GU/GU_RayRBezSurf.h

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/*
 * PROPRIETARY INFORMATION.  This software is proprietary to
 * Side Effects Software Inc., and is not to be reproduced,
 * transmitted, or disclosed in any way without written permission.
 *
 * Produced by:
 *      Jeff Lait
 *      Side Effects
 *      477 Richmond Street West
 *      Toronto, Ontario
 *      Canada   M5V 3E7
 *      416-504-9876
 *
 * NAME:        GU library (C++)
 *
 * COMMENTS:    RayIntersect objects handling surfaces.
 *
 */

#ifndef __GU_RayRBezSurf_h__
#define __GU_RayRBezSurf_h__

#include "GU_API.h"
#include <UT/UT_Matrix4.h>
#include <UT/UT_Matrix3.h>
#include <UT/UT_Vector3.h>
#include <UT/UT_Vector4Array.h>
#include <UT/UT_RefMatrix.h>
#include <UT/UT_Matrix.h>
#include <UT/UT_BoundingBox.h>

class GEO_Point;
class GEO_Primitive;
class GU_RayInfo;
class GU_MinInfo;
class GU_RayRBezCurve;
class GU_RayRBezSurf;
class UT_BoundingRect;
class GU_IsectCurveSet;
class GU_IsectCurve;


//
// The actual functional unit of hulls, a single bezier patch.
//
class GU_API GU_RayRBezSurf
{
public:
     GU_RayRBezSurf();
    ~GU_RayRBezSurf();
    void        init(int uOrder, int vOrder, 
                     float uStart, float uLength,
                     float vStart, float vLength, int isRational);

    void        buildBBox();

    // Finds isection of bbox with specified ray
    int         intersectBBox(const UT_Vector3 &org, const UT_Vector3 &dir,
                            float tmax, float tol, float *t);

    // Finds intersection of this surface with ray/primitive.
    int         intersect(const UT_Vector3 &org,
                          const UT_Vector3 &dir,
                          GU_RayInfo &hitInfo, int depth,
                          int noBBoxTest = 0 );
    int         intersectQR(const UT_Vector3 &org,
                          const UT_Vector3 &dir,
                          GU_RayInfo &hitInfo, int depth,
                          int noBBoxTest = 0 );
    int         intersectAP(const UT_Vector3 &org,
                          const UT_Vector3 &dir,
                          GU_RayInfo &hitInfo);
    int         intersect(GU_RayRBezSurf &surf, GU_RayInfo &hitinfo);

    // Finds minimum point of this surface with specifed point/primitive.
    int         minimum(const UT_Vector3 &p,
                          GU_MinInfo &mininfo, int depth,
                          int noBBoxTest = 0 );
    int         minimum(GU_RayRBezSurf &surf, GU_MinInfo &mininfo, 
                        int depth, int noBBoxTest = 0);

    // Finds closest point on the surface to p, returning in u, v.
    // d2 is the resulting distance squared & tol is the maximum allowed.
    int         pointInvert(const UT_Vector3 &p, float &u, float &v,
                            float &d2, float tol);
    // Cut the surface between the specified points, performing operation
    // in place
    void        carveU(float ustart, float uend);
    void        carveV(float vstart, float vend);
    // Split the surface evenly into 4 quadrants.
    void        split(GU_RayRBezSurf *topLeft, 
                      GU_RayRBezSurf *bottomLeft,
                      GU_RayRBezSurf *bottomRight, 
                      GU_RayRBezSurf *topRight) const;
    void        evaluate(float u, float v, UT_Vector3 &pos) const;
    void        evaluateHomogeneous(float u, float v, UT_Vector4 &pos, 
                         UT_Vector4 &derU, UT_Vector4 &derV) const;
    void        evaluate(float u, float v, UT_Vector3 &pos, 
                         UT_Vector3 &derU, UT_Vector3 &derV,
                         UT_Vector3 &derUV,
                         UT_Vector3 &derUU, UT_Vector3 &derVV) const;
    void        sortSubPatches(GU_RayRBezSurf **patches) const;
    void        guessIntersection(const UT_Vector3 &org,
                                  const UT_Vector3 &dir,
                                  float &t, float &u, float &v) const;
    void        guessIntersection(const UT_Vector3 &org,
                                  float &u, float &v) const;

    void        buildImplicit();
private:
    void        buildPowerCoeffs(UT_Matrix &A, int index) const;

    // The logic of all this is surf is intersected with this.  Thus,
    // in the point array the x, y are this' u,v coordinates and
    // z, w are surf's u,v coords.  Also, domain is in terms of
    // surf's space, not this.
    int         domainDecomposition(GU_IsectCurveSet &curveset,
                                    GU_RayRBezSurf &surf, 
                                    const UT_BoundingRect &domain, 
                                    UT_Vector4Array &points,
                                    float intersecttol = 1e-6F, 
                                    float domaintol = 1e-2F, 
                                    float steprate = 1e-2F, int dividedir=0);
    // Returns 0 if successfuly traces from start to finish.  -1 if
    // leaves source or base surface without converging, and -2 if
    // hits a cusp which prevents further travel.  Whatever portion
    // of the curve is generated can be found in isectcurve.
    // If trace fails, one should try again with opposite sign for
    // direction.
    int         traceIsectCurve(GU_IsectCurve &isectcurve, 
                                GU_RayRBezSurf &surf, 
                                const UT_BoundingRect &domain,
                                const UT_Vector4 &start, const UT_Vector4 &end,
                                float tol = 1e-6F, float domaintol = 1e-2F,
                                float steprate = 1.0f/100.0f,
                                int canreverse = 1, int direction = 1);
                                
    // Uses inverse power iterations to reconverge back to the isect
    // curve from u, v by adjusting the v position.
    // Return -1 if converging failed (Use smaller step size!)
    int         polishInV(GU_RayRBezSurf &surf, float u, float v, 
                          float &vresult, float &invu, float &invv,
                          float tol = 1e-4F, int maxiter = 30);
    int         polishInU(GU_RayRBezSurf &surf, float u, float v, 
                          float &uresult, float &invu, float &invv,
                          float tol = 1e-4F, int maxiter = 30);
    int         polishCurve(GU_RayRBezCurve &curve, float &t, 
                          float &invu, float &invv, float tol,
                            int maxiter);
    int         polishCurveSlow(GU_RayRBezCurve &curve, float &t, float tol,
                            int maxiter);

    void        extractUIsoparm(GU_RayRBezCurve &curve, float u) const;
    void        extractVIsoparm(GU_RayRBezCurve &curve, float v) const;

    void        isectEdges(GU_RayRBezSurf &surf, 
                        UT_Vector4Array &pointlist, 
                        float tol = 1e-6F, float ttol = 1e-2F);
    void        isectIsoU(GU_RayRBezSurf &surf, 
                        float u, float vstart, float vend,
                        UT_Vector4Array &pointlist,
                        float tol = 1e-6F, float ttol = 1e-2F, int useAP=1);
    void        isectIsoV(GU_RayRBezSurf &surf, 
                        float v, float ustart, float uend,
                        UT_Vector4Array &pointlist, 
                        float tol = 1e-6F, float ttol = 1e-2F, int useAP=1);

public:
    UT_BoundingBox               myBBox;
    UT_RefMatrix<UT_Vector4>     myCV;
    float                        myUStart, myULength;
    float                        myVStart, myVLength;
    float                        sortValue;
    int                          myRational;
    GU_RayRBezSurf              *myTopLeft, *myBottomLeft;
    GU_RayRBezSurf              *myTopRight, *myBottomRight;

    int                          myImplicitFlag;
    // Is eigenvalues recoverable?
    int                          myEigenVectorCorrect;
    // Coeff arrays are:
    // [a ba b2a ... b(2n-1)a] coeff [y       ]
    //                               [xy      ]
    //                               [...     ]
    //                               [x(2m-1)y]
    // where a = [1 a ... a(m-1)] and
    // y = [1 y ... y(n-1)]
    // and m = udeg, n = vdeg
    // This is only true if they are still the full size matrices!
    // If they have been reduced to eliminate base points, this order
    // is changed in an effectively uninvertable manner.
    UT_Matrix                    myXCoeff, myYCoeff, myZCoeff, myWCoeff;
};


#endif

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