tpztriangle.h

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#ifndef PZTOPOLOGYTPZTRIANGLE_H
#define PZTOPOLOGYTPZTRIANGLE_H

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

#include "TPZTopologyUtils.h"

class TPZIntPoints;
class TPZGraphElTd;
class TPZIntTriang;
class TPZGraphElT2dMapped;

class TPZCompEl;
class TPZGeoEl;
class TPZCompMesh;

namespace pztopology {
                class TPZTriangle : public TPZSavable{
                public:
        friend void pztopology::GetPermutation<TPZTriangle>(const int permute, TPZVec<int> &permutation);
                                enum {NSides = 7, NCornerNodes= 3, Dimension = 2, NFaces = 3, NPermutations = 6};
                                
            int ClassId() const override;
            void Read(TPZStream &buf, void *context) override;
            void Write(TPZStream &buf, int withclassid) const override;

        TPZTriangle() : TPZRegisterClassId(&TPZTriangle::ClassId){
                                };
                                
                                virtual ~TPZTriangle(){
                                };
                                
                                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);
                                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
        #ifdef _AUTODIFF
        template<typename T,
                typename std::enable_if<std::is_same<T,Fad<REAL>>::value>::type* = nullptr>
        static bool IsInParametricDomain(const TPZVec<T> &pt, REAL tol){
            TPZVec<REAL> qsiReal(pt.size(),-1);
            for(int i = 0; i < qsiReal.size(); i++) qsiReal[i] = pt[i].val();
            return IsInParametricDomain(qsiReal,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 ETriangle;}
                                
                                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 void GetHDivGatherPermute(int transformid, TPZVec<int> &permute);

                                static TPZIntPoints * CreateSideIntegrationRule(int side, int order);
                                
                                typedef TPZIntTriang IntruleType;
                                typedef TPZGraphElT2dMapped GraphElType;

                                static void GetSideHDivPermutation(int transformationid, TPZVec<int> &permgather);
                                
                                static constexpr REAL RefElVolume() { return 0.5L; }
        
        /* 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);
        
        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 ComputeHDivDirections(TPZFMatrix<TVar> &gradx, TPZFMatrix<TVar> &directions);

        template <class TVar>
        static void ComputeHCurlDirections(TPZFMatrix<TVar> &gradx, TPZFMatrix<TVar> &directions, const TPZVec<int> &transformationIds);

        template <class TVar>
        static void ComputeHCurlFaceDirections(TPZVec<TVar> &v1, TPZVec<TVar> &v2, int transformationId);
        

        static int NBilinearSides();
        
        static int SideNodes[3][2];
        static int FaceNodes[1][3];
        static REAL gTrans2dT[6][2][2] ;
       

                protected:
        static int fPermutations [6][7];
        static REAL fTangentVectors [12][2];
    };
                
}

#endif