Actual source code: petscfe.h

petsc-main 2021-04-20
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```  1: /*
2:       Objects which encapsulate finite element spaces and operations
3: */
4: #if !defined(PETSCFE_H)
5: #define PETSCFE_H
6: #include <petscdm.h>
7: #include <petscdt.h>
8: #include <petscfetypes.h>
9: #include <petscdstypes.h>

11: typedef struct _n_PetscFEGeom {
12:   const PetscReal *xi;
13:   PetscReal *v;           /* v[Nc*Np*dE]:           The first point in each each in real coordinates */
14:   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) */
15:   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) */
16:   PetscReal *detJ;        /* detJ[Nc*Np]:           The determinant of J, and if it is non-square its the volume change */
17:   PetscReal *n;           /* n[Nc*Np*dE]:           For faces, the normal to the face in real coordinates, outward for the first supporting cell */
18:   PetscInt  (*face)[2];   /* face[Nc][s]:           For faces, the local face number (cone index) for this face in each supporting cell s */
19:   PetscReal *suppJ[2];    /* sJ[s][Nc*Np*dE*dE]:    For faces, the Jacobian for each supporting cell s */
20:   PetscReal *suppInvJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the inverse Jacobian for each supporting cell s */
21:   PetscReal *suppDetJ[2]; /* sInvJ[s][Nc*Np*dE*dE]: For faces, the Jacobian determinant for each supporting cell s */
22:   PetscInt  dim;          /* Topological dimension */
23:   PetscInt  dimEmbed;     /* Real coordinate dimension */
24:   PetscInt  numCells;     /* Number of mesh points represented in the arrays */
25:   PetscInt  numPoints;    /* Number of evaluation points represented in the arrays */
26:   PetscBool isAffine;     /* Flag for affine transforms */
27: } PetscFEGeom;

29: PETSC_EXTERN PetscErrorCode PetscFEInitializePackage(void);

31: PETSC_EXTERN PetscClassId PETSCSPACE_CLASSID;

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

36:   Level: beginner

38: .seealso: PetscSpaceSetType(), PetscSpace
39: J*/
40: typedef const char* PetscSpaceType;
41: #define PETSCSPACEPOLYNOMIAL "poly"
42: #define PETSCSPACETENSOR     "tensor"
43: #define PETSCSPACESUM        "sum"
44: #define PETSCSPACEPOINT      "point"
45: #define PETSCSPACESUBSPACE   "subspace"

47: PETSC_EXTERN PetscFunctionList PetscSpaceList;
48: PETSC_EXTERN PetscErrorCode PetscSpaceCreate(MPI_Comm, PetscSpace *);
49: PETSC_EXTERN PetscErrorCode PetscSpaceDestroy(PetscSpace *);
50: PETSC_EXTERN PetscErrorCode PetscSpaceSetType(PetscSpace, PetscSpaceType);
51: PETSC_EXTERN PetscErrorCode PetscSpaceGetType(PetscSpace, PetscSpaceType *);
52: PETSC_EXTERN PetscErrorCode PetscSpaceSetUp(PetscSpace);
53: PETSC_EXTERN PetscErrorCode PetscSpaceSetFromOptions(PetscSpace);
54: PETSC_EXTERN PetscErrorCode PetscSpaceViewFromOptions(PetscSpace,PetscObject,const char[]);

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

60: PETSC_EXTERN PetscErrorCode PetscSpaceGetDimension(PetscSpace, PetscInt *);
61: PETSC_EXTERN PetscErrorCode PetscSpaceSetNumComponents(PetscSpace, PetscInt);
62: PETSC_EXTERN PetscErrorCode PetscSpaceGetNumComponents(PetscSpace, PetscInt *);
63: PETSC_EXTERN PetscErrorCode PetscSpaceSetNumVariables(PetscSpace, PetscInt);
64: PETSC_EXTERN PetscErrorCode PetscSpaceGetNumVariables(PetscSpace, PetscInt *);
65: PETSC_EXTERN PetscErrorCode PetscSpaceSetDegree(PetscSpace, PetscInt, PetscInt);
66: PETSC_EXTERN PetscErrorCode PetscSpaceGetDegree(PetscSpace, PetscInt *, PetscInt *);
67: PETSC_EXTERN PetscErrorCode PetscSpaceEvaluate(PetscSpace, PetscInt, const PetscReal[], PetscReal[], PetscReal[], PetscReal[]);
68: PETSC_EXTERN PetscErrorCode PetscSpaceGetHeightSubspace(PetscSpace, PetscInt, PetscSpace *);

70: PETSC_EXTERN PetscErrorCode PetscSpacePolynomialSetSymmetric(PetscSpace, PetscBool);
71: PETSC_EXTERN PetscErrorCode PetscSpacePolynomialGetSymmetric(PetscSpace, PetscBool *);
72: PETSC_EXTERN PetscErrorCode PetscSpacePolynomialSetTensor(PetscSpace, PetscBool);
73: PETSC_EXTERN PetscErrorCode PetscSpacePolynomialGetTensor(PetscSpace, PetscBool *);

75: PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetNumSubspaces(PetscSpace, PetscInt);
76: PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetNumSubspaces(PetscSpace, PetscInt *);
77: PETSC_EXTERN PetscErrorCode PetscSpaceTensorSetSubspace(PetscSpace, PetscInt, PetscSpace);
78: PETSC_EXTERN PetscErrorCode PetscSpaceTensorGetSubspace(PetscSpace, PetscInt, PetscSpace *);

80: PETSC_EXTERN PetscErrorCode PetscSpaceSumSetNumSubspaces(PetscSpace, PetscInt);
81: PETSC_EXTERN PetscErrorCode PetscSpaceSumGetNumSubspaces(PetscSpace, PetscInt *);
82: PETSC_EXTERN PetscErrorCode PetscSpaceSumSetSubspace(PetscSpace, PetscInt, PetscSpace);
83: PETSC_EXTERN PetscErrorCode PetscSpaceSumGetSubspace(PetscSpace, PetscInt, PetscSpace *);
84: PETSC_EXTERN PetscErrorCode PetscSpaceSumSetConcatenate(PetscSpace, PetscBool);
85: PETSC_EXTERN PetscErrorCode PetscSpaceSumGetConcatenate(PetscSpace, PetscBool *);
86: PETSC_EXTERN PetscErrorCode PetscSpaceCreateSum(PetscInt numSubspaces,const PetscSpace subspaces[],PetscBool concatenate,PetscSpace *sumSpace);

88: PETSC_EXTERN PetscErrorCode PetscSpacePointGetPoints(PetscSpace, PetscQuadrature *);

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

93: PETSC_EXTERN PetscClassId PETSCDUALSPACE_CLASSID;

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

98:   Level: beginner

100: .seealso: PetscDualSpaceSetType(), PetscDualSpace
101: J*/
102: typedef const char *PetscDualSpaceType;
103: #define PETSCDUALSPACELAGRANGE "lagrange"
104: #define PETSCDUALSPACESIMPLE   "simple"
105: #define PETSCDUALSPACEREFINED  "refined"
106: #define PETSCDUALSPACEBDM      "bdm"

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

111:   Level: intermediate

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

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

121: PETSC_EXTERN PetscFunctionList PetscDualSpaceList;
122: PETSC_EXTERN PetscErrorCode PetscDualSpaceCreate(MPI_Comm, PetscDualSpace *);
123: PETSC_EXTERN PetscErrorCode PetscDualSpaceDestroy(PetscDualSpace *);
124: PETSC_EXTERN PetscErrorCode PetscDualSpaceDuplicate(PetscDualSpace, PetscDualSpace *);
125: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetType(PetscDualSpace, PetscDualSpaceType);
126: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetType(PetscDualSpace, PetscDualSpaceType *);
127: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetUniform(PetscDualSpace, PetscBool *);
128: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumDof(PetscDualSpace, const PetscInt **);
129: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSection(PetscDualSpace, PetscSection *);
130: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetUp(PetscDualSpace);
131: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFromOptions(PetscDualSpace);
132: PETSC_EXTERN PetscErrorCode PetscDualSpaceViewFromOptions(PetscDualSpace,PetscObject,const char[]);

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

138: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDimension(PetscDualSpace, PetscInt *);
139: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorDimension(PetscDualSpace, PetscInt *);
140: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetNumComponents(PetscDualSpace, PetscInt);
141: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetNumComponents(PetscDualSpace, PetscInt *);
142: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetOrder(PetscDualSpace, PetscInt);
143: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetOrder(PetscDualSpace, PetscInt *);
144: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetDM(PetscDualSpace, DM);
145: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDM(PetscDualSpace, DM *);
146: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFunctional(PetscDualSpace, PetscInt, PetscQuadrature *);
147: PETSC_EXTERN PetscErrorCode PetscDualSpaceCreateReferenceCell(PetscDualSpace, PetscInt, PetscBool, DM *);
148: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetSymmetries(PetscDualSpace, const PetscInt ****, const PetscScalar ****);

151: PETSC_EXTERN PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom*,PetscInt,PetscInt,PetscFEGeom**);
152: PETSC_EXTERN PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom*,PetscInt,PetscInt,PetscFEGeom**);
153: PETSC_EXTERN PetscErrorCode PetscFEGeomComplete(PetscFEGeom*);
154: PETSC_EXTERN PetscErrorCode PetscFEGeomDestroy(PetscFEGeom**);

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

159: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetAllData(PetscDualSpace, PetscQuadrature *, Mat *);
161: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetInteriorData(PetscDualSpace, PetscQuadrature *, Mat *);

164: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAll(PetscDualSpace, const PetscScalar *, PetscScalar *);
165: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyAllDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);
166: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInterior(PetscDualSpace, const PetscScalar *, PetscScalar *);
167: PETSC_EXTERN PetscErrorCode PetscDualSpaceApplyInteriorDefault(PetscDualSpace, const PetscScalar *, PetscScalar *);

170: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetFormDegree(PetscDualSpace, PetscInt *);
171: PETSC_EXTERN PetscErrorCode PetscDualSpaceSetFormDegree(PetscDualSpace, PetscInt);
172: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetDeRahm(PetscDualSpace, PetscInt *);
173: PETSC_EXTERN PetscErrorCode PetscDualSpaceTransform(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
174: PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformGradient(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
175: PETSC_EXTERN PetscErrorCode PetscDualSpaceTransformHessian(PetscDualSpace, PetscDualSpaceTransformType, PetscBool, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
176: PETSC_EXTERN PetscErrorCode PetscDualSpacePullback(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
177: PETSC_EXTERN PetscErrorCode PetscDualSpacePushforward(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
178: PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardGradient(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);
179: PETSC_EXTERN PetscErrorCode PetscDualSpacePushforwardHessian(PetscDualSpace, PetscFEGeom *, PetscInt, PetscInt, PetscScalar[]);

181: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetContinuity(PetscDualSpace, PetscBool *);
182: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetContinuity(PetscDualSpace, PetscBool);
183: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTensor(PetscDualSpace, PetscBool *);
184: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTensor(PetscDualSpace, PetscBool);
185: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetTrimmed(PetscDualSpace, PetscBool *);
186: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetTrimmed(PetscDualSpace, PetscBool);
187: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetNodeType(PetscDualSpace, PetscDTNodeType *, PetscBool *, PetscReal *);
188: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetNodeType(PetscDualSpace, PetscDTNodeType, PetscBool, PetscReal);
189: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetUseMoments(PetscDualSpace, PetscBool *);
190: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetUseMoments(PetscDualSpace, PetscBool);
191: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeGetMomentOrder(PetscDualSpace, PetscInt *);
192: PETSC_EXTERN PetscErrorCode PetscDualSpaceLagrangeSetMomentOrder(PetscDualSpace, PetscInt);

194: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetHeightSubspace(PetscDualSpace,PetscInt,PetscDualSpace *);
195: PETSC_EXTERN PetscErrorCode PetscDualSpaceGetPointSubspace(PetscDualSpace,PetscInt,PetscDualSpace *);
196: PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetDimension(PetscDualSpace, PetscInt);
197: PETSC_EXTERN PetscErrorCode PetscDualSpaceSimpleSetFunctional(PetscDualSpace, PetscInt, PetscQuadrature);

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

201: PETSC_EXTERN PetscClassId PETSCFE_CLASSID;

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

206:   Level: beginner

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

210: .seealso: PetscFESetType(), PetscFE
211: J*/
212: typedef const char *PetscFEType;
213: #define PETSCFEBASIC     "basic"
214: #define PETSCFEOPENCL    "opencl"
215: #define PETSCFECOMPOSITE "composite"

217: PETSC_EXTERN PetscFunctionList PetscFEList;
218: PETSC_EXTERN PetscErrorCode PetscFECreate(MPI_Comm, PetscFE *);
219: PETSC_EXTERN PetscErrorCode PetscFEDestroy(PetscFE *);
220: PETSC_EXTERN PetscErrorCode PetscFESetType(PetscFE, PetscFEType);
221: PETSC_EXTERN PetscErrorCode PetscFEGetType(PetscFE, PetscFEType *);
222: PETSC_EXTERN PetscErrorCode PetscFESetUp(PetscFE);
223: PETSC_EXTERN PetscErrorCode PetscFESetFromOptions(PetscFE);
224: PETSC_EXTERN PetscErrorCode PetscFEViewFromOptions(PetscFE,PetscObject,const char[]);
225: PETSC_EXTERN PetscErrorCode PetscFESetName(PetscFE, const char []);

227: PETSC_EXTERN PetscErrorCode PetscFEView(PetscFE,PetscViewer);
228: PETSC_EXTERN PetscErrorCode PetscFERegister(const char [], PetscErrorCode (*)(PetscFE));
229: PETSC_EXTERN PetscErrorCode PetscFERegisterDestroy(void);
230: PETSC_EXTERN PetscErrorCode PetscFECreateDefault(MPI_Comm, PetscInt, PetscInt, PetscBool, const char [], PetscInt, PetscFE *);
231: PETSC_EXTERN PetscErrorCode PetscFECreateLagrange(MPI_Comm, PetscInt, PetscInt, PetscBool, PetscInt, PetscInt, PetscFE *);

233: PETSC_EXTERN PetscErrorCode PetscFEGetDimension(PetscFE, PetscInt *);
234: PETSC_EXTERN PetscErrorCode PetscFEGetSpatialDimension(PetscFE, PetscInt *);
235: PETSC_EXTERN PetscErrorCode PetscFESetNumComponents(PetscFE, PetscInt);
236: PETSC_EXTERN PetscErrorCode PetscFEGetNumComponents(PetscFE, PetscInt *);
237: PETSC_EXTERN PetscErrorCode PetscFEGetTileSizes(PetscFE, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
238: PETSC_EXTERN PetscErrorCode PetscFESetTileSizes(PetscFE, PetscInt, PetscInt, PetscInt, PetscInt);
239: PETSC_EXTERN PetscErrorCode PetscFESetBasisSpace(PetscFE, PetscSpace);
240: PETSC_EXTERN PetscErrorCode PetscFEGetBasisSpace(PetscFE, PetscSpace *);
241: PETSC_EXTERN PetscErrorCode PetscFESetDualSpace(PetscFE, PetscDualSpace);
242: PETSC_EXTERN PetscErrorCode PetscFEGetDualSpace(PetscFE, PetscDualSpace *);
248: PETSC_EXTERN PetscErrorCode PetscFEGetNumDof(PetscFE, const PetscInt **);

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

258: PETSC_EXTERN PetscErrorCode PetscFERefine(PetscFE, PetscFE *);
259: PETSC_EXTERN PetscErrorCode PetscFEGetHeightSubspace(PetscFE, PetscInt, PetscFE *);

261: PETSC_EXTERN PetscErrorCode PetscFECreateCellGeometry(PetscFE, PetscQuadrature, PetscFEGeom *);
262: PETSC_EXTERN PetscErrorCode PetscFEDestroyCellGeometry(PetscFE, PetscFEGeom *);
263: PETSC_EXTERN PetscErrorCode PetscFEPushforward(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
264: PETSC_EXTERN PetscErrorCode PetscFEPushforwardGradient(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);
265: PETSC_EXTERN PetscErrorCode PetscFEPushforwardHessian(PetscFE, PetscFEGeom *, PetscInt, PetscScalar[]);

267: PETSC_EXTERN PetscErrorCode PetscFEIntegrate(PetscDS, PetscInt, PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
268: PETSC_EXTERN PetscErrorCode PetscFEIntegrateBd(PetscDS, PetscInt,
269:                                                void (*)(PetscInt, PetscInt, PetscInt,
270:                                                         const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
271:                                                         const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[],
272:                                                         PetscReal, const PetscReal[], const PetscReal[], PetscInt, const
273:                                                         PetscScalar[], PetscScalar[]),
274:                                                PetscInt, PetscFEGeom *, const PetscScalar[], PetscDS, const PetscScalar[], PetscScalar[]);
275: PETSC_EXTERN PetscErrorCode PetscFEIntegrateResidual(PetscDS, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
276: PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdResidual(PetscDS, PetscWeakForm, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
277: PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridResidual(PetscDS, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscScalar[]);
278: PETSC_EXTERN PetscErrorCode PetscFEIntegrateJacobian(PetscDS, PetscFEJacobianType, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
279: PETSC_EXTERN PetscErrorCode PetscFEIntegrateBdJacobian(PetscDS, PetscWeakForm, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);
280: PETSC_EXTERN PetscErrorCode PetscFEIntegrateHybridJacobian(PetscDS, PetscFEJacobianType, PetscHashFormKey, PetscInt, PetscFEGeom *, const PetscScalar[], const PetscScalar[], PetscDS, const PetscScalar[], PetscReal, PetscReal, PetscScalar[]);

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

284: PETSC_EXTERN PetscErrorCode PetscFECreateHeightTrace(PetscFE, PetscInt, PetscFE *);
285: PETSC_EXTERN PetscErrorCode PetscFECreatePointTrace(PetscFE, PetscInt, PetscFE *);

287: PETSC_EXTERN PetscErrorCode PetscFEOpenCLSetRealType(PetscFE, PetscDataType);
288: PETSC_EXTERN PetscErrorCode PetscFEOpenCLGetRealType(PetscFE, PetscDataType *);

290: #endif
```