xref: /petsc/include/petscmat.h (revision efd4aadf157bf1ba2d80c2be092fcf4247860003)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
232 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
233 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
234 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
236 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
237 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
238 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
239 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 #if defined(PETSC_HAVE_HYPRE)
252 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
253 #endif
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
279 
280    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
281    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
282 
283    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
284 
285    Fortran usage is different, see MatSetValuesStencil() for details.
286 
287    Level: beginner
288 
289   Concepts: matrix; linear operator
290 
291 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
292 S*/
293 typedef struct {
294   PetscInt k,j,i,c;
295 } MatStencil;
296 
297 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
299 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
300 
301 /*E
302     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
303      to continue to add or insert values to it
304 
305     Level: beginner
306 
307 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
308 E*/
309 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
310 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
312 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
313 
314 
315 
316 /*E
317     MatOption - Options that may be set for a matrix and its behavior or storage
318 
319     Level: beginner
320 
321    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
322 
323    Developer Notes: Entries that are negative need not be called collectively by all processes.
324 
325 .seealso: MatSetOption()
326 E*/
327 typedef enum {MAT_OPTION_MIN = -3,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_NEW_NONZERO_LOCATION_ERR = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
349               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
350               MAT_SUBMAT_SINGLEIS = 21,
351               MAT_STRUCTURE_ONLY = 22,
352               MAT_OPTION_MAX = 23} MatOption;
353 
354 PETSC_EXTERN const char *MatOptions[];
355 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
356 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
357 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
358 
359 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
360 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
363 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
364 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
369 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
378 
379 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
385 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
386 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
391 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
392 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
393 
394 /*E
395     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
396   its numerical values copied over or just its nonzero structure.
397 
398     Level: beginner
399 
400    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
401 
402 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
403 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
404 $                               have several matrices with the same nonzero pattern.
405 
406 .seealso: MatDuplicate()
407 E*/
408 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
409 
410 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
411 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
412 
413 
414 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
415 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
421 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
422 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
423 
424 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
426 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
428 
429 /*S
430      MatInfo - Context of matrix information, used with MatGetInfo()
431 
432    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
433 
434    Level: intermediate
435 
436   Concepts: matrix^nonzero information
437 
438 .seealso:  MatGetInfo(), MatInfoType
439 S*/
440 typedef struct {
441   PetscLogDouble block_size;                         /* block size */
442   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
443   PetscLogDouble memory;                             /* memory allocated */
444   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
445   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
446   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
447   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
448 } MatInfo;
449 
450 /*E
451     MatInfoType - Indicates if you want information about the local part of the matrix,
452      the entire parallel matrix or the maximum over all the local parts.
453 
454     Level: beginner
455 
456    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
457 
458 .seealso: MatGetInfo(), MatInfo
459 E*/
460 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
461 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
462 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
463 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
465 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
468 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
469 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
470 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
471 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
473 
474 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
480 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
481 
482 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
483 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
484 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
485 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
490 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
491 
492 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
493 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
498 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
499 
500 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
501 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
502 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
503 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
504 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
505 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
506 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
507 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
508 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
509 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
510 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
511 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
512 
513 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
514 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
515 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
516 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
517 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
518 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
519 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
520 
521 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
522 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
523 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
524 
525 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
531 
532 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
535 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
538 
539 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
542 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
544 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
545 
546 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
547 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
548 
549 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
550 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
551 
552 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
553 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
554 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
555 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
556 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
557 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
560 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
561 
562 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
563 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
564 
565 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
569 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
570 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
571 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
572 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
573 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
574 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
575 
576 /*MC
577    MatSetValue - Set a single entry into a matrix.
578 
579    Not collective
580 
581    Synopsis:
582      #include <petscmat.h>
583      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
584 
585    Input Parameters:
586 +  m - the matrix
587 .  row - the row location of the entry
588 .  col - the column location of the entry
589 .  value - the value to insert
590 -  mode - either INSERT_VALUES or ADD_VALUES
591 
592    Notes:
593    For efficiency one should use MatSetValues() and set several or many
594    values simultaneously if possible.
595 
596    Level: beginner
597 
598 .seealso: MatSetValues(), MatSetValueLocal()
599 M*/
600 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
601 
602 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
603 
604 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
605 
606 /*MC
607    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
608        row in a matrix providing the data that one can use to correctly preallocate the matrix.
609 
610    Synopsis:
611    #include <petscmat.h>
612    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
613 
614    Collective on MPI_Comm
615 
616    Input Parameters:
617 +  comm - the communicator that will share the eventually allocated matrix
618 .  nrows - the number of LOCAL rows in the matrix
619 -  ncols - the number of LOCAL columns in the matrix
620 
621    Output Parameters:
622 +  dnz - the array that will be passed to the matrix preallocation routines
623 -  ozn - the other array passed to the matrix preallocation routines
624 
625    Level: intermediate
626 
627    Notes:
628     See Users-Manual: ch_performance for more details.
629 
630    Do not malloc or free dnz and onz, that is handled internally by these routines
631 
632    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
633 
634    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
635 
636   Concepts: preallocation^Matrix
637 
638 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
639           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
640 M*/
641 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
642 { \
643   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
644   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
645   __start = 0; __end = __start;                                         \
646   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
647   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
648 
649 /*MC
650    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
651        inserted using a local number of the rows and columns
652 
653    Synopsis:
654    #include <petscmat.h>
655    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
656 
657    Not Collective
658 
659    Input Parameters:
660 +  map - the row mapping from local numbering to global numbering
661 .  nrows - the number of rows indicated
662 .  rows - the indices of the rows
663 .  cmap - the column mapping from local to global numbering
664 .  ncols - the number of columns in the matrix
665 .  cols - the columns indicated
666 .  dnz - the array that will be passed to the matrix preallocation routines
667 -  ozn - the other array passed to the matrix preallocation routines
668 
669    Level: intermediate
670 
671    Notes:
672     See Users-Manual: ch_performance for more details.
673 
674    Do not malloc or free dnz and onz, that is handled internally by these routines
675 
676   Concepts: preallocation^Matrix
677 
678 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
679           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
680 M*/
681 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
682 {\
683   PetscInt __l;\
684   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
685   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
686   for (__l=0;__l<nrows;__l++) {\
687     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
688   }\
689 }
690 
691 /*MC
692    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
693        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
694 
695    Synopsis:
696    #include <petscmat.h>
697    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
698 
699    Not Collective
700 
701    Input Parameters:
702 +  map - the row mapping from local numbering to global numbering
703 .  nrows - the number of rows indicated
704 .  rows - the indices of the rows (these values are mapped to the global values)
705 .  cmap - the column mapping from local to global numbering
706 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
707 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
708 .  dnz - the array that will be passed to the matrix preallocation routines
709 -  ozn - the other array passed to the matrix preallocation routines
710 
711    Level: intermediate
712 
713    Notes:
714     See Users-Manual: ch_performance for more details.
715 
716    Do not malloc or free dnz and onz, that is handled internally by these routines
717 
718   Concepts: preallocation^Matrix
719 
720 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
721           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
722 M*/
723 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
724 {\
725   PetscInt __l;\
726   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
727   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
728   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
729   for (__l=0;__l<nrows;__l++) {\
730     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
731   }\
732 }
733 
734 /*MC
735    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
736        inserted using a local number of the rows and columns
737 
738    Synopsis:
739    #include <petscmat.h>
740    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
741 
742    Not Collective
743 
744    Input Parameters:
745 +  map - the row mapping from local numbering to global numbering
746 .  nrows - the number of rows indicated
747 .  rows - the indices of the rows
748 .  cmap - the column mapping from local to global numbering
749 .  ncols - the number of columns in the matrix
750 .  cols - the columns indicated
751 .  dnz - the array that will be passed to the matrix preallocation routines
752 -  ozn - the other array passed to the matrix preallocation routines
753 
754    Level: intermediate
755 
756    Notes:
757     See Users-Manual: ch_performance for more details.
758 
759    Do not malloc or free dnz and onz, that is handled internally by these routines
760 
761   Concepts: preallocation^Matrix
762 
763 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
764           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
765 M*/
766 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
767 {\
768   PetscInt __l;\
769   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
770   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
771   for (__l=0;__l<nrows;__l++) {\
772     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
773   }\
774 }
775 
776 /*MC
777    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
778        inserted using a local number of the rows and columns
779 
780    Synopsis:
781    #include <petscmat.h>
782    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
783 
784    Not Collective
785 
786    Input Parameters:
787 +  map - the mapping between local numbering and global numbering
788 .  nrows - the number of rows indicated
789 .  rows - the indices of the rows
790 .  ncols - the number of columns in the matrix
791 .  cols - the columns indicated
792 .  dnz - the array that will be passed to the matrix preallocation routines
793 -  ozn - the other array passed to the matrix preallocation routines
794 
795    Level: intermediate
796 
797    Notes:
798     See Users-Manual: ch_performance for more details.
799 
800    Do not malloc or free dnz and onz that is handled internally by these routines
801 
802   Concepts: preallocation^Matrix
803 
804 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
805           MatPreallocateInitialize(),  MatPreallocateSetLocal()
806 M*/
807 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
808 {\
809   PetscInt __l;\
810   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
811   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
812   for (__l=0;__l<nrows;__l++) {\
813     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
814   }\
815 }
816 /*MC
817    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
818        inserted using a local number of the rows and columns
819 
820    Synopsis:
821    #include <petscmat.h>
822    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
823 
824    Not Collective
825 
826    Input Parameters:
827 +  row - the row
828 .  ncols - the number of columns in the matrix
829 -  cols - the columns indicated
830 
831    Output Parameters:
832 +  dnz - the array that will be passed to the matrix preallocation routines
833 -  ozn - the other array passed to the matrix preallocation routines
834 
835    Level: intermediate
836 
837    Notes:
838     See Users-Manual: ch_performance for more details.
839 
840    Do not malloc or free dnz and onz that is handled internally by these routines
841 
842    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
843 
844   Concepts: preallocation^Matrix
845 
846 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
847           MatPreallocateInitialize(), MatPreallocateSetLocal()
848 M*/
849 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
850 { PetscInt __i; \
851   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
852   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
853   for (__i=0; __i<nc; __i++) {\
854     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
855     else dnz[row - __rstart]++;\
856   }\
857 }
858 
859 /*MC
860    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
861        inserted using a local number of the rows and columns
862 
863    Synopsis:
864    #include <petscmat.h>
865    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
866 
867    Not Collective
868 
869    Input Parameters:
870 +  nrows - the number of rows indicated
871 .  rows - the indices of the rows
872 .  ncols - the number of columns in the matrix
873 .  cols - the columns indicated
874 .  dnz - the array that will be passed to the matrix preallocation routines
875 -  ozn - the other array passed to the matrix preallocation routines
876 
877    Level: intermediate
878 
879    Notes:
880     See Users-Manual: ch_performance for more details.
881 
882    Do not malloc or free dnz and onz that is handled internally by these routines
883 
884    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
885 
886   Concepts: preallocation^Matrix
887 
888 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
889           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
890 M*/
891 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
892 { PetscInt __i; \
893   for (__i=0; __i<nc; __i++) {\
894     if (cols[__i] >= __end) onz[row - __rstart]++; \
895     else if (cols[__i] >= row) dnz[row - __rstart]++;\
896   }\
897 }
898 
899 /*MC
900    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
901 
902    Synopsis:
903    #include <petscmat.h>
904    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
905 
906    Not Collective
907 
908    Input Parameters:
909 .  A - matrix
910 .  row - row where values exist (must be local to this process)
911 .  ncols - number of columns
912 .  cols - columns with nonzeros
913 .  dnz - the array that will be passed to the matrix preallocation routines
914 -  ozn - the other array passed to the matrix preallocation routines
915 
916    Level: intermediate
917 
918    Notes:
919     See Users-Manual: ch_performance for more details.
920 
921    Do not malloc or free dnz and onz that is handled internally by these routines
922 
923    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
924 
925   Concepts: preallocation^Matrix
926 
927 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
928           MatPreallocateSymmetricSetLocalBlock()
929 M*/
930 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
931 
932 
933 /*MC
934    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
935        row in a matrix providing the data that one can use to correctly preallocate the matrix.
936 
937    Synopsis:
938    #include <petscmat.h>
939    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
940 
941    Collective on MPI_Comm
942 
943    Input Parameters:
944 +  dnz - the array that was be passed to the matrix preallocation routines
945 -  ozn - the other array passed to the matrix preallocation routines
946 
947    Level: intermediate
948 
949    Notes:
950     See Users-Manual: ch_performance for more details.
951 
952    Do not malloc or free dnz and onz that is handled internally by these routines
953 
954    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
955 
956   Concepts: preallocation^Matrix
957 
958 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
959           MatPreallocateSymmetricSetLocalBlock()
960 M*/
961 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
962 
963 /* Routines unique to particular data structures */
964 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
965 
966 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
967 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
968 
969 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
970 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
971 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
972 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
973 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
974 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
975 
976 #define MAT_SKIP_ALLOCATION -4
977 
978 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
979 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
981 
982 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
984 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
985 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
986 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
987 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
988 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
990 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
991 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
992 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
993 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
994 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
995 
996 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
997 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
998 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
999 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1000 
1001 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1002 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1003 
1004 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1005 
1006 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1007 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1008 /*
1009   These routines are not usually accessed directly, rather solving is
1010   done through the KSP and PC interfaces.
1011 */
1012 
1013 /*J
1014     MatOrderingType - String with the name of a PETSc matrix ordering
1015 
1016    Level: beginner
1017 
1018 .seealso: MatGetOrdering()
1019 J*/
1020 typedef const char* MatOrderingType;
1021 #define MATORDERINGNATURAL     "natural"
1022 #define MATORDERINGND          "nd"
1023 #define MATORDERING1WD         "1wd"
1024 #define MATORDERINGRCM         "rcm"
1025 #define MATORDERINGQMD         "qmd"
1026 #define MATORDERINGROWLENGTH   "rowlength"
1027 #define MATORDERINGWBM         "wbm"
1028 #define MATORDERINGSPECTRAL    "spectral"
1029 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1030 
1031 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1032 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1033 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1034 PETSC_EXTERN PetscFunctionList MatOrderingList;
1035 
1036 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1037 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1038 
1039 /*S
1040     MatFactorShiftType - Numeric Shift.
1041 
1042    Level: beginner
1043 
1044 S*/
1045 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1046 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1047 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1048 
1049 /*S
1050     MatFactorError - indicates what type of error in matrix factor
1051 
1052     Level: beginner
1053 
1054     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1055 
1056 .seealso: MatGetFactor()
1057 S*/
1058 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1059 
1060 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1061 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1062 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1063 
1064 /*S
1065    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1066 
1067    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1068 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1069 
1070    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1071 
1072       You can use MatFactorInfoInitialize() to set default values.
1073 
1074    Level: developer
1075 
1076 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1077           MatFactorInfoInitialize()
1078 
1079 S*/
1080 typedef struct {
1081   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1082   PetscReal     usedt;
1083   PetscReal     dt;             /* drop tolerance */
1084   PetscReal     dtcol;          /* tolerance for pivoting */
1085   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1086   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1087   PetscReal     levels;         /* ICC/ILU(levels) */
1088   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1089                                    factorization may be faster if do not pivot */
1090   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1091   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1092   PetscReal     shiftamount;     /* how large the shift is */
1093 } MatFactorInfo;
1094 
1095 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1106 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1107 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1108 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1109 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1114 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1115 
1116 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1117 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1118 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1119 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1120 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1121 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1122 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1123 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1124 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1125 
1126 /*E
1127     MatSORType - What type of (S)SOR to perform
1128 
1129     Level: beginner
1130 
1131    May be bitwise ORd together
1132 
1133    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1134 
1135    MatSORType may be bitwise ORd together, so do not change the numbers
1136 
1137 .seealso: MatSOR()
1138 E*/
1139 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1140               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1141               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1142               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1143 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1144 
1145 /*
1146     These routines are for efficiently computing Jacobians via finite differences.
1147 */
1148 
1149 /*S
1150      MatColoring - Object for managing the coloring of matrices.
1151 
1152    Level: beginner
1153 
1154   Concepts: matrix, coloring
1155 
1156 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1157 S*/
1158 typedef struct _p_MatColoring* MatColoring;
1159 /*J
1160     MatColoringType - String with the name of a PETSc matrix coloring
1161 
1162    Level: beginner
1163 
1164 .seealso: MatColoringSetType(), MatColoring
1165 J*/
1166 
1167 typedef const  char*           MatColoringType;
1168 #define MATCOLORINGJP      "jp"
1169 #define MATCOLORINGPOWER   "power"
1170 #define MATCOLORINGNATURAL "natural"
1171 #define MATCOLORINGSL      "sl"
1172 #define MATCOLORINGLF      "lf"
1173 #define MATCOLORINGID      "id"
1174 #define MATCOLORINGGREEDY  "greedy"
1175 
1176 /*E
1177    MatColoringWeightType - Type of weight scheme
1178 
1179     Not Collective
1180 
1181 +   MAT_COLORING_RANDOM  - Random weights
1182 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1183 -   MAT_COLORING_LF      - Last-first weighting.
1184 
1185     Level: intermediate
1186 
1187    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1188 
1189 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1190 E*/
1191 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1192 
1193 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1194 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1195 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1196 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1197 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1198 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1200 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1201 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1202 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1203 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1204 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1205 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1206 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1207 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1208 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1209 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1210 
1211 /*S
1212      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1213         and coloring
1214 
1215    Level: beginner
1216 
1217   Concepts: coloring, sparse Jacobian, finite differences
1218 
1219 .seealso:  MatFDColoringCreate()
1220 S*/
1221 typedef struct _p_MatFDColoring* MatFDColoring;
1222 
1223 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1232 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1233 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1234 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1235 
1236 
1237 /*S
1238      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1239 
1240    Level: beginner
1241 
1242   Concepts: coloring, sparse matrix product
1243 
1244 .seealso:  MatTransposeColoringCreate()
1245 S*/
1246 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1247 
1248 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1249 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1250 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1251 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1252 
1253 /*
1254     These routines are for partitioning matrices: currently used only
1255   for adjacency matrix, MatCreateMPIAdj().
1256 */
1257 
1258 /*S
1259      MatPartitioning - Object for managing the partitioning of a matrix or graph
1260 
1261    Level: beginner
1262 
1263   Concepts: partitioning
1264 
1265 .seealso:  MatPartitioningCreate(), MatPartitioningType
1266 S*/
1267 typedef struct _p_MatPartitioning* MatPartitioning;
1268 
1269 /*J
1270     MatPartitioningType - String with the name of a PETSc matrix partitioning
1271 
1272    Level: beginner
1273 dm
1274 .seealso: MatPartitioningCreate(), MatPartitioning
1275 J*/
1276 typedef const char* MatPartitioningType;
1277 #define MATPARTITIONINGCURRENT  "current"
1278 #define MATPARTITIONINGAVERAGE   "average"
1279 #define MATPARTITIONINGSQUARE   "square"
1280 #define MATPARTITIONINGPARMETIS "parmetis"
1281 #define MATPARTITIONINGCHACO    "chaco"
1282 #define MATPARTITIONINGPARTY    "party"
1283 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1284 #define MATPARTITIONINGHIERARCH  "hierarch"
1285 
1286 
1287 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1288 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1289 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1295 
1296 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1297 
1298 
1299 
1300 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1303 
1304 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1307 
1308 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1309 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1310 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1311 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1312 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1313 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1314 
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1326 
1327 #define MP_PARTY_OPT "opt"
1328 #define MP_PARTY_LIN "lin"
1329 #define MP_PARTY_SCA "sca"
1330 #define MP_PARTY_RAN "ran"
1331 #define MP_PARTY_GBF "gbf"
1332 #define MP_PARTY_GCF "gcf"
1333 #define MP_PARTY_BUB "bub"
1334 #define MP_PARTY_DEF "def"
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1336 #define MP_PARTY_HELPFUL_SETS "hs"
1337 #define MP_PARTY_KERNIGHAN_LIN "kl"
1338 #define MP_PARTY_NONE "no"
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1343 
1344 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1345 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1346 
1347 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1351 
1352 /*
1353  * hierarchical partitioning
1354  */
1355 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1359 
1360 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1361 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1362 
1363 /*
1364     If you add entries here you must also add them to petsc/finclude/petscmat.h
1365 */
1366 typedef enum { MATOP_SET_VALUES=0,
1367                MATOP_GET_ROW=1,
1368                MATOP_RESTORE_ROW=2,
1369                MATOP_MULT=3,
1370                MATOP_MULT_ADD=4,
1371                MATOP_MULT_TRANSPOSE=5,
1372                MATOP_MULT_TRANSPOSE_ADD=6,
1373                MATOP_SOLVE=7,
1374                MATOP_SOLVE_ADD=8,
1375                MATOP_SOLVE_TRANSPOSE=9,
1376                MATOP_SOLVE_TRANSPOSE_ADD=10,
1377                MATOP_LUFACTOR=11,
1378                MATOP_CHOLESKYFACTOR=12,
1379                MATOP_SOR=13,
1380                MATOP_TRANSPOSE=14,
1381                MATOP_GETINFO=15,
1382                MATOP_EQUAL=16,
1383                MATOP_GET_DIAGONAL=17,
1384                MATOP_DIAGONAL_SCALE=18,
1385                MATOP_NORM=19,
1386                MATOP_ASSEMBLY_BEGIN=20,
1387                MATOP_ASSEMBLY_END=21,
1388                MATOP_SET_OPTION=22,
1389                MATOP_ZERO_ENTRIES=23,
1390                MATOP_ZERO_ROWS=24,
1391                MATOP_LUFACTOR_SYMBOLIC=25,
1392                MATOP_LUFACTOR_NUMERIC=26,
1393                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1394                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1395                MATOP_SETUP_PREALLOCATION=29,
1396                MATOP_ILUFACTOR_SYMBOLIC=30,
1397                MATOP_ICCFACTOR_SYMBOLIC=31,
1398                MATOP_GET_DIAGONAL_BLOCK=32,
1399                /* MATOP_PLACEHOLDER_33=33, */
1400                MATOP_DUPLICATE=34,
1401                MATOP_FORWARD_SOLVE=35,
1402                MATOP_BACKWARD_SOLVE=36,
1403                MATOP_ILUFACTOR=37,
1404                MATOP_ICCFACTOR=38,
1405                MATOP_AXPY=39,
1406                MATOP_CREATE_SUBMATRICES=40,
1407                MATOP_INCREASE_OVERLAP=41,
1408                MATOP_GET_VALUES=42,
1409                MATOP_COPY=43,
1410                MATOP_GET_ROW_MAX=44,
1411                MATOP_SCALE=45,
1412                MATOP_SHIFT=46,
1413                MATOP_DIAGONAL_SET=47,
1414                MATOP_ZERO_ROWS_COLUMNS=48,
1415                MATOP_SET_RANDOM=49,
1416                MATOP_GET_ROW_IJ=50,
1417                MATOP_RESTORE_ROW_IJ=51,
1418                MATOP_GET_COLUMN_IJ=52,
1419                MATOP_RESTORE_COLUMN_IJ=53,
1420                MATOP_FDCOLORING_CREATE=54,
1421                MATOP_COLORING_PATCH=55,
1422                MATOP_SET_UNFACTORED=56,
1423                MATOP_PERMUTE=57,
1424                MATOP_SET_VALUES_BLOCKED=58,
1425                MATOP_CREATE_SUBMATRIX=59,
1426                MATOP_DESTROY=60,
1427                MATOP_VIEW=61,
1428                MATOP_CONVERT_FROM=62,
1429                MATOP_MATMAT_MULT=63,
1430                MATOP_MATMAT_MULT_SYMBOLIC=64,
1431                MATOP_MATMAT_MULT_NUMERIC=65,
1432                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1433                MATOP_SET_VALUES_LOCAL=67,
1434                MATOP_ZERO_ROWS_LOCAL=68,
1435                MATOP_GET_ROW_MAX_ABS=69,
1436                MATOP_GET_ROW_MIN_ABS=70,
1437                MATOP_CONVERT=71,
1438                MATOP_SET_COLORING=72,
1439                /* MATOP_PLACEHOLDER_73=73, */
1440                MATOP_SET_VALUES_ADIFOR=74,
1441                MATOP_FD_COLORING_APPLY=75,
1442                MATOP_SET_FROM_OPTIONS=76,
1443                MATOP_MULT_CONSTRAINED=77,
1444                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1445                MATOP_FIND_ZERO_DIAGONALS=79,
1446                MATOP_MULT_MULTIPLE=80,
1447                MATOP_SOLVE_MULTIPLE=81,
1448                MATOP_GET_INERTIA=82,
1449                MATOP_LOAD=83,
1450                MATOP_IS_SYMMETRIC=84,
1451                MATOP_IS_HERMITIAN=85,
1452                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1453                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1454                MATOP_GET_VECS=88,
1455                MATOP_MAT_MULT=89,
1456                MATOP_MAT_MULT_SYMBOLIC=90,
1457                MATOP_MAT_MULT_NUMERIC=91,
1458                MATOP_PTAP=92,
1459                MATOP_PTAP_SYMBOLIC=93,
1460                MATOP_PTAP_NUMERIC=94,
1461                MATOP_MAT_TRANSPOSE_MULT=95,
1462                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1463                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1464                /* MATOP_PLACEHOLDER_98=98, */
1465                /* MATOP_PLACEHOLDER_99=99, */
1466                /* MATOP_PLACEHOLDER_100=100, */
1467                /* MATOP_PLACEHOLDER_101=101, */
1468                MATOP_CONJUGATE=102,
1469                /* MATOP_PLACEHOLDER_103=103, */
1470                MATOP_SET_VALUES_ROW=104,
1471                MATOP_REAL_PART=105,
1472                MATOP_IMAGINARY_PART=106,
1473                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1474                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1475                MATOP_MAT_SOLVE=109,
1476                MATOP_MAT_SOLVE_TRANSPOSE=110,
1477                MATOP_GET_ROW_MIN=111,
1478                MATOP_GET_COLUMN_VECTOR=112,
1479                MATOP_MISSING_DIAGONAL=113,
1480                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1481                MATOP_CREATE=115,
1482                MATOP_GET_GHOSTS=116,
1483                MATOP_GET_LOCAL_SUB_MATRIX=117,
1484                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1485                MATOP_MULT_DIAGONAL_BLOCK=119,
1486                MATOP_HERMITIAN_TRANSPOSE=120,
1487                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1488                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1489                MATOP_GET_MULTI_PROC_BLOCK=123,
1490                MATOP_FIND_NONZERO_ROWS=124,
1491                MATOP_GET_COLUMN_NORMS=125,
1492                MATOP_INVERT_BLOCK_DIAGONAL=126,
1493                /* MATOP_PLACEHOLDER_127=127, */
1494                MATOP_GET_SUB_MATRICES_PARALLE=128,
1495                MATOP_SET_VALUES_BATCH=129,
1496                MATOP_TRANSPOSE_MAT_MULT=130,
1497                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1498                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1499                MATOP_TRANSPOSE_COLORING_CREAT=133,
1500                MATOP_TRANS_COLORING_APPLY_SPT=134,
1501                MATOP_TRANS_COLORING_APPLY_DEN=135,
1502                MATOP_RART=136,
1503                MATOP_RART_SYMBOLIC=137,
1504                MATOP_RART_NUMERIC=138,
1505                MATOP_SET_BLOCK_SIZES=139,
1506                MATOP_AYPX=140,
1507                MATOP_RESIDUAL=141,
1508                MATOP_FDCOLORING_SETUP=142,
1509                MATOP_MPICONCATENATESEQ=144
1510              } MatOperation;
1511 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1512 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1513 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1514 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1515 
1516 /*
1517    Codes for matrices stored on disk. By default they are
1518    stored in a universal format. By changing the format with
1519    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1520    be stored in a way natural for the matrix, for example dense matrices
1521    would be stored as dense. Matrices stored this way may only be
1522    read into matrices of the same type.
1523 */
1524 #define MATRIX_BINARY_FORMAT_DENSE -1
1525 
1526 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1527 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1528 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1529 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1530 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1531 
1532 /*S
1533      MatNullSpace - Object that removes a null space from a vector, i.e.
1534          orthogonalizes the vector to a subsapce
1535 
1536    Level: advanced
1537 
1538   Concepts: matrix; linear operator, null space
1539 
1540   Users manual sections:
1541 .   sec_singular
1542 
1543 .seealso:  MatNullSpaceCreate()
1544 S*/
1545 typedef struct _p_MatNullSpace* MatNullSpace;
1546 
1547 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1551 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1552 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1553 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1554 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1555 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1556 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1558 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1561 
1562 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1563 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1564 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1565 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1566 
1567 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1568 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1569 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1570 
1571 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1572 
1573 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1574 
1575 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1581 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1584 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1586 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1588 
1589 /*S
1590     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1591               Jacobian vector products
1592 
1593     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1594 
1595            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1596 
1597     Level: developer
1598 
1599 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1600 S*/
1601 typedef struct _p_MatMFFD* MatMFFD;
1602 
1603 /*J
1604     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1605 
1606    Level: beginner
1607 
1608 .seealso: MatMFFDSetType(), MatMFFDRegister()
1609 J*/
1610 typedef const char* MatMFFDType;
1611 #define MATMFFD_DS  "ds"
1612 #define MATMFFD_WP  "wp"
1613 
1614 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1615 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1616 
1617 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1618 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1619 
1620 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1621 
1622 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1623 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1624 
1625 /*
1626    PETSc interface to MUMPS
1627 */
1628 #ifdef PETSC_HAVE_MUMPS
1629 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1630 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1631 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1633 
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1635 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1637 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1638 #endif
1639 
1640 /*
1641    PETSc interface to Mkl_Pardiso
1642 */
1643 #ifdef PETSC_HAVE_MKL_PARDISO
1644 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1645 #endif
1646 
1647 /*
1648    PETSc interface to Mkl_CPardiso
1649 */
1650 #ifdef PETSC_HAVE_MKL_CPARDISO
1651 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1652 #endif
1653 
1654 /*
1655    PETSc interface to SUPERLU
1656 */
1657 #ifdef PETSC_HAVE_SUPERLU
1658 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1659 #endif
1660 
1661 /*
1662    PETSc interface to SUPERLU_DIST
1663 */
1664 #ifdef PETSC_HAVE_SUPERLU_DIST
1665 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1666 #endif
1667 
1668 /*
1669    PETSc interface to STRUMPACK
1670 */
1671 #ifdef PETSC_HAVE_STRUMPACK
1672 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1673 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1674 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1675 #endif
1676 
1677 
1678 #ifdef PETSC_HAVE_CUDA
1679 /*E
1680     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1681     matrices.
1682 
1683     Not Collective
1684 
1685 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1686 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1687 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1688 
1689     Level: intermediate
1690 
1691    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1692 
1693 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1694 E*/
1695 
1696 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1697 
1698 /* these will be strings associated with enumerated type defined above */
1699 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1700 
1701 /*E
1702     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1703     matrices whose operation should use a particular storage format.
1704 
1705     Not Collective
1706 
1707 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1708 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1709 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1710 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1711 
1712     Level: intermediate
1713 
1714 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1715 E*/
1716 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1717 
1718 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1719 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1720 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1721 #endif
1722 
1723 #if defined(PETSC_HAVE_CUSP)
1724 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1725 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1726 
1727 /*E
1728     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1729     matrices.
1730 
1731     Not Collective
1732 
1733 +   MAT_CUSP_CSR - Compressed Sparse Row
1734 .   MAT_CUSP_DIA - Diagonal
1735 -   MAT_CUSP_ELL - Ellpack
1736 
1737     Level: intermediate
1738 
1739    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1740 
1741 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1742 E*/
1743 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1744 
1745 /* these will be strings associated with enumerated type defined above */
1746 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1747 
1748 /*E
1749     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1750     matrices whose operation should use a particular storage format.
1751 
1752     Not Collective
1753 
1754 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1755 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1756 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1757 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1758 
1759     Level: intermediate
1760 
1761    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1762 
1763 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1764 E*/
1765 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1766 
1767 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1768 #endif
1769 
1770 #if defined(PETSC_HAVE_VIENNACL)
1771 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1772 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1773 #endif
1774 
1775 /*
1776    PETSc interface to FFTW
1777 */
1778 #if defined(PETSC_HAVE_FFTW)
1779 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1780 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1781 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1782 #endif
1783 
1784 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1785 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1786 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1787 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1788 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1789 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1790 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1791 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1792 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1793 
1794 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1795 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1796 
1797 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1798 
1799 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1800 
1801 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1802 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1803 
1804 #endif
1805