nurbs.h File Reference

Ayam NURBS API. More...

Functions
int	ay_act_leastSquares (double Q, int m, int n, int p, int kt, double U, double *P)
	Do a least squares approximation for a curve.
int	ay_act_leastSquaresClosed (double Q, int m, int n, int p, int kt, double U, double *P)
	Do a least squares approximation for a closed curve.
void	ay_act_multmatrixmn (int m, int n, double M1, double M2, double *R)
	Multiply two matrices.
int	ay_act_solve (int m, int n, int stride, double A, double B, double *X)
	Solve A*X=B.
int	ay_act_resize (ay_acurve_object *curve, int new_length)
	Resize a approximating curve.
int	ay_act_revert (ay_acurve_object *curve)
	Revert a approximating curve.
int	ay_act_getpntfromindex (ay_acurve_object curve, int index, double *p)
	Get point from approximating curve.
int	ay_act_approxtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to approximate selected NURBS curves.
int	ay_act_solveaxbtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to solve a linear equation system.
double	ay_apt_round (double d)
	round double similar to C99
int	ay_apt_getpntfromindex (ay_apatch_object patch, int indexu, int indexv, double *p)
	Get point from approximating patch.
int	ay_apt_swapuv (ay_apatch_object *ap)
	Flip UV of approximating patch.
void	ay_apt_revertu (ay_apatch_object *ap)
	Revert approximating patch in U direction.
void	ay_apt_revertv (ay_apatch_object *ap)
	Revert approximating patch in V direction.
int	ay_apt_approximateuv (double cv, int width, int height, int awidth, int aheight, int uorder, int vorder, int uknottype, int vknottype, int closeu, int closev, ay_nurbpatch_object *np)
	Approximate a 2D array of data points first in U then in V.
int	ay_apt_approximatevu (double cv, int width, int height, int awidth, int aheight, int uorder, int vorder, int uknottype, int vknottype, int closeu, int closev, ay_nurbpatch_object *np)
	Approximate a 2D array of data points first in V then in U.
int	ay_apt_approximateu (double cv, int width, int height, int awidth, int uorder, int vorder, int uknottype, int vknottype, int closeu, int closev, ay_nurbpatch_object *np)
	Approximate a 2D array of data points in U.
int	ay_apt_approximatev (double cv, int width, int height, int aheight, int uorder, int vorder, int uknottype, int vknottype, int closeu, int closev, ay_nurbpatch_object *np)
	Approximate a 2D array of data points in V.
int	ay_apt_approxtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to approximate selected NURBS surfaces.
void	ay_bevelt_parsetags (ay_tag tag, ay_bparam params)
	Parse BP (BevelParameter) tags.
int	ay_bevelt_addbevels (ay_bparam bparams, ay_cparam cparams, ay_object o, ay_object *dst)
	Add bevels to a surface object.
int	ay_bevelt_createc (double radius, ay_object o1, ay_object o2, ay_nurbpatch_object **bevel)
	Create bevel surface from cross section bevel curve.
int	ay_bevelt_createc3d (double radius, int revert, ay_object o1, ay_object o2, double n, int nstride, double t, int tstride, ay_nurbpatch_object **bevel)
	Create bevel surface from 3D curve and cross section bevel curve.
int	ay_bevelt_createroundtocap (double radius, int revert, ay_object o1, double t, int tstride, ay_nurbpatch_object **bevel)
	Create bevel surface from 3D curve that rounds to the cap.
int	ay_bevelt_createroundtonormal (double radius, int revert, ay_object o1, double nt, int nstride, double ta, int tstride, double mn, ay_nurbpatch_object **bevel)
	Create bevel surface from 3D curve that rounds to the mean normal.
int	ay_bevelt_findbevelcurve (int index, ay_object **c)
	Find cross section bevel curve.
int	ay_bevelt_createconcat (int side, ay_object o, ay_object c, ay_object **bevel)
	Create bevel by surface concatenations fillet creation.
int	ay_capt_addcaps (ay_cparam cparams, ay_bparam bparams, ay_object o, ay_object *dst)
	Create all caps for a surface.
int	ay_capt_crtsimplecap (ay_object c, int mode, double frac, double mp, ay_object **cap)
	Create simple cap from (convex) curve.
int	ay_capt_integrate (ay_object c, int side, int knottype, ay_object s)
	Integrate cap into the progenitor surface.
int	ay_capt_crttrimcap (ay_object c, ay_object *cap)
	Create trim cap from (planar) curve(s).
int	ay_capt_crtgordoncap (ay_object c, ay_object *cap)
	Create gordon cap from non planar curve.
void	ay_capt_parsetags (ay_tag tag, ay_cparam params)
	Parse CP (CapParameter) tags.
void	ay_capt_createtags (ay_object o, int caps)
	Create CP (CapParameter) tags.
int	ay_capt_capnurbpatch (ay_nurbpatch_object np, int side, double mpp)
	Cap a NURBS surface.
int	ay_capt_capstcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to cap a surface.
int	ay_ict_interpolateC2C (int length, double sdlen, double edlen, int param_type, int have_end_derivs, double sderiv, double ederiv, double controlv, ay_nurbcurve_object *c)
	Do a global C2 cubic interpolation.
int	ay_ict_interpolateC2CClosed (int length, double sdlen, double edlen, int param_type, int have_end_derivs, double sderiv, double ederiv, double controlv, ay_nurbcurve_object *c)
	Do a global C2 cubic interpolation for a closed curve.
int	ay_ict_interpolateG3D (int iorder, int length, double sdlen, double edlen, int have_end_derivs, int param_type, double controlv, double sderiv, double ederiv, ay_nurbcurve_object *c)
	Do a global 3D interpolation.
int	ay_ict_interpolateG3DClosed (int iorder, int length, double sdlen, double edlen, int have_end_derivs, int param_type, double controlv, double sderiv, double ederiv, ay_nurbcurve_object *c)
	Do a global 3D interpolation for a closed curve.
int	ay_ict_resize (ay_icurve_object *curve, int new_length)
	Resize a interpolating curve.
int	ay_ict_revert (ay_icurve_object *curve)
	Revert a interpolating curve.
int	ay_ict_getpntfromindex (ay_icurve_object curve, int index, double *p)
	Get point from a interpolating curve.
int	ay_ict_interptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to interpolate selected NURBS curves.
int	ay_ipt_getpntfromindex (ay_ipatch_object patch, int indexu, int indexv, double *p)
	Get control point from index.
int	ay_ipt_swapuv (ay_ipatch_object *ip)
	Flip UV of interpolating patch.
void	ay_ipt_revertu (ay_ipatch_object *ip)
	Revert interpolating patch in U direction.
void	ay_ipt_revertv (ay_ipatch_object *ip)
	Revert interpolating patch in V direction.
int	ay_ipt_interpolateu (ay_nurbpatch_object *np, int order, int ktype)
	Interpolate NURBS patch in U direction.
int	ay_ipt_interpolateud (ay_nurbpatch_object np, int order, int ktype, int dmode, double sdlen, double edlen, double sd, double *ed)
	Interpolate NURBS patch with end derivatives in U direction.
int	ay_ipt_interpolateudc (ay_nurbpatch_object np, int order, int ktype, int dmode, double sdlen, double edlen, double sd, double *ed)
	Interpolate NURBS patch with end derivatives in U direction (closed).
int	ay_ipt_interpolatev (ay_nurbpatch_object *np, int order, int ktype)
	Interpolate NURBS patch in V direction.
int	ay_ipt_interpolatevd (ay_nurbpatch_object np, int order, int ktype, int dmode, double sdlen, double edlen, double sd, double *ed)
	Interpolate NURBS patch with end derivatives in V direction.
int	ay_ipt_interpolatevdc (ay_nurbpatch_object np, int order, int ktype, int dmode, double sdlen, double edlen, double sd, double *ed)
	Interpolate NURBS patch with end derivatives in V direction (closed).
int	ay_ipt_interpuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to interpolate selected NURBS surfaces.
int	ay_ipt_crtderiv (int mode, ay_ipatch_object *ip)
	Create default derivative vectors.
int	ay_knots_createnp (ay_nurbpatch_object *patch)
	Create knots for a NURBS patch.
int	ay_knots_createnc (ay_nurbcurve_object *curve)
	Create knots for a NURBS curve.
int	ay_knots_check (int length, int order, int knot_count, double *knotv)
	Check a knot vector for errors.
void	ay_knots_printerr (char *location, int errcode)
	Print knot error message received by knots_check() to Ayam console.
int	ay_knots_rescaletorange (int n, double *knotv, double rmin, double rmax)
	Rescale a knot vector to new lower/upper bounds.
int	ay_knots_rescaletomindist (int n, double *knotv, double mindist)
	Rescale a knot vector to a minimum knot distance.
int	ay_knots_unify (double Ua, int Ualen, double Ub, int Ublen, double *Ubar, int Ubarlen)
	Unify two knot vectors.
int	ay_knots_mergenc (ay_nurbcurve_object curve, double Ubar, int Ubarlen)
	Merge knot vector into curve knots.
int	ay_knots_mergenp (ay_nurbpatch_object patch, double Ubar, int Ubarlen, double *Vbar, int Vbarlen)
	Merge knot vectors into patch knots.
int	ay_knots_getuminmax (ay_object o, int order, int knots, double knotv, double umin, double umax)
	Calculate valid knot bounds.
int	ay_knots_getvminmax (ay_object o, int order, int knots, double knotv, double vmin, double vmax)
	Calculate valid knot bounds.
int	ay_knots_setuminmax (ay_object *o, double umin, double umax)
	Set valid knot bounds (create UMM tag).
int	ay_knots_setvminmax (ay_object *o, double vmin, double vmax)
	Set valid knot bounds (create VMM tag).
int	ay_knots_coarsen (int order, int knotvlen, double knotv, int count, double *newknotv)
	Coarsen a knot vector.
int	ay_knots_chordparam (double Q, int Qlen, int stride, double *U)
	Create chordal parameterized knots.
int	ay_knots_centriparam (double Q, int Qlen, int stride, double *U)
	Create centripetal parameterized knots.
int	ay_knots_chordparamnp (int dir, double Q, int width, int height, int stride, double *U)
	Create chordal parameterized knots for a surface.
int	ay_knots_centriparamnp (int dir, double Q, int width, int height, int stride, double *U)
	Create centripetal parameterized knots for a surface.
int	ay_knots_isclamped (unsigned int side, unsigned int order, double *U, unsigned int Ulen, double eps)
	Determine whether a knot vector is clamped.
int	ay_knots_classify (unsigned int order, double *U, unsigned int Ulen, double eps)
	Classify a knot vector (returns AY_KT*).
int	ay_knots_revert (double *U, int ulen)
	Revert a knot vector.
int	ay_knots_getdisc (int Ulen, double U, int order, int Udlen, double **Ud)
	Get discontinuous parametric values of a NURBS curve/surface.
int	ay_knots_remove (unsigned int index, int order, int length, double **U)
	Remove knot from a knot vector.
int	ay_knots_insert (unsigned int index, int order, int length, double **U)
	Insert knot into a knot vector.
void	ay_knots_match (ay_nurbcurve_object nc, double eps, double u)
	Find matching knot.
int	ay_knots_evalparam (char *fpname, double u, int relative, int length, int order, double knotv, double *v)
	Manage a parameter for evaluation.
int	ay_knots_isbezierspline (int length, int order, double *U)
	Check for Bezier Spline knot type.
int	ay_knots_init (Tcl_Interp *interp)
	Initialize the knots module.
int	ay_nb_LUDecompose (int n, double A, int pivot)
	Do a LU decomposition of the nxn matrix A.
int	ay_nb_LUInvert (int n, double inv, int pivot)
	Invert the nxn matrix inv.
int	ay_nb_GlobalInterpolation4D (int n, double Q, double ub, double *Uc, int d)
	Interpolate the n+1 4D points in Q.
int	ay_nb_GlobalInterpolation4DD (int n, double Q, double ub, double Uc, int d, double D1, double *D2)
	Interpolate the n+1 4D points in Q with end derivatives.
int	ay_nb_RemoveKnotCurve4D (int n, int p, double U, double Pw, double tol, int r, int s, int num, double Ubar, double Qw)
	Remove a knot from a NURBS curve.
void	ay_nb_Bin (int maxn, int maxk, double *bin)
	Calculate binomial coefficients.
int	ay_nb_DegreeElevateCurve4D (int stride, int n, int p, double U, double Pw, int t, int nh, double Uh, double *Qw)
	Elevate degree of a NURBS curve.
int	ay_nb_SolveTridiagonal (int n, double Q, double U, double *P)
	Solve tridiagonal equation system.
int	ay_nb_InsertKnotCurve4D (int np, int p, double UP, double Pw, double u, int k, int s, int r, int nq, double UQ, double *Qw)
	Insert knot into rational NURBS curve.
int	ay_nb_InsertKnotCurve3D (int np, int p, double UP, double P, double u, int k, int s, int r, int nq, double UQ, double *Q)
	Insert knot into non-rational NURBS curve.
int	ay_nb_FindSpan (int n, int p, double u, double *U)
	Find knot span containing parameter u.
int	ay_nb_FindSpanMult (int n, int p, double u, double U, int s)
	Find knot span containing parameter u and calculate multiplicity.
int	ay_nb_BasisFuns (int i, double u, int p, double U, double N)
	Calculate NURBS basis functions.
void	ay_nb_BasisFunsM (int i, double u, int p, double U, double N)
	Calculate NURBS basis functions in provided memory.
int	ay_nb_CurvePoint4D (int n, int p, double U, double Pw, double u, double *C)
	Calculate a point on a rational NURBS curve.
void	ay_nb_CurvePoint4DM (int n, int p, double U, double Pw, double u, double *C)
	Calculate a point on a rational NURBS curve in provided memory.
int	ay_nb_CurvePoint3D (int n, int p, double U, double P, double u, double *C)
	Calculate a point on a non-rational NURBS curve.
void	ay_nb_CurvePoint3DM (int n, int p, double U, double P, double u, double *C)
	Calculate a point on a non-rational NURBS curve in provided memory.
int	ay_nb_SurfacePoint4D (int n, int m, int p, int q, double U, double V, double Pw, double u, double v, double C)
	Calculate a point on a rational NURBS surface.
int	ay_nb_SurfacePoint3D (int n, int m, int p, int q, double U, double V, double P, double u, double v, double C)
	Calculate a point on a non-rational NURBS surface.
void	ay_nb_DersBasisFuns (int i, double u, int p, int n, double U, double ders)
	Calculate derivatives of NURBS basis funs.
void	ay_nb_FirstDer3D (int n, int p, double U, double P, double u, double *C1)
	Calculate first derivative of non-rational NURBS curve.
void	ay_nb_SecondDer3D (int n, int p, double U, double P, double u, double *C2)
	Calculate second derivative of non-rational NURBS curve.
void	ay_nb_FirstDer4D (int n, int p, double U, double Pw, double u, double *C1)
	Calculate first derivative of rational NURBS curve.
void	ay_nb_SecondDer4D (int n, int p, double U, double Pw, double u, double *C2)
	Calculate second derivative of rational NURBS curve.
void	ay_nb_FirstDerSurf4D (int n, int m, int p, int q, double U, double V, double Pw, double u, double v, double C)
	Calculate first derivative of rational NURBS surface.
int	ay_nb_FirstDerSurf4DMSize (int p, int q)
	Calculate size of memory area needed by ay_nb_FirstDerSurf4DM().
void	ay_nb_FirstDerSurf4DM (int n, int m, int p, int q, double U, double V, double Pw, double u, double v, double C)
	Calculate first derivative of rational NURBS surface.
void	ay_nb_FirstDerSurf3D (int n, int m, int p, int q, double U, double V, double P, double u, double v, double C)
	Calculate first derivative of non-rational NURBS surface.
int	ay_nb_FirstDerSurf3DMSize (int p, int q)
	Calculate size of memory area needed by ay_nb_FirstDerSurf3DM().
void	ay_nb_FirstDerSurf3DM (int n, int m, int p, int q, double U, double V, double P, double u, double v, double C)
	Calculate first derivative of non-rational NURBS surface.
void	ay_nb_SecondDerSurf3D (int n, int m, int p, int q, double U, double V, double P, double u, double v, double C)
	Calculate second derivative of non-rational NURBS curve.
void	ay_nb_SecondDerSurf4D (int n, int m, int p, int q, double U, double V, double Pw, double u, double v, double C)
	Calculate second derivative of rational NURBS curve.
int	ay_nb_CreateNurbsCircleArc (double r, double ths, double the, int length, double knotv, double *controlv)
	Create NURBS circle or arc.
void	ay_nb_RefineKnotVectCurve (int is_rat, int n, int p, double U, double Pw, double X, int r, double Ubar, double *Qw)
	Refine knot vector of NURBS curve with a new vector.
int	ay_nb_DegreeElevateSurfU4D (int stride, int w, int h, int p, double U, double Pw, int t, int nw, double Uh, double *Qw)
	Elevate degree of NURBS surface in U direction.
int	ay_nb_DegreeElevateSurfV4D (int stride, int w, int h, int q, double V, double Pw, int t, int nh, double Vh, double *Qw)
	Elevate degree of NURBS surface in V direction.
int	ay_nb_RefineKnotVectSurfU (int is_rat, int w, int h, int p, double U, double Pw, double X, int r, double Ubar, double *Qw)
	Refine U knot vector of NURBS surface with a new vector.
int	ay_nb_RefineKnotVectSurfV (int is_rat, int w, int h, int p, double V, double Pw, double X, int r, double Vbar, double *Qw)
	Refine V knot vector of NURBS surface with a new vector.
int	ay_nb_DecomposeCurve (int stride, int n, int p, double U, double Pw, int nb, double *Qw)
	Decompose NURBS curve into Bezier segments.
int	ay_nb_InsertKnotSurfU (int stride, int w, int h, int p, double UP, double Pw, double u, int k, int s, int r, double UQ, double Qw)
	Insert knot into NURBS surface in U direction.
int	ay_nb_InsertKnotSurfV (int stride, int w, int h, int q, double VP, double Pw, double v, int k, int s, int r, double VQ, double Qw)
	Insert knot into NURBS surface in V direction.
int	ay_nb_RemoveKnotSurfV (int w, int h, int q, double V, double Pw, double tol, int r, int s, int num, double Vbar, double Qw)
	Remove knot from NURBS surface in V direction.
void	ay_nb_UnclampCurve (int israt, int n, int p, int s, double U, double Pw, int updateknots)
	Unclamp a NURBS curve.
void	ay_nb_UnclampSurfaceU (int israt, int w, int h, int p, int s, double U, double Pw)
	Unclamp a NURBS surface in U direction.
void	ay_nb_UnclampSurfaceV (int israt, int w, int h, int q, int s, double V, double Pw)
	Unclamp a NURBS surface in V direction.
int	ay_nb_DegreeReduceCurve4D (int n, int p, double U, double Qw, double tol, int nh, double Uh, double *Pw)
	Reduce degree of NURBS curve.
int	ay_nb_DegreeReduceSurfV (int w, int h, int q, double V, double Pw, double tol, int nh, double Vbar, double *Qw)
	Reduce degree of NURBS surface.
void	ay_nb_MakeOneArc (double P0, double T0, double P2, double T2, double P, double P1, double *w1)
	Create conic arc Bezier curve.
double	ay_nb_InsertControlCurve4D (int n, int p, double U, double Pw, int qi, double *Q)
	Compute knot that relates to an inserted control point.
int	ay_nct_create (int order, int length, int knot_type, double controlv, double knotv, ay_nurbcurve_object **curveptr)
	Create NURBS curve object.
void	ay_nct_destroy (ay_nurbcurve_object *curve)
	Gracefully destroy NURBS curve object.
void	ay_nct_clearmp (ay_nurbcurve_object *c)
	Remove multiple points from curve.
void	ay_nct_recreatemp (ay_nurbcurve_object *c)
	Re-create multiple points for curve.
int	ay_nct_collapseselp (ay_object *o)
	Collapse selected points to multiple points.
int	ay_nct_explodemp (ay_object *o)
	Explode selected multiple points.
int	ay_nct_resize (ay_nurbcurve_object *curve, int new_length)
	Change the number of control points of a NURBS curve.
int	ay_nct_close (ay_nurbcurve_object *curve)
	Close NURBS curve.
int	ay_nct_open (ay_nurbcurve_object *curve)
	Open a NURBS curve.
int	ay_nct_refinearray (double Pw, int len, int stride, ay_point selp, double *Qw, int Qwlen)
	Refine a 1D control point array.
int	ay_nct_revertarr (double *cv, int cvlen, int stride)
	Revert array.
int	ay_nct_revert (ay_nurbcurve_object *curve)
	Revert NURBS curve.
int	ay_nct_refinekn (ay_nurbcurve_object curve, int maintain_ends, double newknotv, int newknotvlen)
	Refine NURBS curve knots.
int	ay_nct_refinecv (ay_nurbcurve_object curve, ay_point selp)
	Refine NURBS curve control points.
int	ay_nct_refinekntcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to refine the knots of selected NURBS curves.
int	ay_nct_clampperiodic (ay_nurbcurve_object *curve)
	Clamp periodic NURBS curve on both ends.
int	ay_nct_clamp (ay_nurbcurve_object *curve, int side)
	Clamp NURBS curve.
int	ay_nct_clamptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to clamp selected NURBS curves.
int	ay_nct_elevate (ay_nurbcurve_object *curve, int new_order)
	Elevate order of NURBS curve.
int	ay_nct_elevatetcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to elevate order of selected NURBS curves.
int	ay_nct_insertkntcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to insert knot into selected NURBS curves.
int	ay_nct_findu (struct Togl togl, ay_object o, double winXY, double worldXYZ, double *u)
	Find point on NURBS curve.
int	ay_nct_finducb (struct Togl togl, int argc, char argv[])
	Find point on NURBS curve modelling action.
int	ay_nct_split (ay_object src, double u, int relative, ay_object *result)
	Split NURBS curve.
int	ay_nct_splittcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to split selected NURBS curves.
int	ay_nct_concatctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to concatenate selected curves.
int	ay_nct_crtncircle (double radius, ay_nurbcurve_object **curve)
	Create a NURBS circle.
int	ay_nct_crtncirclearc (double radius, double arc, ay_nurbcurve_object **curve)
	Create a circular NURBS arc.
int	ay_nct_crtnhcircle (double radius, ay_nurbcurve_object **curve)
	Create a NURBS half-circle.
int	ay_nct_crtncirclefrom3pnts (double A, double B, double C, ay_nurbcurve_object *ncircle)
	Create a NURBS circle from three points.
int	ay_nct_crtncirclearcfrom3pnts (double A, double B, double C, int keep_cvs, ay_nurbcurve_object *ncirclearc)
	Create a NURBS circle arc from three points.
int	ay_nct_crtnconicarc (double p0, double t0, double p2, double t2, double p1, int keep_cvs, ay_nurbcurve_object *narc)
	Create a NURBS conic arc.
int	ay_nct_crtncircletcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a NURBS circle.
int	ay_nct_crtnparabola (double ymin, double ymax, double rmax, ay_nurbcurve_object **curve)
	Create a NURBS parabola.
int	ay_nct_crtnhyperbola (double ymin, double ymax, double a, double b, ay_nurbcurve_object **curve)
	Create a NURBS hyperbola.
int	ay_nct_crtnparabolatcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a NURBS parabola or hyperbola.
int	ay_nct_crtnconicarctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a NURBS conic arc or circle arc.
int	ay_nct_crtrecttcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a NURBS rectangle.
int	ay_nct_crtcircbspcv (int sections, double radius, double arc, int order, double **result)
	Create control points for a circular B-Spline curve.
int	ay_nct_crtcircbsp (int sections, double radius, double arc, int order, ay_nurbcurve_object **result)
	Create a circular B-Spline curve.
int	ay_nct_crtclosedbsptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a circular B-Spline curve.
int	ay_nct_getorientation (ay_nurbcurve_object curve, int stride, int report, int plane, double oangle)
	Calculate orientation of planar aligned NURBS curve.
int	ay_nct_getorientation3d (ay_nurbcurve_object curve, int stride, int report, double orient)
	Calculate orientation of NURBS curve.
int	ay_nct_getwinding (ay_nurbcurve_object curve, double v)
	Calculate winding of arbitrary (3D) NURBS curve.
int	ay_nct_isclosed (ay_nurbcurve_object *nc)
	Check NURBS curve closeness.
void	ay_nct_settype (ay_nurbcurve_object *nc)
	Set NURBS curve type.
int	ay_nct_applytrafo (ay_object *c)
	Apply transformations to all control points.
int	ay_nct_getpntfromindex (ay_nurbcurve_object curve, int index, double *p)
	Get control point from index.
void	ay_nct_concatobjs (ay_object o, ay_object *result)
	Concatenate multiple objects.
int	ay_nct_concatmultiple (int closed, int knot_type, int fillgaps, ay_object curves, ay_object *result)
	Concatenate multiple NURBS curves.
int	ay_nct_fillgap (int order, double tanlen, ay_nurbcurve_object c1, ay_nurbcurve_object c2, ay_object **result)
	Create fillet.
int	ay_nct_fillgaps (int closed, int order, double tanlen, ay_object *curves)
	Create fillets.
int	ay_nct_arrange (ay_object o, ay_object t, int rotate)
	Place objects on a curve.
int	ay_nct_rescaleknvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to rescale the knot vectors of selected curves.
double	ay_nct_gettorsion (ay_nurbcurve_object *nc, int relative, double u)
	Calculate torsion at parameter value u.
double	ay_nct_getcurvature (ay_nurbcurve_object *nc, int relative, double u)
	Calculate curvature at parameter value u.
int	ay_nct_curvplottcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a curvature plot curve.
int	ay_nct_getcurvaturetcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to compute the curvature of a curve.
int	ay_nct_intersect (ay_nurbcurve_object cu, ay_nurbcurve_object cv, double *intersection)
	Unfinished.
int	ay_nct_intersectsets (int ncu, ay_object cu, int ncv, ay_object cv, double *intersections)
	Calculate intersections of two sets of curves.
int	ay_nct_iscompatible (ay_object curves, int level, int result)
	Check a number of curves for compatibility.
int	ay_nct_makecompatible (ay_object *curves, int level)
	Make a number of curves compatible.
int	ay_nct_shiftarr (int dir, int stride, int cvlen, double *cv)
	Shift control points of a 1D (curve) control vector.
int	ay_nct_shiftctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Shift control points of selected curves.
int	ay_nct_toplane (int plane, int allow_flip, ay_object *c)
	Rotate curve to XY/YZ/XZ plane.
int	ay_nct_toxytcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to rotate selected NURBS curves to XY/YZ/XZ plane.
int	ay_nct_iscomptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to check compatibility of the selected NURBS curves.
int	ay_nct_makecomptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to make selected NURBS curves compatible.
int	ay_nct_israt (ay_nurbcurve_object *curve)
	Check whether any weight of a NURBS curve is != 1.0.
int	ay_nct_coarsen (ay_nurbcurve_object curve, ay_point selp)
	Coarsen NURBS curve.
int	ay_nct_coarsenarray (double Pw, int len, int stride, ay_point selp, double *Qw, int Qwlen)
	Coarsen a 1D control point vector.
int	ay_nct_removesuperfluousknots (ay_nurbcurve_object *nc, double tol)
	Remove all knots from the curve that do not contribute to its shape.
int	ay_nct_removekntcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to remove a knot from selected NURBS curves.
int	ay_nct_trimtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Trim selected NURBS curves.
int	ay_nct_trim (ay_nurbcurve_object **curve, double umin, double umax)
	Trim NURBS curve.
int	ay_nct_isdegen (ay_nurbcurve_object *curve)
	Check curve for degeneracy.
int	ay_nct_offset (ay_object o, int mode, double offset, ay_nurbcurve_object *nc)
	Create offset curve.
int	ay_nct_cmppnt (const void p1, const void p2)
	Compare two points (helper for qsort).
int	ay_nct_cmppntp (const void p1, const void p2)
	Compare two points given as pointers (helper for qsort).
int	ay_nct_estlen (ay_nurbcurve_object nc, double len)
	Do curve length estimation.
int	ay_nct_estlentcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to estimate length of selected NURBS curves.
int	ay_nct_reparamtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to reparameterise selected NURBS curves.
int	ay_nct_euctohom (ay_nurbcurve_object *nc)
	Convert rational coordinates from euclidean to homogeneous style.
int	ay_nct_homtoeuc (ay_nurbcurve_object *nc)
	Convert rational coordinates from homogeneous to euclidean style.
void	ay_nct_isplanar (ay_object c, int allow_flip, ay_object cp, int is_planar)
	Check planarity of curve.
int	ay_nct_unclamptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to unclamp the selected NURBS curves.
int	ay_nct_extend (ay_nurbcurve_object curve, double p)
	Extend NURBS curve to a point.
int	ay_nct_extendtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to extend the selected NURBS curves.
double	ay_nct_meandist (int cvlen, int cvastride, double cva, int cvbstride, double cvb)
	Compute mean distance of two 1D control point arrays.
int	ay_nct_shifttominmeandist (int cvlen, int cvstride, double cva, double cvb)
	Shift 1D control point array to minimum mean distance to a second array.
int	ay_nct_rotatetominmeandist (int cvlen, int cvstride, double cva, double cvb)
	Rotate 1D control point array to minimum mean distance to a second array.
int	ay_nct_getcvtangents (ay_nurbcurve_object nc, double *result)
	Compute curve tangent vectors from control points.
int	ay_nct_computebreakpoints (ay_nurbcurve_object *ncurve)
	Compute all distinct knots and their curve positions.
void	ay_nct_drawbreakpoints (ay_nurbcurve_object *ncurve)
	Draw distinct knots as rhombuses.
void	ay_nct_colorfromweight (double w)
	Set the current OpenGL color from a weight value.
int	ay_nct_extractnc (ay_object src, double umin, double umax, int relative, ay_object *result)
	Extract sub curve.
int	ay_nct_extractnctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to extract a sub curve from the selected NURBS curves.
int	ay_nct_fair (ay_nurbcurve_object curve, ay_point selp, double tol, int fair_worst)
	make the shape of a curve more pleasant
int	ay_nct_fairnctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to make the shape of a curve more pleasant.
int	ay_nct_tobezierspline (ay_nurbcurve_object *nc)
	Convert knots to bezier spline style.
double	ay_nct_dist (ay_nurbcurve_object nc1, ay_nurbcurve_object nc2, int mode)
	Compute (mean, min, max) distance between curves.
int	ay_nct_distnctcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to compute curve distances.
int	ay_npt_create (int uorder, int vorder, int width, int height, int uknot_type, int vknot_type, double controlv, double uknotv, double vknotv, ay_nurbpatch_object *patchptr)
	Create NURBS patch object.
void	ay_npt_destroy (ay_nurbpatch_object *patch)
	Gracefully destroy NURBS patch object.
int	ay_npt_createnpatchobject (ay_object **result)
	Create Ayam object for NURBS patch.
void	ay_npt_resetdisplay (ay_object *o)
	Reset the display attributes of a NURBS patch.
int	ay_npt_resizearrayw (double **controlvptr, int stride, int width, int height, int new_width)
	Resize width (U) of 2D control point array.
int	ay_npt_resizew (ay_nurbpatch_object *np, int new_width)
	Resize width (U) of NURBS patch.
int	ay_npt_resizearrayh (double **controlvptr, int stride, int width, int height, int new_height)
	Resize height (V) of 2D control point array.
int	ay_npt_resizeh (ay_nurbpatch_object *np, int new_height)
	Resize height (V) of NURBS patch.
int	ay_npt_revertu (ay_nurbpatch_object *np)
	Revert NURBS patch in U direction.
int	ay_npt_revertutcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to revert selected surfaces in U direction.
int	ay_npt_revertv (ay_nurbpatch_object *np)
	Revert NURBS patch in V direction.
int	ay_npt_revertvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to revert selected surfaces in V direction.
int	ay_npt_swaparray (double **controlvptr, int stride, int width, int height)
	Flip UV of 2D control point array.
int	ay_npt_swapuv (ay_nurbpatch_object *np)
	Flip UV of NURBS patch.
int	ay_npt_drawtrimcurve (ay_object o, GLUnurbsObj no, unsigned int refine)
	Draw a single trim curve using GLU.
int	ay_npt_drawtrimcurves (ay_object *o, unsigned int refine_trims)
	Draw all trim curves using GLU.
void	ay_npt_drawhandles (struct Togl togl, ay_nurbpatch_object npatch)
	Draw handles helper for tool objects.
void	ay_npt_drawrohandles (ay_nurbpatch_object *patch)
	Draw read-only handles.
int	ay_npt_computebreakpoints (ay_nurbpatch_object *npatch)
	Compute all distinct knots and their surface positions.
void	ay_npt_drawbreakpoints (ay_nurbpatch_object *npatch)
	Draw distinct knots as rhombuses.
int	ay_npt_crtcobbsphere (ay_nurbpatch_object **cobbsphere)
	Create Cobbs NURBS sphere patch.
int	ay_npt_crtnsphere (double radius, ay_nurbpatch_object **nsphere)
	Create standard NURBS sphere (revolved half circle).
int	ay_npt_crtnparaboloid (double ymin, double ymax, double rmax, ay_nurbpatch_object **nparab)
	Create standard NURBS paraboloid (revolved parabola).
int	ay_npt_crtnhyperboloid (double ymin, double ymax, double a, double b, ay_nurbpatch_object **nhyperb)
	Create standard NURBS hyperboloid (revolved hyperbola).
int	ay_npt_crtntorus (double majorradius, double minorradius, ay_nurbpatch_object **nsphere)
	Create standard NURBS torus (revolved circle).
int	ay_npt_crtncylinder (double radius, double height, ay_nurbpatch_object **nsphere)
	Create standard NURBS cylinder (revolved line).
int	ay_npt_crtncone (double radius, double height, ay_nurbpatch_object **nsphere)
	Create standard NURBS cone (revolved line).
int	ay_npt_crtndisk (double radius, ay_nurbpatch_object **nsphere)
	Create standard NURBS disk (revolved line).
int	ay_npt_crtncube (double radius, ay_nurbpatch_object **ncube)
	Create simple NURBS cube.
int	ay_npt_crtnquadtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create standard NURBS quadrics.
int	ay_npt_crtnsphere2tcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to create a multi patch Cobbs NURBS sphere.
int	ay_npt_breakintocurvesu (ay_object o, int apply_trafo, ay_object curves, ay_object **last)
	Break NURBS patch into curves along U.
int	ay_npt_breakintocurvesv (ay_object o, int apply_trafo, ay_object curves, ay_object **last)
	Break NURBS patch into curves along V.
int	ay_npt_breakintocurvestcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to break a NURBS patch into curves.
int	ay_npt_buildfromcurves (ay_list_object curves, int ncurves, int type, int order, int knot_type, int apply_trafo, ay_object *patch)
	Build NURBS patch from curves.
int	ay_npt_buildfromcurvestcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to build NURBS patch from curves.
int	ay_npt_fillgap (ay_object o1, ay_object o2, double tanlen, char uv, ay_object *result)
	Create fillet patch.
int	ay_npt_setback (ay_object o1, ay_object o2, double tanlen, char *uv)
	Create setback (instead of fillet).
int	ay_npt_concat (ay_object o, int type, int order, int knot_type, int fillet_type, double ftlen, int compatible, char uv, ay_object **result)
	Concatenate NURBS patches.
int	ay_npt_revolve (ay_object o, double arc, int sections, int order, ay_nurbpatch_object *revolution)
	Create surface of revolution.
int	ay_npt_swing (ay_object o1, ay_object o2, ay_nurbpatch_object **swing)
	Create swung surface.
int	ay_npt_sweep (ay_object o1, ay_object o2, ay_object o3, int sections, int rotate, int closed, ay_nurbpatch_object *sweep)
	Create swept surface.
int	ay_npt_sweepperiodic (ay_object o1, ay_object o2, ay_object o3, int sections, int rotate, ay_nurbpatch_object *sweep)
	Create periodic swept surface.
int	ay_npt_birail1 (ay_object o1, ay_object o2, ay_object o3, int sections, int closed, ay_nurbpatch_object *birail1)
	Create birailed surface from three curves.
int	ay_npt_birail1periodic (ay_object o1, ay_object o2, ay_object o3, int sections, ay_nurbpatch_object *birail1)
	Create periodic birailed surface from three curves.
int	ay_npt_birail2 (ay_object o1, ay_object o2, ay_object o3, ay_object o4, ay_object o5, int sections, int closed, int fullinterpolctrl, ay_nurbpatch_object *birail2)
	Create birailed surface from four curves.
int	ay_npt_skinu (ay_object curves, int order, int knot_type, int interpolate, ay_nurbpatch_object *skin)
	Create loft/skinned surface.
int	ay_npt_skinv (ay_object curves, int order, int knot_type, int interpolate, ay_nurbpatch_object *skin)
	Create loft/skinned surface.
int	ay_npt_extrude (double height, ay_object o, ay_nurbpatch_object *extrusion)
	Create extruded surface.
int	ay_npt_gettangentfromcontrol2D (int ctype, int n, int p, int stride, double P, int a, double T)
	Calculate 2D tangent from control points.
int	ay_npt_createcap (double z, ay_nurbcurve_object curve, double ominx, double omaxx, double ominy, double omaxy, ay_nurbpatch_object *cap)
	Create cap surface.
int	ay_npt_applytrafo (ay_object *p)
	Apply transformations to all control points.
int	ay_npt_getpntfromindex (ay_nurbpatch_object patch, int indexu, int indexv, double *p)
	Get control point from index.
int	ay_npt_elevateu (ay_nurbpatch_object *patch, int t, int is_clamped)
	Elevate U order of NURBS patch.
int	ay_npt_elevatev (ay_nurbpatch_object *patch, int t, int is_clamped)
	Elevate V order of NURBS patch.
int	ay_npt_elevateuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to elevate U/V order of selected NURBS patches.
int	ay_npt_swapuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to swap U and V of selected surfaces.
int	ay_npt_gordon (ay_object cu, ay_object cv, ay_object in, int uorder, int vorder, ay_nurbpatch_object *gordon)
	Create Gordon surface.
int	ay_npt_dualskin (ay_object cu, ay_object cv, ay_object tc, int uorder, int vorder, ay_nurbpatch_object *dskin)
	Create DualSkin surface.
void	ay_npt_gordonwc (ay_object *g)
	Watch and correct Gordon surface corners.
void	ay_npt_gordonwct (ay_object *g)
	Watch and correct triangular Gordon surface corners.
int	ay_npt_extractboundary (ay_object o, int apply_trafo, int extractnt, double pvnt, ay_nurbcurve_object *result)
	Extract boundary curve from NURBS patch.
int	ay_npt_extracttrim (ay_object o, int tnum, double param, int apply_trafo, int extractnt, double pvnt, ay_nurbcurve_object *result)
	Extract trim curve from NURBS patch.
int	ay_npt_extractnc (ay_object npatch, int side, double param, int relative, int apply_trafo, int extractnt, double pvnt, ay_nurbcurve_object *result)
	Extract curve from patch.
int	ay_npt_israt (ay_nurbpatch_object *np)
	Check whether any weight of a NURBS patch is != 1.0.
int	ay_npt_isboundcurve (ay_object o, double b1, double b2, double b3, double b4, int result)
	Check whether curve is boundary.
int	ay_npt_istrimmed (ay_object *o, int mode)
	Check whether NURBS patch is trimmed.
int	ay_npt_closeu (ay_nurbpatch_object *np, int mode)
	Close NURBS patch in U direction.
int	ay_npt_closeutcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to close selected surface objects in U direction.
int	ay_npt_closev (ay_nurbpatch_object *np, int mode)
	Close NURBS patch in V direction.
int	ay_npt_closevtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to close selected surface objects in V direction.
int	ay_npt_openu (ay_nurbpatch_object *np, double offset)
	Open NURBS patch in U direction.
int	ay_npt_openv (ay_nurbpatch_object *np, double offset)
	Open NURBS patch in V direction.
int	ay_npt_openuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to close selected surface objects in U/V direction.
int	ay_npt_isplanar (ay_nurbpatch_object np, double n)
	Check NURBS patch planarity.
int	ay_npt_isclosedu (ay_nurbpatch_object *np)
	Check NURBS patch closeness in U direction.
int	ay_npt_isclosedv (ay_nurbpatch_object *np)
	Check NURBS patch closeness in V direction.
void	ay_npt_setuvtypes (ay_nurbpatch_object *np, int dir)
	Set the NURBS patch utype and vtype attributes.
void	ay_npt_clearmp (ay_nurbpatch_object *np)
	Remove multiple points from patch np.
void	ay_npt_recreatemp (ay_nurbpatch_object *np)
	Re-create multiple points for patch np.
int	ay_npt_collapseselp (ay_object *o)
	Collapse selected points to multiple points.
int	ay_npt_explodemp (ay_object *o)
	Explode selected multiple points.
int	ay_npt_getbeveltags (ay_object o, int place, int has_bevel, int type, double radius, int *sense)
	Find and parse bevel parameter tags.
int	ay_npt_clampu (ay_nurbpatch_object *np, int side)
	Clamp surface in U direction.
int	ay_npt_clampv (ay_nurbpatch_object *np, int side)
	Clamp surface in V direction.
int	ay_npt_clampuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to clamp selected NURBS patches in U/V direction.
int	ay_npt_rescaletrims (ay_object *trim, int mode, double omin, double omax, double nmin, double nmax)
	Rescale trim curves according to surface knot vector scaling.
int	ay_npt_rescaleknvnptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to rescale knots of selected NURBS patches.
int	ay_npt_insertknutcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to insert knots into selected NURBS patches (U direction).
int	ay_npt_insertknvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to insert knots into selected NURBS patches (V direction).
int	ay_npt_splitu (ay_object src, double u, int relative, ay_object *result)
	Split a surface in U direction (along V).
int	ay_npt_splitv (ay_object src, double v, int relative, ay_object *result)
	Split a surface in V direction (along U).
int	ay_npt_splituvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to split selected NURBS patches in U/V direction.
int	ay_npt_extractnp (ay_object src, double umin, double umax, double vmin, double vmax, int relative, ay_object *result)
	Extract sub surface.
int	ay_npt_extractnptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to extract a sub surface from the selected NURBS patches.
int	ay_npt_offset (ay_object o, int mode, double offset, ay_nurbpatch_object *np)
	Calculate offset surface.
int	ay_npt_finduv (struct Togl togl, ay_object o, double winXY, double worldXYZ, double u, double v)
	Find point on NURBS surface.
int	ay_npt_finduvcb (struct Togl togl, int argc, char argv[])
	Find point on NURBS surface modelling action.
int	ay_npt_avglensu (double cv, int width, int height, int stride, double *avlens)
	Compute average control point distances in U direction.
int	ay_npt_avglensv (double cv, int width, int height, int stride, double *avlens)
	Compute average control point distances in V direction.
int	ay_npt_concatstcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to concatenate selected surfaces.
int	ay_npt_remknunptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to remove knot from selected surfaces.
int	ay_npt_remknvnptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to remove knot from selected surfaces.
int	ay_npt_removesuperfluousknots (ay_nurbpatch_object *np, double tol)
	Remove all knots from the surface that do not contribute to its shape.
int	ay_npt_remsuknnptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to remove superfluous knots from selected surfaces.
int	ay_npt_degreereduce (ay_nurbpatch_object *np, double tol)
	Reduce degree of the surface.
int	ay_npt_degreereducetcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to reduce the degree of selected surfaces.
int	ay_npt_euctohom (ay_nurbpatch_object *nc)
	Convert rational coordinates from euclidean to homogeneous style.
int	ay_npt_homtoeuc (ay_nurbpatch_object *nc)
	Convert rational coordinates from homogeneous to euclidean style.
int	ay_npt_refineu (ay_nurbpatch_object patch, double newknotv, int newknotvlen)
	Refine NURBS surface in U direction.
int	ay_npt_refinev (ay_nurbpatch_object patch, double newknotv, int newknotvlen)
	Refine NURBS surface in V direction.
int	ay_npt_refineuvtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to refine the knots of selected surfaces.
void	ay_npt_gnd (char dir, ay_nurbpatch_object np, int ij, double p, double **dp)
	Get next different control point in designated direction.
void	ay_npt_getcvnormals (ay_nurbpatch_object np, double n)
	Get all normals from control points.
void	ay_npt_getcvnormal (ay_nurbpatch_object np, int i, int j, double n)
	Get a single normal from control points.
int	ay_npt_unclamptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to unclamp the knot vectors of the selected surfaces.
void	ay_npt_gentexcoords (ay_nurbpatch_object np, ay_tag tags, double **result)
	Generate texture coordinates.
int	ay_npt_iscompatible (ay_object patches, int side, int level, int result)
	Check compatibility of surfaces.
int	ay_npt_iscomptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to check compatibility of selected surfaces.
int	ay_npt_makecompatible (ay_object *patches, int side, int level)
	Make a number of NURBS surfaces compatible.
int	ay_npt_makecomptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to make selected NURBS surfaces compatible.
int	ay_npt_isdegen (ay_nurbpatch_object *patch)
	Check surface for degeneracy.
int	ay_npt_getcurvaturetcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to compute the curvature of a NURBS surface.
int	ay_npt_fair (ay_nurbpatch_object np, ay_point selp, double tol, int mode, int worst)
	Improve the shape of a NURBS surface.
int	ay_npt_fairnptcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to improve the shape of a NURBS surface.
int	ay_npt_drawboundaries (struct Togl togl, ay_object o)
	Draw all selected boundaries of a NURBS surface.
int	ay_npt_pickboundcb (struct Togl togl, int argc, char argv[])
	Select boundary on NURBS surface modelling action.
int	ay_npt_selectbound (ay_object *o, unsigned int pid, unsigned int bid, int format)
	Add SB (SelectedBoundary) tag to an object.
void	ay_npt_deselectbound (ay_object *o, unsigned int pid, unsigned int bid)
	Remove SB (SelectedBoundary) tags from an object.
int	ay_npt_isboundselected (ay_object *o, unsigned int pid, unsigned int bid)
	Check for presence of an SB tag.
int	ay_npt_tgordon (ay_object curves, int uorder, int vorder, ay_nurbpatch_object gordon)
	Create triangular Gordon surface.
int	ay_npt_flashboundcb (struct Togl togl, int argc, char argv[])
	Draw surface boundary in front buffer with XOR.
int	ay_npt_tobeziersplineu (ay_nurbpatch_object *np)
	Convert knots to bezier spline style.
int	ay_npt_tobeziersplinev (ay_nurbpatch_object *np)
	Convert knots to bezier spline style.
int	ay_pmt_tonpatch (ay_object o, int btype, ay_object *result)
	Convert patchmesh to NURBS patch.
int	ay_pmt_valid (ay_pamesh_object *pamesh)
	Check patchmesh for errors.
int	ay_pmt_getpntfromindex (ay_pamesh_object patch, int indexu, int indexv, double *p)
	Get control point from index.
int	ay_pmt_swapuv (ay_pamesh_object *pm)
	Flip UV of patchmesh.
void	ay_pmt_revertu (ay_pamesh_object *pm)
	Revert patchmesh in U direction.
void	ay_pmt_revertv (ay_pamesh_object *pm)
	Revert patchmesh in V direction.
int	ay_pmt_israt (ay_pamesh_object *pm)
	Check whether any weight of a patch mesh is != 1.0.
int	ay_pmt_tobasistcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to convert selected patch meshes to a different basis matrix.
void	ay_pmt_getbasis (int btype, double **result)
	Get basis matrix.
void	ay_pmt_init ()
	Initialize the patch mesh tools module.
void	ay_stess_destroy (ay_stess_patch *stess)
	Remove tesselation from NURBS patch.
int	ay_stess_GetQF (double gst)
	Calculate stess usable quality factor from GLU sampling tolerance.
int	ay_stess_CurvePoints2D (int n, int p, double U, double Pw, int stride, int is_rat, int qf, int Clen, double *C)
	Tesselate a (non-rational or rational) 2D (trim) curve.
int	ay_stess_CurvePoints3D (int n, int p, double U, double Pw, int is_rat, int qf, int Clen, double *C)
	Tesselate a (non-rational or rational) 3D curve.
int	ay_stess_SurfacePoints3D (int n, int m, int p, int q, double U, double V, double P, int qfu, int qfv, int Cn, int Cm, double *C)
	Tesselate a untrimmed, non-rational NURBS surface.
int	ay_stess_SurfacePoints4D (int n, int m, int p, int q, double U, double V, double P, int qfu, int qfv, int Cn, int Cm, double *C)
	Tesselate a untrimmed, rational NURBS surface.
void	ay_stess_DrawTrimmedSurface (ay_stess_patch *stess)
	Draw tesselation of a trimmed NURBS surface.
void	ay_stess_ShadeTrimmedSurface (ay_stess_patch *stess)
	Shade tesselation of a trimmed NURBS surface.
int	ay_stess_TessTrimCurves (ay_object o, int qf, int nt, double *tt, int tl, int **td)
	Tesselate all trim curves of a NURBS surface.
int	ay_stess_ReTessTrimCurves (ay_object o, int qf, int nt, double tt, int tl, double **tp)
	Tesselate all trim curves of a NURBS surface for drawing.
int	ay_stess_TessTrimmedNP (ay_object o, int qf, ay_stess_patch stess)
	Tesselate a trimmed NURBS surface.
int	ay_stess_TessNP (ay_object o, int qf, ay_stess_patch stess)
	Tesselate a NURBS surface.
int	ay_stess_topomesh (ay_stess_patch stess, ay_object *result)
	Convert a STESS tesselation to a polymesh.
int	ay_tess_quadrangulate (ay_object o, ay_nurbpatch_object np, double uv, char stname, ay_object **q)
	Refine a tesselated triangular polymesh to quads.
void	ay_stess_init (Tcl_Interp *interp)
	initialize the STESS module
int	ay_tess_checktri (double p1, double p2, double *p3)
	Check triangle for degeneracy.
int	ay_tess_npatch (ay_object o, int smethod, double sparamu, double sparamv, int use_tc, char myst, int use_vc, char mycs, int use_vn, char myn, int refine_trims, int primitives, double quad_eps, ay_object **pm)
	Tesselate NURBS patch (convert to PolyMesh) with GLU.
int	ay_tess_npatchtcmd (ClientData clientData, Tcl_Interp interp, int argc, char argv[])
	Tcl command to tesselate selected NURBS patches (convert to PolyMesh) with GLU.
int	ay_tess_pomeshf (ay_pomesh_object pomesh, unsigned int f, unsigned int m, unsigned int n, int optimize, ay_pomesh_object *trpomesh)
	Tesselate a single polymesh face with GLU.
int	ay_tess_pomesh (ay_pomesh_object pomesh, int optimize, double normal, ay_pomesh_object **trpomesh)
	Tesselate a polymesh with GLU.
int	ay_tess_ncurve (ay_nurbcurve_object ncurve, double tmode, double tparam, double verts, int vertslen)
	Tesselate a NURBS curve with GLU.
double	ay_rtess_getedgethresh (double tolerance)
	Compute edge threshold from GLU sampling tolerance.
int	ay_rtess_tessnp (ay_nurbpatch_object np, int degen, int dice, double tolerance, ay_object *result)
	Tesselate a NURBS patch with rtess.

nurbs.h File Reference

Functions

Detailed Description