MGSurface クラス

MGSurface is an abstract class of 3D surface. [詳解]

MGSurface の継承関係図

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)
MGSurface &	operator+= (const MGVector &v)=0
	Object transformation. [詳解]
MGSurface &	operator-= (const MGVector &v)=0
MGSurface &	operator*= (double scale)=0
MGSurface &	operator*= (const MGMatrix &mat)=0
MGSurface &	operator*= (const MGTransf &tr)=0
virtual bool	operator== (const MGGel &gel2) const =0
	comparison [詳解]
virtual bool	operator< (const MGGel &gel2) const =0
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]
virtual int	bdim_u () const
	Returns B-Rep Dimension of u. [詳解]
virtual int	bdim_v () const
	Returns B-Rep Dimension of v. [詳解]
virtual MGBox	box_limitted (const MGBox &uvrange) const =0
	Return minimum box that includes limitted surface by uvrange. [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 MGSurface &	change_dimension (int sdim, int start1=0, int start2=0)=0
	Changing this object's space dimension. [詳解]
virtual MGSurface &	change_range (int is_u, double t1, double t2)=0
	Change parameter range, able to change the direction by providing t1 greater than t2. [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]
virtual MGSurface *	clone () const =0
	Construct new surface object by copying to newed area. [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]
virtual MGSurface *	copy_change_dimension (int sdim, int start1=0, int start2=0) const =0
	Construct new surface object by changing the original object's space dimension. [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
virtual int	divide_multi_knot (MGPvector< MGSurface > &srfl) 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]
virtual MGVector	eval (double u, double v, int ndu=0, int ndv=0) const =0
	Evaluate surface data. [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 (double u, double v, MGPosition &f, MGVector &fu, MGVector &fv, MGVector &fuv, MGVector &fuu, MGVector &fvv) const
	Evaluate right continuous surface data. [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]
virtual MGSurface &	exchange_uv ()=0
	Exchange parameter u and v. [詳解]
virtual MGSurface &	extend (int perimeter, double param, double length, double dk=0.)
	Modify the original Surface by extrapolating the specified perimeter. [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]
virtual long	identify_type () const =0
	Return This object's typeID. [詳解]
virtual bool	in_range (double u, double v) const =0
	Test if the parameter(u,v) is in this surface's parameter range. [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
virtual MGSSisect_list	isect (const MGSurface &srf2) const =0
	Surface and Surface intersection. [詳解]
virtual MGSSisect_list	isect (const MGPlane &srf2) const =0
virtual MGSSisect_list	isect (const MGSphere &srf2) const =0
virtual MGSSisect_list	isect (const MGCylinder &srf2) const =0
virtual MGSSisect_list	isect (const MGSBRep &srf2) const =0
virtual MGSSisect_list	isect (const MGRSBRep &srf2) const =0
virtual MGSSisect_list	isect (const MGBSumSurf &srf2) const =0
MGSSisect_list	isect (const MGFace &f) const
MGSSisect_list	isect (const MGFSurface &fsurf) const
MGHHisect_vector	isect (const MGShell &shl) const
	Intersection. [詳解]
virtual MGCSisect_list	isect (const MGCurve &curve) const =0
	Curve and Surface intersection. [詳解]
virtual int	isect_order () const =0
virtual double	knot_u (int i) const
	Access to i-th element of u knot. [詳解]
virtual double	knot_v (int i) const
	Access to i-th element of v knot. [詳解]
virtual const MGKnotVector &	knot_vector_u () const =0
	Returns the u knot vector. [詳解]
virtual MGKnotVector &	knot_vector_u ()=0
virtual const MGKnotVector &	knot_vector_v () const =0
	Returns the v knot vector. [詳解]
virtual MGKnotVector &	knot_vector_v ()=0
virtual bool	less_than (int i, const MGPosition &uv1, const MGPosition &uv2) const
	Compare two parameter values. If uv1 is less than uv2, return true. [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]
virtual void	negate (int is_u)=0
	Negate direction of surface. [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]
virtual int	order_u () const
	Returns the order of u. [詳解]
virtual int	order_v () const
	Returns the order of v. [詳解]
virtual std::ostream &	out (std::ostream &ostrm) const
	Output virtual function. [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]
virtual MGCurve *	parameter_curve (int is_u, double x) const =0
	Compute parameter curve. [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
virtual double	param_e_u () const =0
	Return ending parameter value. [詳解]
virtual double	param_e_v () const =0
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_s_u () const =0
	Return starting parameter value. [詳解]
virtual double	param_s_v () const =0
virtual double	param_span () const
	Compute square of parameter span length from (u.min, v.min) to (u.max, v.max). [詳解]
virtual MGSurface *	part (const MGBox &bx, int multiple=0) const =0
	Compute part of the surface limitted by the parameter range bx. [詳解]
virtual MGCurve *	perimeter_curve (int i) const
	Retrieve perimeter i of this surface. [詳解]
virtual int	perimeter_num () const =0
	Return how many perimeters this surface has. [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 void	remove_knot ()
	removal redundant knots within the tolerance line_zero(). [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 int	sdim () const =0
	Return the surface type. [詳解]
virtual void	shrink_to_knot (const MGBox &uvbx, int multiple=0)
	Shrink this surface to the part limitted by the parameter range of uvbx. [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]
virtual MGSURFACE_TYPE	type () const =0
	Return the surface type. [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]
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
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 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 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_control_polygon (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
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	intersect_dnum_u () const =0
virtual int	intersect_dnum_v () const =0
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 MGCurve *	isect_incr_pline (const MGPosition &uv, int kdt, double du, double dv, double &u, double &v, int incr=0) const =0
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]
virtual MGCSisect_list	isectSl (const MGStraight &sl, const MGBox &uvbox=mgNULL_BOX) const
	Intersection of Surface and a straight line. [詳解]
virtual MGSBRep *	surf1D (const MGPlane &pl) const =0
virtual void	ReadMembers (MGIfstream &buf)
virtual void	WriteMembers (MGOfstream &buf) const
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 int	isect_start_tan (const MGFSurface &sf1, const MGFSurface &sf2, const MGLBRep &lineb, MGVector *Tse[2])
MG_DLL_DECLR friend void	isect_start_adjustSE (int ngtan, MGNDDArray &tau, MGBPointSeq &point, MGLBRep &lineb, MGVector *tan[2])
	Update lineb so as to have the tangent tan for start or end according to ngtan. [詳解]

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

MGSurface is an abstract class of 3D surface.

Surface is represented using two parameter u and v:f(u,v).

構築子と解体子

MGSurface::MGSurface

(

void

)

Void Constructor. 初期化なしでオブジェクトを作成する。

MGSurface::MGSurface ( const MGSurface &  srf )

inline

Copy Constructor.

virtual MGSurface::~MGSurface ( )

virtual

関数詳解

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

Approximate this surface as an MGSBRep.

引数

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.
order	When tol<=0., MGTolerance::line_zero() will be employed.order of the new MGSBRep, >=4 is recommended. order[0]:u-order, [1]:v-order. When order=0 is input, order[0]=order[1]=4 are assumed.

void MGSurface::arrow ( double  u, double  v, MGPosition  data[10]  ) const

virtual

Generate arrow data of the tangent along u and v and the normal.

Arrow at the parameter value (u,v) of the surface. data[0] is the origin of the u-tangent arrow, data[1] is the top of the u-tangent arrow, data[2], [3] are two bottoms of u-tangent arrowhead. data[0], [4], [5], [6] are the points of v-tangent arrow. data[0], [7], [8], [9] are the points of v-tangent arrow.

MGFSurfaceを実装しています。

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

inlinevirtual

MGFSurfaceを実装しています。

void MGSurface::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().

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

Compute average chord length along u(is_u==false) or v(is_u==true). Function's return value is the chord length.

引数

is_u	=0, or 1. Indicates if para is u-value(is_u=1) or v(is_u=0).
para	three parameter value of srf, start, middle, and end of u parameter value if is_u==1, of v if is_u==0.
tau	data points to evaluate on is_u parameter line. tau[.] is v values if is_u==1, u values if 0.

virtual int MGSurface::bdim_u ( ) const

inlinevirtual

Returns B-Rep Dimension of u.

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

virtual int MGSurface::bdim_v ( ) const

inlinevirtual

Returns B-Rep Dimension of v.

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

virtual MGBox MGSurface::box_limitted ( const MGBox &  uvrange ) const

pure virtual

Return minimum box that includes limitted surface by uvrange.

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.

引数

uvrange

Parameter Range of the curve.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

MGBox MGSurface::box_param

(

)

const

Return box of the parameter space of the surface.

const MGBox MGSurface::box_param2 ( ) const

inlinevirtual

Return box of the parameter space of the FSurface after trimmed one.

MGFSurfaceを実装しています。

virtual MGPosition MGSurface::center ( ) const

virtual

Obtain ceter coordinate of the geometry.

MGGeometryを実装しています。

MGPlane, MGCylinder, MGPlaneImageで再実装されています。

virtual MGPosition MGSurface::center_param ( ) const

virtual

Obtain ceter parameter value of the geometry.

MGGeometryを実装しています。

virtual MGSurface& MGSurface::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。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSurface& MGSurface::change_range ( int  is_u, double  t1, double  t2  )

pure virtual

Change parameter range, 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.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSurface* MGSurface::clone ( ) const

pure virtual

Construct new surface object by copying to newed area.

User must delete this copied object by "delete".

MGGeometryを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

MGFace* MGSurface::clone_as_face ( ) const

virtual

Get the clone of this as a MGFace.

If this is MGSurface, it is converted to MGFace.

MGFSurfaceを実装しています。

virtual MGFSurface* MGSurface::clone_fsurface ( ) const

inlinevirtual

Get the clone of this MGFSurface.

MGFSurfaceを実装しています。

virtual MGPosition MGSurface::closest ( const MGPosition &  point ) const

virtual

Compute the closest point parameter value (u,v)of this surface from a point.

MGFSurfaceを実装しています。

MGPlane, MGSphere, MGCylinderで再実装されています。

virtual MGPosition MGSurface::closest_on_boundary ( const MGStraight &  sl ) const

inlinevirtual

Compute closest point from a line to the boundary of the MGFSurface.

Returned is the parameter value of the FSurface that is closest to point.

MGFSurfaceを実装しています。

virtual MGPosition MGSurface::closest_on_perimeter ( const MGPosition &  point ) const

virtual

Compute the closest point on all the perimeters of the surface.

The point is returned as the parameter value (u,v) of this surface.

MGSphereで再実装されています。

virtual MGPosition MGSurface::closest_on_perimeter ( const MGStraight &  sl ) const

virtual

virtual int MGSurface::coef_sdim ( ) const

inlinevirtual

Obtain coefficient's space dimension.

This function is used in isect_start etc.

MGFSurfaceを実装しています。

void MGSurface::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.

The approximate plane is of the surface within the parameter range (u0,v0) to (u1, v1).

引数

u0	Parameter range.
u1	Parameter range.
v0	Parameter range.
v1	Parameter range.
Pn	sample points will be output.
center	center of the sample points will be output.
normal	average normal of Nn[] will be output.
Nn_in	9 normals of the surface will be output.

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

pure 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.

MGGeometryを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSurface* MGSurface::copy_surface ( ) const

inlinevirtual

Construct new curve object by copying to newed area.

User must delete this copied object by "delete".

void MGSurface::curvatures	(	const MGPosition &	uv,
		double	value[4],
		MGUnit_vector &	N
	)		const

Compute surface curvatures.

value[0]=K:Gaussian curvature=k1*k2, value[1]=H:Mean curvature=(k1+k2)/2, value[2]=k1:minimum curvature, and value[3]=k2=maximum curvature. N is the unit normal vector at position (u,v).

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

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

virtual

Compute direction unit vector of the geometry.

MGGeometryを再実装しています。

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

virtual

MGGelを再実装しています。

MGPlaneで再実装されています。

virtual int MGSurface::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

MGSBRep, MGRSBRepで再実装されています。

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

inlinevirtual

Draw 3D curve in world coordinates.

The object is converted to curve(s) and is drawn.

引数

vbo	The 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。

MGPlane, MGPlaneImageで再実装されています。

int MGSurface::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.

Assuming that scurve and world_curve are the same curve. Function's return value is: 1: same direction, -1:oppositie direction.

引数

param_curve	(u,v) parameter representation curve of this.
world_curve	world representation curve.

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

pure virtual

Evaluate surface data.

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.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

inlinevirtual

引数

uv	FSurface parameter value(u,v)
ndu	Order of derivative along u.
ndv	Order of derivative along v.

MGFSurfaceを実装しています。

virtual void MGSurface::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, 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/(du*dv)
fuu	d**2f/(du**2)
fvv	d**2f/(dv**2)

MGSBRep, MGRSBRep, MGPlane, MGCylinderで再実装されています。

virtual void MGSurface::eval_all ( const MGPosition &  uv, MGPosition &  f, MGVector &  fu, MGVector &  fv, MGVector &  fuv, MGVector &  fuu, MGVector &  fvv  ) const

virtual

Evaluate right continuous surface data.

Evaluate all positional data, 1st and 2nd derivatives.

引数

uv	Parameter value of the surface.
f	Positional data.
fu	df(u,v)/du
fv	df/dv
fuv	d**2f/(du*dv)
fuu	d**2f/(du**2)
fvv	d**2f/(dv**2)

MGCylinderで再実装されています。

double MGSurface::eval_gap	(	const MGCurve &	curve,
		int	iperi,
		MGPosition &	uv
	)		const

evaluate gap between this surface's perimeter iperi and the given curve curve.

引数

curve	(I/ ) curve to evaluate.
iperi	(I/ ) 0: vmin, 1: umax, 2: vmax, and 3: umin.
uv	( /O) the parameter of this that had the largest gap.

double MGSurface::eval_gap	(	const MGCurve *	curve[4],
		MGPosition &	uv
	)		const

evaluate gap between this surface's perimeters and the given curve curve.

evaluation is performed for the perimeter i and curve[i] for 0<=i<=4. function's return value is the maximum gap.

引数

curve	(I/ ) curves to evaluate.
uv	( /O) the parameter of this that had the largest gap.

virtual void MGSurface::eval_spoint ( const MGNDDArray &  utau, const MGNDDArray &  vtau, MGSPointSeq &  spoint  ) const

virtual

Evaluate all the points (ui, vj) into spoint(i,j,.).

Here ui=utau(i) for 0<=i<utau.length() and vj=vtau(j) for 0<=j<vtau.length().

引数

utau	u方向のデータポイント
vtau	v方向のデータポイント
spoint	evaluated data will be output to spoint.

MGVector MGSurface::evaluate ( const MGPosition &  t, const int *  nderiv  ) 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 MGSurface& MGSurface::exchange_uv ( )

pure virtual

Exchange parameter u and v.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSurface& MGSurface::extend ( int  perimeter, double  param, double  length, double  dk = 0.  )

inlinevirtual

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.

MGSBRep, MGRSBRep, MGSphere, MGCylinderで再実装されています。

virtual bool MGSurface::flat ( const MGBox &  uvbox, double  tol, int &  direction, MGPosition &  P, MGUnit_vector &  N  ) const

protectedvirtual

Test if the surface is flat or not within the parameter value rectangle of uvbox. Function's return value is: true: if the surface is flat false: if the surface is not falt. When this is not falt, the direction that indicates which direction the surface should be divided will be output. ***** the flatness is tested only approximately. This is for exclusive use of planar().

引数

uvbox	Target parameter range.
tol	Tolerance allowed to regart flat (Allowed distance from a plane).
direction	1: u-direction is more non flat. 0: v-direction is more non flat.
P	Position of the flat plane will be output.
N	Normal of the flat plane will be output.

MGPlane, MGCylinderで再実装されています。

const MGFSurface* MGSurface::fsurface ( ) const

inlinevirtual

Get the MGFSurface pointer if this is MGSurface or MGFace.

MGObjectを再実装しています。

MGFSurface* MGSurface::fsurface ( )

inlinevirtual

MGObjectを再実装しています。

void MGSurface::fundamentals	(	const MGPosition &	uv,
		double	Q[6],
		MGUnit_vector &	UN
	)		const

Compute 1st and 2nd fundamental quantities of the surface.

In Q, 1st and 2nd fundamental quantities are returned as: Q[0]=E=fufu, Q[1]=F=fufv, Q[2]=G=fvfv, Q[3]=L=fuuUN, Q[4]=M=fuvUN=fvuUN, Q[5]=N=fvvUN.

引数

uv	Surface parameter value (u,v)
Q	Fundamental quantities will be returned.
UN	Normal vector at uv will be returned.

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

引数

u	Surface parameter u value of (u,v)
v	Surface parameter v value of (u,v)
Q	Fundamental quantities will be returned.
N	Normal vector at uv will be returned.

void MGSurface::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).

The plane's origin is center point of the plane when the surface is mapped onto the plane. The uderiv of the plane is the direction from the point(u0, v0) to (u1,v0).

引数

u0	u range from u0 to u1.
u1	u range from u0 to u1.
v0	v range from v0 to v1.
v1	v range from v0 to v1.
plane	The plane will be output.
width	The width and the height of the plane that include all the data
height	for the surface point to map onto the plane will be output

MGFace* MGSurface::get_face_pointer ( )

inlinevirtual

get face pointer if this is MGFace, else null will be returned.

MGFSurfaceを実装しています。

const MGFace* MGSurface::get_face_pointer ( ) const

inlinevirtual

MGFSurfaceを実装しています。

void MGSurface::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.

virtual int MGSurface::get_number_of_boundaries ( ) const

inlinevirtual

Get number of inner boundaries as the output of the function.

MGFSurfaceを実装しています。

MGCurve* MGSurface::get_parameterCurve

(

const MGCurve &

wcrv

)

const

Given world curve wcrv on this face, get the parameter space representation pcrv.

Function's return value is pcrv, which is newed one. Must be deleted.

MGSurface* MGSurface::get_surface_pointer ( )

inlinevirtual

get surface pointer. Null will never be returned if this is valid MGFSurface.

That is, if this is MGFace, base surface will be returned.

MGFSurfaceを実装しています。

const MGSurface* MGSurface::get_surface_pointer ( ) const

inlinevirtual

MGFSurfaceを実装しています。

int MGSurface::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.

Function's returned value is the number of common part curve part, which is 2 at most.

引数

crv	crv must be a cotinuous one curve, must not be MGCompositeCurve.
pspan	parameter range of crv and perimeters will be output.
peri_num	perimeter number of pspan[i] will be output in peri_num[i], (pspan[i], peri_num[i]) is one pair.

virtual bool MGSurface::has_commonFS ( const MGObject &  obj2 ) const

inlinevirtual

Test if this and 2nd object has common area about their box(),taking error into account.

MGFSurfaceを実装しています。

virtual long MGSurface::identify_type ( ) const

pure virtual

Return This object's typeID.

MGGelを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual bool MGSurface::in_range ( double  u, double  v  ) const

pure virtual

Test if the parameter(u,v) is in this surface's parameter range.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

inlinevirtual

MGFSurfaceを実装しています。

int MGSurface::in_range_with_on ( const MGPosition &  uv ) const

virtual

Test if (u,v) is inside the face.

Function's return value is: 0:outside the face. 1:unknown. 2:inside the face, not on a boundary. <0:(u,v) is on an inner boundary, and abs(return code) is the loop id. 4:(u,v) is on the outer boundary. >=10: (u,v) is on a perimeter, (10+perimeter number) will be returned.

MGFSurfaceを実装しています。

virtual MGPvector<MGCurve> MGSurface::inner_boundary ( int  i ) const

virtual

Obtain i-th inner_boundary curves(world coordinates representation) of the FSurface.

Let the output of inner_boundary(i) be wcurves and of inner_boundary_param(i) be pcurves, then wcurves[j] corresponds to pcurves[j] one to one. Number of inner_boundary can be obtained by the function number_of_inner_boundary().

MGFSurfaceを実装しています。

virtual MGPvector<MGCurve> MGSurface::inner_boundary_param ( int  i ) const

virtual

Obtain i-th inner_boundary curves.

Obtain i-th inner_boundary curves(world coordinates representation) of the FSurface. Let the output of inner_boundary(i) be wcurves and of inner_boundary_param(i) be pcurves, then wcurves[j] corresponds to pcurves[j] one to one. Number of inner_boundary can be obtained by the function number_of_inner_boundary().

MGFSurfaceを実装しています。

MGCSisect_list MGSurface::intersect

(

const MGCurve &

curve

)

const

Default surface-curve intersection function.

Restriction for this surface and curve:

1. this surface and curve must not have C0 continuity in it.
2. param_s() and param_e() of this surface and curve must return real start and end parameter values. That is, must be finite.

MGCSisect_list MGSurface::intersect

(

const MGEllipse &

el

)

const

Default surface-curve intersection function.

MGSSisect_list MGSurface::intersect ( const MGSurface &  srf2 ) const

protected

Default intersection program of MGSurface. It is assumed that both this and srf2 are not a plane.

virtual int MGSurface::intersect_dnum_u ( ) const

protectedpure virtual

The following two function will be used in perps or isect to decide how many division of the surface along u or v direction should be applied before using perp_guess or isect_guess.

MGPlane, MGSphere, MGCylinderで実装されています。

virtual int MGSurface::intersect_dnum_v ( ) const

protectedpure virtual

MGPlane, MGSphere, MGCylinderで実装されています。

MGPosition_list MGSurface::intersectInner ( const MGSurface &  sf2 ) const

protected

Compute intersection points of an inner parameter line of this surface and sf2. The intersection point is used to compute surface to surface intersection lines. Function's return value is at most one intersection point un uvuv_list. One member of uvuv_list is (u1,v1,u2,v2), where (u1,v1) is a parameter of this surface and (u2,v2) is a parameter of surf.

引数

sf2	The second surface.

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

virtual

MGObjectを実装しています。

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

virtual

MGObjectを実装しています。

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

virtual

MGObjectを実装しています。

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

virtual

MGObjectを実装しています。

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

virtual

MGObjectを実装しています。

MGSSisect_list MGSurface::intersectPl ( const MGPlane &  srf2 ) const

protected

Default intersection program of MGSurface with a plane.

bool MGSurface::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.

That is, surface is flat within surftol from the average plane, and all of the egedes are small compared with melen2.

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

pure virtual

Surface and Surface intersection.

Surface と Surface の交線を求める。

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSSisect_list MGSurface::isect ( const MGPlane &  srf2 ) const

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSSisect_list MGSurface::isect ( const MGSphere &  srf2 ) const

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSSisect_list MGSurface::isect ( const MGCylinder &  srf2 ) const

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSSisect_list MGSurface::isect ( const MGRSBRep &  srf2 ) const

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGSSisect_list MGSurface::isect ( const MGBSumSurf &  srf2 ) const

pure virtual

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

MGSSisect_list MGSurface::isect ( const MGFace &  f ) const

virtual

MGFSurfaceを実装しています。

MGSSisect_list MGSurface::isect ( const MGFSurface &  fsurf ) const

virtual

MGFSurfaceを実装しています。

MGHHisect_vector MGSurface::isect ( const MGShell &  shell2 ) const

virtual

Intersection.

MGFSurfaceを実装しています。

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

pure virtual

Curve and Surface intersection.

Surface と Curve の交点を求める。

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual int MGSurface::isect_area_length ( ) const

inlineprotectedvirtual

isect_area_length() returns initial area length for the intersection line.

MGFSurfaceを実装しています。

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

inlineprotectedvirtual

isect_direction() is used by isect_startPt() to define which constant parameter line should be used to compute intersection, and what incremental value be used for the parameter. Function's return value is direction to get next intersection(with dt). When =1: u=const direction, =0: v=const, =-1: cannot get intersection.

引数

sf2	Second surface for the intersection.
m1	id of uvuvS that indicates this surface's parameter position in uvuvS. (uvuvS(m1), uvuvS(m1+1))=(u,v) of this surface.
uvuvS	start parameter (u,v) pair of this surface and sf2.
du	Incremental value of the parameter kind of kdt will be output.
dv	Right dt will be output according to the function's output =0,1.
acuRatio	acuracy ratio.

MGFSurfaceを再実装しています。

int MGSurface::isect_div_id_max ( ) const

protected

isect_div_id_max is maximum id of array of sect_div defined in isect_dt_coef. That is, isect_div_id_max+1 is the length of the array sect_div.

virtual MGCurve* MGSurface::isect_incr_pline ( const MGPosition &  uv, int  kdt, double  du, double  dv, double &  u, double &  v, int  incr = 0  ) const

protectedpure virtual

"isect1_incr_pline" is a dedicated function of isect_start_incr, will get shortest parameter line necessary to compute intersection.

引数

uv	last intersection point.
kdt	Input if u=const v-parameter line or not, true:u=const, false:v=const.
du	Incremental parameter length of u.
dv	Incremental parameter length of v.
u	next u value will be output.
v	next v value will be output.
incr	Incremental valuse of B-coef's id.

MGFSurfaceを実装しています。

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

inlineprotectedvirtual

"isect_inner_dt" is a dedicated function of isect_startPt, comutes adequate incremental parameter value(du,dv) and parameter line kind kdt(u=const or v=const).

引数

n	num of i.p. obtained so far(not include uvnow).
uvnow	intersection point obtained last(of this).
du	incremental u length from previous to uvnow is input. New du or dv will be output according to kdt's return value.
dv	incremental v length.
kdt	Parameter kind used so far is input, will be output as: =1:parameter line kind(u=const), =0: v=const, =-1:should halt computation since incremental value is zero.
acuRatio	Accurate ratio.

MGFSurfaceを再実装しています。

virtual int MGSurface::isect_order ( ) const

pure virtual

Return order of intersection line order of MGLBRep. The default is 4.

MGBSumSurfで実装されています。

virtual MGCSisect_list MGSurface::isect_with_noCompoSC ( const MGSurfCurve &  scrv ) const

protectedvirtual

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

virtual MGCSisect_list MGSurface::isect_withC1LB ( const MGLBRep &  lb ) const

protectedvirtual

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

virtual MGCSisect_list MGSurface::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.

MGSBRep, MGPlane, MGRSBRep, MGCylinder, MGSphereで再実装されています。

virtual double MGSurface::knot_u ( int  i ) const

inlinevirtual

Access to i-th element of u knot.

MGFSurfaceを再実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで再実装されています。

virtual double MGSurface::knot_v ( int  i ) const

inlinevirtual

Access to i-th element of v knot.

MGFSurfaceを再実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで再実装されています。

virtual const MGKnotVector& MGSurface::knot_vector_u ( ) const

pure virtual

Returns the u knot vector.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGKnotVector& MGSurface::knot_vector_u ( )

pure virtual

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual const MGKnotVector& MGSurface::knot_vector_v ( ) const

pure virtual

Returns the v knot vector.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGKnotVector& MGSurface::knot_vector_v ( )

pure virtual

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual bool MGSurface::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 projected to i-th perimeter of the surface.

引数

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

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

int MGSurface::manifold_dimension ( ) const

inlinevirtual

Get manifold dimension.

MGGelを再実装しています。

virtual void MGSurface::negate ( )

inlinevirtual

Negate direction of surface.

面の方向を反転する。 Change direction of the surface.

MGGeometryを再実装しています。

virtual void MGSurface::negate ( int  is_u )

pure virtual

Negate direction of surface.

引数

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

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

void MGSurface::negate_transform ( MGGeometry &  boundary ) const

virtual

Transform the coordinates of boundary of this geometry.

Transformation is done 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 of parameter world of this geometry.

MGGeometryを実装しています。

virtual void MGSurface::negateFS ( )

inlinevirtual

Negate the FSurface.

MGFSurfaceを実装しています。

virtual MGVector MGSurface::normal ( double  u, double  v  ) const

virtual

Compute normal vector(not unit) at uv.

MGFSurfaceを実装しています。

MGPlaneで再実装されています。

virtual MGVector MGSurface::normal ( const MGPosition &  uv ) const

virtual

Compute normal vector(not unit) at uv.

MGFSurfaceを実装しています。

MGPlaneで再実装されています。

virtual const MGObject* MGSurface::object_pointer ( ) const

inlinevirtual

Get the object point of this MGFSurface.

MGFSurfaceを実装しています。

virtual MGObject* MGSurface::object_pointer ( )

inlinevirtual

MGFSurfaceを実装しています。

virtual MGPvector<MGSurface> MGSurface::offset ( double  ofs_value, int &  error  ) const

virtual

Surface offset.

一定オフセット関数 オフセット方向は、ノーマル方向を正とする。曲率半径より大きいオフセットは行わない。 戻り値は、オフセット曲面リストが返却される。エラーのとき長さ0の曲面リストが返る。 トレランスはline_zero()を使用している。 Surface offset. positive offset value means offset normal direction.line_zero() is used. the radius of curvature is larger than offset value.

引数

ofs_value	オフセット量
error	エラーコード 0:成功 -2:曲率半径以上のオフセット不可 -3:面生成コンストラクタエラー

virtual std::auto_ptr<MGSurface> MGSurface::offset_c1 ( double  ofs_value, int &  error  ) const

virtual

C1 continuous Surface offset.

C1連続曲面の一定オフセット関数 オフセット方向は、ノーマル方向を正とする。曲率半径より大きいオフセットは行わない。 戻り値は、オフセットした曲面のオートポインタが返却される。エラーのときヌルが返る。 トレランスはline_zero()を使用している。 C1 continuous Surface offset. positive offset value means offset normal direction. the radius of curvature is larger than offset value.line_zero() is used.

引数

ofs_value	オフセット量
error	エラーコード 0:成功 -1:面におれがある -2:曲率半径以上のオフセット不可 -3:面生成コンストラクタエラー

MGPlane, MGSphere, MGCylinderで再実装されています。

int MGSurface::offset_fs ( double  distance, MGPvector< MGFSurface > &  vecOfsFSurface  ) const

virtual

Offset.

distance is plus value if the direction is toward normal vector of the FSurface. Minus if against the normal vector. エラーコード 0:成功 -1:曲率半径以上のオフセット不可 -3:面生成コンストラクタエラー

MGFSurfaceを実装しています。

virtual bool MGSurface::on ( const MGPosition &  P, MGPosition &    ) const

virtual

Test if point P is ont the surface or not.

与えられた誤差内で点が面上にあるかどうかテストする。 Test if point P is ont the surface or not. Even if P is not on the surface, return parameter of the nearest point of the surface.

引数

P	A point. 指定点

MGFSurfaceを実装しています。

MGPlane, MGSphere, MGCylinderで再実装されています。

virtual bool MGSurface::on_a_perimeter ( double &  u, double &  v, int &  perim_num  ) const

virtual

Test if input (u,v) is parameter value on a perimeter of the surface.

If u or v is on a perimeter, (u,v) will be updated to the perimeter value.

引数

u	Surface parameter u of (u,v)
v	Surface parameter v of (u,v)
perim_num	if function returns true,the perimete number will be output, If function returns false, the nearest perimeter number will be output.

MGFSurfaceを実装しています。

MGPlane, MGCylinderで再実装されています。

bool MGSurface::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.

If x is on a perimeter, x will be updated to the perimeter value. Function's return value is true if on a perimeter.

引数

is_u	specify if x is u or v value, is_u!=0(true) means u value.
x	Surface parameter (u,v)
perim_num	if function returns true,the perimete number will be output.

virtual bool MGSurface::on_perimeter ( const MGCurve &  uvcurve, int &  perim_num  ) const

virtual

Test the uvcurve is on a perimeter.

If on a perimeter, true will be returned.

引数

uvcurve	curve of surface parameter (u,v)
perim_num	if function returned true, the perimete number will be output.

virtual bool MGSurface::on_the_perimeter ( int  perim_num, double  u, double  v  ) const

virtual

Test if input (u,v) is on the perimeter perim_num.

If u or v is on a perimeter, true will be returned.

引数

perim_num	a perimete number is input.
u	Surface parameter u of (u,v)
v	Surface parameter v of (u,v)

MGPlaneで再実装されています。

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

pure virtual

MGObjectを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

MGObjectを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

MGObjectを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

Object transformation.

MGObjectを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

MGObjectを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

pure virtual

MGGelを再実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

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

inlinevirtual

Assignment. When the leaf object of this and obj2 are not equal, this assignment does nothing.

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

pure virtual

comparison

MGGelを再実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual int MGSurface::order_u ( ) const

inlinevirtual

Returns the order of u.

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

virtual int MGSurface::order_v ( ) const

inlinevirtual

Returns the order of v.

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

virtual std::ostream& MGSurface::out ( std::ostream &  ostrm ) const

virtual

Output virtual function.

MGGeometryを再実装しています。

MGSBRep, MGRSBRep, MGBSumSurf, MGPlane, MGPlaneImage, MGSphere, MGCylinderで再実装されています。

virtual MGPvector<MGCurve> MGSurface::outer_boundary ( ) const

virtual

Obtain outer_boundary curves(world coordinates representation) of the FSurface.

Let the output of outer_boundary() be wcurves and of outer_boundary_param() be pcurves, then wcurves[i] corresponds to pcurves[i] one to one. The output curves can be considered as a continuous counter-clockwise ordered boundary of the surface.

MGFSurfaceを実装しています。

virtual MGPvector<MGCurve> MGSurface::outer_boundary_param ( ) const

virtual

Obtain boundary curves(parameter space representation) of the FSurface.

Let the output of boundary() be wcurves and of boundary_parameter() be pcurves, then wcurves[i] corresponds to pcurves[i] one to one.

MGFSurfaceを実装しています。

std::ostream& MGSurface::outFS ( std::ostream &  ostrm ) const

inlinevirtual

Output virtual function.

MGFSurfaceを実装しています。

virtual MGPosition MGSurface::param ( const MGPosition &  ) const

virtual

Return surface parameter value of a point on the surface.

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 surface, return the nearest point on the surface.

MGFSurfaceを実装しています。

MGPlaneで再実装されています。

virtual double MGSurface::param_e_u ( ) const

pure virtual

Return ending parameter value.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual double MGSurface::param_e_v ( ) const

pure virtual

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual double MGSurface::param_error ( ) const

virtual

Obtain parameter space error.

MGPlane, MGSphere, MGCylinderで再実装されています。

virtual double MGSurface::param_error_u ( ) const

virtual

MGPlaneで再実装されています。

virtual double MGSurface::param_error_v ( ) const

virtual

MGPlaneで再実装されています。

MGPosition MGSurface::param_mid ( ) const

inlinevirtual

Return parameter value of the middle point of the surface.

The middle point is defined as the parameter (u,v) where u=(param_s_u()+param_e_u())/2, and v likewise.

MGFSurfaceを再実装しています。

double MGSurface::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).

Let wcurve be a world curve rep that lies on this surface, and pcurve is parameter (u,v) expression of wcurve. That is, wcurve==MGSurfCurve pline(*this,pcurve). Then, param_of_pcurve() will obtain Let S() is this surface, fp() is pcurve, and fw() is wcurve. Then S(fp(tp))=fw(tb).

引数

tw	point parameter of wcurve to get the pcurve parameter.
wcurve	world curve that lies on this surface.
pcurve	This surface's parameter rep of wcurve.
guess	guess parameter value to compute tp. When guess=null, param_of_pcurve will define the guess parameter.

virtual MGBox MGSurface::param_range ( ) const

virtual

Return parameter range.

MGFSurfaceを実装しています。

MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで再実装されています。

virtual double MGSurface::param_s_u ( ) const

pure virtual

Return starting parameter value.

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual double MGSurface::param_s_v ( ) const

pure virtual

MGFSurfaceを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual double MGSurface::param_span ( ) const

virtual

Compute square of parameter span length from (u.min, v.min) to (u.max, v.max).

MGPosition MGSurface::parameter

(

const MGPosition &

P

)

const

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 geometry, return the nearest point on the geometry.

引数

P	Point(指定点)

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

pure 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.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

MGPvector<MGCurve> MGSurface::parameter_curves ( int  is_u, double  x  ) const

virtual

Obtain parameter curves.

In the case of surFSurface, parameter curve is only one. However, in the case of FSurface, number of parameter curves are more than one.

引数

is_u	True(!=0) if x is u-value.(i.e. obtain u=const line)
x	parameter value. u or v-value accordint to is_u.

MGFSurfaceを実装しています。

MGBox MGSurface::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 MGSurface* MGSurface::part ( const MGBox &  bx, int  multiple = 0  ) const

pure virtual

Compute part of the surface limitted by the parameter range bx.

bx(0) is the parameter (us,vs) and bx(1) is (ue,ve). That is u range is from us to ue , and so on. Retured is newed object, must be deleted.

引数

bx	Target box.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual MGCurve* MGSurface::perimeter_curve ( int  i ) const

virtual

Retrieve perimeter i of this surface.

i must be < perimeter_num(). When perimeter_num()==0, this function is undefined. Retured is newed object, must be deleted.

MGPlane, MGSphere, MGCylinder, MGPlaneImageで再実装されています。

virtual int MGSurface::perimeter_num ( ) const

pure virtual

Return how many perimeters this surface has.

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurf, MGPlaneImageで実装されています。

virtual MGPosition MGSurface::perimeter_uv ( int  i, double  t  ) const

virtual

Construct perimeter i's (u,v) parameter position.

MGPlane, MGPlaneImageで再実装されています。

virtual int MGSurface::perp_guess ( const MGPosition &  uv0, const MGPosition &  uv1, const MGPosition &  P, const MGPosition &  uvguess, MGPosition &  uv  ) const

virtual

Compute a perpendicular point from a point P, given guess parameter value uvguess.

Function's return value is: true if uv is obtained, false if uv is not obtained.

引数

uv0	parameter range of this surface, from uv0 to uv1.
uv1	parameter range of this surface, When uv0(0)>=uv1(0) or uv0(1)>=uv1(1), no limit for this parameter range.
P	Point(指定点).
uvguess	guess parameter value of surface.
uv	Parameter value will be returned.

bool MGSurface::perp_guess ( const MGPosition &  P, const MGPosition &  uvguess, MGPosition &  uv  ) const

virtual

Return the foot of the perpendicular straight line from P.

Computation is done from the guess parameter value. Function's return value is whether point is obtained(true) or not(false).

引数

P	Point
uvguess	guess parameter value of the shell
uv	Parameter value will be returned.

MGFSurfaceを実装しています。

virtual int MGSurface::perp_guess ( const MGPosition &  uv0, const MGPosition &  uv1, const MGCurve &  curve, double  t0, double  t1, const MGPosition &  tuvg, MGPosition &  tuv  ) const

virtual

Compute perpendicular points of a curve and a surface.

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

引数

uv0	parameter range of this surface, from uv0 to uv1.
uv1	parameter range of this surface. When uv0(0)>=uv1(0) or uv0(1)>=uv1(1), no limit for this parameter range.
curve	curve.
t0	parameter range of curve, from t0,
t1	parameter range of curve, to t1. When t0>=t1, no limit for curve2 parameter range.
tuvg	Guess parameter value of curve and this surface.
tuv	perpendicular points' parameter values will be output. tuv(0): curve's parameter, (tuv(1),tuv(2)):this surface's parameter.

virtual int MGSurface::perp_guess ( const MGPosition &  uv0, const MGPosition &  uv1, const MGCompositeCurve &  crv, double  t0, double  t1, const MGPosition &  tuvg, MGPosition &  tuv  ) const

virtual

Compute perpendicular points of a curve and a surface.

引数

uv0	parameter range of this surface, from uv0 to uv1.
uv1	When uv0(0)>=uv1(0) or uv0(1)>=uv1(1), no limit for this parameter range.
crv	MGCompositeCurve.
t0	parameter range of curve, from t0 to t1.
t1	When t0>=t1, no limit for curve2 parameter range.
tuvg	Guess parameter value of curve and this surface.
tuv	perpendicular points' parameter values will be output, tuv(0): curve's parameter, (tuv(1),tuv(2)):this surface's parameter.

virtual bool MGSurface::perp_guess ( const MGCurve &  curve, const MGPosition &  uvguess, double  tguess, MGPosition &  uv, double &  t  ) const

virtual

Compute perpendicular points of a curve and a surface.

Given guess a starting paramter value, compute perpendicular points. 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

curve	curve.
uvguess	Guess parameter value of the FSurface.
tguess	Guess parameter value of the curve.
uv	perpendicular point's parameter values of the shell will be output.
t	Curve's point's parameter value will be output.

MGFSurfaceを実装しています。

virtual int MGSurface::perp_point ( const MGPosition &  P, MGPosition &  uv, const MGPosition *  uvguess = 0  ) const

virtual

Return the foot of the perpendicular straight line from P.

Return the foot that is nearest to point uvguess. 与点にもっとも近い、与点から面に垂直な面上の点を求める。 Function's return value is whether point is obtained(1) or not(0).

引数

P	指定点
uv	Parameter value of the plane will be output パラメータ値
uvguess	guess parameter value of the surface

MGFSurfaceを実装しています。

MGPlane, MGSphere, MGCylinderで再実装されています。

virtual MGPosition_list MGSurface::perps ( const MGPosition &  P ) const

virtual

Return all foots of perpendicular straight lines from P.

引数

P	Point of a space(指定点)

MGFSurfaceを実装しています。

MGPlane, MGSphere, MGCylinderで再実装されています。

MGPosition MGSurface::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 MGPosition MGSurface::range ( const MGPosition &  ) const

virtual

Round the input parameter value uv.

入力パラメータをパラメータ範囲でまるめて返却する。 Round the input parameter value uv into the parameter range of the surface.

MGFSurfaceを実装しています。

MGRSBRep, MGPlane, MGSphere, MGCylinderで再実装されています。

virtual void MGSurface::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。

MGGeometryを再実装しています。

MGSBRep, MGPlane, MGRSBRep, MGCylinder, MGSphere, MGBSumSurf, MGPlaneImageで再実装されています。

virtual void MGSurface::remove_knot ( )

virtual

removal redundant knots within the tolerance line_zero().

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

MGSBRep, MGRSBRepで再実装されています。

virtual MGSurface& MGSurface::rotate_self ( const MGVector &  vec, double  angle, const MGPosition &  origin = mgORIGIN  )

virtual

Rotate the surface around the straight line.

指定点をとおり指定方向ベクトルを持つ直線の回りを指定角度の 回転を行ない自身の面とする。 Rotate the surface around the straight line whose direction is vec and that passes through origin.

virtual int MGSurface::sdim ( ) const

pure virtual

Return the surface type.

MGGeometryを実装しています。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

virtual void MGSurface::shade ( mgVBO &  vbo, const MGDrawParam &  para, mgVBO::ELEMENT_TARGET  target = mgVBO::SHADING  ) const

virtual

Shade the object in world coordinates.

MGObjectを再実装しています。

MGPlane, MGPlaneImageで再実装されています。

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

inlinevirtual

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 box.
multiple	Indicates if start and end knot multiplicities are necessary. =0:unnecessary, !=0:necessary.

MGSBRep, MGRSBRep, MGBSumSurfで再実装されています。

virtual void MGSurface::split ( double  param, bool  is_u, MGPvector< MGFSurface > &  surfaces  ) const

virtual

split this fsurface at the parameter param.

引数

param	parameter value of this fsurface. if is_u is true, param is u-value, else v-value.
is_u	indicates if param is u or v of the surface parameter (u,v).
surfaces	splitted surfaces will be output.

MGFSurfaceを実装しています。

MGPlaneで再実装されています。

const MGSurface* MGSurface::surf ( ) const

inlinevirtual

Return MGSurface pointer.

Return MGSurface pointer if this is a MGSurface. Else returns null.

MGGelを再実装しています。

MGSurface* MGSurface::surf ( )

inlinevirtual

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

MGGelを再実装しています。

virtual MGSBRep* MGSurface::surf1D ( const MGPlane &  pl ) const

protectedpure virtual

Obtain 1D surface rep. of this surf which can be used for isect(const MGPlane& pl). This surf1D is used in isect for the argument of isect_startPlane, which will use surf1D to compute isect(pl). surf1D=0.(intersection with x=0. plane) is the intersection lines.

bool MGSurface::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).

Also, test if the surface is within surface_tol and angle from the plane. The plane's origin is center point of the plane when the surface is mapped　onto the plane. the uderiv is the direction from the point(u0, v0) to (u1,v0). Function's return value is true when the surface is within the tolerance surface_tol, and the surface normals are within angle from the plane's normal plane, width, and height are valid only when function's return value is true.

引数

u0	u range from u0.
u1	to u1.
v0	v range from v0.
v1	to v1.
surface_tol	tolerance allowed for the deviation from the plane to the surface.
angle	angle allowed for the normal of the plane and the normals of the surface.
plane	The plane will be output.
width	The width and the height of the plane that include all the data.
height	for the surface point to map onto the plane.

virtual void MGSurface::triangulate ( const MGDrawParam &  para, MGCL::TL_DATA_KIND  dkind, std::vector< mgTL2Triangles > &  trisVec  ) const

virtual

Triangulate this object(MGShell, MGFace, or MGSurface is the target).

MGFSurfaceを実装しています。

virtual MGSURFACE_TYPE MGSurface::type ( ) const

pure virtual

Return the surface type.

面のTypeを返却する。

MGSBRep, MGRSBRep, MGPlane, MGSphere, MGCylinder, MGBSumSurfで実装されています。

MGUnit_vector MGSurface::unit_normal ( const MGPosition &  uv ) const

virtual

Compute unit normal vector at uv.

MGFSurfaceを実装しています。

MGUnit_vector MGSurface::unit_normal ( double  u, double  v  ) const

virtual

Compute unit normal vector at uv.

MGFSurfaceを実装しています。

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

inlinevirtual

MGGeometryを再実装しています。

MGSBRep, MGRSBRep, MGPlane, MGCylinder, MGSphere, MGBSumSurf, MGPlaneImageで再実装されています。

virtual void MGSurface::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。

MGGeometryを再実装しています。

MGSBRep, MGPlane, MGRSBRep, MGCylinder, MGSphere, MGBSumSurf, MGPlaneImageで再実装されています。

フレンドと関連関数の詳解

MG_DLL_DECLR friend void isect_start_adjustSE ( int  ngtan, MGNDDArray &  tau, MGBPointSeq &  point, MGLBRep &  lineb, MGVector *  tan[2]  )

friend

Update lineb so as to have the tangent tan for start or end according to ngtan.

引数

ngtan	Return value of isect_start_tan, indicates which end be adjusted. =1: start tangent, =2:end tangent, =3:both tangent.
tau	data point abcissa.
point	data point ordinate.
lineb	line b-rep obtained so far. tangent adjusted new B-rep will be output.
tan	accurate tangent data obtained by isect_start_tan.

MG_DLL_DECLR friend int isect_start_tan ( const MGFSurface &  sf1, const MGFSurface &  sf2, const MGLBRep &  lineb, MGVector *  Tse[2]  )

friend

Check if the intersection line lineb's start and end tangent vectors are accurate enough. If they do not have enough accuracy, isect_start_tan returns which end did not have the accuracy. 1:start, 2:end, 3:start and end. If both ends had enough accuracy, returns 0.

引数

sf1	Surface 1.
sf2	Surface 2.
lineb	the intersection line.
Tse	If an end had not the accuracy, accurate tangent will be output. Tse[0]:start, Tse[1]:end.

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このクラス詳解は次のファイルから抽出されました:

• mg/Surface.h