xref: /petsc/include/petscmat.h (revision b20b4189892be55dc38d9c19ce94b8fae3144b76)
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 MATSEQAIJPTHREAD   "seqaijpthread"
36 #define MATAIJPTHREAD      "aijpthread"
37 #define MATMPIAIJ          "mpiaij"
38 #define MATAIJCRL          "aijcrl"
39 #define MATSEQAIJCRL       "seqaijcrl"
40 #define MATMPIAIJCRL       "mpiaijcrl"
41 #define MATAIJCUSP         "aijcusp"
42 #define MATSEQAIJCUSP      "seqaijcusp"
43 #define MATMPIAIJCUSP      "mpiaijcusp"
44 #define MATAIJCUSPARSE     "aijcusparse"
45 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
46 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
47 #define MATAIJVIENNACL     "aijviennacl"
48 #define MATSEQAIJVIENNACL  "seqaijviennacl"
49 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
50 #define MATAIJPERM         "aijperm"
51 #define MATSEQAIJPERM      "seqaijperm"
52 #define MATMPIAIJPERM      "mpiaijperm"
53 #define MATSHELL           "shell"
54 #define MATDENSE           "dense"
55 #define MATSEQDENSE        "seqdense"
56 #define MATMPIDENSE        "mpidense"
57 #define MATELEMENTAL       "elemental"
58 #define MATBAIJ            "baij"
59 #define MATSEQBAIJ         "seqbaij"
60 #define MATMPIBAIJ         "mpibaij"
61 #define MATMPIADJ          "mpiadj"
62 #define MATSBAIJ           "sbaij"
63 #define MATSEQSBAIJ        "seqsbaij"
64 #define MATMPISBAIJ        "mpisbaij"
65 #define MATSEQBSTRM        "seqbstrm"
66 #define MATMPIBSTRM        "mpibstrm"
67 #define MATBSTRM           "bstrm"
68 #define MATSEQSBSTRM       "seqsbstrm"
69 #define MATMPISBSTRM       "mpisbstrm"
70 #define MATSBSTRM          "sbstrm"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATLRC             "lrc"
75 #define MATSCATTER         "scatter"
76 #define MATBLOCKMAT        "blockmat"
77 #define MATCOMPOSITE       "composite"
78 #define MATFFT             "fft"
79 #define MATFFTW            "fftw"
80 #define MATSEQCUFFT        "seqcufft"
81 #define MATTRANSPOSEMAT    "transpose"
82 #define MATSCHURCOMPLEMENT "schurcomplement"
83 #define MATPYTHON          "python"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 
90 /*J
91     MatSolverPackage - String with the name of a PETSc matrix solver type.
92 
93     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
94        SuperLU or SuperLU_Dist etc.
95 
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU      "superlu"
103 #define MATSOLVERSUPERLU_DIST "superlu_dist"
104 #define MATSOLVERUMFPACK      "umfpack"
105 #define MATSOLVERCHOLMOD      "cholmod"
106 #define MATSOLVERESSL         "essl"
107 #define MATSOLVERLUSOL        "lusol"
108 #define MATSOLVERMUMPS        "mumps"
109 #define MATSOLVERPASTIX       "pastix"
110 #define MATSOLVERMATLAB       "matlab"
111 #define MATSOLVERPETSC        "petsc"
112 #define MATSOLVERBAS          "bas"
113 #define MATSOLVERCUSPARSE     "cusparse"
114 #define MATSOLVERBSTRM        "bstrm"
115 #define MATSOLVERSBSTRM       "sbstrm"
116 #define MATSOLVERELEMENTAL    "elemental"
117 #define MATSOLVERCLIQUE       "clique"
118 
119 /*E
120     MatFactorType - indicates what type of factorization is requested
121 
122     Level: beginner
123 
124    Any additions/changes here MUST also be made in include/finclude/petscmat.h
125 
126 .seealso: MatSolverPackage, MatGetFactor()
127 E*/
128 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
129 PETSC_EXTERN const char *const MatFactorTypes[];
130 
131 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
132 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
133 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
135 
136 /* Logging support */
137 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
138 PETSC_EXTERN PetscClassId MAT_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
144 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
145 
146 /*E
147     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
148      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
149      that the input matrix is to be replaced with the converted matrix.
150 
151     Level: beginner
152 
153    Any additions/changes here MUST also be made in include/finclude/petscmat.h
154 
155 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
156 E*/
157 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
158 
159 /*E
160     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
161      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
162 
163     Level: beginner
164 
165 .seealso: MatGetSeqNonzerostructure()
166 E*/
167 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
168 
169 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
170 
171 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
172 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
173 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
174 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
175 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,const char[],const char[]);
176 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
177 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
178 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
179 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
180 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
181 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
182 
183 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
184 PETSC_EXTERN PetscFunctionList MatList;
185 PETSC_EXTERN PetscFunctionList MatColoringList;
186 PETSC_EXTERN PetscFunctionList MatPartitioningList;
187 PETSC_EXTERN PetscFunctionList MatCoarsenList;
188 
189 /*E
190     MatStructure - Indicates if the matrix has the same nonzero structure
191 
192     Level: beginner
193 
194    Any additions/changes here MUST also be made in include/finclude/petscmat.h
195 
196 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
197 E*/
198 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
199 
200 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
201 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
206 
207 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
213 
214 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
216 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
217 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
218 
219 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
225 
226 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,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 MatCreateSubMatrix(Mat,IS,IS,Mat*);
246 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
247 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
250 
251 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
252 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
255 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
256 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
257 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
259 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
260 
261 /* ------------------------------------------------------------*/
262 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
263 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
264 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
265 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
266 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
268 
269 /*S
270      MatStencil - Data structure (C struct) for storing information about a single row or
271         column of a matrix as indexed on an associated grid.
272 
273    Fortran usage is different, see MatSetValuesStencil() for details.
274 
275    Level: beginner
276 
277   Concepts: matrix; linear operator
278 
279 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
280 S*/
281 typedef struct {
282   PetscInt k,j,i,c;
283 } MatStencil;
284 
285 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
286 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
288 
289 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
290 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
291 
292 /*E
293     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
294      to continue to add values to it
295 
296     Level: beginner
297 
298 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
299 E*/
300 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
301 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
302 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
303 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
304 
305 
306 
307 /*E
308     MatOption - Options that may be set for a matrix and its behavior or storage
309 
310     Level: beginner
311 
312    Any additions/changes here MUST also be made in include/finclude/petscmat.h
313 
314    Developer Notes: Entries that are negative need not be called collectively by all processes.
315 
316 .seealso: MatSetOption()
317 E*/
318 typedef enum {MAT_OPTION_MIN = -8,
319               MAT_NEW_NONZERO_LOCATION_ERR = -7,
320               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
321               MAT_NO_OFF_PROC_ENTRIES = -5,
322               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
323               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
324               MAT_ROW_ORIENTED = -2,
325               MAT_NEW_NONZERO_LOCATIONS = -1,
326               MAT_SYMMETRIC = 1,
327               MAT_STRUCTURALLY_SYMMETRIC = 2,
328               MAT_NEW_DIAGONALS = 3,
329               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
330               MAT_USE_HASH_TABLE = 5,
331               MAT_KEEP_NONZERO_PATTERN = 6,
332               MAT_IGNORE_ZERO_ENTRIES = 7,
333               MAT_USE_INODES = 8,
334               MAT_HERMITIAN = 9,
335               MAT_SYMMETRY_ETERNAL = 10,
336               MAT_CHECK_COMPRESSED_ROW = 11,
337               MAT_IGNORE_LOWER_TRIANGULAR = 12,
338               MAT_ERROR_LOWER_TRIANGULAR = 13,
339               MAT_GETROW_UPPERTRIANGULAR = 14,
340               MAT_SPD = 15,
341               MAT_OPTION_MAX = 16} MatOption;
342 
343 PETSC_EXTERN const char *MatOptions[];
344 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
345 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
346 
347 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
348 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
349 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
350 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
351 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
352 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
353 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
355 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
358 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
360 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
362 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
365 
366 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
372 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
373 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
378 
379 /*E
380     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
381   its numerical values copied over or just its nonzero structure.
382 
383     Level: beginner
384 
385    Any additions/changes here MUST also be made in include/finclude/petscmat.h
386 
387 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
388 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
389 $                               have several matrices with the same nonzero pattern.
390 
391 .seealso: MatDuplicate()
392 E*/
393 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
394 
395 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
396 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
397 
398 
399 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
400 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
401 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
407 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
408 
409 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
412 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
413 
414 /*S
415      MatInfo - Context of matrix information, used with MatGetInfo()
416 
417    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
418 
419    Level: intermediate
420 
421   Concepts: matrix^nonzero information
422 
423 .seealso:  MatGetInfo(), MatInfoType
424 S*/
425 typedef struct {
426   PetscLogDouble block_size;                         /* block size */
427   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
428   PetscLogDouble memory;                             /* memory allocated */
429   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
430   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
431   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
432   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
433 } MatInfo;
434 
435 /*E
436     MatInfoType - Indicates if you want information about the local part of the matrix,
437      the entire parallel matrix or the maximum over all the local parts.
438 
439     Level: beginner
440 
441    Any additions/changes here MUST also be made in include/finclude/petscmat.h
442 
443 .seealso: MatGetInfo(), MatInfo
444 E*/
445 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
446 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
447 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
448 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
453 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
454 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
455 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
456 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
457 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
458 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
459 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
460 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
461 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
462 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
463 
464 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
465 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
466 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
467 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
473 
474 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
475 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
481 
482 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
483 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
486 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
487 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
489 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
490 
491 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
497 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
499 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
500 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
501 
502 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
503 
504 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
505 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
507 
508 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
509 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
511 
512 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
515 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
518 
519 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
525 
526 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
527 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
528 
529 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
530 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
531 
532 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
533 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
534 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
535 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
539 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
541 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
542 
543 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
544 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
545 
546 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
547 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
550 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
551 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
552 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
553 
554 /*MC
555    MatSetValue - Set a single entry into a matrix.
556 
557    Not collective
558 
559    Input Parameters:
560 +  m - the matrix
561 .  row - the row location of the entry
562 .  col - the column location of the entry
563 .  value - the value to insert
564 -  mode - either INSERT_VALUES or ADD_VALUES
565 
566    Notes:
567    For efficiency one should use MatSetValues() and set several or many
568    values simultaneously if possible.
569 
570    Level: beginner
571 
572 .seealso: MatSetValues(), MatSetValueLocal()
573 M*/
574 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
575 
576 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
577 
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
579 
580 /*MC
581    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
582        row in a matrix providing the data that one can use to correctly preallocate the matrix.
583 
584    Synopsis:
585    #include "petscmat.h"
586    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
587 
588    Collective on MPI_Comm
589 
590    Input Parameters:
591 +  comm - the communicator that will share the eventually allocated matrix
592 .  nrows - the number of LOCAL rows in the matrix
593 -  ncols - the number of LOCAL columns in the matrix
594 
595    Output Parameters:
596 +  dnz - the array that will be passed to the matrix preallocation routines
597 -  ozn - the other array passed to the matrix preallocation routines
598 
599 
600    Level: intermediate
601 
602    Notes:
603     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
604 
605    Do not malloc or free dnz and onz, that is handled internally by these routines
606 
607    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
608 
609    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
610 
611   Concepts: preallocation^Matrix
612 
613 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
614           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
615 M*/
616 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
617 { \
618   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
619   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
620   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
621   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
622   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
623   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
624 
625 /*MC
626    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
627        inserted using a local number of the rows and columns
628 
629    Synopsis:
630    #include "petscmat.h"
631    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
632 
633    Not Collective
634 
635    Input Parameters:
636 +  map - the row mapping from local numbering to global numbering
637 .  nrows - the number of rows indicated
638 .  rows - the indices of the rows
639 .  cmap - the column mapping from local to global numbering
640 .  ncols - the number of columns in the matrix
641 .  cols - the columns indicated
642 .  dnz - the array that will be passed to the matrix preallocation routines
643 -  ozn - the other array passed to the matrix preallocation routines
644 
645 
646    Level: intermediate
647 
648    Notes:
649     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
650 
651    Do not malloc or free dnz and onz, that is handled internally by these routines
652 
653   Concepts: preallocation^Matrix
654 
655 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
656           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
657 M*/
658 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
659 {\
660   PetscInt __l;\
661   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
662   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
663   for (__l=0;__l<nrows;__l++) {\
664     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
665   }\
666 }
667 
668 /*MC
669    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
670        inserted using a local number of the rows and columns
671 
672    Synopsis:
673    #include "petscmat.h"
674    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
675 
676    Not Collective
677 
678    Input Parameters:
679 +  map - the mapping between local numbering and global numbering
680 .  nrows - the number of rows indicated
681 .  rows - the indices of the rows
682 .  ncols - the number of columns in the matrix
683 .  cols - the columns indicated
684 .  dnz - the array that will be passed to the matrix preallocation routines
685 -  ozn - the other array passed to the matrix preallocation routines
686 
687 
688    Level: intermediate
689 
690    Notes:
691     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
692 
693    Do not malloc or free dnz and onz that is handled internally by these routines
694 
695   Concepts: preallocation^Matrix
696 
697 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
698           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
699 M*/
700 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
701 {\
702   PetscInt __l;\
703   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
704   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
705   for (__l=0;__l<nrows;__l++) {\
706     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
707   }\
708 }
709 
710 /*MC
711    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
712        inserted using a local number of the rows and columns
713 
714    Synopsis:
715    #include "petscmat.h"
716    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
717 
718    Not Collective
719 
720    Input Parameters:
721 +  row - the row
722 .  ncols - the number of columns in the matrix
723 -  cols - the columns indicated
724 
725    Output Parameters:
726 +  dnz - the array that will be passed to the matrix preallocation routines
727 -  ozn - the other array passed to the matrix preallocation routines
728 
729 
730    Level: intermediate
731 
732    Notes:
733     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
734 
735    Do not malloc or free dnz and onz that is handled internally by these routines
736 
737    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
738 
739   Concepts: preallocation^Matrix
740 
741 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
742           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
743 M*/
744 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
745 { PetscInt __i; \
746   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);\
747   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);\
748   for (__i=0; __i<nc; __i++) {\
749     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
750     else dnz[row - __rstart]++;\
751   }\
752 }
753 
754 /*MC
755    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
756        inserted using a local number of the rows and columns
757 
758    Synopsis:
759    #include "petscmat.h"
760    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
761 
762    Not Collective
763 
764    Input Parameters:
765 +  nrows - the number of rows indicated
766 .  rows - the indices of the rows
767 .  ncols - the number of columns in the matrix
768 .  cols - the columns indicated
769 .  dnz - the array that will be passed to the matrix preallocation routines
770 -  ozn - the other array passed to the matrix preallocation routines
771 
772 
773    Level: intermediate
774 
775    Notes:
776     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
777 
778    Do not malloc or free dnz and onz that is handled internally by these routines
779 
780    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
781 
782   Concepts: preallocation^Matrix
783 
784 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
785           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
786 M*/
787 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
788 { PetscInt __i; \
789   for (__i=0; __i<nc; __i++) {\
790     if (cols[__i] >= __end) onz[row - __rstart]++; \
791     else if (cols[__i] >= row) dnz[row - __rstart]++;\
792   }\
793 }
794 
795 /*MC
796    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
797 
798    Synopsis:
799    #include "petscmat.h"
800    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
801 
802    Not Collective
803 
804    Input Parameters:
805 .  A - matrix
806 .  row - row where values exist (must be local to this process)
807 .  ncols - number of columns
808 .  cols - columns with nonzeros
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  ozn - the other array passed to the matrix preallocation routines
811 
812 
813    Level: intermediate
814 
815    Notes:
816     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
817 
818    Do not malloc or free dnz and onz that is handled internally by these routines
819 
820    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
821 
822   Concepts: preallocation^Matrix
823 
824 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
825           MatPreallocateSymmetricSetLocal()
826 M*/
827 #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);}
828 
829 
830 /*MC
831    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
832        row in a matrix providing the data that one can use to correctly preallocate the matrix.
833 
834    Synopsis:
835    #include "petscmat.h"
836    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
837 
838    Collective on MPI_Comm
839 
840    Input Parameters:
841 +  dnz - the array that was be passed to the matrix preallocation routines
842 -  ozn - the other array passed to the matrix preallocation routines
843 
844 
845    Level: intermediate
846 
847    Notes:
848     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
849 
850    Do not malloc or free dnz and onz that is handled internally by these routines
851 
852    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
853 
854   Concepts: preallocation^Matrix
855 
856 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
857           MatPreallocateSymmetricSetLocal()
858 M*/
859 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
860 
861 
862 
863 /* Routines unique to particular data structures */
864 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
865 
866 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
867 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
868 
869 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
870 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
872 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
873 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
874 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
875 
876 #define MAT_SKIP_ALLOCATION -4
877 
878 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
879 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
881 
882 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
884 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
885 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
886 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
890 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
891 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
892 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
893 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
894 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
895 
896 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
897 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
898 
899 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
900 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
901 
902 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
903 
904 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
905 /*
906   These routines are not usually accessed directly, rather solving is
907   done through the KSP and PC interfaces.
908 */
909 
910 /*J
911     MatOrderingType - String with the name of a PETSc matrix ordering
912 
913    Level: beginner
914 
915 .seealso: MatGetOrdering()
916 J*/
917 typedef const char* MatOrderingType;
918 #define MATORDERINGNATURAL     "natural"
919 #define MATORDERINGND          "nd"
920 #define MATORDERING1WD         "1wd"
921 #define MATORDERINGRCM         "rcm"
922 #define MATORDERINGQMD         "qmd"
923 #define MATORDERINGROWLENGTH   "rowlength"
924 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
925 
926 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
927 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
928 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
929 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
930 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
931 PETSC_EXTERN PetscFunctionList MatOrderingList;
932 
933 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
934 
935 /*S
936     MatFactorShiftType - Numeric Shift.
937 
938    Level: beginner
939 
940 S*/
941 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
942 PETSC_EXTERN const char *const MatFactorShiftTypes[];
943 
944 /*S
945    MatFactorInfo - Data passed into the matrix factorization routines
946 
947    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
948 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
949 
950    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
951 
952       You can use MatFactorInfoInitialize() to set default values.
953 
954    Level: developer
955 
956 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
957           MatFactorInfoInitialize()
958 
959 S*/
960 typedef struct {
961   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
962   PetscReal     usedt;
963   PetscReal     dt;             /* drop tolerance */
964   PetscReal     dtcol;          /* tolerance for pivoting */
965   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
966   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
967   PetscReal     levels;         /* ICC/ILU(levels) */
968   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
969                                    factorization may be faster if do not pivot */
970   PetscReal     zeropivot;      /* pivot is called zero if less than this */
971   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
972   PetscReal     shiftamount;     /* how large the shift is */
973 } MatFactorInfo;
974 
975 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
976 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
987 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
988 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
994 
995 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
996 
997 /*E
998     MatSORType - What type of (S)SOR to perform
999 
1000     Level: beginner
1001 
1002    May be bitwise ORd together
1003 
1004    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1005 
1006    MatSORType may be bitwise ORd together, so do not change the numbers
1007 
1008 .seealso: MatSOR()
1009 E*/
1010 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1011               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1012               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1013               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1014 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1015 
1016 /*
1017     These routines are for efficiently computing Jacobians via finite differences.
1018 */
1019 
1020 /*J
1021     MatColoringType - String with the name of a PETSc matrix coloring
1022 
1023    Level: beginner
1024 
1025 .seealso: MatGetColoring(), MatColoring
1026 J*/
1027 typedef const char* MatColoringType;
1028 #define MATCOLORINGNATURAL "natural"
1029 #define MATCOLORINGSL      "sl"
1030 #define MATCOLORINGLF      "lf"
1031 #define MATCOLORINGID      "id"
1032 
1033 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1034 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1035 
1036 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1037 
1038 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1039 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1040 
1041 /*S
1042      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1043         and coloring
1044 
1045    Level: beginner
1046 
1047   Concepts: coloring, sparse Jacobian, finite differences
1048 
1049 .seealso:  MatFDColoringCreate()
1050 S*/
1051 typedef struct _p_MatFDColoring* MatFDColoring;
1052 
1053 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1054 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1055 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1056 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1057 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1058 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1059 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1060 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1061 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1062 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1063 
1064 /*S
1065      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1066 
1067    Level: beginner
1068 
1069   Concepts: coloring, sparse matrix product
1070 
1071 .seealso:  MatTransposeColoringCreate()
1072 S*/
1073 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1074 
1075 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1076 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1077 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1078 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1079 
1080 /*
1081     These routines are for partitioning matrices: currently used only
1082   for adjacency matrix, MatCreateMPIAdj().
1083 */
1084 
1085 /*S
1086      MatPartitioning - Object for managing the partitioning of a matrix or graph
1087 
1088    Level: beginner
1089 
1090   Concepts: partitioning
1091 
1092 .seealso:  MatPartitioningCreate(), MatPartitioningType
1093 S*/
1094 typedef struct _p_MatPartitioning* MatPartitioning;
1095 
1096 /*J
1097     MatPartitioningType - String with the name of a PETSc matrix partitioning
1098 
1099    Level: beginner
1100 dm
1101 .seealso: MatPartitioningCreate(), MatPartitioning
1102 J*/
1103 typedef const char* MatPartitioningType;
1104 #define MATPARTITIONINGCURRENT  "current"
1105 #define MATPARTITIONINGSQUARE   "square"
1106 #define MATPARTITIONINGPARMETIS "parmetis"
1107 #define MATPARTITIONINGCHACO    "chaco"
1108 #define MATPARTITIONINGPARTY    "party"
1109 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1110 
1111 
1112 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1113 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1114 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1115 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1116 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1117 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1118 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1119 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1120 
1121 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1122 
1123 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1124 
1125 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1126 
1127 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1128 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1129 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1130 
1131 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1132 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1133 
1134 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1135 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1136 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1137 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1138 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1139 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1140 
1141 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1152 
1153 #define MP_PARTY_OPT "opt"
1154 #define MP_PARTY_LIN "lin"
1155 #define MP_PARTY_SCA "sca"
1156 #define MP_PARTY_RAN "ran"
1157 #define MP_PARTY_GBF "gbf"
1158 #define MP_PARTY_GCF "gcf"
1159 #define MP_PARTY_BUB "bub"
1160 #define MP_PARTY_DEF "def"
1161 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1162 #define MP_PARTY_HELPFUL_SETS "hs"
1163 #define MP_PARTY_KERNIGHAN_LIN "kl"
1164 #define MP_PARTY_NONE "no"
1165 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1169 
1170 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1171 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1172 
1173 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1177 
1178 /*
1179     These routines are for coarsening matrices:
1180 */
1181 
1182 /*S
1183      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1184 
1185    Level: beginner
1186 
1187   Concepts: coarsen
1188 
1189 .seealso:  MatCoarsenCreate), MatCoarsenType
1190 S*/
1191 typedef struct _p_MatCoarsen* MatCoarsen;
1192 
1193 /*J
1194     MatCoarsenType - String with the name of a PETSc matrix coarsen
1195 
1196    Level: beginner
1197 
1198 .seealso: MatCoarsenCreate(), MatCoarsen
1199 J*/
1200 typedef const char* MatCoarsenType;
1201 #define MATCOARSENMIS  "mis"
1202 #define MATCOARSENHEM  "hem"
1203 
1204 /* linked list for aggregates */
1205 typedef struct _PetscCDIntNd{
1206   struct _PetscCDIntNd *next;
1207   PetscInt             gid;
1208 }PetscCDIntNd;
1209 
1210 /* only used by node pool */
1211 typedef struct _PetscCDArrNd{
1212   struct _PetscCDArrNd *next;
1213   struct _PetscCDIntNd *array;
1214 }PetscCDArrNd;
1215 
1216 typedef struct _PetscCoarsenData{
1217   PetscCDArrNd pool_list;  /* node pool */
1218   PetscCDIntNd *new_node;
1219   PetscInt     new_left;
1220   PetscInt     chk_sz;
1221   PetscCDIntNd *extra_nodes;
1222   PetscCDIntNd **array;  /* Array of lists */
1223   PetscInt     size;
1224   Mat          mat;  /* cache a Mat for communication data */
1225 }PetscCoarsenData;
1226 
1227 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1228 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1229 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1230 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1231 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1232 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1233 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1234 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1235 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1236 
1237 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1238 
1239 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1240 
1241 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1242 
1243 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1244 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1245 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1246 
1247 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1248 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1249 
1250 /*
1251     If you add entries here you must also add them to finclude/petscmat.h
1252 */
1253 typedef enum { MATOP_SET_VALUES=0,
1254                MATOP_GET_ROW=1,
1255                MATOP_RESTORE_ROW=2,
1256                MATOP_MULT=3,
1257                MATOP_MULT_ADD=4,
1258                MATOP_MULT_TRANSPOSE=5,
1259                MATOP_MULT_TRANSPOSE_ADD=6,
1260                MATOP_SOLVE=7,
1261                MATOP_SOLVE_ADD=8,
1262                MATOP_SOLVE_TRANSPOSE=9,
1263                MATOP_SOLVE_TRANSPOSE_ADD=10,
1264                MATOP_LUFACTOR=11,
1265                MATOP_CHOLESKYFACTOR=12,
1266                MATOP_SOR=13,
1267                MATOP_TRANSPOSE=14,
1268                MATOP_GETINFO=15,
1269                MATOP_EQUAL=16,
1270                MATOP_GET_DIAGONAL=17,
1271                MATOP_DIAGONAL_SCALE=18,
1272                MATOP_NORM=19,
1273                MATOP_ASSEMBLY_BEGIN=20,
1274                MATOP_ASSEMBLY_END=21,
1275                MATOP_SET_OPTION=22,
1276                MATOP_ZERO_ENTRIES=23,
1277                MATOP_ZERO_ROWS=24,
1278                MATOP_LUFACTOR_SYMBOLIC=25,
1279                MATOP_LUFACTOR_NUMERIC=26,
1280                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1281                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1282                MATOP_SETUP_PREALLOCATION=29,
1283                MATOP_ILUFACTOR_SYMBOLIC=30,
1284                MATOP_ICCFACTOR_SYMBOLIC=31,
1285                MATOP_GET_ARRAY=32,
1286                MATOP_RESTORE_ARRAY=33,
1287                MATOP_DUPLICATE=34,
1288                MATOP_FORWARD_SOLVE=35,
1289                MATOP_BACKWARD_SOLVE=36,
1290                MATOP_ILUFACTOR=37,
1291                MATOP_ICCFACTOR=38,
1292                MATOP_AXPY=39,
1293                MATOP_GET_SUBMATRICES=40,
1294                MATOP_INCREASE_OVERLAP=41,
1295                MATOP_GET_VALUES=42,
1296                MATOP_COPY=43,
1297                MATOP_GET_ROW_MAX=44,
1298                MATOP_SCALE=45,
1299                MATOP_SHIFT=46,
1300                MATOP_DIAGONAL_SET=47,
1301                MATOP_ILUDT_FACTOR=48,
1302                MATOP_SET_BLOCK_SIZE=49,
1303                MATOP_GET_ROW_IJ=50,
1304                MATOP_RESTORE_ROW_IJ=51,
1305                MATOP_GET_COLUMN_IJ=52,
1306                MATOP_RESTORE_COLUMN_IJ=53,
1307                MATOP_FDCOLORING_CREATE=54,
1308                MATOP_COLORING_PATCH=55,
1309                MATOP_SET_UNFACTORED=56,
1310                MATOP_PERMUTE=57,
1311                MATOP_SET_VALUES_BLOCKED=58,
1312                MATOP_GET_SUBMATRIX=59,
1313                MATOP_DESTROY=60,
1314                MATOP_VIEW=61,
1315                MATOP_CONVERT_FROM=62,
1316                MATOP_MATMAT_MULT=63,
1317                MATOP_MATMAT_MULT_SYMBOLIC=64,
1318                MATOP_MATMAT_MULT_NUMERIC=65,
1319                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1320                MATOP_SET_VALUES_LOCAL=67,
1321                MATOP_ZERO_ROWS_LOCAL=68,
1322                MATOP_GET_ROW_MAX_ABS=69,
1323                MATOP_GET_ROW_MIN_ABS=70,
1324                MATOP_CONVERT=71,
1325                MATOP_SET_COLORING=72,
1326                MATOP_PLACEHOLDER=73,
1327                MATOP_SET_VALUES_ADIFOR=74,
1328                MATOP_FD_COLORING_APPLY=75,
1329                MATOP_SET_FROM_OPTIONS=76,
1330                MATOP_MULT_CONSTRAINED=77,
1331                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1332                MATOP_PERMUTE_SPARSIFY=79,
1333                MATOP_MULT_MULTIPLE=80,
1334                MATOP_SOLVE_MULTIPLE=81,
1335                MATOP_GET_INERTIA=82,
1336                MATOP_LOAD=83,
1337                MATOP_IS_SYMMETRIC=84,
1338                MATOP_IS_HERMITIAN=85,
1339                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1340                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1341                MATOP_GET_VECS=88,
1342                MATOP_MAT_MULT=89,
1343                MATOP_MAT_MULT_SYMBOLIC=90,
1344                MATOP_MAT_MULT_NUMERIC=91,
1345                MATOP_PTAP=92,
1346                MATOP_PTAP_SYMBOLIC=93,
1347                MATOP_PTAP_NUMERIC=94,
1348                MATOP_MAT_TRANSPOSE_MULT=95,
1349                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1350                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1351                MATOP_DUMMY98=98,
1352                MATOP_DUMMY99=99,
1353                MATOP_DUMMY100=100,
1354                MATOP_DUMMY101=101,
1355                MATOP_CONJUGATE=102,
1356                MATOP_SET_SIZES=103,
1357                MATOP_SET_VALUES_ROW=104,
1358                MATOP_REAL_PART=105,
1359                MATOP_IMAGINARY_PART=106,
1360                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1361                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1362                MATOP_MAT_SOLVE=109,
1363                MATOP_GET_REDUNDANT_MATRIX=110,
1364                MATOP_GET_ROW_MIN=111,
1365                MATOP_GET_COLUMN_VECTOR=112,
1366                MATOP_MISSING_DIAGONAL=113,
1367                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1368                MATOP_CREATE=115,
1369                MATOP_GET_GHOSTS=116,
1370                MATOP_GET_LOCAL_SUB_MATRIX=117,
1371                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1372                MATOP_MULT_DIAGONAL_BLOCK=119,
1373                MATOP_HERMITIAN_TRANSPOSE=120,
1374                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1375                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1376                MATOP_GET_MULTI_PROC_BLOCK=123,
1377                MATOP_GET_COLUMN_NORMS=125,
1378                MATOP_GET_SUB_MATRICES_PARALLE=128,
1379                MATOP_SET_VALUES_BATCH=129,
1380                MATOP_TRANSPOSE_MAT_MULT=130,
1381                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1382                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1383                MATOP_TRANSPOSE_COLORING_CREAT=133,
1384                MATOP_TRANS_COLORING_APPLY_SPT=134,
1385                MATOP_TRANS_COLORING_APPLY_DEN=135,
1386                MATOP_RART=136,
1387                MATOP_RART_SYMBOLIC=137,
1388                MATOP_RART_NUMERIC=138,
1389                MATOP_SET_BLOCK_SIZES=139,
1390                MATOP_AYPX=140
1391              } MatOperation;
1392 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1393 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1394 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1395 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1396 
1397 /*
1398    Codes for matrices stored on disk. By default they are
1399    stored in a universal format. By changing the format with
1400    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1401    be stored in a way natural for the matrix, for example dense matrices
1402    would be stored as dense. Matrices stored this way may only be
1403    read into matrices of the same type.
1404 */
1405 #define MATRIX_BINARY_FORMAT_DENSE -1
1406 
1407 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1408 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1409 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1410 
1411 /*S
1412      MatNullSpace - Object that removes a null space from a vector, i.e.
1413          orthogonalizes the vector to a subsapce
1414 
1415    Level: advanced
1416 
1417   Concepts: matrix; linear operator, null space
1418 
1419   Users manual sections:
1420 .   sec_singular
1421 
1422 .seealso:  MatNullSpaceCreate()
1423 S*/
1424 typedef struct _p_MatNullSpace* MatNullSpace;
1425 
1426 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1427 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1428 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1429 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1430 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1431 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1432 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1433 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1434 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1435 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1436 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1437 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1438 
1439 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1440 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1441 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1442 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1443 
1444 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1445 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1446 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1447 
1448 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1449 
1450 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1451 
1452 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1453 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1454 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1455 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1456 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1457 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1458 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1459 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1460 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1461 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1462 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1463 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1464 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1465 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1466 
1467 /*S
1468     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1469               Jacobian vector products
1470 
1471     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1472 
1473            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1474 
1475     Level: developer
1476 
1477 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1478 S*/
1479 typedef struct _p_MatMFFD* MatMFFD;
1480 
1481 /*J
1482     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1483 
1484    Level: beginner
1485 
1486 .seealso: MatMFFDSetType(), MatMFFDRegister()
1487 J*/
1488 typedef const char* MatMFFDType;
1489 #define MATMFFD_DS  "ds"
1490 #define MATMFFD_WP  "wp"
1491 
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1493 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1494 
1495 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1496 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1497 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1498 
1499 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1500 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1501 
1502 /*
1503    PETSc interface to MUMPS
1504 */
1505 #ifdef PETSC_HAVE_MUMPS
1506 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1507 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1508 #endif
1509 
1510 /*
1511    PETSc interface to SUPERLU
1512 */
1513 #ifdef PETSC_HAVE_SUPERLU
1514 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1515 #endif
1516 
1517 #if defined PETSC_HAVE_TXPETSCGPU
1518 
1519 /*E
1520     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1521     matrices. Requires the txpetscgpu package to use. Configure with
1522     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1523 
1524     Not Collective
1525 
1526 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1527 .   MAT_CUSPARSE_ELL - Ellpack
1528 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format.
1529 
1530     Level: intermediate
1531 
1532    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1533 
1534 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1535 E*/
1536 
1537 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1538 
1539 /* these will be strings associated with enumerated type defined above */
1540 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1541 
1542 /*E
1543     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1544     matrices whose operation should use a particular storage format. Requires
1545     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1546     build/install petsc with the txpetscgpu library.
1547 
1548     Not Collective
1549 
1550 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1551 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1552 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1553 .   MAT_CUSPARSE_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1554 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1555 
1556     Level: intermediate
1557 
1558 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1559 E*/
1560 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_SOLVE, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1561 
1562 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1563 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1564 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1565 
1566 #endif
1567 
1568 #if defined(PETSC_HAVE_CUSP)
1569 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1570 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1571 
1572 /*E
1573     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1574     matrices. Requires the txpetscgpu package to use. Configure with
1575     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1576 
1577     Not Collective
1578 
1579 +   MAT_CUSP_CSR - Compressed Sparse Row
1580 .   MAT_CUSP_DIA - Diagonal
1581 -   MAT_CUSP_ELL - Ellpack
1582 
1583     Level: intermediate
1584 
1585    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1586 
1587 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1588 E*/
1589 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1590 
1591 /* these will be strings associated with enumerated type defined above */
1592 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1593 
1594 /*E
1595     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1596     matrices whose operation should use a particular storage format. Requires
1597     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1598     build/install petsc with the txpetscgpu library.
1599 
1600     Not Collective
1601 
1602 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1603 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1604 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1605 .   MAT_CUSP_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1606 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1607 
1608     Level: intermediate
1609 
1610    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1611 
1612 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1613 E*/
1614 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_SOLVE, MAT_CUSP_ALL} MatCUSPFormatOperation;
1615 
1616 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1617 #endif
1618 
1619 #if defined(PETSC_HAVE_VIENNACL)
1620 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1621 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1622 #endif
1623 
1624 /*
1625    PETSc interface to FFTW
1626 */
1627 #if defined(PETSC_HAVE_FFTW)
1628 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1629 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1630 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1631 #endif
1632 
1633 #if defined(PETSC_HAVE_ELEMENTAL)
1634 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1635 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1636 #endif
1637 
1638 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1639 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1640 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1641 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1642 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1643 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1644 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1645 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1646 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1647 
1648 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1649 
1650 #endif
1651