MGFSurface is an abstract class to provide the comman interfaces to MGFace and MGSurface. [詳解]

MGFSurface の継承関係図

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

virtual void	arrow (double u, double v, MGPosition data[10]) const =0

virtual void	arrow (const MGPosition &uv, MGPosition data[10]) const =0

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

virtual const MGBox	box_param2 () const =0

virtual MGFSurface *	clone_fsurface () const =0
	Get the clone of this MGFSurface. [詳解]

virtual MGFace *	clone_as_face () const =0

virtual MGPosition	closest (const MGPosition &point) const =0

virtual MGPosition	closest_on_boundary (const MGStraight &sl) const =0

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

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

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

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]

virtual MGFace *	get_face_pointer ()=0
	get face pointer if this is MGFace, else null will be returned. [詳解]

virtual const MGFace *	get_face_pointer () const =0

virtual int	get_number_of_boundaries () const =0
	Get number of inner boundaries as the output of the function. [詳解]

virtual MGSurface *	get_surface_pointer ()=0

virtual const MGSurface *	get_surface_pointer () const =0

virtual bool	has_commonFS (const MGObject &obj2) const =0

bool	hasInnerBoundaryLoop () const

virtual bool	hasLoop (const MGBox &uvbox) const

virtual MGPvector< MGCurve >	inner_boundary (int i) const =0

virtual MGPvector< MGCurve >	inner_boundary_param (int i) const =0

virtual bool	in_range (double u, double v) const =0
	Test if parameter value (u,v) is in the range of the FSurface parameter. [詳解]

virtual bool	in_range (const MGPosition &uv) const =0

int	in_range_with_on (double u, double v) const

virtual int	in_range_with_on (const MGPosition &uv) const =0

virtual MGHHisect_vector	isect (const MGShell &shell2) const =0
	Intersection. [詳解]

virtual MGSSisect_list	isect (const MGFSurface &fsurf) const =0

virtual MGSSisect_list	isect (const MGFace &fsurf) const =0

virtual MGSSisect_list	isect (const MGSurface &fsurf) const =0

virtual MGCSisect_list	isect (const MGCurve &curv) const =0

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 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 MGFace *	make_face ()=0

virtual void	negateFS ()=0
	Negate the FSurface. [詳解]

virtual MGVector	normal (const MGPosition &uv) const =0
	Compute normal vector(not unit) at uv. [詳解]

virtual MGVector	normal (double u, double v) const =0
	Compute normal vector(not unit) at (u,v). [詳解]

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

virtual const MGObject *	object_pointer () const =0
	Get the object point of this MGFSurface. [詳解]

virtual MGObject *	object_pointer ()=0

virtual int	offset_fs (double distance, MGPvector< MGFSurface > &vecOfsFSurface) const =0

virtual bool	on (const MGPosition &P, MGPosition &uv) const =0

virtual bool	on_a_perimeter (double &u, double &v, int &perim_num) const =0

virtual std::ostream &	outFS (std::ostream &ostrm) const =0
	Output virtual function. [詳解]

virtual MGPvector< MGCurve >	outer_boundary () const =0

virtual MGPvector< MGCurve >	outer_boundary_param () const =0

virtual MGPosition	param (const MGPosition &P) const =0
	Obtain parameter value of the FSurface whose world coordinates are P. [詳解]

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

virtual double	param_e_v () const =0

virtual double	param_s_u () const =0
	Return starting parameter value of the base surface. [詳解]

virtual double	param_s_v () const =0

virtual MGPvector< MGCurve >	parameter_curves (int is_u, double x) const =0

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

double	param_error_u () const

double	param_error_v () const

virtual MGPosition	param_mid () const

virtual MGBox	param_range () const =0

virtual bool	perp_guess (const MGPosition &P, const MGPosition &uvguess, MGPosition &uv) const =0

virtual bool	perp_guess (const MGCurve &curve, const MGPosition &uvguess, double tguess, MGPosition &uv, double &t) const =0

virtual int	perp_point (const MGPosition &p, MGPosition &uv, const MGPosition *uvguess=0) const =0

virtual MGPosition_list	perps (const MGPosition &P) const =0

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

virtual int	get_proj_divnum (const MGCurve &crv) const =0

virtual MGPosition	range (const MGPosition &uv) const =0

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]

virtual void	split (double param, bool is_u, MGPvector< MGFSurface > &surfaces) const =0
	split this fsurface at the parameter param. [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]

virtual void	triangulate (const MGDrawParam &para, MGCL::TL_DATA_KIND dkind, std::vector< mgTL2Triangles > &trisVec) const =0
	Triangulate this object(MGShell, MGFace, or MGSurface is the target). [詳解]

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

virtual MGUnit_vector	unit_normal (const MGPosition &uv) const =0
	Compute unit normal vector at uv. [詳解]

virtual MGUnit_vector	unit_normal (double u, double v) const =0
	Compute unit normal vector at (u,v). [詳解]

限定公開メンバ関数
virtual int	coef_sdim () const =0

virtual int	isect_area_length () const =0

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

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

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

double	isect_dt_coef (int n) 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

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]

詳解

MGFSurface is an abstract class to provide the comman interfaces to MGFace and MGSurface.

構築子と解体子

MGFSurface::MGFSurface ( )

inline

Null FSurface.

MGFSurface::MGFSurface ( const MGFSurface & fsurf )

inline

Copy constructor.

virtual MGFSurface::~MGFSurface ( )

inlinevirtual

関数詳解

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

pure virtual

Generate arrow data of the tangent along u and v and the normal at the parameter value (u,v) of the FSurface. 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.

MGFace, MGSurfaceで実装されています。

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

pure virtual

MGFace, MGSurfaceで実装されています。

virtual const MGBox MGFSurface::box_param2 ( ) const

pure virtual

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

MGFace, MGSurfaceで実装されています。

virtual MGFace* MGFSurface::clone_as_face ( ) const

pure virtual

Get the clone of this as a MGFace. If this is MGSurface, it is converted to MGFace.

MGFace, MGSurfaceで実装されています。

virtual MGFSurface* MGFSurface::clone_fsurface ( ) const

pure virtual

Get the clone of this MGFSurface.

MGFace, MGSurfaceで実装されています。

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

pure virtual

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

引数

point the target point.

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

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

pure virtual

Compute closest point from a line to the boundary of the MGFSurface. Returned is the parameter value of the FSurface that is closest to sl.

引数

sl	The target line.

MGFace, MGSurfaceで実装されています。

virtual int MGFSurface::coef_sdim ( ) const

protectedpure virtual

Obtain coefficient's space dimension. This function is used in isect_start etc.

MGSurfaceで実装されています。

void MGFSurface::display_arrowsFS	(	mgSysGL &	sgl,
		int	udiv = `4`,
		int	vdiv = `4`
	)		const

Display arrows on the surface.

void MGFSurface::drawWireFS	(	mgVBO &	vbo,
		double	span_length,
		int	line_density = `1`
	)		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.

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

引数

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

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

pure virtual

Evaluation Input parameter value is not checked if it is in_range() or not. Even if it is not in_range(), surFSurface evaluation will be executed.

引数

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

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

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

pure virtual

引数

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

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

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

Evaluate deviations of two faces(this and face2) at npoint discrete points. (1)Search the common edges which have the distance within tolerance. (2)Compute the nearest points from npoint discrete points of this to face2. Let uvuvi=uvuvs[i], then uvuvi[0], [1] are this face's parameter value(u1,v1), and uvuvi[2], [3] are parameter value(u2,v2) of face2 which is the nearest point from the point (u1, v1).

引数

face2	The target 2nd surface.
uvuvs	the nearest points pairs are set.
npoint	indicates how many discrete points be obtained.
tolerance	tolerance to get two edge to compute deviation.

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

Extract a sub surface with trimmers. trimmers are 3D curves and will be projected onto this surface tword the direction dir. If dir is null vector, surface normal prjection will be performed. Extraction is so performed that the smallest region enclosed by trimmers that includes the surface point uv will be extracted.

引数

trimmers	Trimmer curves
dir	trimmers projection direction.
uv	surface parameter (u,v) that indicates the region to extract. The smallest region that inclued uv will be extracted.
eface	Result extracted face will be output.

MGPvector<MGCurve> MGFSurface::get_all_boundaries ( void ) const

Obtain all the boundaries(i.e., outer boundary and all the inner boundaries)

const MGBox& MGFSurface::get_box ( ) const

Get the box of the object.

virtual MGFace* MGFSurface::get_face_pointer ( )

pure virtual

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

MGSurface, MGFaceで実装されています。

virtual const MGFace* MGFSurface::get_face_pointer ( ) const

pure virtual

MGSurface, MGFaceで実装されています。

virtual int MGFSurface::get_number_of_boundaries ( ) const

pure virtual

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

MGSurface, MGFaceで実装されています。

virtual int MGFSurface::get_proj_divnum ( const MGCurve & crv ) const

pure virtual

Define curve division number when a curve crv be projected onto this MGFSurface. The result is used in prj2GetParamRange().

virtual MGSurface* MGFSurface::get_surface_pointer ( )

pure virtual

get surface pointer. Null will never be returned if this is valid MGFSurface. That is, if this is MGFace, base surface will be returned.

MGSurface, MGFaceで実装されています。

virtual const MGSurface* MGFSurface::get_surface_pointer ( ) const

pure virtual

MGSurface, MGFaceで実装されています。

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

pure virtual

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

MGSurface, MGFaceで実装されています。

bool MGFSurface::hasInnerBoundaryLoop ( ) const

inline

Test if this FSurface has inner boundary loops or not. If this has one, return true.

virtual bool MGFSurface::hasLoop ( const MGBox & uvbox ) const

inlinevirtual

Test if this FSurface has boundary loops or not in the specified box. If this has one, return true.

MGFaceで再実装されています。

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

pure virtual

Test if parameter value (u,v) is in the range of the FSurface parameter.

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

virtual bool MGFSurface::in_range ( const MGPosition & uv ) const

pure virtual

MGSBRep, MGSurface, MGRSBRep, MGFace, MGPlane, MGCylinderで実装されています。

int MGFSurface::in_range_with_on	(	double	u,
		double	v
	)		const

inline

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.

virtual int MGFSurface::in_range_with_on ( const MGPosition & uv ) const

pure virtual

MGSurface, MGFaceで実装されています。

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

pure 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().

MGSurface, MGFaceで実装されています。

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

pure 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().

MGSurface, MGFaceで実装されています。

MGPvector<MGCurve> MGFSurface::inner_skeleton ( int density ) const

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

Compute all the intersection points of this face's boundaries(out or inner) with face2, and vice versa. These intersection points are used to compute surface to surface intersection lines.

引数

face2	The second surface.
uvuv_list	The intersection points will be output, 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.

virtual MGHHisect_vector MGFSurface::isect ( const MGShell & shell2 ) const

pure virtual

Intersection.

MGSurface, MGFaceで実装されています。

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

pure virtual

MGSurface, MGFaceで実装されています。

virtual MGSSisect_list MGFSurface::isect ( const MGFace & fsurf ) const

pure virtual

MGSurface, MGFaceで実装されています。

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

pure virtual

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

virtual MGCSisect_list MGFSurface::isect ( const MGCurve & curv ) const

pure virtual

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

virtual int MGFSurface::isect_area_length ( ) const

protectedpure virtual

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

MGSurfaceで実装されています。

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

pure virtual

Compute intersection points of this face's boundary(outer and inners) with face2. If intersection points are found and the boundary is a loop, the point's edge pointer(of this) will be stored in a member uvuv of uvuvs. uvuv[7] is the edge pointer. If the boundary is not a loop(that is, a perimeter of Surfaces), uvuv.sdim()==7 and an edge pointer is not returned. When uvuv.sdim()==8, the edge pointer of uvuv[7] is accessed through union mgEdgeP. uvuvs[i] is i-th intersection points.

引数

face2	The target 2nd face.
uvuvs	id1 and id2 are the ids of uvuv where this face's and f2's parameters are to be stored in a member of uvuvs. This face's (u,v) is stored in uvuv(id1) and (id1+1). f2's (u,v) is stored in uvuv(id2) and (id2+1). id2=0 if id1=2, and id2=2 if id1=0.
id1	id indicator of uvuvs as above.

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

protectedvirtual

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.

MGSurfaceで再実装されています。

int MGFSurface::isect_direction_with_direction	(	double	u,
		double	v,
		const MGVector &	tangent,
		double &	du,
		double &	dv
	)		const

protected

isect_direction_with_direction() is used by isect_start() to define which constant parameter line should be use to compute intersection, and what incremental value be used for the parameter. Function's return value isect_direction() is 1 for u=const parameter line, and 0 for v=const parameter line.

引数

u	start parameter u of (u,v) of this surface.
v	start parameter v of (u,v) of this surface.
tangent	To indicate which direction isect line should march toward.
du	Incremental value sign of the parameter kind of
dv	isect_direction_with_direction.

int MGFSurface::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.

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

protected

isect_dt computes incremental values du and dv for the intersection computation at parameter position (u,v).

引数

u	Surface parameter u of (u,v).
v	v of (u,v).
du	u incremental value is output.
dv	v incremental value is output.
acuRatio	acuracy ratio.

double MGFSurface::isect_dt_coef ( int n ) const

protected

isect_dt_coef provides coef of how fine parameter increment should be, given num of intersection points computed so far.

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

virtual

"isect_guess" computes one intersection point of surface and a curve, given initail guess parameter values of surface and curve. Function's return value is 1(true) if i.p. obtained, and 0(false) if not.

引数

crv	Curve.
uvi	Input initial guess parameter value of the i.p. of the surface.
ti	Input initial guess parameter value of the line.
uv	Output parameter value obtained.
t	Output parameter value obtained.

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

inlinevirtual

"isect_guess" computes one intersection point of surface and a curve, given initail guess parameter values of surface and curve. Function's return value is 1(true) if i.p. obtained, and 0(false) if not.

引数

sl	Curve.
uvi	Input initial guess parameter value of the i.p. of the surface.
ti	Input initial guess parameter value of the line.
uv	Output parameter value obtained.
t	Output parameter value obtained.

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

inlinevirtual

"isect_guess" computes one intersection point of surface and a curve, given initail guess parameter values of surface and curve. Function's return value is 1(true) if i.p. obtained, and 0(false) if not.

引数

crv	Curve
uvi	Input initial guess parameter value of the i.p. of the surface.
ti	Input initial guess parameter value of the line.
uv	Output parameter value obtained.
t	Output parameter value obtained.

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

virtual

"isect_guess" computes one intersection point of surface and a curve, given initail guess parameter values of surface and curve. Function's return value is 1(true) if i.p. obtained, and 0(false) if not.

引数

crv	Curve
uvi	Input initial guess parameter value of the i.p. of the surface.
ti	Input initial guess parameter value of the line.
uv	Output parameter value obtained.
t	Output parameter value obtained.

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

virtual

"isect_guess_straight" computes one intersection point of surface and a straight line, given initail guess parameter values of the surface and the straight line. Function's return value is 1(true) if i.p. obtained, and 0(false) if not.

引数

sl	Straight line.
ti	Initial guess parameter value of the straight.
uvi	Input initial guess parameter value of the i.p. of the surface.
t	Straight parameter obtained.
uv	Surface parameter value obtained(u,v).

virtual MGCurve* MGFSurface::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 u parameter length.
dv	Incremental v parameter length.
u	next u value will be output
v	next v value will be output
incr	Incremental valuse of B-coef's id.

MGSurfaceで実装されています。

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

pure virtual

Compute intersection points between the boundary of iid-th inner boundary of this face and face2 to compute intersections of face with face2. Function's return value is the number of ip's obtained before appending into uvuv_list, may not be equal to the enlarged size of uvuv_list.

引数

face2	2nd surface
iid	Inner loop id of this face(from 0)
uvuv_list	intersection points will be appended, One member in the list is of sdim 8, (4,5,6) is the direction vector, and (7) is Edge pointer of the point.
id1	id of uvuv(a member of uvuv_list), uvuv(id1) for this face parameter uvuv(id2) for face2 parameter, id2=0 if id1=2, and id2=2 if id1=0.

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

protectedvirtual

"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	Input u incremental value,
dv	incremental length from previous to uvnow is input. New du or dv will be output according to kdt's return value.
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.

MGSurfaceで再実装されています。

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

pure virtual

Compute intersection points of outer boundary curves of this face with face2 to compute intersections. Function's return value is the number of ip's obtained(appended) into uvuv_list, may not be equal to the enlarged size of uvuv_list.

引数

face2	2nd surface
uvuv_list	intersection points will be appended, One member in the list is of sdim 7, and the last three elements are the ip direction vector.
id1	id of uvuv(a member of uvuv_list), uvuv(id1) for this face parameter uvuv(id2) for srf or face2 parameter, id2=0 if id1=2, and id2=2 if id1=0.

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

protected

isect_start compute one intersection line of two surfaces, this and sf2, given starting intersetion point uvuv((u1,v1) of this and (u2,v2) of sf2) and direction(stan). isect_start 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. =4: End point is the starting point. =7: isect_start halted the computation since intersection was lost during the computation.

引数

uvuv_startIn	Starting point of the intersection line.
uvuv_list	isect_start will halt when ip reached one of the point in uvuv_list. isect_start 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, uvuv_list's iterator of the point will be returned, that is, when the function's return value was 3 or 5. When was not a point of uvuv_list, end() of uvuv_list will be returned.
m1	id that indicates which surface was used as the main surface. m1=0: this surface, m1=2: sf2.

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

protected

"isect_start_boundary" is a dedicated function of isect_start. "isect_start_boundary" computes one intersection point of two surfaces, this surface's parameter line at uv+dt(according to kdt) and sb2, given previous intersetion point(uv) and incremental value dt. "isect_start_boundary" is used only when no intersection found at dt. Function's return value is 0: ip not found. 2: ip found as intersection line end point.

引数

sf2	2nd surface b-rep.
uvuv_pre	Starting parameter values of ip.
kdt	kdt=true: u=const parameter line, else: v=const parameter line of this surface.
du	Incremental u parameter length.
dv	Incremental v parameter length.
lid1	id of parameter of this surface in uvuv_pre or uvuv_now.
uvuv_now	New parameter values of ip will be output.

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

protected

Compute the maximum difference between the intersection line and the two surfaces, this and sr2. The difference evaluation is done at the data point tau.

引数

tau	data points
line	the intersection line of this and sf2.
sf2	second surface.

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

protected

isect_start_incr compute one intersection point of two surfaces, this surface's parameter line at uv1+dt(according to kdt) and sf2, given previous intersetion point(uv1,uv2) and incremental value dt. Here uv1 is uvuv_pre(lid1, lid1+1), and uv2 is other two values of uvuvpre. isect_start_incr is a dedicated function of isect_start and isect_start_boundary. Function's return value is true: if ip found, false: if ip not found.

引数

sf2	2nd surface b-rep.
uvuv_pre	Starting parameter values of ip.
kdt	kdt=true: u=const parameter line, else: v=const parameter line of this surface.
du	Incremental u parameter length.
dv	Incremental v parameter length.
lid1	id of parameter of this surface in uvuv_pre or uvuv_now.
uvuv_now	New parameter values of ip will be output.

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

protected

Compute an intersection line of this surface(a surface that is converted to 1D SBRep surface(sf1d)) and a plane pl. sf1D is so converted that pl be x=0. plane. This surface is the original surface and pl is the original plane. 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. =4: End point is the starting point. =7: isect_start halted the computation since intersection was lost during the computation.

引数

uvuvS	Starting parameter value of the intersection.
uvuv_list	isect_startPlane will halt when ip reached one of the point in uvuv_list. isect_startPlane 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 pl. When uvuv's space dimension is more than 4, it indicates that the uvuv is used to input approcimate tangent of the intersection.
pl	Plane expression(2nd surface for the intersection).
ssi	Surface-surface intersection line will be output.
uvuv_id	When the end point of ip was one of the points of uvuv_list, uvuv_list's iterator of the point will be returned, that is, when the function's return value was 3 or 5. When was not a point of uvuv_list, end() of uvuv_list will be returned.

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

protected

isect_startPlanePt compute an array of parameter value pairs of this surf and pl2 for one intersection line of a surface and a plane, given starting intersetion point uvuv((u1,v1) of this and (u2,v2) of pl2) and direction in uvuv_startI(4-6) (optionally). isect_startPlanePt is a dedicated function for isect_startPlane. isect_startPlanePt halts the computation when intersection reached to a boundary of this, 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 this surfaces. =3: End point is one of boundary points in uvuv_list. =4: End point is the starting point. =7: isect_startPlanePt halted the computation since intersection was lost during the computation.

引数

uvuv_startIn	Starting point of the intersection line.
uvuv_list	isect_startPlanePt will halt when ip reached one of the point in uvuv_list. isect_startPlanePt 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 pl2.
pl2	2nd surface(MGPlane).
acuRatio	Accurate ratio, should be decreased by multiplyng .2 (or a number less than 1.).
point	Surface-surface intersection parameter values will be returned as:point(.,0) and point(.,1) for(u,v) of this surface point(.,2) and point(.,3) for(u,v) of pl2. point will have the dimension of(.,7).
uvuv_id	When the end point of ip was one of the points of uvuv_list, uvuv_list's iterator of the point will be returned, that is, when the function's return value was 3. When was not a point of uvuv_list, end() of uvuv_list will be returned.

int MGFSurface::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

protected

isect_startPt compute an array of parameter value pairs of this surf and sf2 for one intersection line of the two surfaces, given starting intersetion point uvuv((u1,v1) of this and (u2,v2) of sf2) and direction(stan). isect_startPt is a dedicated function for isect_start. isect_startPt 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. =4: End point is the starting point. =7: isect_start halted the computation since intersection was lost during the computation.

引数

uvuv_startIn	Starting point of the intersection line.
uvuv_list	isect_startPt will halt when ip reached one of the point in uvuv_list. isect_startPt 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.
acuRatio	Accurate ratio, should be decreased by multiplyng .2 (or a number less than 1.).
point	Surface-surface intersection parameter values will be returned as:point(.,0) and point(.,1) for(u,v) of this surface point(.,2) and point(.,3) for(u,v) of this surface. point has the dimension of(.,7).
uvuv_id	When the end point of ip was one of the points of uvuv_list, uvuv_list's iterator of the point will be returned, that is, when the function's return value was 3 or 5, When was not a point of uvuv_list, end() of uvuv_list will be returned.
m1	id that indicates which surface was used as the main surface, m1=0: this surface, m1=2: sf2.

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

protected

Compute the intersection lines of this(is not a plane) surface and a plane pl. sd1D that is converted to surf1D() about pl is necessary to input.

引数

uvuv_list	Let a member of uvuv_list be uvuv. Then, 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 pl. When uvuv's space dimension is more than 4, it indicates that the uvuv is used to input approximate tangent of the intersection.
pl	Plane expression(2nd surface for the intersection).
fsrf2	Original FSurface before casting to plane.

MGSSisect_list MGFSurface::isect_with_surf	(	MGPosition_list &	uvuv_list,
		const MGFSurface &	srf2
	)		const

protected

Compute the intersection lines of this surface and srf2(both are not planes).

引数

uvuv_list	Let a member of uvuv_list be uvuv. Then, 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 srf2. When uvuv's space dimension is more than 4, it indicates that the uvuv is used to input approximate tangent of the intersection.
srf2	2nd surface for the intersection.

virtual double MGFSurface::knot_u ( int i ) const

inlinevirtual

Access to i-th element of u knot.

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

virtual double MGFSurface::knot_v ( int i ) const

inlinevirtual

Access to i-th element of v knot.

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

virtual const MGKnotVector& MGFSurface::knot_vector_u ( ) const

pure virtual

Returns the u knot vector.

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

virtual MGKnotVector& MGFSurface::knot_vector_u ( )

pure virtual

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

virtual const MGKnotVector& MGFSurface::knot_vector_v ( ) const

pure virtual

Returns the v knot vector.

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

virtual MGKnotVector& MGFSurface::knot_vector_v ( )

pure virtual

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

virtual MGFace* MGFSurface::make_face ( )

pure virtual

This must be a newed MGFace or MGSurface object. If this is a MGFace, returns this pointer. If this is a MGSurface, construct a newed MGFace using this newed MGSurface, and returns the MGFace*.

MGFaceで実装されています。

virtual void MGFSurface::negateFS ( )

pure virtual

Negate the FSurface.

MGSurface, MGFaceで実装されています。

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

pure virtual

Compute normal vector(not unit) at uv.

MGSurface, MGFace, MGPlaneで実装されています。

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

pure virtual

Compute normal vector(not unit) at (u,v).

MGSurface, MGFace, MGPlaneで実装されています。

virtual int MGFSurface::number_of_inner_boundaries ( ) const

inlinevirtual

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

MGFaceで再実装されています。

virtual const MGObject* MGFSurface::object_pointer ( ) const

pure virtual

Get the object point of this MGFSurface.

MGSurface, MGFaceで実装されています。

virtual MGObject* MGFSurface::object_pointer ( )

pure virtual

MGSurface, MGFaceで実装されています。

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

pure 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

MGSurface, MGFaceで実装されています。

virtual bool MGFSurface::on	(	const MGPosition &	P,
		MGPosition &	uv
	)		const

pure virtual

Test if a point P is on the FSurface. Returned is true if the point P is on the FSurface. false(0) if P was not on the FSurface.

引数

P	The target point.
uv	Parameter value of the FSurface is returrned, Even if P is not on the FSurface, nearest point parameter value will be returned.

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

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

pure virtual

Test if input (u,v) is parameter value on a perimeter of the base surface. If u or v is on a perimeter, they 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 is output.

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

bool MGFSurface::operator< ( const MGFSurface & f2 ) const

Comparison operator.

bool MGFSurface::operator> ( const MGFSurface & f2 ) const

inline

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

pure 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.

MGSurface, MGFaceで実装されています。

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

pure 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.

MGSurface, MGFaceで実装されています。

virtual std::ostream& MGFSurface::outFS ( std::ostream & ostrm ) const

pure virtual

Output virtual function.

MGSurface, MGFaceで実装されています。

virtual MGPosition MGFSurface::param ( const MGPosition & P ) const

pure virtual

Obtain parameter value of the FSurface whose world coordinates are P.

MGSurface, MGFace, MGPlaneで実装されています。

virtual double MGFSurface::param_e_u ( ) const

pure virtual

Return ending parameter value.

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

virtual double MGFSurface::param_e_v ( ) const

pure virtual

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

double MGFSurface::param_error ( ) const

Obtain parameter space error.

double MGFSurface::param_error_u ( ) const

double MGFSurface::param_error_v ( ) const

virtual MGPosition MGFSurface::param_mid ( ) const

virtual

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.

MGSurfaceで再実装されています。

virtual MGBox MGFSurface::param_range ( ) const

pure virtual

パラメータ範囲を返す。 Return parameter range.

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

virtual double MGFSurface::param_s_u ( ) const

pure virtual

Return starting parameter value of the base surface.

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

virtual double MGFSurface::param_s_v ( ) const

pure virtual

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

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

pure virtual

Obtain parameter curves. In the case of MGSurface, parameter curve is only one. However, in the case of MGFace, 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.

MGSurface, MGFaceで実装されています。

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

pure 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.

MGSurface, MGFaceで実装されています。

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

pure virtual

Compute perpendicular points of a curve and the FSurface, 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
t	will be output.

MGSurface, MGFaceで実装されています。

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

virtual

指定点から最も近い、垂線の足とパラメータ値を返す。 Return the foot of the perpendicular straight line from p that is nearest to point P. Function's return value is whether point is obtained(>0) or not(0)

引数

P	指定点(point)
uv	Parameter value of the FSurface will be returned.

virtual int MGFSurface::perp_point	(	const MGPosition &	p,
		MGPosition &	uv,
		const MGPosition *	uvguess = `0`
	)		const

pure virtual

指定点から最も近い、垂線の足とパラメータ値を返す。 Return the foot of the perpendicular straight line from p that is nearest to point p. Function's return value is whether point is obtained(1) or not(0)

引数

p	指定点(point)
uv	Parameter value of the surFSurface will be returned.
uvguess	guess parameter value of surFSurface

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

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

pure virtual

Compute perpendicular points on the FSurface from a point P((x,y,z)). MGPosition uv in the MGPosition_list is: uv(0): u parameter, and uv(1): v parameter of the FSurface. Generally number of uv are more than one.

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

virtual int MGFSurface::project	(	const MGCurve &	crv,
		MGPvector< MGCurve > &	vec_crv_uv,
		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。引数vecが与えられないとき、面直投影する。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。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） Obtain the projected curve of a curve onto the FSurface. The direction of the projection is along the vector vec if the vec is not NULL, and normal to the FSurface 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 FSurface(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

crv	given curve.
vec_crv_uv	Projected curve(surface parameter (u,v) representation) will be appended.
vec_crv	Projected curve(world coordinate(x,y,z) representation) will be appended.
vec	projection vector, if vec = NULL then calculate perpendicular project.

virtual int MGFSurface::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。引数vecが与えられないとき、面直投影する。投影曲線は3次元曲線としてvec_crvに格納される。 uv曲線のトレランスはline_zero()を使用している。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） Obtain the projected curve of a curve onto the FSurface. The direction of the projection is along the vector vec if the vec is not NULL, and normal to the FSurface 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	Projected curve(world coordinate(x,y,z) representation) will be appended.
vec	if vec = NULL then calculate perpendicular project.

MGPlaneで再実装されています。

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

protected

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

protected

int MGFSurface::projNormal	(	const MGCurve &	crv,
		MGPvector< MGCurve > &	vec_crv_uv,
		MGPvector< MGCurve > &	vec_crv
	)		const

protected

カーブを折れで分割して行い、後で接続する

int MGFSurface::projVector	(	const MGCurve &	crv,
		MGPvector< MGCurve > &	vec_crv_uv,
		MGPvector< MGCurve > &	vec_crv,
		const MGVector &	vec
	)		const

protected

カーブを折れで分割して行い、後で接続する

virtual MGPosition MGFSurface::range ( const MGPosition & uv ) const

pure virtual

Round the input parameter (u,v) of the FSurface to the nearest point of the FSurface parameter range.

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

void MGFSurface::shadeFS	(	mgVBO &	vbo,
		const MGDrawParam &	para,
		mgVBO::ELEMENT_TARGET	target = `mgVBO::SHADING`
	)		const

Shade the object in world coordinates.

virtual MGPvector<MGCurve> MGFSurface::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.

MGPlane, MGPlaneImageで再実装されています。

virtual MGPvector<MGCurve> MGFSurface::skeleton_at_knots ( ) const

virtual

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

MGPlaneで再実装されています。

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

pure 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, MGFace, MGPlaneで実装されています。

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

split this fsurface with splitters. splitters are 3D (x,y,z) curves that may not lie on the surface.

void MGFSurface::split	(	const MGPvector< MGCurve > &	splitters,
		MGPvector< MGFace > &	faces
	)		const

split this fsurface with splitters. splitters are 2D (u,v) surfaces's parameter curves.

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

pure virtual

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

MGSurface, MGFaceで実装されています。

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

Trim this fsurface with trimmers. trimmers are 3D curves and will be projected onto this surface tword the direction dir. If dir is null vector, surface normal prjection will be performed. Trimming is so performed that the smallest region enclosed by trimmers that includes the surface point uv will be removed.

引数

trimmers	Trimmer curves
dir	trimmers projection direction.
uv	surface parameter (u,v) that indicates the region to remove, The smallest region that inclued uv will be removed.
faces	Result trimmed face(s) will be appended, If no trimming was performed, no faces will be appended.

virtual MGUnit_vector MGFSurface::unit_normal ( const MGPosition & uv ) const

pure virtual

Compute unit normal vector at uv.

MGSurface, MGFaceで実装されています。

virtual MGUnit_vector MGFSurface::unit_normal	(	double	u,
		double	v
	)		const

pure virtual

Compute unit normal vector at (u,v).

MGSurface, MGFaceで実装されています。

このクラス詳解は次のファイルから抽出されました:

mg/FSurface.h

公開メンバ関数

限定公開メンバ関数

詳解

構築子と解体子

関数詳解