tpzcube.h

Go to the documentation of this file.

#ifndef PZTOPOLOGYTPZCUBE_H
#define PZTOPOLOGYTPZCUBE_H


#include "pzfmatrix.h"
#include "pzstack.h"
#include "pztrnsform.h"
#include "pzeltype.h"
#include "pznumeric.h"
#include "pzaxestools.h"

#ifdef _AUTODIFF
#include "fadType.h"
#endif

class TPZIntPoints;
class TPZIntCube3D;
class TPZGraphElQ3dd;

class TPZCompEl;
class TPZGeoEl;
class TPZCompMesh;
#include "TPZTopologyUtils.h"
namespace pztopology {
                class TPZCube : public TPZSavable {
                public:
        friend void pztopology::GetPermutation<TPZCube>(const int permute, TPZVec<int> &permutation);
                                enum {NSides = 27, NCornerNodes = 8, Dimension = 3, NFaces = 6, NPermutations = 48};
                                
                int ClassId() const override;
                void Read(TPZStream &buf, void *context) override;
                void Write(TPZStream &buf, int withclassid) const override;
                
        TPZCube() : TPZRegisterClassId(&TPZCube::ClassId) {
                                }
                                
                                virtual ~TPZCube() {
                                }
                                
                                static int SideDimension(int side);
                                
                                static void LowerDimensionSides(int side,TPZStack<int> &smallsides);
                                static void LowerDimensionSides(int side,TPZStack<int> &smallsides, int DimTarget);
                                
                                static void HigherDimensionSides(int side, TPZStack<int> &high);
                                
                                static int NSideNodes(int side);
                                static int SideNodeLocId(int side, int node);

                                static int NumSides();
                                static int NumSides(int dimension);
                                
                                static int NContainedSides(int side);
                                static int ContainedSideLocId(int side, int c);

        static void Shape(TPZVec<REAL> &loc,TPZFMatrix<REAL> &phi,TPZFMatrix<REAL> &dphi){
            TShape(loc, phi, dphi);
        }
        template<class T>
        static void TShape(const TPZVec<T> &loc,TPZFMatrix<T> &phi,TPZFMatrix<T> &dphi);
        template<class T>
        static void BlendFactorForSide(const int &side, const TPZVec<T> &xi, T &blendFactor,
                                      TPZVec<T> &corrFactorDxi);
                                static void CenterPoint(int side, TPZVec<REAL> &center);

        static bool IsInParametricDomain(const TPZVec<REAL> &pt, REAL tol = pztopology::gTolerance);

        #ifdef _AUTODIFF

        static bool IsInParametricDomain(const TPZVec<Fad<REAL>> &pt, REAL tol = pztopology::gTolerance){
            TPZVec<REAL> xi(pt.size());
            for(int i = 0; i < pt.size(); i++) xi[i]= pt[i].val();
            return IsInParametricDomain(xi,tol);
        }
        #endif
        
        static void RandomPoint(TPZVec<REAL> &pt);

        template<class T>
        static bool CheckProjectionForSingularity(const int &side, const TPZVec<T> &xiInterior);

        template<class T>
        static void MapToSide(int side, TPZVec<T> &InternalPar, TPZVec<T> &SidePar, TPZFMatrix<T> &JacToSide);
        
        static void ParametricDomainNodeCoord(int node, TPZVec<REAL> &nodeCoord);
                                
                                static MElementType Type();// { return ECube;}
                                
                                static MElementType Type(int side);
                                
                                static TPZTransform<> SideToSideTransform(int sidefrom, int sideto);

                                static TPZTransform<> TransformSideToElement(int side);
                                static TPZTransform<> TransformElementToSide(int side);
                                
                                static int GetTransformId(TPZVec<int64_t> &id);
                                
                                static int GetTransformId(int side, TPZVec<int64_t> &id);

                                static TPZIntPoints *CreateSideIntegrationRule(int side, int order);
                                
                                typedef TPZIntCube3D IntruleType;
                                typedef TPZGraphElQ3dd GraphElType;

                                static void GetSideHDivPermutation(int transformationid, TPZVec<int> &permgather);

                                static constexpr REAL RefElVolume(){return 8.0;}
        
        /* Given side and gradx the method returns directions needed for Hdiv space */
        static void ComputeDirections(int side, TPZFMatrix<REAL> &gradx, TPZFMatrix<REAL> &directions, TPZVec<int> &sidevectors);
        
        template <class TVar>
        static void ComputeHDivDirections(TPZFMatrix<TVar> &gradx, TPZFMatrix<TVar> &directions);
        
        static void GetSideHDivDirections(TPZVec<int> &sides, TPZVec<int> &dir, TPZVec<int> &bilinearounao);
        
        static void GetSideHDivDirections(TPZVec<int> &sides, TPZVec<int> &dir, TPZVec<int> &bilinearounao, TPZVec<int> &sidevectors);

        template <class TVar>
        static void ComputeHCurlDirections(TPZFMatrix<TVar> &gradx, TPZFMatrix<TVar> &directions, const TPZVec<int> &transformationIds);
        static int NBilinearSides();
        
        static int FaceNodes[6][4]; //protected
        
        
        static int SideNodes[12][2]; //PROTECTED
                
                protected:
                                static int ShapeFaceId[6][2];

        static int fPermutations[48][27];

                };
                
}

#endif