xref: /petsc/include/petscmat.h (revision c41d012eaa030c19a2678110979e681874ea11d0)
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    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
323 
324    Developer Notes: Entries that are negative need not be called collectively by all processes.
325 
326 .seealso: MatSetOption()
327 E*/
328 typedef enum {MAT_OPTION_MIN = -3,
329               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
330               MAT_ROW_ORIENTED = -1,
331               MAT_SYMMETRIC = 1,
332               MAT_STRUCTURALLY_SYMMETRIC = 2,
333               MAT_NEW_DIAGONALS = 3,
334               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
335               MAT_USE_HASH_TABLE = 5,
336               MAT_KEEP_NONZERO_PATTERN = 6,
337               MAT_IGNORE_ZERO_ENTRIES = 7,
338               MAT_USE_INODES = 8,
339               MAT_HERMITIAN = 9,
340               MAT_SYMMETRY_ETERNAL = 10,
341               MAT_NEW_NONZERO_LOCATION_ERR = 11,
342               MAT_IGNORE_LOWER_TRIANGULAR = 12,
343               MAT_ERROR_LOWER_TRIANGULAR = 13,
344               MAT_GETROW_UPPERTRIANGULAR = 14,
345               MAT_SPD = 15,
346               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
347               MAT_NO_OFF_PROC_ENTRIES = 17,
348               MAT_NEW_NONZERO_LOCATIONS = 18,
349               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
350               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
351               MAT_SUBMAT_SINGLEIS = 21,
352               MAT_STRUCTURE_ONLY = 22,
353               MAT_OPTION_MAX = 23} MatOption;
354 
355 PETSC_EXTERN const char *const *MatOptions;
356 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
357 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
358 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
359 
360 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
361 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
363 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
364 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
365 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
369 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
373 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
374 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
375 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
376 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
377 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
378 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
379 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
380 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
381 
382 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
388 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
389 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
391 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
392 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
393 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
394 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
395 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
396 
397 /*E
398     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
399   its numerical values copied over or just its nonzero structure.
400 
401     Level: beginner
402 
403    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
404 
405 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
406 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
407 $                               have several matrices with the same nonzero pattern.
408 
409 .seealso: MatDuplicate()
410 E*/
411 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
412 
413 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
414 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
415 
416 
417 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
418 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
419 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
421 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
422 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
423 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
424 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
425 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
426 
427 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
428 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
429 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
430 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
431 
432 /*S
433      MatInfo - Context of matrix information, used with MatGetInfo()
434 
435    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
436 
437    Level: intermediate
438 
439   Concepts: matrix^nonzero information
440 
441 .seealso:  MatGetInfo(), MatInfoType
442 S*/
443 typedef struct {
444   PetscLogDouble block_size;                         /* block size */
445   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
446   PetscLogDouble memory;                             /* memory allocated */
447   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
448   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
449   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
450   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
451 } MatInfo;
452 
453 /*E
454     MatInfoType - Indicates if you want information about the local part of the matrix,
455      the entire parallel matrix or the maximum over all the local parts.
456 
457     Level: beginner
458 
459    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
460 
461 .seealso: MatGetInfo(), MatInfo
462 E*/
463 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
464 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
465 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
466 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
468 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
469 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
470 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
471 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
472 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
473 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
474 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
476 
477 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
480 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
481 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
482 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
483 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
484 
485 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
486 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
487 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
488 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
490 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
491 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
492 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
493 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
494 
495 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
496 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
498 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
499 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
500 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
501 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
502 
503 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
504 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);}
505 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
506 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);}
507 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
508 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
509 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
510 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);}
511 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
512 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
513 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
514 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
515 
516 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
517 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
518 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
521 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
522 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
523 
524 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
525 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
526 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
527 
528 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
531 
532 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
534 
535 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
538 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
541 
542 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
544 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
545 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
546 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
547 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
548 
549 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
550 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
551 
552 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
553 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
554 
555 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
556 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
557 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
558 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
563 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
564 
565 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
566 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
567 
568 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
571 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
572 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
573 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
574 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
575 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
576 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
577 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
578 
579 /*MC
580    MatSetValue - Set a single entry into a matrix.
581 
582    Not collective
583 
584    Synopsis:
585      #include <petscmat.h>
586      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
587 
588    Input Parameters:
589 +  m - the matrix
590 .  row - the row location of the entry
591 .  col - the column location of the entry
592 .  value - the value to insert
593 -  mode - either INSERT_VALUES or ADD_VALUES
594 
595    Notes:
596    For efficiency one should use MatSetValues() and set several or many
597    values simultaneously if possible.
598 
599    Level: beginner
600 
601 .seealso: MatSetValues(), MatSetValueLocal()
602 M*/
603 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
604 
605 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
606 
607 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
608 
609 /*MC
610    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
611        row in a matrix providing the data that one can use to correctly preallocate the matrix.
612 
613    Synopsis:
614    #include <petscmat.h>
615    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
616 
617    Collective on MPI_Comm
618 
619    Input Parameters:
620 +  comm - the communicator that will share the eventually allocated matrix
621 .  nrows - the number of LOCAL rows in the matrix
622 -  ncols - the number of LOCAL columns in the matrix
623 
624    Output Parameters:
625 +  dnz - the array that will be passed to the matrix preallocation routines
626 -  ozn - the other array passed to the matrix preallocation routines
627 
628    Level: intermediate
629 
630    Notes:
631     See Users-Manual: ch_performance for more details.
632 
633    Do not malloc or free dnz and onz, that is handled internally by these routines
634 
635    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
636 
637    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
638 
639   Concepts: preallocation^Matrix
640 
641 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
642           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
643 M*/
644 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
645 { \
646   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
647   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
648   __start = 0; __end = __start;                                         \
649   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
650   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
651 
652 /*MC
653    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
654        inserted using a local number of the rows and columns
655 
656    Synopsis:
657    #include <petscmat.h>
658    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
659 
660    Not Collective
661 
662    Input Parameters:
663 +  map - the row mapping from local numbering to global numbering
664 .  nrows - the number of rows indicated
665 .  rows - the indices of the rows
666 .  cmap - the column mapping from local to global numbering
667 .  ncols - the number of columns in the matrix
668 .  cols - the columns indicated
669 .  dnz - the array that will be passed to the matrix preallocation routines
670 -  ozn - the other array passed to the matrix preallocation routines
671 
672    Level: intermediate
673 
674    Notes:
675     See Users-Manual: ch_performance for more details.
676 
677    Do not malloc or free dnz and onz, that is handled internally by these routines
678 
679   Concepts: preallocation^Matrix
680 
681 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
682           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
683 M*/
684 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
685 {\
686   PetscInt __l;\
687   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
688   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
689   for (__l=0;__l<nrows;__l++) {\
690     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
691   }\
692 }
693 
694 /*MC
695    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
696        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
697 
698    Synopsis:
699    #include <petscmat.h>
700    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
701 
702    Not Collective
703 
704    Input Parameters:
705 +  map - the row mapping from local numbering to global numbering
706 .  nrows - the number of rows indicated
707 .  rows - the indices of the rows (these values are mapped to the global values)
708 .  cmap - the column mapping from local to global numbering
709 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
710 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
711 .  dnz - the array that will be passed to the matrix preallocation routines
712 -  ozn - the other array passed to the matrix preallocation routines
713 
714    Level: intermediate
715 
716    Notes:
717     See Users-Manual: ch_performance for more details.
718 
719    Do not malloc or free dnz and onz, that is handled internally by these routines
720 
721   Concepts: preallocation^Matrix
722 
723 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
724           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
725 M*/
726 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
727 {\
728   PetscInt __l;\
729   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
730   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
731   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
732   for (__l=0;__l<nrows;__l++) {\
733     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
734   }\
735 }
736 
737 /*MC
738    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
739        inserted using a local number of the rows and columns
740 
741    Synopsis:
742    #include <petscmat.h>
743    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
744 
745    Not Collective
746 
747    Input Parameters:
748 +  map - the row mapping from local numbering to global numbering
749 .  nrows - the number of rows indicated
750 .  rows - the indices of the rows
751 .  cmap - the column mapping from local to global numbering
752 .  ncols - the number of columns in the matrix
753 .  cols - the columns indicated
754 .  dnz - the array that will be passed to the matrix preallocation routines
755 -  ozn - the other array passed to the matrix preallocation routines
756 
757    Level: intermediate
758 
759    Notes:
760     See Users-Manual: ch_performance for more details.
761 
762    Do not malloc or free dnz and onz, that is handled internally by these routines
763 
764   Concepts: preallocation^Matrix
765 
766 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
767           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
768 M*/
769 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
770 {\
771   PetscInt __l;\
772   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
773   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
774   for (__l=0;__l<nrows;__l++) {\
775     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
776   }\
777 }
778 
779 /*MC
780    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
781        inserted using a local number of the rows and columns
782 
783    Synopsis:
784    #include <petscmat.h>
785    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
786 
787    Not Collective
788 
789    Input Parameters:
790 +  map - the mapping between local numbering and global numbering
791 .  nrows - the number of rows indicated
792 .  rows - the indices of the rows
793 .  ncols - the number of columns in the matrix
794 .  cols - the columns indicated
795 .  dnz - the array that will be passed to the matrix preallocation routines
796 -  ozn - the other array passed to the matrix preallocation routines
797 
798    Level: intermediate
799 
800    Notes:
801     See Users-Manual: ch_performance for more details.
802 
803    Do not malloc or free dnz and onz that is handled internally by these routines
804 
805   Concepts: preallocation^Matrix
806 
807 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
808           MatPreallocateInitialize(),  MatPreallocateSetLocal()
809 M*/
810 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
811 {\
812   PetscInt __l;\
813   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
814   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
815   for (__l=0;__l<nrows;__l++) {\
816     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
817   }\
818 }
819 /*MC
820    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
821        inserted using a local number of the rows and columns
822 
823    Synopsis:
824    #include <petscmat.h>
825    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
826 
827    Not Collective
828 
829    Input Parameters:
830 +  row - the row
831 .  ncols - the number of columns in the matrix
832 -  cols - the columns indicated
833 
834    Output Parameters:
835 +  dnz - the array that will be passed to the matrix preallocation routines
836 -  ozn - the other array passed to the matrix preallocation routines
837 
838    Level: intermediate
839 
840    Notes:
841     See Users-Manual: ch_performance for more details.
842 
843    Do not malloc or free dnz and onz that is handled internally by these routines
844 
845    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
846 
847   Concepts: preallocation^Matrix
848 
849 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
850           MatPreallocateInitialize(), MatPreallocateSetLocal()
851 M*/
852 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
853 { PetscInt __i; \
854   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);\
855   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);\
856   for (__i=0; __i<nc; __i++) {\
857     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
858     else dnz[row - __rstart]++;\
859   }\
860 }
861 
862 /*MC
863    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
864        inserted using a local number of the rows and columns
865 
866    Synopsis:
867    #include <petscmat.h>
868    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
869 
870    Not Collective
871 
872    Input Parameters:
873 +  nrows - the number of rows indicated
874 .  rows - the indices of the rows
875 .  ncols - the number of columns in the matrix
876 .  cols - the columns indicated
877 .  dnz - the array that will be passed to the matrix preallocation routines
878 -  ozn - the other array passed to the matrix preallocation routines
879 
880    Level: intermediate
881 
882    Notes:
883     See Users-Manual: ch_performance for more details.
884 
885    Do not malloc or free dnz and onz that is handled internally by these routines
886 
887    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
888 
889   Concepts: preallocation^Matrix
890 
891 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
892           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
893 M*/
894 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
895 { PetscInt __i; \
896   for (__i=0; __i<nc; __i++) {\
897     if (cols[__i] >= __end) onz[row - __rstart]++; \
898     else if (cols[__i] >= row) dnz[row - __rstart]++;\
899   }\
900 }
901 
902 /*MC
903    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
904 
905    Synopsis:
906    #include <petscmat.h>
907    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
908 
909    Not Collective
910 
911    Input Parameters:
912 .  A - matrix
913 .  row - row where values exist (must be local to this process)
914 .  ncols - number of columns
915 .  cols - columns with nonzeros
916 .  dnz - the array that will be passed to the matrix preallocation routines
917 -  ozn - the other array passed to the matrix preallocation routines
918 
919    Level: intermediate
920 
921    Notes:
922     See Users-Manual: ch_performance for more details.
923 
924    Do not malloc or free dnz and onz that is handled internally by these routines
925 
926    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
927 
928   Concepts: preallocation^Matrix
929 
930 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
931           MatPreallocateSymmetricSetLocalBlock()
932 M*/
933 #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);}
934 
935 
936 /*MC
937    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
938        row in a matrix providing the data that one can use to correctly preallocate the matrix.
939 
940    Synopsis:
941    #include <petscmat.h>
942    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
943 
944    Collective on MPI_Comm
945 
946    Input Parameters:
947 +  dnz - the array that was be passed to the matrix preallocation routines
948 -  ozn - the other array passed to the matrix preallocation routines
949 
950    Level: intermediate
951 
952    Notes:
953     See Users-Manual: ch_performance for more details.
954 
955    Do not malloc or free dnz and onz that is handled internally by these routines
956 
957    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
958 
959   Concepts: preallocation^Matrix
960 
961 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
962           MatPreallocateSymmetricSetLocalBlock()
963 M*/
964 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
965 
966 /* Routines unique to particular data structures */
967 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
968 
969 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
970 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
971 
972 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
973 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
974 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
975 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
976 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
977 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
978 
979 #define MAT_SKIP_ALLOCATION -4
980 
981 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
984 
985 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
986 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
987 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
988 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
989 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
990 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
991 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
992 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
993 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
994 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
995 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
996 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
997 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
998 
999 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1000 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1001 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1002 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1003 
1004 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1005 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1006 
1007 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1008 
1009 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1010 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1011 /*
1012   These routines are not usually accessed directly, rather solving is
1013   done through the KSP and PC interfaces.
1014 */
1015 
1016 /*J
1017     MatOrderingType - String with the name of a PETSc matrix ordering
1018 
1019    Level: beginner
1020 
1021 .seealso: MatGetOrdering()
1022 J*/
1023 typedef const char* MatOrderingType;
1024 #define MATORDERINGNATURAL     "natural"
1025 #define MATORDERINGND          "nd"
1026 #define MATORDERING1WD         "1wd"
1027 #define MATORDERINGRCM         "rcm"
1028 #define MATORDERINGQMD         "qmd"
1029 #define MATORDERINGROWLENGTH   "rowlength"
1030 #define MATORDERINGWBM         "wbm"
1031 #define MATORDERINGSPECTRAL    "spectral"
1032 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1033 
1034 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1035 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1036 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1037 PETSC_EXTERN PetscFunctionList MatOrderingList;
1038 
1039 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1040 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1041 
1042 /*S
1043     MatFactorShiftType - Numeric Shift.
1044 
1045    Level: beginner
1046 
1047 S*/
1048 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1049 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1050 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1051 
1052 /*S
1053     MatFactorError - indicates what type of error in matrix factor
1054 
1055     Level: beginner
1056 
1057     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1058 
1059 .seealso: MatGetFactor()
1060 S*/
1061 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1062 
1063 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1064 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1065 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1066 
1067 /*S
1068    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1069 
1070    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1071 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1072 
1073    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1074 
1075       You can use MatFactorInfoInitialize() to set default values.
1076 
1077    Level: developer
1078 
1079 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1080           MatFactorInfoInitialize()
1081 
1082 S*/
1083 typedef struct {
1084   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1085   PetscReal     usedt;
1086   PetscReal     dt;             /* drop tolerance */
1087   PetscReal     dtcol;          /* tolerance for pivoting */
1088   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1089   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1090   PetscReal     levels;         /* ICC/ILU(levels) */
1091   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1092                                    factorization may be faster if do not pivot */
1093   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1094   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1095   PetscReal     shiftamount;     /* how large the shift is */
1096 } MatFactorInfo;
1097 
1098 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1106 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1107 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1108 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1109 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1110 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1114 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1115 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1116 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1117 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1118 
1119 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1120 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1121 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1122 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1123 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1124 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1125 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1126 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1127 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1128 
1129 /*E
1130     MatSORType - What type of (S)SOR to perform
1131 
1132     Level: beginner
1133 
1134    May be bitwise ORd together
1135 
1136    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1137 
1138    MatSORType may be bitwise ORd together, so do not change the numbers
1139 
1140 .seealso: MatSOR()
1141 E*/
1142 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1143               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1144               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1145               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1146 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1147 
1148 /*
1149     These routines are for efficiently computing Jacobians via finite differences.
1150 */
1151 
1152 /*S
1153      MatColoring - Object for managing the coloring of matrices.
1154 
1155    Level: beginner
1156 
1157   Concepts: matrix, coloring
1158 
1159 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1160 S*/
1161 typedef struct _p_MatColoring* MatColoring;
1162 /*J
1163     MatColoringType - String with the name of a PETSc matrix coloring
1164 
1165    Level: beginner
1166 
1167 .seealso: MatColoringSetType(), MatColoring
1168 J*/
1169 
1170 typedef const  char*           MatColoringType;
1171 #define MATCOLORINGJP      "jp"
1172 #define MATCOLORINGPOWER   "power"
1173 #define MATCOLORINGNATURAL "natural"
1174 #define MATCOLORINGSL      "sl"
1175 #define MATCOLORINGLF      "lf"
1176 #define MATCOLORINGID      "id"
1177 #define MATCOLORINGGREEDY  "greedy"
1178 
1179 /*E
1180    MatColoringWeightType - Type of weight scheme
1181 
1182     Not Collective
1183 
1184 +   MAT_COLORING_RANDOM  - Random weights
1185 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1186 -   MAT_COLORING_LF      - Last-first weighting.
1187 
1188     Level: intermediate
1189 
1190    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1191 
1192 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1193 E*/
1194 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1195 
1196 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1197 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1198 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1199 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1200 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1201 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1202 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1203 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1204 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1205 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1206 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1207 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1208 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1209 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1210 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1211 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1212 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1213 
1214 /*S
1215      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1216         and coloring
1217 
1218    Level: beginner
1219 
1220   Concepts: coloring, sparse Jacobian, finite differences
1221 
1222 .seealso:  MatFDColoringCreate()
1223 S*/
1224 typedef struct _p_MatFDColoring* MatFDColoring;
1225 
1226 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1232 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1233 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1234 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1235 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1236 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1237 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1238 
1239 
1240 /*S
1241      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1242 
1243    Level: beginner
1244 
1245   Concepts: coloring, sparse matrix product
1246 
1247 .seealso:  MatTransposeColoringCreate()
1248 S*/
1249 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1250 
1251 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1252 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1253 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1254 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1255 
1256 /*
1257     These routines are for partitioning matrices: currently used only
1258   for adjacency matrix, MatCreateMPIAdj().
1259 */
1260 
1261 /*S
1262      MatPartitioning - Object for managing the partitioning of a matrix or graph
1263 
1264    Level: beginner
1265 
1266   Concepts: partitioning
1267 
1268 .seealso:  MatPartitioningCreate(), MatPartitioningType
1269 S*/
1270 typedef struct _p_MatPartitioning* MatPartitioning;
1271 
1272 /*J
1273     MatPartitioningType - String with the name of a PETSc matrix partitioning
1274 
1275    Level: beginner
1276 dm
1277 .seealso: MatPartitioningCreate(), MatPartitioning
1278 J*/
1279 typedef const char* MatPartitioningType;
1280 #define MATPARTITIONINGCURRENT  "current"
1281 #define MATPARTITIONINGAVERAGE   "average"
1282 #define MATPARTITIONINGSQUARE   "square"
1283 #define MATPARTITIONINGPARMETIS "parmetis"
1284 #define MATPARTITIONINGCHACO    "chaco"
1285 #define MATPARTITIONINGPARTY    "party"
1286 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1287 #define MATPARTITIONINGHIERARCH  "hierarch"
1288 
1289 
1290 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1298 
1299 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1300 
1301 
1302 
1303 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1306 
1307 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1310 
1311 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1312 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1313 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1314 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1315 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1316 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1317 
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1329 
1330 #define MP_PARTY_OPT "opt"
1331 #define MP_PARTY_LIN "lin"
1332 #define MP_PARTY_SCA "sca"
1333 #define MP_PARTY_RAN "ran"
1334 #define MP_PARTY_GBF "gbf"
1335 #define MP_PARTY_GCF "gcf"
1336 #define MP_PARTY_BUB "bub"
1337 #define MP_PARTY_DEF "def"
1338 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1339 #define MP_PARTY_HELPFUL_SETS "hs"
1340 #define MP_PARTY_KERNIGHAN_LIN "kl"
1341 #define MP_PARTY_NONE "no"
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1346 
1347 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1348 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1349 
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1354 
1355 /*
1356  * hierarchical partitioning
1357  */
1358 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1362 
1363 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1364 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1365 
1366 /*
1367     If you add entries here you must also add them to petsc/finclude/petscmat.h
1368 */
1369 typedef enum { MATOP_SET_VALUES=0,
1370                MATOP_GET_ROW=1,
1371                MATOP_RESTORE_ROW=2,
1372                MATOP_MULT=3,
1373                MATOP_MULT_ADD=4,
1374                MATOP_MULT_TRANSPOSE=5,
1375                MATOP_MULT_TRANSPOSE_ADD=6,
1376                MATOP_SOLVE=7,
1377                MATOP_SOLVE_ADD=8,
1378                MATOP_SOLVE_TRANSPOSE=9,
1379                MATOP_SOLVE_TRANSPOSE_ADD=10,
1380                MATOP_LUFACTOR=11,
1381                MATOP_CHOLESKYFACTOR=12,
1382                MATOP_SOR=13,
1383                MATOP_TRANSPOSE=14,
1384                MATOP_GETINFO=15,
1385                MATOP_EQUAL=16,
1386                MATOP_GET_DIAGONAL=17,
1387                MATOP_DIAGONAL_SCALE=18,
1388                MATOP_NORM=19,
1389                MATOP_ASSEMBLY_BEGIN=20,
1390                MATOP_ASSEMBLY_END=21,
1391                MATOP_SET_OPTION=22,
1392                MATOP_ZERO_ENTRIES=23,
1393                MATOP_ZERO_ROWS=24,
1394                MATOP_LUFACTOR_SYMBOLIC=25,
1395                MATOP_LUFACTOR_NUMERIC=26,
1396                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1397                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1398                MATOP_SETUP_PREALLOCATION=29,
1399                MATOP_ILUFACTOR_SYMBOLIC=30,
1400                MATOP_ICCFACTOR_SYMBOLIC=31,
1401                MATOP_GET_DIAGONAL_BLOCK=32,
1402                /* MATOP_PLACEHOLDER_33=33, */
1403                MATOP_DUPLICATE=34,
1404                MATOP_FORWARD_SOLVE=35,
1405                MATOP_BACKWARD_SOLVE=36,
1406                MATOP_ILUFACTOR=37,
1407                MATOP_ICCFACTOR=38,
1408                MATOP_AXPY=39,
1409                MATOP_CREATE_SUBMATRICES=40,
1410                MATOP_INCREASE_OVERLAP=41,
1411                MATOP_GET_VALUES=42,
1412                MATOP_COPY=43,
1413                MATOP_GET_ROW_MAX=44,
1414                MATOP_SCALE=45,
1415                MATOP_SHIFT=46,
1416                MATOP_DIAGONAL_SET=47,
1417                MATOP_ZERO_ROWS_COLUMNS=48,
1418                MATOP_SET_RANDOM=49,
1419                MATOP_GET_ROW_IJ=50,
1420                MATOP_RESTORE_ROW_IJ=51,
1421                MATOP_GET_COLUMN_IJ=52,
1422                MATOP_RESTORE_COLUMN_IJ=53,
1423                MATOP_FDCOLORING_CREATE=54,
1424                MATOP_COLORING_PATCH=55,
1425                MATOP_SET_UNFACTORED=56,
1426                MATOP_PERMUTE=57,
1427                MATOP_SET_VALUES_BLOCKED=58,
1428                MATOP_CREATE_SUBMATRIX=59,
1429                MATOP_DESTROY=60,
1430                MATOP_VIEW=61,
1431                MATOP_CONVERT_FROM=62,
1432                MATOP_MATMAT_MULT=63,
1433                MATOP_MATMAT_MULT_SYMBOLIC=64,
1434                MATOP_MATMAT_MULT_NUMERIC=65,
1435                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1436                MATOP_SET_VALUES_LOCAL=67,
1437                MATOP_ZERO_ROWS_LOCAL=68,
1438                MATOP_GET_ROW_MAX_ABS=69,
1439                MATOP_GET_ROW_MIN_ABS=70,
1440                MATOP_CONVERT=71,
1441                MATOP_SET_COLORING=72,
1442                /* MATOP_PLACEHOLDER_73=73, */
1443                MATOP_SET_VALUES_ADIFOR=74,
1444                MATOP_FD_COLORING_APPLY=75,
1445                MATOP_SET_FROM_OPTIONS=76,
1446                MATOP_MULT_CONSTRAINED=77,
1447                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1448                MATOP_FIND_ZERO_DIAGONALS=79,
1449                MATOP_MULT_MULTIPLE=80,
1450                MATOP_SOLVE_MULTIPLE=81,
1451                MATOP_GET_INERTIA=82,
1452                MATOP_LOAD=83,
1453                MATOP_IS_SYMMETRIC=84,
1454                MATOP_IS_HERMITIAN=85,
1455                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1456                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1457                MATOP_GET_VECS=88,
1458                MATOP_MAT_MULT=89,
1459                MATOP_MAT_MULT_SYMBOLIC=90,
1460                MATOP_MAT_MULT_NUMERIC=91,
1461                MATOP_PTAP=92,
1462                MATOP_PTAP_SYMBOLIC=93,
1463                MATOP_PTAP_NUMERIC=94,
1464                MATOP_MAT_TRANSPOSE_MULT=95,
1465                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1466                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1467                /* MATOP_PLACEHOLDER_98=98, */
1468                /* MATOP_PLACEHOLDER_99=99, */
1469                /* MATOP_PLACEHOLDER_100=100, */
1470                /* MATOP_PLACEHOLDER_101=101, */
1471                MATOP_CONJUGATE=102,
1472                /* MATOP_PLACEHOLDER_103=103, */
1473                MATOP_SET_VALUES_ROW=104,
1474                MATOP_REAL_PART=105,
1475                MATOP_IMAGINARY_PART=106,
1476                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1477                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1478                MATOP_MAT_SOLVE=109,
1479                MATOP_MAT_SOLVE_TRANSPOSE=110,
1480                MATOP_GET_ROW_MIN=111,
1481                MATOP_GET_COLUMN_VECTOR=112,
1482                MATOP_MISSING_DIAGONAL=113,
1483                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1484                MATOP_CREATE=115,
1485                MATOP_GET_GHOSTS=116,
1486                MATOP_GET_LOCAL_SUB_MATRIX=117,
1487                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1488                MATOP_MULT_DIAGONAL_BLOCK=119,
1489                MATOP_HERMITIAN_TRANSPOSE=120,
1490                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1491                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1492                MATOP_GET_MULTI_PROC_BLOCK=123,
1493                MATOP_FIND_NONZERO_ROWS=124,
1494                MATOP_GET_COLUMN_NORMS=125,
1495                MATOP_INVERT_BLOCK_DIAGONAL=126,
1496                /* MATOP_PLACEHOLDER_127=127, */
1497                MATOP_GET_SUB_MATRICES_PARALLE=128,
1498                MATOP_SET_VALUES_BATCH=129,
1499                MATOP_TRANSPOSE_MAT_MULT=130,
1500                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1501                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1502                MATOP_TRANSPOSE_COLORING_CREAT=133,
1503                MATOP_TRANS_COLORING_APPLY_SPT=134,
1504                MATOP_TRANS_COLORING_APPLY_DEN=135,
1505                MATOP_RART=136,
1506                MATOP_RART_SYMBOLIC=137,
1507                MATOP_RART_NUMERIC=138,
1508                MATOP_SET_BLOCK_SIZES=139,
1509                MATOP_AYPX=140,
1510                MATOP_RESIDUAL=141,
1511                MATOP_FDCOLORING_SETUP=142,
1512                MATOP_MPICONCATENATESEQ=144
1513              } MatOperation;
1514 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1515 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1516 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1517 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1518 
1519 /*
1520    Codes for matrices stored on disk. By default they are
1521    stored in a universal format. By changing the format with
1522    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1523    be stored in a way natural for the matrix, for example dense matrices
1524    would be stored as dense. Matrices stored this way may only be
1525    read into matrices of the same type.
1526 */
1527 #define MATRIX_BINARY_FORMAT_DENSE -1
1528 
1529 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1530 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1531 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1532 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1533 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1534 
1535 /*S
1536      MatNullSpace - Object that removes a null space from a vector, i.e.
1537          orthogonalizes the vector to a subsapce
1538 
1539    Level: advanced
1540 
1541   Concepts: matrix; linear operator, null space
1542 
1543   Users manual sections:
1544 .   sec_singular
1545 
1546 .seealso:  MatNullSpaceCreate()
1547 S*/
1548 typedef struct _p_MatNullSpace* MatNullSpace;
1549 
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1553 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1554 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1555 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1556 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1557 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1558 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1559 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1561 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1562 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1563 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1564 
1565 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1566 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1567 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1568 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1569 
1570 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1571 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1572 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1573 
1574 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1575 
1576 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1577 
1578 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1583 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1584 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1587 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1589 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1590 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1591 
1592 /*S
1593     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1594               Jacobian vector products
1595 
1596     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1597 
1598            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1599 
1600     Level: developer
1601 
1602 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1603 S*/
1604 typedef struct _p_MatMFFD* MatMFFD;
1605 
1606 /*J
1607     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1608 
1609    Level: beginner
1610 
1611 .seealso: MatMFFDSetType(), MatMFFDRegister()
1612 J*/
1613 typedef const char* MatMFFDType;
1614 #define MATMFFD_DS  "ds"
1615 #define MATMFFD_WP  "wp"
1616 
1617 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1618 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1619 
1620 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1621 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1622 
1623 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1624 
1625 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1626 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1627 
1628 /*
1629    PETSc interface to MUMPS
1630 */
1631 #ifdef PETSC_HAVE_MUMPS
1632 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1633 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1634 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1635 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1636 
1637 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1639 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1640 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1641 #endif
1642 
1643 /*
1644    PETSc interface to Mkl_Pardiso
1645 */
1646 #ifdef PETSC_HAVE_MKL_PARDISO
1647 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1648 #endif
1649 
1650 /*
1651    PETSc interface to Mkl_CPardiso
1652 */
1653 #ifdef PETSC_HAVE_MKL_CPARDISO
1654 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1655 #endif
1656 
1657 /*
1658    PETSc interface to SUPERLU
1659 */
1660 #ifdef PETSC_HAVE_SUPERLU
1661 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1662 #endif
1663 
1664 /*
1665    PETSc interface to SUPERLU_DIST
1666 */
1667 #ifdef PETSC_HAVE_SUPERLU_DIST
1668 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1669 #endif
1670 
1671 /*
1672    PETSc interface to STRUMPACK
1673 */
1674 #ifdef PETSC_HAVE_STRUMPACK
1675 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1676 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1677 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1678 #endif
1679 
1680 
1681 #ifdef PETSC_HAVE_CUDA
1682 /*E
1683     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1684     matrices.
1685 
1686     Not Collective
1687 
1688 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1689 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1690 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1691 
1692     Level: intermediate
1693 
1694    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1695 
1696 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1697 E*/
1698 
1699 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1700 
1701 /* these will be strings associated with enumerated type defined above */
1702 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1703 
1704 /*E
1705     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1706     matrices whose operation should use a particular storage format.
1707 
1708     Not Collective
1709 
1710 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1711 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1712 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1713 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1714 
1715     Level: intermediate
1716 
1717 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1718 E*/
1719 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1720 
1721 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1722 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1723 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1724 #endif
1725 
1726 #if defined(PETSC_HAVE_CUSP)
1727 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1728 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1729 
1730 /*E
1731     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1732     matrices.
1733 
1734     Not Collective
1735 
1736 +   MAT_CUSP_CSR - Compressed Sparse Row
1737 .   MAT_CUSP_DIA - Diagonal
1738 -   MAT_CUSP_ELL - Ellpack
1739 
1740     Level: intermediate
1741 
1742    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1743 
1744 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1745 E*/
1746 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1747 
1748 /* these will be strings associated with enumerated type defined above */
1749 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1750 
1751 /*E
1752     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1753     matrices whose operation should use a particular storage format.
1754 
1755     Not Collective
1756 
1757 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1758 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1759 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1760 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1761 
1762     Level: intermediate
1763 
1764    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1765 
1766 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1767 E*/
1768 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1769 
1770 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1771 #endif
1772 
1773 #if defined(PETSC_HAVE_VIENNACL)
1774 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1775 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1776 #endif
1777 
1778 /*
1779    PETSc interface to FFTW
1780 */
1781 #if defined(PETSC_HAVE_FFTW)
1782 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1783 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1784 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1785 #endif
1786 
1787 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1788 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1789 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1790 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1791 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1792 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1793 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1794 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1795 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1796 
1797 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1798 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1799 
1800 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1801 
1802 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1803 
1804 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1805 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1806 
1807 #endif
1808