MGPlane クラス

MGPlane is infinite plane in 3D space. [詳解]

MGPlane の継承関係図

公開メンバ関数
	MGPlane (void)
	Void constructor 初期化なしで平面を生成する。 [詳解]
	MGPlane (const MGPlane &pl)
	Copy constructor. [詳解]
	MGPlane (int dim, const MGPlane &plane, int start1=0, int start2=0)
	Construct a plane by changing this space dimension or ordering the coordinates. [詳解]
	MGPlane (const double g[4], const double *root_point=0)
	MGPlane (const MGUnit_vector &normal, double d)
	MGPlane (const MGUnit_vector &normal, const MGPosition &p)
	MGPlane (const MGStraight &st, const MGPosition &point)
	MGPlane (const MGVector &uderiv, const MGVector &vderiv, const MGPosition &origin)
	MGPlane (const MGPlane &plane1, const MGPlane &plane2, double t)
	MGPlane (const MGPosition &P1, const MGPosition &P2, const MGPosition &P3)
	Construct a plane from three points on the plane. [詳解]
	~MGPlane ()
MGPlane &	operator= (const MGPlane &gel2)
MGPlane &	operator= (const MGGel &gel2)
MGPlane	operator+ (const MGVector &v) const
	Transformation object construction. [詳解]
MGPlane	operator- (const MGVector &v) const
MGPlane	operator* (double scale) const
MGPlane	operator* (const MGMatrix &mat) const
MGPlane	operator* (const MGTransf &tr) const
MGPlane &	operator+= (const MGVector &v)
	Object transformation. [詳解]
MGPlane &	operator-= (const MGVector &v)
MGPlane &	operator*= (double scale)
MGPlane &	operator*= (const MGMatrix &mat)
MGPlane &	operator*= (const MGTransf &tr)
bool	operator== (const MGPlane &gel2) const
	Comparison of two curves. [詳解]
bool	operator== (const MGGel &gel2) const
	comparison [詳解]
bool	operator< (const MGPlane &gel2) const
bool	operator< (const MGGel &gel2) const
bool	operator!= (const MGGel &gel2) const
bool	operator!= (const MGPlane &gel2) const
int	out_to_IGES (MGIgesOfstream &igesfile, int SubordinateEntitySwitch=0) const
	Output to IGES stream file(=PD190). [詳解]
std::ostream &	out (std::ostream &) const
void	abcd (double g[4]) const
	Gets parameters(a,b,c,d) of the plane expression a*x+b*y+c*z=d. [詳解]
MGBox	box_limitted (const MGBox &uvrange) const
	g[.]=(a,b,c,d) [詳解]
virtual MGPosition	center () const
	Obtain ceter coordinate of the geometry. [詳解]
MGPlane &	change_dimension (int sdim, int start1=0, int start2=0)
	Changing this object's space dimension. [詳解]
MGPlane &	change_range (int is_u, double t1, double t2)
void	change_root_point (const MGPosition &new_point)
	Change root point. [詳解]
MGPosition	closest (const MGPosition &point) const
MGPlane *	clone () const
MGPlane *	copy_change_dimension (int sdim, int start1=0, int start2=0) const
void	display_arrows (mgSysGL &sgl) const
double	distance () const
double	distance (const MGPosition &point) const
virtual void	drawWire (mgVBO &vbo, double span_length, int line_density=1) const
void	drawWirePlane (mgVBO &vbo, double span_length, int line_density=1, mgVBO::ELEMENT_TARGET target=mgVBO::WIRE) const
virtual void	shade (mgVBO &vbo, const MGDrawParam &para, mgVBO::ELEMENT_TARGET target=mgVBO::SHADING) const
	Shade the object in world coordinates. [詳解]
MGVector	eval (double u, double v, int ndu=0, int ndv=0) const
	Evaluate surface data. [詳解]
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
MGSurface &	exchange_uv ()
	Exchange parameter u and v. [詳解]
long	identify_type () const
	Return This object's typeID. [詳解]
bool	in_range (double u, double v) const
	Test if the parameter(u,v) is in this surface's parameter range. [詳解]
bool	in_range (const MGPosition &uv) const
int	intersect_dnum_u () const
int	intersect_dnum_v () const
MGCSisect_list	isect (const MGCurve &curve) const
MGCSisect_list	isect (const MGStraight &curve) 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
int	isect_startHPL (const MGPosition &uvuv_startIn, MGPosition_list &uvuv_list, const MGSurface &sf2, MGSSisect &ssi, MGPosition_list::iterator &uvuv_id) const
double	knot_u (int) const
	Return knot value of (infinite-minus, infinite-plus) [詳解]
double	knot_v (int) const
	Access to i-th element of v knot. [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 ()
virtual void	make_display_list (MGCL::VIEWMODE vmode=MGCL::DONTCARE) const
	Make a display list of this gel. [詳解]
void	negate (int is_u)
	Negate the normal of the plane,平面を反転する。ノーマルを逆方向にする. [詳解]
MGPosition	negate_param (const MGPosition &uv, int is_u=1) const
MGVector	normal (double u, double v) const
	Return the normal of the plane, 平面の法線を返却する. [詳解]
MGVector	normal (const MGPosition &uv) const
	Compute normal vector(not unit) at uv. [詳解]
const MGUnit_vector &	normal () const
void	normalize ()
std::auto_ptr< MGSurface >	offset_c1 (double ofs_value, int &error) const
bool	on (const MGPosition &point) const
bool	on (const MGPosition &point, MGPosition &puv) const
	Test if point P is ont the surface or not. [詳解]
bool	on (const MGStraight &) const
bool	on_a_perimeter (double &u, double &v, int &perim_num) const
bool	on_the_perimeter (int perim_num, double u, double v) const
MGPosition	param (const MGPosition &) const
double	param_error () const
	Obtain parameter space error. [詳解]
double	param_error_u () const
double	param_error_v () const
virtual double	param_e_u () const
	Return ending parameter value. [詳解]
virtual double	param_e_v () const
virtual MGBox	param_range () const
virtual double	param_s_u () const
	Return starting parameter value. [詳解]
virtual double	param_s_v () const
virtual MGCurve *	parameter_curve (int is_u, double x) const
MGSurface *	part (const MGBox &uvbox, int multiple=0) const
virtual MGCurve *	perimeter_curve (int i) const
virtual int	perimeter_num () const
	Return how many perimeters this surface has. [詳解]
virtual MGPosition	perimeter_uv (int i, double t) const
int	perp_point (const MGPosition &P, MGPosition &uv, const MGPosition *uvguess=NULL) const
MGPosition_list	perps (const MGPosition &P) const
	Return all(actually one) foots of perpendicular straight lines from P. [詳解]
int	planar (MGPlane &plane, double &deviation) const
int	planar (const MGBox &uvbox, double tol, int *divideU=0) const
int	project (const MGStraight &sl, MGPvector< MGCurve > &vec_crv_uv, MGPvector< MGCurve > &vec_crv, const MGVector &vec=mgNULL_VEC) const
int	project (const MGCurve &crv, MGPvector< MGCurve > &vec_crv, const MGVector &vec=mgNULL_VEC) const
MGPosition	range (const MGPosition &uv) const
MGPSRELATION	relation (const MGPlane &, MGStraight &) const
MGPSRELATION	relation (const MGStraight &, MGCSisect &) const
const MGPosition &	root_point () const
int	sdim () const
	Return the space dimension. [詳解]
virtual MGPvector< MGCurve >	skeleton (int density=1) const
MGPvector< MGCurve >	skeleton_at_knots () const
	Obtain all the parameter curves at knots of u and v knot vector. [詳解]
void	split (double param, bool is_u, MGPvector< MGFSurface > &surfaces) const
	split this fsurface at the parameter param. [詳解]
virtual MGSURFACE_TYPE	type () const
const MGVector &	u_deriv () const
const MGVector &	v_deriv () const
MGPosition	uv (const MGPosition &p) const
MGVector	uv (const MGVector &v) const
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]
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]
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_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_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 MGSurface *	copy_surface () const
	Construct new curve object by copying to newed area. [詳解]
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]
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]
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]
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	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]
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]
void	negate_transform (MGGeometry &boundary) const
	Transform the coordinates of boundary of this geometry. [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 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]
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]
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]
MGPosition	param_mid () const
	Return parameter value of the middle point of the surface. [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 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]
MGPosition	pick_closest (const MGStraight &sl) const
	Compute the parameter value of the closest point from the straight to this object. [詳解]
virtual void	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 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]
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 ()
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_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 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 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
MGPvector< MGCurve >	inner_skeleton (int density) const
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
bool	flat (const MGBox &uvbox, double tol, int &direction, MGPosition &P, MGUnit_vector &N) const
bool	flat_tess (double u0, double u1, double v0, double v1, double tol, bool &direction) const
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)
	メンバデータを読み込む関数 [詳解]
void	WriteMembers (MGOfstream &buf) const
	メンバデータを書き込む関数 [詳解]
基底クラス MGSurface に属する継承限定公開メンバ関数
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_direction (const MGFSurface &sf2, int m1, MGPosition &uvuvS, double &du, double &dv, double acuRatio=1.) const
int	isect_div_id_max () 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]

限定公開変数類
MGPosition	m_root_point
MGVector	m_uderiv
MGVector	m_vderiv
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]

フレンド
MG_DLL_DECLR friend MGPlane	operator+ (const MGVector &v, const MGPlane &pl)
MG_DLL_DECLR friend MGPlane	operator* (double scale, const MGPlane &pl)

詳解

MGPlane is infinite plane in 3D space.

Using orthonormal two vector m_uderiv and m_vderiv in 3D space, plane function f(u,v)= m_root_point + u*m_uderiv + v*m_vderiv, where u and v are two parameter of surface representation. MGPlaneクラスは３次元空間における平面を表すクラスである。 MGPlaneクラスでは以下のようなパラメータ表現を使用します。 Point(u,v) = m_root_point + u * m_uderiv + v * m_vderiv

構築子と解体子

MGPlane::MGPlane

(

void

)

Void constructor 初期化なしで平面を生成する。

MGPlane::MGPlane

(

const MGPlane &

pl

)

Copy constructor.

MGPlane::MGPlane	(	int	dim,
		const MGPlane &	plane,
		int	start1 = 0,
		int	start2 = 0
	)

Construct a plane by changing this space dimension or ordering the coordinates.

引数

dim	New space dimension.
plane	Original Plane.
start1	Destination order of new Surface.
start2	Source order of original Surface.

MGPlane::MGPlane	(	const double	g[4],
		const double *	root_point = 0
	)

Construct a plane from the coefficients of the plane equation. a*x+b*y+c*z=d. Coefficients a,b,c,d are provided by double array g[4].

引数

g	coefficients g[0]=a, b=g[1], c=g[2], d=g[3].
root_point	When root_point!=0, root_point[.] are (x,y,z) values of the root point.

MGPlane::MGPlane	(	const MGUnit_vector &	normal,
		double	d
	)

Plane from normal of the plane and the distance from the origin(0,0,0). 平面のノーマルと平面の原点からの距離を指定して面を生成する.

引数

normal	Normal of the plane.
d	distance from origin of the plane. When normal=(a,b,c,....), d=a*x+b*y+c*z+.... .

MGPlane::MGPlane	(	const MGUnit_vector &	normal,
		const MGPosition &	p
	)

Plane from a point on the plane and the normal. 点と平面のノーマルを指定して面を生成する。

MGPlane::MGPlane	(	const MGStraight &	st,
		const MGPosition &	point
	)

Plane from a point and a straight line on the plane. 直線と直線に乗らない点を指定して面を生成する。

MGPlane::MGPlane	(	const MGVector &	uderiv,
		const MGVector &	vderiv,
		const MGPosition &	origin
	)

Plane from a point on the plane, u and v direction vector of the plane. The plane's (uderiv, vderiv) are transfomred to a orthnormal system. 点、ｕ方向、ｖ方向を指定して面を生成する。 ***** This is the fundamental constructor.*****

MGPlane::MGPlane	(	const MGPlane &	plane1,
		const MGPlane &	plane2,
		double	t
	)

Construct a plane by interpolating two planes. If two planes intersect, interpolation is rotation around the intersection line. If two planes are parallel, interpolation is parallel move.

引数

plane1	Target plane1 1.
plane2	Plane 2.
t	Input ratio. When t=0, the plane will be plane1, When t=1, the plane will be plane2.

MGPlane::MGPlane	(	const MGPosition &	P1,
		const MGPosition &	P2,
		const MGPosition &	P3
	)

Construct a plane from three points on the plane.

MGPlane::~MGPlane

(

)

関数詳解

void MGPlane::abcd

(

double

g[4]

)

const

Gets parameters(a,b,c,d) of the plane expression a*x+b*y+c*z=d.

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

virtual

g[.]=(a,b,c,d)

Box that includes limitted plane by box. 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 surface.

MGSurfaceを実装しています。

virtual MGPosition MGPlane::center ( ) const

inlinevirtual

Obtain ceter coordinate of the geometry.

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

MGPlane& MGPlane::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。

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

inlinevirtual

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。

void MGPlane::change_root_point

(

const MGPosition &

new_point

)

Change root point.

MGPlane* MGPlane::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。

MGPlaneImageで再実装されています。

MGPosition MGPlane::closest ( const MGPosition &  point ) const

virtual

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

MGSurfaceを再実装しています。

MGPlane* MGPlane::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 MGPlane::display_arrows ( mgSysGL &  sgl ) const

virtual

MGSurfaceを再実装しています。

double MGPlane::distance ( ) const

inline

Return the distace between plane and the origin(0,0,0). 原点との距離を返却する。

double MGPlane::distance

(

const MGPosition &

point

)

const

Return the distace between plane and the point. 与えられた点との距離を返却する。

virtual void MGPlane::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.

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

void MGPlane::drawWirePlane	(	mgVBO &	vbo,
		double	span_length,
		int	line_density = 1,
		mgVBO::ELEMENT_TARGET	target = mgVBO::WIRE
	)		const

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.
target	target vbo element.

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

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.

MGSurfaceを実装しています。

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

inlinevirtual

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 MGPlane::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)

MGSurfaceを再実装しています。

MGSurface& MGPlane::exchange_uv ( )

virtual

Exchange parameter u and v.

MGSurfaceを実装しています。

bool MGPlane::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 box.
tol	Tolerance allowed to regard 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.

MGSurfaceを再実装しています。

bool MGPlane::flat_tess ( double  u0, double  u1, double  v0, double  v1, double  tol, bool &  direction  ) const

protected

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. This is the same as flat except that this does not have the arguments P, N. ***** the flatness is tested only approximately. This is for exclusive use of tessellation.

引数

u0	u range from u0.
u1	to u1
v0	v range from v0.
v1	to v1
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.

long MGPlane::identify_type ( ) const

virtual

Return This object's typeID.

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

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

inlinevirtual

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

MGSurfaceを実装しています。

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

inlinevirtual

MGFSurfaceを実装しています。

int MGPlane::intersect_dnum_u ( ) const

inlinevirtual

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.

MGSurfaceを実装しています。

int MGPlane::intersect_dnum_v ( ) const

inlinevirtual

MGSurfaceを実装しています。

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

virtual

Surface と Curve の交点を求める。 Compute intesection of Plane and Curve.

MGSurfaceを実装しています。

MGCSisect_list MGPlane::isect

(

const MGStraight &

curve

)

const

MGCSisect_list MGPlane::isect

(

const MGRLBRep &

curve

)

const

MGCSisect_list MGPlane::isect

(

const MGEllipse &

curve

)

const

MGCSisect_list MGPlane::isect

(

const MGLBRep &

curve

)

const

MGCSisect_list MGPlane::isect

(

const MGSurfCurve &

curve

)

const

MGCSisect_list MGPlane::isect

(

const MGBSumCurve &

curve

)

const

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

virtual

Surface と Surface の交線を求める。 Surface and Surface intersection.

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

int MGPlane::isect_startHPL	(	const MGPosition &	uvuv_startIn,
		MGPosition_list &	uvuv_list,
		const MGSurface &	sf2,
		MGSSisect &	ssi,
		MGPosition_list::iterator &	uvuv_id
	)		const

isect_startHPL compute one intersection line of two surfaces, this and sf2, given starting intersetion point uvuv((u1,v1) of this and (u2,v2) of sf2). isect_startHPL halts the computation when intersection reached to a boundary of this or sf2, or reached to one of the points in uvuv_list. The function's return value is: =0: Intersection was not obtained. !=0: Intersection was obtained as follows: =1: End point is a point on a perimeter of one of the surfaces. =3: End point is one of boundary points in uvuv_list.

引数

uvuv_startIn	Starting point of the intersection line.
uvuv_list	isect_startHPL will halt when ip reached one of the point in uvuv_list. isect_startHPL does not change uvuv_list(actually uvuv_list is const). uvuv's space dimension is at least 4, and the first 2 is (u,v) of this and the next 2 is (u,v) of sf2.
sf2	2nd surface.
ssi	Surface-surface intersection line will be output.
uvuv_id	When the end point of ip was one of the points of uvuv_list, that is, when the function's return value was 3, uvuv_list's iterator of the point will be returned, When the end point was not a point of uvuv_list, end() of uvuv_list will be returned.

MGCSisect_list MGPlane::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。

double MGPlane::knot_u ( int  ) const

virtual

Return knot value of (infinite-minus, infinite-plus)

MGSurfaceを再実装しています。

double MGPlane::knot_v ( int  i ) const

virtual

Access to i-th element of v knot.

MGSurfaceを再実装しています。

const MGKnotVector& MGPlane::knot_vector_u ( ) const

virtual

Returns the u knot vector.

MGSurfaceを実装しています。

MGKnotVector& MGPlane::knot_vector_u ( )

virtual

MGSurfaceを実装しています。

const MGKnotVector& MGPlane::knot_vector_v ( ) const

virtual

Returns the v knot vector.

MGSurfaceを実装しています。

MGKnotVector& MGPlane::knot_vector_v ( )

virtual

MGSurfaceを実装しています。

virtual void MGPlane::make_display_list ( MGCL::VIEWMODE  vmode = MGCL::DONTCARE ) const

virtual

Make a display list of this gel.

MGObjectを再実装しています。

void MGPlane::negate ( int  is_u )

virtual

Negate the normal of the plane,平面を反転する。ノーマルを逆方向にする.

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 MGPlane::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.

MGVector MGPlane::normal ( double  u, double  v  ) const

inlinevirtual

Return the normal of the plane, 平面の法線を返却する.

MGSurfaceを再実装しています。

MGVector MGPlane::normal ( const MGPosition &  uv ) const

inlinevirtual

Compute normal vector(not unit) at uv.

MGSurfaceを再実装しています。

const MGUnit_vector& MGPlane::normal ( ) const

inline

void MGPlane::normalize

(

)

Update this plane so that m_uderiv, m_vderiv, m_normal construct a orthonormal system.

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

virtual

Surface offset. positive offset value is offset normal direction. the radius of curvature is larger than offset value.line_zero() is used. 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。トレランスはline_zero()を使用している。 戻り値は、オフセット面のオートポインターが返却される。

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.

MGSurfaceを再実装しています。

bool MGPlane::on

(

const MGPosition &

point

)

const

Test if a point is on the plane. If on the plane, return true. 指定点が面上にあるか調べる。（面上ならばtrue）.

bool MGPlane::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 to test 指定点.

MGSurfaceを再実装しています。

bool MGPlane::on

(

const MGStraight &

)

const

Test if a straight line is on the plane. Return true if on. 直線が平面上にあるか調べる。（平面上ならばtrue）

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

inlinevirtual

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
v	Surface parameter (u,v).
perim_num	if function returns true, the perimete rnumber is output.

MGSurfaceを再実装しています。

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

inlinevirtual

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
v	Surface parameter (u,v).

MGSurfaceを再実装しています。

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

inlinevirtual

MGGelを再実装しています。

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

inline

MGPlane MGPlane::operator*

(

double

scale

)

const

MGPlane MGPlane::operator*

(

const MGMatrix &

mat

)

const

MGPlane MGPlane::operator*

(

const MGTransf &

tr

)

const

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

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

virtual

MGSurfaceを実装しています。

MGPlane MGPlane::operator+

(

const MGVector &

v

)

const

Transformation object construction.

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

virtual

Object transformation.

MGSurfaceを実装しています。

MGPlane MGPlane::operator-

(

const MGVector &

v

)

const

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

virtual

MGSurfaceを実装しています。

bool MGPlane::operator<

(

const MGPlane &

gel2

)

const

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

virtual

MGSurfaceを実装しています。

MGPlane& MGPlane::operator=

(

const MGPlane &

gel2

)

Assignment. When the leaf object of this and srf2 are not equal, this assignment does nothing.

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

virtual

Assignment. When the leaf objects of this and gel2 are not equal, this assignment does nothing.

MGGelを再実装しています。

bool MGPlane::operator==

(

const MGPlane &

gel2

)

const

Comparison of two curves.

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

virtual

comparison

MGSurfaceを実装しています。

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

virtual

Output function. Output to ostream メンバデータを標準出力に出力する。

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

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

virtual

Output to IGES stream file(=PD190).

MGGelを再実装しています。

MGPosition MGPlane::param ( const MGPosition &  ) const

virtual

Return plane parameter value of a point on the plane. If input point is not on the plane, returned is the nearest point parameter of the plane.

MGSurfaceを再実装しています。

virtual double MGPlane::param_e_u ( ) const

inlinevirtual

Return ending parameter value.

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

virtual double MGPlane::param_e_v ( ) const

inlinevirtual

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

double MGPlane::param_error ( ) const

virtual

Obtain parameter space error.

MGSurfaceを再実装しています。

double MGPlane::param_error_u ( ) const

virtual

MGSurfaceを再実装しています。

double MGPlane::param_error_v ( ) const

virtual

MGSurfaceを再実装しています。

virtual MGBox MGPlane::param_range ( ) const

virtual

パラメータ範囲を返す。 Return parameter range of the plane(Infinite box).

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

virtual double MGPlane::param_s_u ( ) const

inlinevirtual

Return starting parameter value.

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

virtual double MGPlane::param_s_v ( ) const

inlinevirtual

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

virtual MGCurve* MGPlane::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。

MGPlaneImageで再実装されています。

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

virtual

Compute part of the surface limitted by the parameter range bx. bx(0) is the parameter (us,ue) and bx(1) is (vs,ve). That is u range is from us to ue , and so on.

引数

uvbox	This plane 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。

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

inlinevirtual

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

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

virtual int MGPlane::perimeter_num ( ) const

inlinevirtual

Return how many perimeters this surface has.

MGSurfaceを実装しています。

MGPlaneImageで再実装されています。

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

virtual

Construct perimeter (u,v) parameter position. i is perimeter number: =0: v=min line, =1: u=max line, =2: v=max line, =3: u=min line t is perimeter parameter line's parameter value of u or v.

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

int MGPlane::perp_point ( const MGPosition &  P, MGPosition &  uv, const MGPosition *  uvguess = NULL  ) const

virtual

与えられた点にもっとも近い面上の点を返却する。パラメ ータ値も返却する。 Return the nearest point of the plane from P. Function's return value is always true.

引数

P	与えられた点.
uv	Parameter value of the plane will be output.
uvguess	guess.

MGSurfaceを再実装しています。

MGPosition_list MGPlane::perps ( const MGPosition &  P ) const

virtual

Return all(actually one) foots of perpendicular straight lines from P.

引数

P	Point of a space(指定点).

MGSurfaceを再実装しています。

int MGPlane::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 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 MGPlane::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. For plane, planar always returns true.

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.

int MGPlane::project	(	const MGStraight &	sl,
		MGPvector< MGCurve > &	vec_crv_uv,
		MGPvector< MGCurve > &	vec_crv,
		const MGVector &	vec = mgNULL_VEC
	)		const

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

引数

sl	given curve.
vec_crv_uv	uv projection curve will be appended.
vec_crv	3d projection curve will be appended.
vec	projection vector, if vec = NULL then calculate perpendicular project.

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

virtual

与えられた曲線を自身に面直またはベクトル投影して曲線リストを求める。 投影曲線は3次元曲線としてvec_crvに格納される。 3次元曲線のtoleranceはline_zero()を使用している。 get perpendicular or vector projection curve list. 3d projection curves are put into vec_crv(line_zero() is used). 引数： const MGCurve& crv, (I/ ) given curve. MGPvector<MGCurve>& vec_crv, ( /O) 3d projection curve. const MGVector& vec=mgNULL_VEC (I/ ) projection vector. 戻り値： 投影曲線の数: 投影曲線が求まった 0: 投影曲線が求まらなかった -1: 内部処理エラー -2: 収束処理エラー（収束しなかった） 追記：引数vecが与えられない(null）とき、面直投影する。 Obtain the projected curve of a curve onto the surface. The direction of the projection is along the vector vec if the vec is not NULL, and normal to the surface if the vec is NULL. Output of 'project' is general world coordinate curves('vec_crv') Function's return value is: >=0: number of curves obtained, <0 : Some error detected.

引数

crv	given curve.
vec_crv	3d projection curve will be appended.
vec	projection vector, if vec = NULL then calculate perpendicular project.

MGFSurfaceを再実装しています。

MGPosition MGPlane::range ( const MGPosition &  uv ) const

inlinevirtual

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 uv into parameter range of the plane, return the same value as input.

MGSurfaceを再実装しています。

void MGPlane::ReadMembers ( MGIfstream &  buf )

protectedvirtual

メンバデータを読み込む関数

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

MGPSRELATION MGPlane::relation	(	const MGPlane &	,
		MGStraight &
	)		const

与えられた平面との関係を返す. Relation of two planes.

MGPSRELATION MGPlane::relation	(	const MGStraight &	,
		MGCSisect &
	)		const

与えられた直線との関係を返す。 Relation between plane and straight line.

const MGPosition& MGPlane::root_point ( ) const

inline

平面のパラメータ表現の起点を返却する。 Return root point of the plane.

int MGPlane::sdim ( ) const

virtual

Return the space dimension.

MGSurfaceを実装しています。

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

inlinevirtual

Shade the object in world coordinates.

引数

vbo	The target graphic object.
para	Parameter to draw.
target	target vbo element.

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

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

virtual

Obtain boundary and main parameter lines of the FSurface. skeleton includes boundary() and inner parameter lines. density indicates how many inner parameter lines are necessary for both u and v directions.

MGFSurfaceを再実装しています。

MGPlaneImageで再実装されています。

MGPvector<MGCurve> MGPlane::skeleton_at_knots ( ) const

virtual

Obtain all the parameter curves at knots of u and v knot vector.

MGFSurfaceを再実装しています。

void MGPlane::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.

MGSurfaceを再実装しています。

virtual MGSURFACE_TYPE MGPlane::type ( ) const

inlinevirtual

曲面タイプを返却する。 Return surface type of the plane.

MGSurfaceを実装しています。

const MGVector& MGPlane::u_deriv ( ) const

inline

平面のパラメータ表現のｕ方向を返却する。 Return u-direction vector of the plane.

MGPosition MGPlane::uv

(

const MGPosition &

p

)

const

点を平面に投影した点の平面のパラメータ表現(u,v)を求める。 Return uv parameter of the point projected from point p to the plane.

MGVector MGPlane::uv

(

const MGVector &

v

)

const

Vectorを平面に投影したVectorの平面のパラメータ表現(u,v)を求める。 Return uv parameter of the point projected from point p to the plane. p is the end of the vector v originated from the root_point().

const MGVector& MGPlane::v_deriv ( ) const

inline

平面のパラメータ表現のｖ方向を返却する。 Return v-direction vector of the plane.

std::string MGPlane::whoami ( ) const

inlinevirtual

MGSurfaceを再実装しています。

MGPlaneImageで再実装されています。

void MGPlane::WriteMembers ( MGOfstream &  buf ) const

protectedvirtual

メンバデータを書き込む関数

MGSurfaceを再実装しています。

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 MGPlane operator* ( double  scale, const MGPlane &  pl  )

friend

MG_DLL_DECLR friend MGPlane operator+ ( const MGVector &  v, const MGPlane &  pl  )

friend

メンバ詳解

MGPosition MGPlane::m_root_point

protected

A point on the plane, 平面のパラメータ表現の基点.

MGVector MGPlane::m_uderiv

protected

U direction vector, 平面のパラメータ表現のｕ方向.

MGVector MGPlane::m_vderiv

protected

V direction vector, 平面のパラメータ表現のｖ方向.

---

このクラス詳解は次のファイルから抽出されました:

• mg/Plane.h