int	is_u,
		double	t1,
		double	t2
	)

virtual

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

引数

is_u	if true, (t1,t2) are u-value. if not, v.
t1	Parameter value for the start of original.
t2	Parameter value for the end of original.

MGSurfaceを実装しています。

MGSBRep* MGSBRep::clone ( ) const

virtual

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

MGSurfaceを実装しています。

double& MGSBRep::coef	(	int	i,
		int	j,
		int	k
	)

inline

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

double MGSBRep::coef	(	int	i,
		int	j,
		int	k
	)		const

inline

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

MGVector MGSBRep::coef	(	int	i,
		int	j
	)		const

inline

Extract (i,j,k) elements for 0<=k<sdim() as a vector.

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

inline

Returns a pointer to the surface b-coef data.

int MGSBRep::continuity	(	const MGSBRep &	brep2,
		int &	which1,
		int &	which2,
		int &	opposite,
		double &	ratio
	)		const

Compute continuity with brep2. Function's return value is: -1: G(-1) continuity, i.e. two surfaces are discontinuous. 0: G0 continuity, i.e. two surfaces are connected, but tangents are discontinuous 1: G1 continuity, i.e. two surfaces are connected, and tangents are also continuous. 2: G2 continuity, i.e. two surfaces are connected, and tangents and curvatures are also continuous. Reuturn value is the continuity.

引数

brep2	Input second SBRep
which1	Outputs which perimeter(which1) of this is
which2	connected to which(which2) of brep2. These are valid only when continuity>=0.
opposite	Outputs if parameter direction of which2 is the same as which1 along common edge. If opposite is true, the direction is opposite.
ratio	Ratio of 1st derivatives of the two surfaces will be returned. ratio= d2/d1, where d1=1st deriv of this and d2=of brep2

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

virtual

Construct new surface 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.

MGSurfaceを実装しています。

void MGSBRep::display_control_polygon ( mgSysGL & sgl ) const

virtual

Display control polygons using mgVBO::MGDrawPointSeq(sp)

MGGelを再実装しています。

int MGSBRep::divide_multi_knot ( MGPvector< MGSurface > & srfl ) const

virtual

uまたはv方向に折れ(マルチノット)があるとき面を分割する戻り値は、分割数を返却する

引数

srfl 分割した曲面リスト

MGSurfaceを再実装しています。

MGVector MGSBRep::eval	(	double	u,
		double	v,
		int	ndu = `0`,
		int	ndv = `0`
	)		const

virtual

Evaluate right continuous ndu'th and ndv'th derivative data. Function's return value is (d(ndu+ndv)f(u,v))/(du**ndu*dv**ndv). ndu=0 and ndv=0 means positional data evaluation.

引数

u	U Parameter value of the surface.
v	V Parameter value of the surface.
ndu	Order of Derivative along u.
ndv	Order of Derivative along v.

MGSurfaceを実装しています。

MGVector MGSBRep::eval	(	const MGPosition &	uv,
		int	ndu = `0`,
		int	ndv = `0`
	)		const

virtual

Evaluate surface data.

引数

uv	Parameter value of the surface.
ndu	Order of derivative along u.
ndv	Order of derivative along v.

MGFSurfaceを実装しています。

void MGSBRep::eval_all	(	double	u,
		double	v,
		MGPosition &	f,
		MGVector &	fu,
		MGVector &	fv,
		MGVector &	fuv,
		MGVector &	fuu,
		MGVector &	fvv
	)		const

virtual

Evaluate right continuous surface data. Evaluate all positional data and 1st and 2nd derivatives.

引数

u	U Parameter value of the surface.
v	V Parameter value of the surface.
f	Positional data.
fu	df(u,v)/du
fv	df/dv
fuv	d*2f/(dudv)
fuu	d2f/(du2)
fvv	d2f/(dv2)

MGSurfaceを再実装しています。

void MGSBRep::eval_all	(	double	u,
		double	v,
		int	ndu,
		int	ndv,
		double *	deriv
	)		const

Evaluate all of derivative data (d(i+j)f(u,v))/(du**i*dv**j), for 0<=i<=ndu and 0<=j<=ndv.

引数

u	U Parameter value of the surface.
v	V Parameter value of the surface.
ndu	Order of Derivative along u.
ndv	Order of Derivative along v.
deriv	Output. (d(i+j)f(u,v))/(du*idv*j) in deriv[r+jdim+i(ndv+1)dim] for 0<=r<dim=sdim(). for 0<=i<=ndu and 0<=j<=ndv. deriv is an array of deriv[ndu+1][ndv+1][r], (d(i+j)f(u,v))/(du*idv**j) is returned in deriv[i][j][r].

MGSurface& MGSBRep::exchange_uv ( )

virtual

Exchange parameter u and v.

MGSurfaceを実装しています。

MGSBRep& MGSBRep::extend	(	int	perimeter,
		double	param,
		double	length,
		double	dk = `0.`
	)

virtual

Modify the original Surface by extrapolating the specified perimeter. The extrapolation is C2 continuous if the order >=4. The extrapolation is done so that extrapolating length is "length" at the position of the parameter value "param" of the perimeter.

引数

perimeter	perimeter number of the Surface. =0:v=min, =1:u=max, =2:v=max, =3:u=min.
param	parameter value of above perimeter.
length	chord length to extend at the parameter param of the perimeter.
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.

MGSurfaceを再実装しています。

long MGSBRep::identify_type ( ) const

virtual

Return This object's typeID.

MGSurfaceを実装しています。

bool MGSBRep::in_range	(	double	u,
		double	v
	)		const

virtual

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

MGSurfaceを実装しています。

bool MGSBRep::in_range ( const MGPosition & uv ) const

virtual

MGFSurfaceを実装しています。

MGCSisect_list MGSBRep::isect ( const MGCurve & curve ) const

virtual

Surface と Curve の交点を求める。 Compute curve and surface intersection point(s)

MGSurfaceを実装しています。

MGCSisect_list MGSBRep::isect ( const MGStraight & sl ) const

inline

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

MGCSisect_list MGSBRep::isect ( const MGEllipse & curve ) const

MGCSisect_list MGSBRep::isect ( const MGLBRep & curve ) const

MGCSisect_list MGSBRep::isect ( const MGSurfCurve & curve ) const

MGCSisect_list MGSBRep::isect ( const MGBSumCurve & curve ) const

MGSSisect_list MGSBRep::isect ( const MGSurface & srf2 ) const

virtual

Surface と Surface の交線を求める。 Surface and Surface intersection. Compute intersectio line(s) of two surface. Restriction:Currently if two surface do not have intersection on any of 4 perimeters, this function does not compute surface to surface intersection.

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGPlane & srf2 ) const

virtual

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGSphere & srf2 ) const

virtual

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGCylinder & srf2 ) const

virtual

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGSBRep & srf2 ) const

virtual

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGRSBRep & srf2 ) const

virtual

MGSurfaceを実装しています。

MGSSisect_list MGSBRep::isect ( const MGBSumSurf & srf2 ) const

virtual

MGSurfaceを実装しています。

MGCSisect_list MGSBRep::isectSl	(	const MGStraight &	sl,
		const MGBox &	uvbox = `mgNULL_BOX`
	)		const

protectedvirtual

Intersection of Surface and a straight line.

引数

sl	Target straight.
uvbox	indicates if this surface is restrictied to the parameter range of uvbox. If uvbox.is_null(), no restriction.

MGSurfaceを再実装しています。

const double* MGSBRep::knot_data_u ( ) const

inline

Returns a pointer to the u knot vector data.

const double* MGSBRep::knot_data_v ( ) const

inline

Returns a pointer to the v knot vector data.

double& MGSBRep::knot_u ( int i )

inline

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

double MGSBRep::knot_u ( int i ) const

inlinevirtual

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

MGSurfaceを再実装しています。

double& MGSBRep::knot_v ( int i )

inline

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

double MGSBRep::knot_v ( int i ) const

inlinevirtual

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

MGSurfaceを再実装しています。

const MGKnotVector& MGSBRep::knot_vector_u ( ) const

inlinevirtual

Returns the u knot vector.

MGSurfaceを実装しています。

MGKnotVector& MGSBRep::knot_vector_u ( )

inlinevirtual

MGSurfaceを実装しています。

const MGKnotVector& MGSBRep::knot_vector_v ( ) const

inlinevirtual

Returns the v knot vector.

MGSurfaceを実装しています。

MGKnotVector& MGSBRep::knot_vector_v ( )

inlinevirtual

MGSurfaceを実装しています。

bool MGSBRep::less_than	(	int	i,
		const MGPosition &	uv1,
		const MGPosition &	uv2
	)		const

virtual

Compare two parameter values. If uv1 is less than uv2, return true. Comparison is done after prjected to i-th perimeter of the surface.

引数

i	perimeter number.
uv1	1st point in parameter.
uv2	2nd.

MGSurfaceを再実装しています。

MGSBRep& MGSBRep::limit ( const MGBox & uvrange )

自身に指定したパラメータ範囲のlimitをつける。 Update this by limitting the parameter range. uvrange is parameter value range of (umin, vmin) to (umax, vmax).

MGSBRep& MGSBRep::move	(	int	move_kind_u,
		int	move_kind_v,
		const MGPosition &	move_point_param,
		const MGPosition &	to_point,
		const MGPosition	fix_point[2]
	)

Modify the original Surface by moving move_point to to_point. fix_point can be applied according to move_kind. move_kind_u and _v mean as below for u and v direction: move_kind=1: Start and end perimeter of the surface are fixed. The surface is modified linearly so that move_point_param line is the maximum move. =2: The parameter line fix_point[0] is fixed and the other end of the move_point_param side is moved. In this case, maximum move is the end perimeter of the surface. =3: fix_point[0]<move_point_param<fix_point[1], and two parameter line fix_point[.] are fixed. The surface is modified linearly so that move_point_param point is the maximum move. otherwise: Two fix parameter line fix_point[.] are computed so that the modify range is the minimum. Other move is same as move_kind=3. Restriction: For the case move_kind=3, actual fix parameter line is wider than specified range. The range is the smallest one possible including fix_point[].

引数

move_kind_u	Indicates how to move Surface for u direction.
move_kind_v	Indicates how to move Surface for v direction.
move_point_param	indicate object point to move by the (u,v) parameter value.
to_point	destination point(x,y,z coordinates) of the abve source point.
fix_point	(u,v) parameter value pair.

void MGSBRep::negate ( int is_u )

virtual

Change direction of the surface.

引数

is_u	Negate along u-direction if is_u is ture, else along v-direction.

MGSurfaceを実装しています。

MGPosition MGSBRep::negate_param	(	const MGPosition &	uv,
		int	is_u = `1`
	)		const

Obtain parameter value if this surface is negated by "negate()". Negate along u-direction if is_u is ture, else along v-direction.

bool MGSBRep::operator!= ( const MGGel & gel2 ) const

inlinevirtual

MGGelを再実装しています。

bool MGSBRep::operator!= ( const MGSBRep & gel2 ) const

inline

MGSBRep MGSBRep::operator* ( double ) const

与えられたスケーリングで曲面の変換を行いオブジェクトを生成する。 Scaling.

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

与えられた変換で曲面の変換を行いオブジェクトを生成する。 Matrix transformation.

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

与えられた変換で曲面のトランスフォームを行いオブジェクトを生成する。 General transformation.

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

曲面の平行移動を行いオブジェクトを生成する。 Translation.

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

virtual

Object transformation.

MGSurfaceを実装しています。

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

曲面の逆方向に平行移動を行いオブジェクトを生成する。 Translation.

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

virtual

MGSurfaceを実装しています。

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

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

virtual

MGSurfaceを実装しています。

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

virtual

Destructor ~MGSBRep(); ///We can use default destructor. Assignment. When the leaf object of this and srf2 are not equal, this assignment does nothing.

MGGelを再実装しています。

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

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

Comparison of two objects.

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

virtual

comparison

MGSurfaceを実装しています。

bool MGSBRep::operator== ( const MGRSBRep & gel2 ) const

int MGSBRep::order_u ( ) const

inlinevirtual

Returns the B-Rep order(u-direction).

MGSurfaceを再実装しています。

int MGSBRep::order_v ( ) const

inlinevirtual

Returns the B-Rep order(v-direction).

MGSurfaceを再実装しています。

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

virtual

Debug Function.

MGSurfaceを再実装しています。

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

virtual

IGES output function. PD128(NURBS Surface).

MGGelを再実装しています。

MGPosition MGSBRep::param_e ( ) const

Return ending parameter value.

double MGSBRep::param_e_u ( ) const

virtual

Return ending parameter value.

MGSurfaceを実装しています。

double MGSBRep::param_e_v ( ) const

virtual

MGSurfaceを実装しています。

MGPosition MGSBRep::param_s ( ) const

Return starting parameter value.

パラメータ範囲を返す。 Return parameter range.

double MGSBRep::param_s_u ( ) const

virtual

Return starting parameter value.

MGSurfaceを実装しています。

double MGSBRep::param_s_v ( ) const

virtual

MGSurfaceを実装しています。

MGCurve* MGSBRep::parameter_curve	(	int	is_u,
		double	x
	)		const

virtual

Compute parameter curve. Returned is newed area pointer, and must be freed by delete.

引数

is_u	Indicates x is u-value if is_u is true.
x	Parameter value. The value is u or v according to is_u.

MGSurfaceを実装しています。

MGLBRep MGSBRep::parameter_line	(	int	is_u,
		double	x,
		int	nderiv = `0`
	)		const

Compute parameter line.

引数

is_u	Indicates x is u-value if is_u is true.
x	Parameter value. The value is u or v according to is_u.
nderiv	Order of derivative.

MGSBRep* MGSBRep::part	(	const MGBox &	uvbx,
		int	multiple = `0`
	)		const

virtual

Compute part of the surface limitted by the parameter range uvbx. uvbx(0) is the parameter (us,ue) and uvbx(1) is (vs,ve). That is u range is from us to ue , and so on. Retured is newed object, must be deleted.

引数

uvbx	Target parameter range.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGSurfaceを実装しています。

MGLBRep MGSBRep::perimeter ( int i ) const

Compute perimeter line B-Rep. i is perimeter number: =0: v=min line, =1: u=max line, =2: v=max line, =3: u=min line perimeter_curve returs newed object, must be deleted.

int MGSBRep::perimeter_num ( ) const

inlinevirtual

Return how many perimeters this surface has.

MGSurfaceを実装しています。

int MGSBRep::planar	(	MGPlane &	plane,
		double &	deviation
	)		const

Test if the surface is planar or not. Returned is 0(false) if this is not planar, 1(true) if this is planar.

引数

plane	Plane that might be closest to this. Plane is always output even if not planar.
deviation	maximum deviation of this from the output plane.

int MGSBRep::planar	(	const MGBox &	uvbox,
		double	tol,
		int *	divideU = `0`
	)		const

Test if part of the surface is planar or not within the tolerance tol. The part of the surface is input by the surface parameter range uvbox. Returned is 0(false) if this is not planar, 1(true) if planar.

引数

uvbox	This surface parameter range.
tol	maximum deviation allowed to regard the sub surface as a plane.
divideU	Direction to subdivide will be output, if this was not planar, =1: u direction, =0: v direction.

void MGSBRep::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。

MGSurfaceを再実装しています。

std::auto_ptr<MGSBRep> MGSBRep::rebuild	(	int	how_rebuild = `1`,
		int	parameter_normalization = `2`,
		double	tol = `-1.`,
		int *	order = `0`
	)		const

Rebuild this MGSBRep. Rebuild means: 1) Change the parameterization. 2) Remove the redundant surface B-coefficients within the tolerance, which is performed by remove_knots.

引数

how_rebuild	intdicates how rebuild be done. =0: no approximation(only parameter change) !=0: approximated by non-rational spline(MGSBRep) with new knot configuration.
parameter_normalization	Indicates how the parameter normalization be done: =0: no surface parameter normalization. =1: normalize to u_range=(0., 1.), and v_range=(0.,1.); =2: normalize to make the average length of the 1st derivative along u and v of the base surface is as equal to 1. as possible.
tol	tolerance allowed for the approximation. When tol<=0., MGTolerance::line_zero() will be employed.
order	order of the new MGSBRep, >=4 is recomended. order[0]:u-order, [1]:v-order. When order=0 is input, the original order is unchanged.

int MGSBRep::reduce	(	int	is_u,
		int	ndec
	)

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

引数

is_u	if true, reduce b-rep dimension of u-direction.
ndec	Number of B-rep dimension to decrease

MGSBRep& MGSBRep::refine	(	const MGKnotVector &	uknot,
		const MGKnotVector &	vknot
	)

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

引数

uknot	new knot of u-direction
vknot	new knot of v-direction

void MGSBRep::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.

MGSurfaceを再実装しています。

int MGSBRep::remove_knot_one	(	double	line0,
		int	id,
		double &	tol,
		bool	u_knot = `true`
	)

uノットを一つ削除する関数の戻り値は削除したノットの数

引数

line0	Tolerance allowed for the knot removal. When line0<=0., removal will be done uncoditionally.
id	削除しようとするノットの番号
tol	削除後の誤差が出力される
u_knot	削除対象が（u,v)のいずれのknot vectorかを入力する =trueのとき、u-knot_vectorを削除

int MGSBRep::sdim ( ) const

inlinevirtual

Returns the space dimension.

MGSurfaceを実装しています。

void MGSBRep::shrink_to_knot	(	const MGBox &	uvbx,
		int	multiple = `0`
	)

virtual

Shrink this surface to the part limitted by the parameter range of uvbx. New parameter range uvbx2 is so determined that uvbx2 is the smallest box tha includes uvbx, and all of the u or v values of uvbx2 is one of the values of u or v knots of the surface knotvector. uvbx(0) is the parameter (us,ue) and uvbx(1) is (vs,ve). That is u range is from us to ue , and so on.

引数

uvbx	Target parameter range.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGSurfaceを再実装しています。

const MGSPointSeq& MGSBRep::surface_bcoef ( ) const

inline

Returns the B-coef's.

MGSPointSeq& MGSBRep::surface_bcoef ( )

inline

Returns the B-coef's.

MGSURFACE_TYPE MGSBRep::type ( ) const

inlinevirtual

Compute surface integral of the 1st two coordinates. (面積分）を求める。 This integral can be used to compute volume sorounded by the surface. double surface_integral(const MGBox&) const; 曲面のタイプをを返す。 Return the surface type.

MGSurfaceを実装しています。

MGSurface& MGSBRep::unlimit ( )

inline

ｌｉｍｉｔをはずす。 Unlimit the parameter range. Return the same.

std::string MGSBRep::whoami ( ) const

inlinevirtual

MGSurfaceを再実装しています。

void MGSBRep::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。

MGSurface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 void build_SBRep_1direction	(	MGSBRepEndC &	endc,
		const MGNDDArray &	utaui,
		const MGNDDArray &	vtaui,
		const MGSPointSeq &	value,
		const MGKnotVector &	tu,
		const MGKnotVector &	tv,
		MGSBRep &	brep,
		int &	error
	)

friend

build_SBRep_1direction constructs MGSBRep brep, by interpolating only u-direction. Input (utaui, tu) will make brep's v direction parameter, and (vtaui, tv) will make udirection parameter. That is, u and v will be exchanged for output brep.

引数

endc	end condition, only perimeter 3 and 1 are used.
utaui	Data point of u-direction of value
vtaui	Data point of v-direction of value
value	Data point ordinate
tu	knot vector of u-direction
tv	knot vector of v-direction
brep	constructed b-rep will be output
error	Error flag.

MG_DLL_DECLR friend MGSBRep operator*	(	double	scale,
		const MGSBRep &	sb
	)

friend

与えられたスケーリングで曲面の変換を行いオブジェクトを生成する。 Scaling.

このクラス詳解は次のファイルから抽出されました:

mg/SBRep.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