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

NAME
     pfNurbSurface - NURB surface

FUNCTION SPECIFICATION
     #include <Performer/pf/pfNurbSurface.h>

     static pfType *   pfNurbSurface::getClassType(void);

		       pfNurbSurface::pfNurbSurfaceSurface();

     void	       pfNurbSurface::setControlHull(int iu, int iv,
			 const pfVec3& p);

     void	       pfNurbSurface::setControlHull(int iu, int iv,
			 const pfVec4& p);

     void	       pfNurbSurface::setWeight(int iu, int iv, pfReal w);

     void	       pfNurbSurface::setUknot(int iu, pfReal u);

     void	       pfNurbSurface::setVknot(int iv, pfReal v);

     void	       pfNurbSurface::setControlHullUSize(int s);

     void	       pfNurbSurface::setControlHullVSize(int s);

     const pfVec3*     pfNurbSurface::getControlHull(int iu, int iv);

     int	       pfNurbSurface::getControlHullUSize();

     int	       pfNurbSurface::getControlHullVSize();

     pfReal	       pfNurbSurface::getWeight(int iu, int iv);

     pfReal&	       pfNurbSurface::getUknot(int iu);

     pfReal&	       pfNurbSurface::getVknot(int iv);

     int	       pfNurbSurface::getUknotCount();

     int	       pfNurbSurface::getVknotCount();

     int	       pfNurbSurface::getUorder();

     int	       pfNurbSurface::getVorder();

     void	       pfNurbSurface::removeControlHullElm(int iu, int iv);

     void	       pfNurbSurface::removeUknot(int iu);

									Page 1

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

     void	       pfNurbSurface::removeVknot(int iv);

     void	       pfNurbSurface::flipUV();

     virtual void      pfNurbSurface::evalPt(pfReal u, pfReal v, pfVec3 &pnt);

     virtual void      pfNurbSurface::evalDu(pfReal u, pfReal v, pfVec3 &Du);

     virtual void      pfNurbSurface::evalDv(pfReal u, pfReal v, pfVec3 &Du);

     virtual void      pfNurbSurface::evalNorm(pfReal u, pfReal v,
			 pfVec3 &norm);

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.  This is also true for ancestor classes of class
     pfParaSurface.

     void	   pfParaSurface::setBeginU(pfReal u);
     void	   pfParaSurface::setEndU(pfReal u);
     void	   pfParaSurface::setBeginV(pfReal v);
     void	   pfParaSurface::setEndV(pfReal v);
     void	   pfParaSurface::setSolidId(int solidId);
     void	   pfParaSurface::setTopoId(int topoId);
     void	   pfParaSurface::setSurfaceId(int surfaceId);
     pfReal	   pfParaSurface::getBeginU(pfParaSurface* surf);
     pfReal	   pfParaSurface::getEndU(pfParaSurface* surf);
     pfReal	   pfParaSurface::getBeginV(pfParaSurface* surf);
     pfReal	   pfParaSurface::getEndV(pfParaSurface* surf);
     int	   pfParaSurface::getTrimLoopCount(pfParaSurface* surf);
     pfLoop	   pfParaSurface::getTrimLoopClosed(int loopNum);
     int	   pfParaSurface::getTrimCurveCount(int loopNum);
     pfEdge*	   pfParaSurface::getTrimCurve(int loopNum, int curveNum);
     pfTopo*	   pfParaSurface::getTopo();
     int	   pfParaSurface::getTopoId();
     int	   pfParaSurface::getSolidId();
     int	   pfParaSurface::getSurfaceId();
     void	   pfParaSurface::getHandednessHint(pfBool _clockWise);
     pfBool	   pfParaSurface::getHandednessHint();
     void	   pfParaSurface::insertTrimCurve(int loopNum, pfCurve2d *c,
		     pfDisCurve2d *d);
     void	   pfParaSurface::addTrimCurve(int loopNum, pfCurve2d *c,
		     pfDisCurve2d *d);
     void	   pfParaSurface::setTrimLoopClosed(int loopNum,
		     pfLoop closed);
     void	   pfParaSurface::evalPt(pfReal u, pfReal v, pfVec3& pnt);
     void	   pfParaSurface::evalDu(pfReal u, pfReal v, pfVec3& Du);
     void	   pfParaSurface::evalDv(pfReal u, pfReal v, pfVec3& Dv);

									Page 2

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

     void	   pfParaSurface::evalDuu(pfReal u, pfReal v, pfVec3& Duu);
     void	   pfParaSurface::evalDvv(pfReal u, pfReal v, pfVec3& Dvv);
     void	   pfParaSurface::evalDuv(pfReal u, pfReal v, pfVec3& Duv);
     void	   pfParaSurface::evalNorm(pfReal u, pfReal v, pfVec3& norm);
     void	   pfParaSurface::evalD(pfReal u, pfReal v, pfReal theta,
		     pfVec3& D);
     void	   pfParaSurface::evalDD(pfReal u, pfReal v, pfReal theta,
		     pfVec3& DD);
     int	   pfParaSurface::setGState(pfGeoState *gState);
     pfGeoState*   pfParaSurface::getGState();
     void	   pfParaSurface::clearTessellation();

     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   pfRep::setOrigin(const pfVec3 *origin);
     void   pfRep::setOrient(const pfMatrix *mat);
     void   pfRep::getOrigin(pfVec3& origin);
     void   pfRep::getOrient(pfMatrix& matrix);

     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	  pfGeode::addGSet(pfGeoSet* gset);
     int	  pfGeode::removeGSet(pfGeoSet* gset);
     int	  pfGeode::insertGSet(int index, pfGeoSet* gset);
     int	  pfGeode::replaceGSet(pfGeoSet* old, pfGeoSet* new);
     pfGeoSet *	  pfGeode::getGSet(int index);
     int	  pfGeode::getNumGSets(void);

     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 *	    pfNode::getParent(int i);
     int	    pfNode::getNumParents(void);
     void	    pfNode::setBound(pfSphere *bsph, int mode);
     int	    pfNode::getBound(pfSphere *bsph);
     pfNode*	    pfNode::clone(int mode);
     pfNode*	    pfNode::bufferClone(int mode, pfBuffer *buf);
     int	    pfNode::flatten(int mode);
     int	    pfNode::setName(const char *name);
     const char *   pfNode::getName(void);
     pfNode*	    pfNode::find(const char *pathName, pfType *type);
     pfNode*	    pfNode::lookup(const char *name, pfType* type);

									Page 3

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

     int	    pfNode::isect(pfSegSet *segSet, pfHit **hits[]);
     void	    pfNode::setTravMask(int which, uint mask, int setMode,
		      int bitOp);
     uint	    pfNode::getTravMask(int which);
     void	    pfNode::setTravFuncs(int which, pfNodeTravFuncType pre,
		      pfNodeTravFuncType post);
     void	    pfNode::getTravFuncs(int which, pfNodeTravFuncType *pre,
		      pfNodeTravFuncType *post);
     void	    pfNode::setTravData(int which, void *data);
     void *	    pfNode::getTravData(int which);
     void	    pfNode::setTravMode(int which, int mode, int val);
     int	    pfNode::getTravMode(int which, int mode) const;

     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*   pfObject::operator new(size_t);
     void*   pfObject::operator new(size_t, pfFluxMemory *fmem);
     void    pfObject::setUserData(void *data);
     void    pfObject::setUserData(int slot, void *data);
     void*   pfObject::getUserData(pfObject *obj);
     void*   pfObject::getUserData(pfObject *obj, int slot);
     int     pfObject::getNumUserData();

     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.

     void*	    pfMemory::getData(const void *ptr);
     pfType *	    pfMemory::getType();
     int	    pfMemory::isOfType(pfType *type);
     int	    pfMemory::isExactType(pfType *type);
     const char *   pfMemory::getTypeName();
     int	    pfMemory::copy(pfMemory *src);
     int	    pfMemory::compare(const pfMemory *mem);
     void	    pfMemory::print(uint which, uint verbose, char *prefix,
		      FILE *file);
     int	    pfMemory::getArena(void *ptr);
     void*	    pfMemory::getArena();
     int	    pfMemory::ref();
     int	    pfMemory::unref();
     int	    pfMemory::unrefDelete();
     int	    pfMemory::unrefGetRef();
     int	    pfMemory::getRef();
     int	    pfMemory::checkDelete();
     int	    pfMemory::isFluxed();
     void *	    pfMemory::getArena();

									Page 4

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

     int	    pfMemory::getSize();

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.

     pfNurbSurfaceSurface::getClassType returns the pfType* for the class
     pfNurbSurfaceSurface.  The pfType* returned by
     pfNurbSurfaceSurface::getClassType is the same as the pfType* returned by
     invoking the virtual function getType 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  the member function isOfType 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.

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

     pfNurbSurface::setControlHull(int iu,int iv,const pfVec3& pt) 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.

     pfNurbSurface::setControlHull(int iu,int iv,const pfVec4& p) 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).

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

     pfNurbSurface::setUknot Sets the iu'th u-knot value to be u.

     pfNurbSurface::setVknot Sets the iv'th vknot value to be v.

									Page 5

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

     pfNurbSurface::setControlHullUSize 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.

     pfNurbSurface::setControlHullVSize 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.

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

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

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

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

     pfNurbSurface::getUknot Returns the iu'th u-knot value.

     pfNurbSurface::getVknot Returns the iv'th v-knot value.

     pfNurbSurface::getUknotCount Returns the number of u-knot	values.

     pfNurbSurface::getVknotCount Returns the number of v-knot	values.

     ::pfNurbSurface::getUorder Returns the order of basis functions along u-
     direction.

     ::pfNurbSurface::getVorder Returns the order of basis functions along v-
     direction.

     pfNurbSurface::removeControlHullElm 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.

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

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

									Page 6

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

     same.

     LcpfFlipUVNurbSurfacepfNurbSurface::flipUV Transposes the U and V
     coordinate system, control points and trim curves appropriately.

     pfNurbSurface::evalPt Evaluates the point in object space at (u,v). The
     result is stored in pnt.

     pfNurbSurface::evalDu Evaluates the partial derivatives of the surface
     with respect to parameter u at (u,v). The result is stored in Du.

     pfNurbSurface::evalDv Evaluates the partial derivatives of the surface
     with respect to parameter v at (u,v). The result is stored in Dv.

     pfNurbSurface::evalNorm Evaluates the surface normal at (u, v). The
     normal is stored in norm.

SEE ALSO
     pfRep, pfGeode, pfParaSurface

									Page 7

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