xref: /petsc/include/petscfe.h (revision 6524c165f7ddaf30fd7457737f668f984c8ababf)

/*
      Objects which encapsulate finite element spaces and operations
*/
#ifndef PETSCFE_H
#define PETSCFE_H
#include <petscdm.h>
#include <petscdt.h>
#include <petscfetypes.h>
#include <petscdstypes.h>

/* SUBMANSEC = FE */

typedef struct _n_PetscFEGeom {
  const PetscReal *xi;
  PetscReal       *v;     /* v[Nc*Np*dE]:           The first point in each each in real coordinates */
  PetscReal       *J;     /* J[Nc*Np*dE*dE]:        The Jacobian of the map from reference to real coordinates (if nonsquare it is completed with orthogonal columns) */
  PetscReal       *invJ;  /* invJ[Nc*Np*dE*dE]:     The inverse of the Jacobian of the map from reference to real coordinates (if nonsquare it is completed with orthogonal columns) */
  PetscReal       *detJ;  /* detJ[Nc*Np]:           The determinant of J, and if it is non-square its the volume change */
  PetscReal       *n;     /* n[Nc*Np*dE]:           For faces, the normal to the face in real coordinates, outward for the first supporting cell */
  PetscInt (*face)[2];    /* face[Nc][s]:           For faces, the local face number (cone index) for this face in each supporting cell s */
  PetscReal *suppJ[2];    /* sJ[s][Nc*Np*dE*dE]:    For faces, the Jacobian for each supporting cell s */
  PetscReal *suppInvJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell s */
  PetscReal *suppDetJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the Jacobian determinant for each supporting cell s */
  PetscInt   dim;         /* dim: Topological dimension */
  PetscInt   dimEmbed;    /* dE:  coordinate dimension */
  PetscInt   numCells;    /* Nc:  Number of mesh points represented in the arrays */
  PetscInt   numPoints;   /* Np:  Number of evaluation points represented in the arrays */
  PetscBool  isAffine;    /* Flag for affine transforms */
  PetscBool  isCohesive;  /* Flag for a cohesive cell */
} PetscFEGeom;

PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void);

PETSC_EXTERN PetscClassId PETSCSPACE_CLASSID;

/*J
  PetscSpaceType - String with the name of a PETSc linear space

  Level: beginner

.seealso: `PetscSpaceSetType()`, `PetscSpace`
J*/
typedef const char *PetscSpaceType;
#define PETSCSPACEPOLYNOMIAL "poly"
#define PETSCSPACEPTRIMMED   "ptrimmed"
#define PETSCSPACETENSOR     "tensor"
#define PETSCSPACESUM        "sum"
#define PETSCSPACEPOINT      "point"
#define PETSCSPACESUBSPACE   "subspace"
#define PETSCSPACEWXY        "wxy"

PETSC_EXTERN PetscFunctionList PetscSpaceList;
PETSC_EXTERN PetscErrorCode    PetscSpaceCreate(MPI_Comm, PetscSpace *);
PETSC_EXTERN PetscErrorCode    PetscSpaceDestroy(PetscSpace *);
PETSC_EXTERN PetscErrorCode    PetscSpaceSetType(PetscSpace, PetscSpaceType);
PETSC_EXTERN PetscErrorCode    PetscSpaceGetType(PetscSpace, PetscSpaceType *);
PETSC_EXTERN PetscErrorCode    PetscSpaceSetUp(PetscSpace);
PETSC_EXTERN PetscErrorCode    PetscSpaceSetFromOptions(PetscSpace);
PETSC_EXTERN PetscErrorCode    PetscSpaceViewFromOptions(PetscSpace, PetscObject, const char[]);

PETSC_EXTERN PetscErrorCode PetscSpaceView(PetscSpace, PetscViewer);
PETSC_EXTERN PetscErrorCode PetscSpaceRegister(const char[], PetscErrorCode (*)(PetscSpace));
PETSC_EXTERN PetscErrorCode PetscSpaceRegisterDestroy(void);

PETSC_EXTERN PetscErrorCode PetscSpaceGetDimension(PetscSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceSetNumComponents(PetscSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpaceGetNumComponents(PetscSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceSetNumVariables(PetscSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpaceGetNumVariables(PetscSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceSetDegree(PetscSpace, PetscInt, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpaceGetDegree(PetscSpace, PetscInt *, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceEvaluate(PetscSpace, PetscInt, const PetscReal[], PetscReal[], PetscReal[], PetscReal[]);
PETSC_EXTERN PetscErrorCode PetscSpaceGetHeightSubspace(PetscSpace, PetscInt, PetscSpace *);

static inline PETSC_DEPRECATED_FUNCTION("Property not used (since v3.17)") PetscErrorCode PetscSpacePolynomialSetSymmetric(PetscSpace sp, PetscBool s) {
  PetscCheck(!s, PetscObjectComm((PetscObject)sp), PETSC_ERR_SUP, "PETSCSPACEPOLYNOMIAL does not support symmetric polynomials");
  return 0;
}
static inline PETSC_DEPRECATED_FUNCTION("Property not used (since v3.17)") PetscErrorCode PetscSpacePolynomialGetSymmetric(PETSC_UNUSED PetscSpace sp, PetscBool *s) {
  *s = PETSC_FALSE;
  return 0;
}
PETSC_EXTERN PetscErrorCode PetscSpacePolynomialSetTensor(PetscSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscSpacePolynomialGetTensor(PetscSpace, PetscBool *);

PETSC_EXTERN PetscErrorCode PetscSpacePTrimmedSetFormDegree(PetscSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpacePTrimmedGetFormDegree(PetscSpace, PetscInt *);

PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetNumSubspaces(PetscSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetNumSubspaces(PetscSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetSubspace(PetscSpace, PetscInt, PetscSpace);
PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetSubspace(PetscSpace, PetscInt, PetscSpace *);

PETSC_EXTERN PetscErrorCode PetscSpaceSumSetNumSubspaces(PetscSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscSpaceSumGetNumSubspaces(PetscSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscSpaceSumSetSubspace(PetscSpace, PetscInt, PetscSpace);
PETSC_EXTERN PetscErrorCode PetscSpaceSumGetSubspace(PetscSpace, PetscInt, PetscSpace *);
PETSC_EXTERN PetscErrorCode PetscSpaceSumSetConcatenate(PetscSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscSpaceSumGetConcatenate(PetscSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode PetscSpaceCreateSum(PetscInt numSubspaces, const PetscSpace subspaces[], PetscBool concatenate, PetscSpace *sumSpace);

PETSC_EXTERN PetscErrorCode PetscSpacePointGetPoints(PetscSpace, PetscQuadrature *);
PETSC_EXTERN PetscErrorCode PetscSpacePointSetPoints(PetscSpace, PetscQuadrature);

PETSC_EXTERN PetscErrorCode PetscSpaceCreateSubspace(PetscSpace, PetscDualSpace, PetscReal *, PetscReal *, PetscReal *, PetscReal *, PetscCopyMode, PetscSpace *);

PETSC_EXTERN PetscClassId PETSCDUALSPACE_CLASSID;

/*J
  PetscDualSpaceType - String with the name of a PETSc dual space

  Level: beginner

.seealso: `PetscDualSpaceSetType()`, `PetscDualSpace`
J*/
typedef const char *PetscDualSpaceType;
#define PETSCDUALSPACELAGRANGE "lagrange"
#define PETSCDUALSPACESIMPLE   "simple"
#define PETSCDUALSPACEREFINED  "refined"
#define PETSCDUALSPACEBDM      "bdm"

/*MC
  PETSCDUALSPACEBDM = "bdm" - A `PetscDualSpace` object that encapsulates a dual space for Brezzi-Douglas-Marini elements

  Level: intermediate

  Note: This type is a constructor alias of `PETSCDUALSPACELAGRANGE`.  During
  `PetscDualSpaceSetUp()`, the correct value of `PetscDualSpaceSetFormDegree()` is
  set for H-div conforming spaces. The type of the dual space is then changed to
  to `PETSCDUALSPACELAGRANGE`.

.seealso: `PetscDualSpaceType`, `PetscDualSpaceCreate()`, `PetscDualSpaceSetType()`, `PETSCDUALSPACELAGRANGE`, `PetscDualSpaceSetFormDegree()`
M*/

PETSC_EXTERN PetscFunctionList PetscDualSpaceList;
PETSC_EXTERN PetscErrorCode    PetscDualSpaceCreate(MPI_Comm, PetscDualSpace *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceDestroy(PetscDualSpace *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceDuplicate(PetscDualSpace, PetscDualSpace *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceSetType(PetscDualSpace, PetscDualSpaceType);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceGetType(PetscDualSpace, PetscDualSpaceType *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceGetUniform(PetscDualSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceGetNumDof(PetscDualSpace, const PetscInt **);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceGetSection(PetscDualSpace, PetscSection *);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceSetUp(PetscDualSpace);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceSetFromOptions(PetscDualSpace);
PETSC_EXTERN PetscErrorCode    PetscDualSpaceViewFromOptions(PetscDualSpace, PetscObject, const char[]);

PETSC_EXTERN PetscErrorCode PetscDualSpaceView(PetscDualSpace, PetscViewer);
PETSC_EXTERN PetscErrorCode PetscDualSpaceRegister(const char[], PetscErrorCode (*)(PetscDualSpace));
PETSC_EXTERN PetscErrorCode PetscDualSpaceRegisterDestroy(void);

PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDimension(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorDimension(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSetNumComponents(PetscDualSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumComponents(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSetOrder(PetscDualSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetOrder(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSetDM(PetscDualSpace, DM);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDM(PetscDualSpace, DM *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFunctional(PetscDualSpace, PetscInt, PetscQuadrature *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSymmetries(PetscDualSpace, const PetscInt ****, const PetscScalar ****);

PETSC_EXTERN PetscErrorCode PetscFEGeomCreate(PetscQuadrature, PetscInt, PetscInt, PetscBool, PetscFEGeom **);
PETSC_EXTERN PetscErrorCode PetscFEGeomGetQuadrature(PetscFEGeom *, PetscQuadrature *);
PETSC_EXTERN PetscErrorCode PetscFEGeomSetQuadrature(PetscFEGeom *, PetscQuadrature);
PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **);
PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom **);
PETSC_EXTERN PetscErrorCode PetscFEGeomGetPoint(PetscFEGeom *, PetscInt, PetscInt, const PetscReal[], PetscFEGeom *);
PETSC_EXTERN PetscErrorCode PetscFEGeomGetCellPoint(PetscFEGeom *, PetscInt, PetscInt, PetscFEGeom *);
PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom *);
PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom **);

PETSC_EXTERN PetscErrorCode PetscDualSpaceApply(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyDefault(PetscDualSpace, PetscInt, PetscReal, PetscFEGeom *, PetscInt, PetscErrorCode (*)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *, PetscScalar *);

PETSC_EXTERN PetscErrorCode PetscDualSpaceGetAllData(PetscDualSpace, PetscQuadrature *, Mat *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateAllDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorData(PetscDualSpace, PetscQuadrature *, Mat *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateInteriorDataDefault(PetscDualSpace, PetscQuadrature *, Mat *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceEqual(PetscDualSpace, PetscDualSpace, PetscBool *);

PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAll(PetscDualSpace, const PetscScalar *, PetscScalar *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAllDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInterior(PetscDualSpace, const PetscScalar *, PetscScalar *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInteriorDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);

PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFormDegree(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFormDegree(PetscDualSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDeRahm(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformGradient(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformHessian(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardHessian(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);

PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetContinuity(PetscDualSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetContinuity(PetscDualSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTensor(PetscDualSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTensor(PetscDualSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTrimmed(PetscDualSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTrimmed(PetscDualSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetNodeType(PetscDualSpace, PetscDTNodeType *, PetscBool *, PetscReal *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetNodeType(PetscDualSpace, PetscDTNodeType, PetscBool, PetscReal);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetUseMoments(PetscDualSpace, PetscBool *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetUseMoments(PetscDualSpace, PetscBool);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetMomentOrder(PetscDualSpace, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetMomentOrder(PetscDualSpace, PetscInt);

PETSC_EXTERN PetscErrorCode PetscDualSpaceGetHeightSubspace(PetscDualSpace, PetscInt, PetscDualSpace *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceGetPointSubspace(PetscDualSpace, PetscInt, PetscDualSpace *);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetDimension(PetscDualSpace, PetscInt);
PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetFunctional(PetscDualSpace, PetscInt, PetscQuadrature);

PETSC_EXTERN PetscErrorCode PetscDualSpaceRefinedSetCellSpaces(PetscDualSpace, const PetscDualSpace[]);

PETSC_EXTERN PetscClassId PETSCFE_CLASSID;

/*J
  PetscFEType - String with the name of a PETSc finite element space

  Level: beginner

  Note: Currently, the classes are concerned with the implementation of element integration

.seealso: `PetscFESetType()`, `PetscFE`
J*/
typedef const char *PetscFEType;
#define PETSCFEBASIC     "basic"
#define PETSCFEOPENCL    "opencl"
#define PETSCFECOMPOSITE "composite"

PETSC_EXTERN PetscFunctionList PetscFEList;
PETSC_EXTERN PetscErrorCode    PetscFECreate(MPI_Comm, PetscFE *);
PETSC_EXTERN PetscErrorCode    PetscFEDestroy(PetscFE *);
PETSC_EXTERN PetscErrorCode    PetscFESetType(PetscFE, PetscFEType);
PETSC_EXTERN PetscErrorCode    PetscFEGetType(PetscFE, PetscFEType *);
PETSC_EXTERN PetscErrorCode    PetscFESetUp(PetscFE);
PETSC_EXTERN PetscErrorCode    PetscFESetFromOptions(PetscFE);
PETSC_EXTERN PetscErrorCode    PetscFEViewFromOptions(PetscFE, PetscObject, const char[]);
PETSC_EXTERN PetscErrorCode    PetscFESetName(PetscFE, const char[]);

PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE, PetscViewer);
PETSC_EXTERN PetscErrorCode PetscFERegister(const char[], PetscErrorCode (*)(PetscFE));
PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void);
PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char[], PetscInt, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFECreateByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, const char[], PetscInt, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFECreateLagrangeByCell(MPI_Comm, PetscInt, PetscInt, DMPolytopeType, PetscInt, PetscInt, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFECreateFromSpaces(PetscSpace, PetscDualSpace, PetscQuadrature, PetscQuadrature, PetscFE *);

PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt);
PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt);
PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace);
PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *);
PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace);
PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *);
PETSC_EXTERN PetscErrorCode PetscFESetQuadrature(PetscFE, PetscQuadrature);
PETSC_EXTERN PetscErrorCode PetscFEGetQuadrature(PetscFE, PetscQuadrature *);
PETSC_EXTERN PetscErrorCode PetscFESetFaceQuadrature(PetscFE, PetscQuadrature);
PETSC_EXTERN PetscErrorCode PetscFEGetFaceQuadrature(PetscFE, PetscQuadrature *);
PETSC_EXTERN PetscErrorCode PetscFECopyQuadrature(PetscFE, PetscFE);
PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **);

/* TODO: Need a function to reuse the memory when retabulating the same FE at different points */
PETSC_EXTERN PetscErrorCode PetscFEGetCellTabulation(PetscFE, PetscInt, PetscTabulation *);
PETSC_EXTERN PetscErrorCode PetscFEGetFaceTabulation(PetscFE, PetscInt, PetscTabulation *);
PETSC_EXTERN PetscErrorCode PetscFEGetFaceCentroidTabulation(PetscFE, PetscTabulation *);
PETSC_EXTERN PetscErrorCode PetscFECreateTabulation(PetscFE, PetscInt, PetscInt, const PetscReal[], PetscInt, PetscTabulation *);
PETSC_EXTERN PetscErrorCode PetscFEComputeTabulation(PetscFE, PetscInt, const PetscReal[], PetscInt, PetscTabulation);
PETSC_EXTERN PetscErrorCode PetscTabulationDestroy(PetscTabulation *);

PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *);

PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *);
PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *);
PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEPushforwardHessian(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);

PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateBd(PetscDS, PetscInt, void (*)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscWeakForm, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscWeakForm, PetscFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscFEJacobianType, PetscFormKey, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);

PETSC_EXTERN PetscErrorCode PetscFECompositeGetMapping(PetscFE, PetscInt *, const PetscReal *[], const PetscReal *[], const PetscReal *[]);

PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *);
PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *);

PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType);
PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *);

#endif