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pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

NAME
     pfGetNurbSurfaceClassType, pfNewNurbSurface, pfNurbSurfaceControlHull,
     pfNurbSurfaceControlHull4, pfNurbSurfaceWeight, pfNurbSurfaceUknot,
     pfNurbSurfaceVknot, pfNurbSurfaceControlHullUSize,
     pfNurbSurfaceControlHullVSize, pfGetNurbSurfaceControlHull,
     pfGetNurbSurfaceControlHullUSize, pfGetNurbSurfaceControlHullVSize,
     pfGetNurbSurfaceWeight, pfGetNurbSurfaceUknot, pfGetNurbSurfaceVknot,
     pfGetNurbSurfaceUknotCount, pfGetNurbSurfaceVknotCount,
     pfGetNurbSurfaceUorder, pfGetNurbSurfaceVorder,
     pfRemoveControlHullElmNurbSurface, pfRemoveUknotNurbSurface,
     pfRemoveVknotNurbSurface, pfFlipUVNurbSurface - NURB surface

FUNCTION SPECIFICATION
     #include <Performer/pf.h>

     pfType *	      pfGetNurbSurfaceClassType(void);

     pfNurbSurface*   pfNewNurbSurface(void *arena);

     void	      pfNurbSurfaceControlHull(pfNurbSurface* ns, int iu,
			int iv, const pfVec3 &p);

     void	      pfNurbSurfaceControlHull4(pfNurbSurface* ns, int iu,
			int iv, const pfVec4 &p);

     void	      pfNurbSurfaceWeight(pfNurbSurface* ns, int iu, int iv,
			pfReal w);

     void	      pfNurbSurfaceUknot(pfNurbSurface* ns, int iu, pfReal u);

     void	      pfNurbSurfaceVknot(pfNurbSurface* ns, int iv, pfReal v);

     void	      pfNurbSurfaceControlHullUSize(pfNurbSurface* ns, int s);

     void	      pfNurbSurfaceControlHullVSize(pfNurbSurface* ns, int s);

     const pfVec3*    pfGetNurbSurfaceControlHull(pfNurbSurface* ns, int iu,
			int iv);

     int	      pfGetNurbSurfaceControlHullUSize(pfNurbSurface* ns);

     int	      pfGetNurbSurfaceControlHullVSize(pfNurbSurface* ns);

     pfReal	      pfGetNurbSurfaceWeight(pfNurbSurface* ns, int iu,
			int iv);

     pfReal	      pfGetNurbSurfaceUknot(pfNurbSurface* ns, int iu);

     pfReal	      pfGetNurbSurfaceVknot(pfNurbSurface* ns, int iv);

									Page 1

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     int	      pfGetNurbSurfaceUknotCount(pfNurbSurface* ns);

     int	      pfGetNurbSurfaceVknotCount(pfNurbSurface* ns);

     int	      pfGetNurbSurfaceUorder(pfNurbSurface* ns);

     int	      pfGetNurbSurfaceVorder(pfNurbSurface* ns);

     void	      pfRemoveControlHullElmNurbSurface(pfNurbSurface* ns,
			int iu, int iv);

     void	      pfRemoveUknotNurbSurface(pfNurbSurface* ns, int iu);

     void	      pfRemoveVknotNurbSurface(pfNurbSurface* ns, int iv);

     void	      pfFlipUVNurbSurface(pfNurbSurface* ns);

PARENT CLASS FUNCTIONS
     The OpenGL Performer class pfNurbSurfaceSurface is derived from the
     parent class pfParaSurface, so each of these member functions of class
     pfParaSurface are also directly usable with objects of class
     pfNurbSurfaceSurface.  Casting an object of class pfNurbSurfaceSurface to
     an object of class pfParaSurface is taken care of automatically.  This is
     also true for casts to objects of ancestor classes of class
     pfParaSurface.

     void	   pfParaSurfaceBeginU(pfParaSurface* surf, pfReal u);
     void	   pfParaSurfaceEndU(pfParaSurface* surf, pfReal u);
     void	   pfParaSurfaceBeginV(pfParaSurface* surf, pfReal v);
     void	   pfParaSurfaceEndV(pfParaSurface* surf, pfReal v);
     void	   pfParaSurfaceSolidId(pfParaSurface* surf, int solidId);
     void	   pfParaSurfaceTopoId(pfParaSurface* surf, int topoId);
     void	   pfParaSurfaceSurfaceId(pfParaSurface* surf, int surfaceId);
     pfReal	   pfGetParaSurfaceBeginU(pfParaSurface* surf);
     pfReal	   pfGetParaSurfaceEndU(pfParaSurface* surf);
     pfReal	   pfGetParaSurfaceBeginV(pfParaSurface* surf);
     pfReal	   pfGetParaSurfaceEndV(pfParaSurface* surf);
     int	   pfGetParaSurfaceTrimLoopCount(pfParaSurface* surf);
     pfLoop	   pfGetParaSurfaceTrimLoopClosed(pfParaSurface* surf,
		     int loopNum);
     int	   pfGetParaSurfaceTrimCurveCount(pfParaSurface* surf,
		     int loopNum);
     pfEdge*	   pfGetParaSurfaceTrimCurve(pfParaSurface* surf, int loopNum,
		     int curveNum);
     pfTopo*	   pfGetParaSurfaceTopo(pfParaSurface* surf);
     int	   pfGetParaSurfaceTopoId(pfParaSurface* surf);
     int	   pfGetParaSurfaceSolidId(pfParaSurface* surf);
     int	   pfGetParaSurfaceSurfaceId(pfParaSurface* surf);
     void	   pfParaSurfaceHandednessHint(pfParaSurface* surf,
		     pfBool _clockWise);

									Page 2

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     pfBool	   pfGetParaSurfaceHandednessHint(pfParaSurface* surf);
     void	   pfParaSurfaceInsertTrimCurve(pfParaSurface* surf,
		     int loopNum, pfCurve2d *c, pfDisCurve2d *d);
     void	   pfParaSurfaceAddTrimCurve(pfParaSurface* surf, int loopNum,
		     pfCurve2d *c, pfDisCurve2d *d);
     void	   pfParaSurfaceTrimLoopClosed(pfParaSurface* surf,
		     int loopNum, pfLoop closed);
     void	   pfParaSurfaceEvalPt(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 pnt);
     void	   pfParaSurfaceEvalDu(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 Du);
     void	   pfParaSurfaceEvalDv(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 Dv);
     void	   pfParaSurfaceEvalDuu(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 Duu);
     void	   pfParaSurfaceEvalDvv(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 Dvv);
     void	   pfParaSurfaceEvalDuv(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 Duv);
     void	   pfParaSurfaceEvalNorm(pfParaSurface* surf, pfReal u,
		     pfReal v, pfVec3 norm);
     void	   pfParaSurfaceEvalD(pfParaSurface* surf, pfReal u, pfReal v,
		     pfReal theta, pfVec3 D);
     void	   pfParaSurfaceEvalDD(pfParaSurface* surf, pfReal u,
		     pfReal v, pfReal theta, pfVec3 DD);
     int	   pfParaSurfaceGState(pfParaSurface* surf,
		     pfGeoState *gState);
     pfGeoState*   pfGetParaSurfaceGState(pfParaSurface* surf);
     void	   pfParaSurfaceClearTessellation(pfParaSurface* surf);

     Since the class pfParaSurface is itself derived from the parent class
     pfGeode, objects of class pfNurbSurfaceSurface can also be used with
     these functions designed for objects of class pfGeode.

     void   pfRepOrigin(pfRep *rep, const pfVec3 origin);
     void   pfRepOrient(pfRep *rep, const pfMatrix mat);
     void   pfGetRepOrigin(pfRep *rep, pfVec3* origin);
     void   pfGetRepOrient(pfRep *rep, pfMatrix *mat);

     Since the class pfGeode is itself derived from the parent class pfGeode,
     objects of class pfNurbSurfaceSurface can also be used with these
     functions designed for objects of class pfGeode.

     int	  pfAddGSet(pfGeode* geode, pfGeoSet* gset);
     int	  pfRemoveGSet(pfGeode* geode, pfGeoSet* gset);
     int	  pfInsertGSet(pfGeode* geode, int index, pfGeoSet* gset);
     int	  pfReplaceGSet(pfGeode* geode, pfGeoSet* old, pfGeoSet* new);
     pfGeoSet *	  pfGetGSet(const pfGeode* geode, int index);

									Page 3

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     int	  pfGetNumGSets(const pfGeode* geode);

     Since the class pfGeode is itself derived from the parent class pfNode,
     objects of class pfNurbSurfaceSurface can also be used with these
     functions designed for objects of class pfNode.

     pfGroup *	    pfGetParent(const pfNode *node, int i);
     int	    pfGetNumParents(const pfNode *node);
     void	    pfNodeBSphere(pfNode *node, pfSphere *bsph, int mode);
     int	    pfGetNodeBSphere(pfNode *node, pfSphere *bsph);
     pfNode*	    pfClone(pfNode *node, int mode);
     pfNode*	    pfBufferClone(pfNode *node, int mode, pfBuffer *buf);
     int	    pfFlatten(pfNode *node, int mode);
     int	    pfNodeName(pfNode *node, const char *name);
     const char *   pfGetNodeName(const pfNode *node);
     pfNode*	    pfFindNode(pfNode *node, const char *pathName,
		      pfType *type);
     pfNode*	    pfLookupNode(const char *name, pfType* type);
     int	    pfNodeIsectSegs(pfNode *node, pfSegSet *segSet,
		      pfHit **hits[]);
     void	    pfNodeTravMask(pfNode *node, int which, uint mask,
		      int setMode, int bitOp);
     uint	    pfGetNodeTravMask(const pfNode *node, int which);
     void	    pfNodeTravFuncs(pfNode* node, int which,
		      pfNodeTravFuncType pre, pfNodeTravFuncType post);
     void	    pfGetNodeTravFuncs(const pfNode* node, int which,
		      pfNodeTravFuncType *pre, pfNodeTravFuncType *post);
     void	    pfNodeTravData(pfNode *node, int which, void *data);
     void *	    pfGetNodeTravData(const pfNode *node, int which);
     void	    pfNodeTravMode(pfNode* node, int which, int mode,
		      int val);
     int	    pfGetNodeTravMode(const pfNode* node, int which,
		      int mode);

     Since the class pfNode is itself derived from the parent class pfObject,
     objects of class pfNurbSurfaceSurface can also be used with these
     functions designed for objects of class pfObject.

     void	   pfUserDataSlot(pfObject *obj, int slot, void *data);
     void	   pfUserData(pfObject *obj, void *data);
     void*	   pfGetUserDataSlot(pfObject *obj, int slot);
     void*	   pfGetUserData(pfObject *obj);
     int	   pfGetNumUserData(pfObject *obj);
     int	   pfGetNamedUserDataSlot(const char *name);
     const char*   pfGetUserDataSlotName(int slot);
     int	   pfGetNumNamedUserDataSlots(void);
     int	   pfDeleteGLHandle(pfObject *obj);

									Page 4

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     Since the class pfObject is itself derived from the parent class
     pfMemory, objects of class pfNurbSurfaceSurface can also be used with
     these functions designed for objects of class pfMemory.

     pfType *	    pfGetType(const void *ptr);
     int	    pfIsOfType(const void *ptr, pfType *type);
     int	    pfIsExactType(const void *ptr, pfType *type);
     const char *   pfGetTypeName(const void *ptr);
     int	    pfRef(void *ptr);
     int	    pfUnref(void *ptr);
     int	    pfUnrefDelete(void *ptr);
     int	    pfUnrefGetRef(void *ptr);
     int	    pfGetRef(const void *ptr);
     int	    pfCopy(void *dst, void *src);
     int	    pfDelete(void *ptr);
     int	    pfIsFluxed(void *ptr);
     int	    pfCompare(const void *ptr1, const void *ptr2);
     void	    pfPrint(const void *ptr, uint which, uint verbose,
		      FILE *file);
     void *	    pfGetArena(void *ptr);

DESCRIPTION
     Defines a Non-Uniform Rational BSpline surface.  The control hull points
     of a Nurb surface are arranged in a 2-dimensional array. To figure out
     the ordering of these control points, notice that the point evaluation
     formula can be expressed as

     P(u,v) = sum_{iu,iv} B_iu(u) B_iv(v) C[iu][iv] / sum_{iu,iv} B_iu(u)
     B_iv(v) W[iu][iv]

     where B_iu(u) are basis functions u along the u-axis, and B_iv(v) are
     basis functions along v-axis, C is the control hull, and W is the
     weights.

     Both the control hull and the weight are two-dimensional arrays:  The
     number of control points along u-axis is equal to number_of_u_knots -
     uorder, and the number of control points along v-axis is equal to
     number_of_v_knots - vorder.

     pfGetNurbSurfaceSurfaceClassType returns the pfType* for the class
     pfNurbSurfaceSurface.  The pfType* returned by
     pfGetNurbSurfaceSurfaceClassType is the same as the pfType* returned by
     invoking pfGetType on any instance of class pfNurbSurfaceSurface.
     Because OpenGL Performer allows subclassing of built-in types, when
     decisions are made based on the type of an object, it is usually better
     to use pfIsOfType to test if an object is of a type derived from a
     Performer type rather than to test for strict equality of the pfType*'s.

     pfNewNurbSurface creates an instance of pfNurbSurfaceSurface but sets no
     valid data.

									Page 5

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     pfNurbSurfaceControlHull Sets the (iu,iv)'th point of the control hull to
     be p.  This control point corresponds to basis pair B_iu(u) and B_iv(v).
     The weight is set to 1.0 if it has't been set yet.

     pfNurbSurfaceControlHull4 Sets the (iu,iv)'th point of the control hull
     to p[0..2], and the weight to p[3].  This control point and weight
     correspond to basis pair B_iu(u) and B_iv(v).

     PfNurbSurfaceWeight Sets the (iu,iv)'th weight to be w.  This weight
     corresponds to basis pair B_iu(u) and B_iv(v).

     pfNurbSurfaceUknot Sets the iu'th u-knot value to be u.

     pfNurbSurfaceVknot Sets the iv'th vknot value to be v.

     pfNurbSurfaceControlHullUSize A hint on the number of control points
     along the u-direction.  It is used only as a hint for dynamically
     allocating space for the arrays control hull and  the weight. The
     correctness of this number is not critical.

     pfNurbSurfaceControlHullVSize A hint on the number of control points
     along the v-direction.  It is used only as a hint for dynamically
     allocating space for the arrays control hull and  the weight. The
     correctness of this number is not critical.

     pfGetNurbSurfaceControlHull Returns the (iu,iv)'th control point that
     corresponds to basis B_iu(u) and B_iv(v).

     pfGetNurbSurfaceControlHullUSize Returns the number of control points
     along each u direction (v=constant).

     pfGetNurbSurfaceControlHullVSize Returns the number of control points
     along each v direction (u=constant).

     pfGetNurbSurfaceWeight Returns the (iu,iv)'th weight value which
     corresponds to basis B_iu(u) and B_iv(v).

     pfGetNurbSurfaceUknot Returns the iu'th u-knot value.

     pfGetNurbSurfaceVknot Returns the iv'th v-knot value.

     pfGetNurbSurfaceUknotCount Returns the number of u-knot  values.

     pfGetNurbSurfaceVknotCount Returns the number of v-knot  values.

     pfGetNurbSurfaceUorder Returns the order of basis functions along u-
     direction.

     pfGetNurbSurfaceVorder Returns the order of basis functions along v-

									Page 6

pfNurbSurface(3pf)		OpenGL Performer 3.2.2 libpf C Reference Pages

     direction.

     pfRemoveControlHullElmNurbSurface Removes the control hull element (iu,
     iv), and the weight (iu, iv).  If iu is the last u-element of the iv row
     then the iv row is removed.  Weights are treated similarly.  The length
     of the control hull and the weights are changed accordingly, but the
     space allocated for control hull and weights is not modified.

     pfRemoveUknotNurbSurface Removes the iu_th u-knot.	 The u-knot length
     decreases by one, but the total space allocated for u-knots remains the
     same.

     pfRemoveVknotNurbSurface Removes the iv_th v-knot.	 The v-knot length
     decreases by one, but the total space allocated for v-knots remains the
     same.

     LcpfFlipUVNurbSurface Transposes the U and V coordinate system, control
     points and trim curves appropriately.

SEE ALSO
     pfRep, pfGeode, pfParaSurface

									Page 7

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