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PolyGeom.H

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/* _______              __
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//
// This software is copyright (C) by the Lawrence Berkeley
// National Laboratory.  Permission is granted to reproduce
// this software for non-commercial purposes provided that
// this notice is left intact.
// 
// It is acknowledged that the U.S. Government has rights to
// this software under Contract DE-AC03-765F00098 between
// the U.S.  Department of Energy and the University of
// California.
//
// This software is provided as a professional and academic
// contribution for joint exchange. Thus it is experimental,
// is provided ``as is'', with no warranties of any kind
// whatsoever, no support, no promise of updates, or printed
// documentation. By using this software, you acknowledge
// that the Lawrence Berkeley National Laboratory and
// Regents of the University of California shall have no
// liability with respect to the infringement of other
// copyrights by any part of this software.
//
//  ANAG, LBNL

#ifndef _PolyGeom_H_
#define _PolyGeom_H_

#include "REAL.H"
#include "RealVect.H"
#include "Tuple.H"
#include "Vector.H"


class EBISBox;

class PolyGeom
{
public:


  static void setTolerance(const Real& a_tolerance);


  static void setVectDx(const RealVect& a_vectDx);


  static void setVolumeTolerance(const Real& a_tolerance);


  static void setAreaTolerance(const Real& a_tolerance);


  static void setLengthTolerance(const Real& a_tolerance);


  static RealVect cross(const RealVect& a_xvec1,
                        const RealVect& a_xvec0);


  static Real dot(const RealVect& a_xvec1,
                  const RealVect& a_xvec0);
    

  static const Real& getTolerance();


  static const RealVect& getVectDx();


  static const Real& getVolumeTolerance();


  static const Real& getAreaTolerance();



  static const Real& getLengthTolerance();



  static RealVect normal(const VolIndex& a_vof, 
                         const EBISBox& a_ebisBox,
                         const Real& a_bndryArea);


  static Real bndryArea(const VolIndex& a_vof,
                        const EBISBox& a_ebisBox);


  static Real computeAlpha(const Real& a_volFrac,
                           const RealVect& a_normal);



  static Real computeVolume(const Real& a_alpha,
                            const RealVect& a_normal);


  static void computeNormalAndAlpha(Real& a_alpha,
                                    RealVect& a_normal,
                                    const int& a_upDir,
                                    const Tuple<RealVect, CH_SPACEDIM>& a_poly);

  // solve ax = b (gives icomp component of x using cramers rule).
  static Real 
  matrixSolveComp(const Vector<Vector<Real> >& a_A,
                  const  Vector<Real>& a_rhs,
                  const int& a_icomp);


  //return the determinant of a
  static Real 
  determinant(const Vector< Vector<Real> >& a_A);

  static Real sAndZVolume(const Real& a_alpha,
                          const RealVect& a_normal);
                          
                          

  PolyGeom()
  {;}
  ~PolyGeom()
  {;}


  static void sortVector(RealVect& vect, IntVect& ivmap);

  static void posifyVector(RealVect& vect, IntVect& signs);

  static void unifyVector(RealVect& normal, Real& sumSquare);

  static Tuple<int, CH_SPACEDIM-1> computeTanDirs(int upDir);

protected:

  static Real   twoDFunc(const Real& arg);
  static Real threeDFunc(const Real& arg);

  static Real computeAnyVolume(const Real& a_alpha,
                               const Real& a_norm0,
                               const Real& a_norm1,
                               const Real& a_norm2);

  static RealVect s_vectDx;

  static Real s_tolerance;

  static Real s_lengthtolerance;

  static Real s_areatolerance;

  static RealVect tetCentroid(const RealVect& normal,
                              const Real& alpha);
                              
  static Real tetVolume(const RealVect& normal,
                        const Real& alpha);
                              

private:
};

#endif

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