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 #ifndef SHAPETRIANGHPP
 #define SHAPETRIANGHPP

 #include "tpztriangle.h"
 #include "pzshtmat.h"

 namespace pzshape {

                 class TPZShapeTriang : public pztopology::TPZTriangle {

                 public:

                                 static void Shape(TPZVec<REAL> &pt, TPZVec<int64_t> &id, TPZVec<int> &order,
                                                                                                   TPZFMatrix<REAL> &phi,TPZFMatrix<REAL> &dphi);

                                 static void SideShape(int side, TPZVec<REAL> &pt, TPZVec<int64_t> &id, TPZVec<int> &order,
                                                                                                                   TPZFMatrix<REAL> &phi,TPZFMatrix<REAL> &dphi);

         static void ShapeOrder(TPZVec<int64_t> &id, TPZVec<int> &order, TPZGenMatrix<int> &shapeorders);//, TPZVec<int64_t> &sides

         static void SideShapeOrder(int side,  TPZVec<int64_t> &id, int order, TPZGenMatrix<int> &shapeorders);


                                 static void ShapeCorner(TPZVec<REAL> &pt, TPZFMatrix<REAL> &phi, TPZFMatrix<REAL> &dphi);

                                 static void ShapeGenerating(TPZVec<REAL> &pt, TPZFMatrix<REAL> &phi, TPZFMatrix<REAL> &dphi);

                                 static void ShapeInternal(TPZVec<REAL> &x, int order,TPZFMatrix<REAL> &phi,TPZFMatrix<REAL> &dphi,int triangle_transformation_index);


         static void ShapeInternal(TPZVec<REAL> &x, int order,TPZFMatrix<REAL> &phi,TPZFMatrix<REAL> &dphi);


                                 static void ProjectPoint2dTriangToRib(int rib, TPZVec<REAL> &in, REAL &out);


                                 static void TransformDerivativeFromRibToTriang(int rib,int num,TPZFMatrix<REAL> &dphi);

                                 static int GetTransformId2dT(TPZVec<int64_t> &id);

                                 static void TransformPoint2dT(int transid, TPZVec<REAL> &in, TPZVec<REAL> &out);

                                 static void TransformDerivative2dT(int transid, int num, TPZFMatrix<REAL> &in);

                                 static REAL gTrans2dT[6][2][2];

                                 static REAL gVet2dT[6][2];
                                 static REAL gRibTrans2dT1d[3][2];
                                 static REAL gVet1dT[3];

                                 static int NConnectShapeF(int side, int order);

                                 static int NShapeF(TPZVec<int> &order);
         static TPZTransform<REAL>  ParametricTransform(int trans_id);
         static void ShapeInternal(int side, TPZVec<REAL> &x, int order,
                                            TPZFMatrix<REAL> &phi, TPZFMatrix<REAL> &dphi);

                 };

 };

 #endif
pzshape::TPZShapeTriang::ProjectPoint2dTriangToRib
static void ProjectPoint2dTriangToRib(int rib, TPZVec< REAL > &in, REAL &out)
Projects a point from the interior of the element to a rib.
Definition: pzshapetriang.cpp:356

pztopology::TPZTriangle
Defines the topology of a triangle element. Topology Sides 0 to 2 are vertices, sides 3 to 5 are line...
Definition: tpztriangle.h:35

pzshape::TPZShapeTriang::gTrans2dT
static REAL gTrans2dT[6][2][2]
Data structure which defines the triangle transformations.
Definition: pzshapetriang.h:141

pzshape
groups all classes dedicated to the computation of shape functions
Definition: pzshapeextend.h:16

TPZVec< REAL >

pzshape::TPZShapeTriang::ShapeCorner
static void ShapeCorner(TPZVec< REAL > &pt, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
Computes the corner shape functions for a triangular element.
Definition: pzshapetriang.cpp:35

pzshape::TPZShapeTriang::NShapeF
static int NShapeF(TPZVec< int > &order)
Total number of shapefunctions, considering the order of interpolation of the element.
Definition: pzshapetriang.cpp:442

pzshape::TPZShapeTriang::ShapeOrder
static void ShapeOrder(TPZVec< int64_t > &id, TPZVec< int > &order, TPZGenMatrix< int > &shapeorders)
returns the polynomial order in the natural ksi, eta of the side associated with each shapefunction ...
Definition: pzshapetriang.cpp:159

pzshape::TPZShapeTriang::gVet2dT
static REAL gVet2dT[6][2]
Data structure which defines the triangle transformations.
Definition: pzshapetriang.h:144

tpztriangle.h
Contains the TPZTriangle class which defines the topology of a triangle.

pzshape::TPZShapeTriang::ShapeGenerating
static void ShapeGenerating(TPZVec< REAL > &pt, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
Computes the generating shape functions for a quadrilateral element.
Definition: pzshapetriang.cpp:54

pzshape::TPZShapeTriang::TransformDerivativeFromRibToTriang
static void TransformDerivativeFromRibToTriang(int rib, int num, TPZFMatrix< REAL > &dphi)
Transforms the derivative of a shapefunction computed on the rib into the two dimensional derivative ...
Definition: pzshapetriang.cpp:373

pzshape::TPZShapeTriang::gRibTrans2dT1d
static REAL gRibTrans2dT1d[3][2]
Data structure which defines the triangle transformations.
Definition: pzshapetriang.h:146

pzshape::TPZShapeTriang::TransformPoint2dT
static void TransformPoint2dT(int transid, TPZVec< REAL > &in, TPZVec< REAL > &out)
Transform the coordinates of the point in the space of the triangle master element based on the trans...
Definition: pzshapetriang.cpp:406

pzshape::TPZShapeTriang
Implements the shape functions of a triangular (2D) element. Shape.
Definition: pzshapetriang.h:23

TPZGenMatrix
Implements generic class which holds a matrix of objects. Matrix.
Definition: pzshtmat.h:18

TPZFMatrix< REAL >

pzshape::TPZShapeTriang::SideShapeOrder
static void SideShapeOrder(int side, TPZVec< int64_t > &id, int order, TPZGenMatrix< int > &shapeorders)
returns the polynomial order in the natural ksi, eta of the internal shapefunctions of a side ...
Definition: pzshapetriang.cpp:209

pzshape::TPZShapeTriang::ParametricTransform
static TPZTransform< REAL > ParametricTransform(int trans_id)
Definition: pzshapetriang.cpp:361

pzshape::TPZShapeTriang::GetTransformId2dT
static int GetTransformId2dT(TPZVec< int64_t > &id)
Method which identifies the triangular transformation based on the IDs of the corner nodes...
Definition: pzshapetriang.cpp:382

pzshape::TPZShapeTriang::NConnectShapeF
static int NConnectShapeF(int side, int order)
Number of shapefunctions of the connect associated with the side, considering the order of interpolat...
Definition: pzshapetriang.cpp:424

pzshape::TPZShapeTriang::gVet1dT
static REAL gVet1dT[3]
Data structure which defines the triangle transformations.
Definition: pzshapetriang.h:148

pzshape::TPZShapeTriang::ShapeInternal
static void ShapeInternal(TPZVec< REAL > &x, int order, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, int triangle_transformation_index)
Compute the internal functions of the triangle shape function at a point.
Definition: pzshapetriang.cpp:286

pzshape::TPZShapeTriang::TransformDerivative2dT
static void TransformDerivative2dT(int transid, int num, TPZFMatrix< REAL > &in)
Transform the derivatives of num shapefunctions in place for a triangle.
Definition: pzshapetriang.cpp:412

pzshape::TPZShapeTriang::Shape
static void Shape(TPZVec< REAL > &pt, TPZVec< int64_t > &id, TPZVec< int > &order, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
Computes the values of the shape functions and their derivatives for a triangular element...
Definition: pzshapetriang.cpp:84

pzshape::TPZShapeTriang::SideShape
static void SideShape(int side, TPZVec< REAL > &pt, TPZVec< int64_t > &id, TPZVec< int > &order, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
Definition: pzshapetriang.cpp:146

pzshtmat.h
Contains TPZGenMatrix class which implements generic class which holds a matrix of objects...

TPZTransform
Implements an affine transformation between points in parameter space. Topology Utility.
Definition: pzmganalysis.h:14