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

NAME
     pfPieceWisePolySurface - A piecewise polynomial surface

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

     static pfType *   pfPieceWisePolySurface::getClassType(void);

		       pfPieceWisePolySurface::pfPieceWisePolySurface();

     void	       pfPieceWisePolySurface::setControlHull(int patchu,
			 int patchv, int iu, int iv, const pfVec3 *p);

     pfVec3 *	       pfPieceWisePolySurface::getControlHull(int patchu,
			 int patchv, int iu, int iv);

     int	       pfPieceWisePolySurface::getUpatchCount();

     int	       pfPieceWisePolySurface::getVpatchCount();

     int	       pfPieceWisePolySurface::getUorder(int patchu,
			 int patchv);

     int	       pfPieceWisePolySurface::getVorder(int patchu,
			 int patchv);

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

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

     virtual void      pfPieceWisePolySurface::evalDuu(pfReal u, pfReal v,
			 pfVec3 &Duu);

     virtual void      pfPieceWisePolySurface::evalDvv(pfReal u, pfReal v,
			 pfVec3 &Du);

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

PARENT CLASS FUNCTIONS
     The OpenGL Performer class pfPieceWisePolySurface is derived from the
     parent class pfParaSurface, so each of these member functions of class
     pfParaSurface are also directly usable with objects of class
     pfPieceWisePolySurface.  This is also true for ancestor classes of class
     pfParaSurface.

     void	   pfParaSurface::setBeginU(pfReal u);
     void	   pfParaSurface::setEndU(pfReal u);

									Page 1

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

     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);
     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 pfPieceWisePolySurface 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);

									Page 2

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

     Since the class pfGeode is itself derived from the parent class pfGeode,
     objects of class pfPieceWisePolySurface 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 pfPieceWisePolySurface 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);
     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 pfPieceWisePolySurface 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);

									Page 3

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

     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 pfPieceWisePolySurface 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();
     int	    pfMemory::getSize();

DESCRIPTION
     A piecewise polynomial surface consists of a rectangular array of
     patches. Each patch is a polynomial mapping from UV plane to XYZ space
     where the domain is always [0,1] X [0,1]. Suppose there are nu patches
     along u direction and nv patches along v direction, the total number of
     patches is nu*nv.

     Notice that an pfPieceWisePolySurface is a subclass of pfParaSurface. The
     domain of a pfPieceWisePolySurface is defined to be [0, nu] X [0, nv].
     For any given (u,v) is [0, nu]X[0,nv], its corresponding xyz is evaluated
     in the following way:  The patch index that corresponds to (u,v) is
     (floor(u), floor(v)), and the polynomial of that patch is evaluated at
     (u-floor(u), v-floor(v)) to get the (x,y,z).

     You set the coefficients by setControlHull(patchu, patchv, i,j, Cij).
     Here, pfVec3 Cij is the (i'th, j'th) entry of the controlHull of a
     specific patch. If you don't set a certain entry, that entry is treated
     as a zero vector. The value at parametric coordinates (u,v) is calculated
     as the following:

     pfVec3 result = (C00 + C01*v + C02*v^2 + ...)     +
     (C10 + C11*v + C12*v^2 + ...)*u   +
     (C20 + C21*v + C22*v^2 + ...)*u^2 +

									Page 4

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

     For example, you want a surface with x=v, y=v^2 and z=2uv+3, then
     C00 = (0,0,3); only z has a constant 3 item
     C01 = (1,0,0); only x=v has a v item
     C02 = (0,1,0); only y=v^2 has a v^2 item
     C10 = (0,0,0); no u item
     C11 = (0,0,2); z has 2uv
     All other Cij are zeros.

     pfPieceWisePolySurface::getClassType returns the pfType* for the class
     pfPieceWisePolySurface.  The pfType* returned by
     pfPieceWisePolySurface::getClassType is the same as the pfType* returned
     by invoking the virtual function getType on any instance of class
     pfPieceWisePolySurface.  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.

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

     pfPieceWisePolySurface::setControlHull set the iu iv coefficient of the
     patchu patchv polynomial to p.  patchu and patchv are clamped if they are
     greater than nu and nv respectively.

     pfPieceWisePolySurface::getControlHull Returns the iu iv coefficient of
     the patchu patchv polynomial.  No check are made to see if patchu patchv
     are in the valid range.

     pfPieceWisePolySurface::getUpatchCount Returns the number of intervals in
     the u direction.

     pfPieceWisePolySurface::getVpatchCount Returns the number of intervals in
     the v direction.

     pfPieceWisePolySurface::getUorder Returns the order of u in the patchu
     patchv polynomial.

     pfPieceWisePolySurface::getVorder Returns the order of v in the
     patchupatchv polynomial.  pfPieceWisePolySurface::evalPt Evaluates the
     surface at point u v, and returns the result in pnt.  The values of u v
     are clamped to fit within the defined interval.

     pfPieceWisePolySurface::evalDu Calculates the u derivative of the surface
     at the point u v and returns the result in Du.  The values of u v are
     clamped to fit within the defined interval.

     pfPieceWisePolySurface::evalDv Calculates the v derivative of the surface
     at the point u v and returns the result in Dv.  The values of u v are
     clamped to fit within the defined interval.

     pfPieceWisePolySurface::evalDuu Calculates the second order u derivative

									Page 5

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

     of the surface at the point u v and returns the result in Duu.  The
     values of u v are clamped to fit within the defined interval.

     pfPieceWisePolySurface::evalDvv Calculates the second v derivative of the
     surface at the point u v and returns the result in Dvv.  The values of u
     v are clamped to fit within the defined interval.

SEE ALSO
     pfRep, pfGeode, pfParaSurface

									Page 6

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