xref: /petsc/include/petscmat.h (revision a72f3261c1c8b535bdbc1dff0883b74a7c2113c0)
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 MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
217 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
226 
227 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
231 
232 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
233 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
234 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
235 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
236 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
237 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
238 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
239 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
240 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
241 
242 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
244 
245 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
251 
252 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
253 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
256 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
257 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
258 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
260 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
261 
262 /* ------------------------------------------------------------*/
263 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
264 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
265 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
266 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
269 
270 /*S
271      MatStencil - Data structure (C struct) for storing information about a single row or
272         column of a matrix as indexed on an associated grid.
273 
274    Fortran usage is different, see MatSetValuesStencil() for details.
275 
276    Level: beginner
277 
278   Concepts: matrix; linear operator
279 
280 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
281 S*/
282 typedef struct {
283   PetscInt k,j,i,c;
284 } MatStencil;
285 
286 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
289 
290 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
291 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
292 
293 /*E
294     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
295      to continue to add values to it
296 
297     Level: beginner
298 
299 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
300 E*/
301 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
302 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
303 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
304 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
305 
306 
307 
308 /*E
309     MatOption - Options that may be set for a matrix and its behavior or storage
310 
311     Level: beginner
312 
313    Any additions/changes here MUST also be made in include/finclude/petscmat.h
314 
315    Developer Notes: Entries that are negative need not be called collectively by all processes.
316 
317 .seealso: MatSetOption()
318 E*/
319 typedef enum {MAT_OPTION_MIN = -8,
320               MAT_NEW_NONZERO_LOCATION_ERR = -7,
321               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
322               MAT_NO_OFF_PROC_ENTRIES = -5,
323               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
324               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
325               MAT_ROW_ORIENTED = -2,
326               MAT_NEW_NONZERO_LOCATIONS = -1,
327               MAT_SYMMETRIC = 1,
328               MAT_STRUCTURALLY_SYMMETRIC = 2,
329               MAT_NEW_DIAGONALS = 3,
330               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
331               MAT_USE_HASH_TABLE = 5,
332               MAT_KEEP_NONZERO_PATTERN = 6,
333               MAT_IGNORE_ZERO_ENTRIES = 7,
334               MAT_USE_INODES = 8,
335               MAT_HERMITIAN = 9,
336               MAT_SYMMETRY_ETERNAL = 10,
337               MAT_DUMMY = 11,
338               MAT_IGNORE_LOWER_TRIANGULAR = 12,
339               MAT_ERROR_LOWER_TRIANGULAR = 13,
340               MAT_GETROW_UPPERTRIANGULAR = 14,
341               MAT_SPD = 15,
342               MAT_OPTION_MAX = 16} MatOption;
343 
344 PETSC_EXTERN const char *MatOptions[];
345 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
346 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
347 
348 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
349 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
350 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
351 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
352 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
353 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
354 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
356 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
357 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
358 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
361 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
362 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
363 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
366 
367 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
373 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
374 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
375 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
379 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
380 
381 /*E
382     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
383   its numerical values copied over or just its nonzero structure.
384 
385     Level: beginner
386 
387    Any additions/changes here MUST also be made in include/finclude/petscmat.h
388 
389 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
390 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
391 $                               have several matrices with the same nonzero pattern.
392 
393 .seealso: MatDuplicate()
394 E*/
395 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
396 
397 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
398 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
399 
400 
401 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
402 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
403 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
409 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
410 
411 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
412 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
413 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
414 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 
416 /*S
417      MatInfo - Context of matrix information, used with MatGetInfo()
418 
419    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
420 
421    Level: intermediate
422 
423   Concepts: matrix^nonzero information
424 
425 .seealso:  MatGetInfo(), MatInfoType
426 S*/
427 typedef struct {
428   PetscLogDouble block_size;                         /* block size */
429   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
430   PetscLogDouble memory;                             /* memory allocated */
431   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
432   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
433   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
434   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
435 } MatInfo;
436 
437 /*E
438     MatInfoType - Indicates if you want information about the local part of the matrix,
439      the entire parallel matrix or the maximum over all the local parts.
440 
441     Level: beginner
442 
443    Any additions/changes here MUST also be made in include/finclude/petscmat.h
444 
445 .seealso: MatGetInfo(), MatInfo
446 E*/
447 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
448 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
449 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
450 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
453 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
455 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
456 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
457 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
458 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
459 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
460 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
461 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
462 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
463 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
464 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
465 
466 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
467 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
468 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
469 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
475 
476 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
483 
484 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
487 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
488 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
489 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
490 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
491 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
492 
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
499 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
501 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
502 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
503 
504 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
505 
506 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
509 
510 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
513 
514 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
517 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
520 
521 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
527 
528 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
529 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
530 
531 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
532 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
533 
534 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
535 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
536 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
537 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
538 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
539 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
543 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
544 
545 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
546 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
547 
548 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
552 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
553 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
554 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
555 
556 /*MC
557    MatSetValue - Set a single entry into a matrix.
558 
559    Not collective
560 
561    Input Parameters:
562 +  m - the matrix
563 .  row - the row location of the entry
564 .  col - the column location of the entry
565 .  value - the value to insert
566 -  mode - either INSERT_VALUES or ADD_VALUES
567 
568    Notes:
569    For efficiency one should use MatSetValues() and set several or many
570    values simultaneously if possible.
571 
572    Level: beginner
573 
574 .seealso: MatSetValues(), MatSetValueLocal()
575 M*/
576 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
577 
578 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
579 
580 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
581 
582 /*MC
583    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
584        row in a matrix providing the data that one can use to correctly preallocate the matrix.
585 
586    Synopsis:
587    #include "petscmat.h"
588    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
589 
590    Collective on MPI_Comm
591 
592    Input Parameters:
593 +  comm - the communicator that will share the eventually allocated matrix
594 .  nrows - the number of LOCAL rows in the matrix
595 -  ncols - the number of LOCAL columns in the matrix
596 
597    Output Parameters:
598 +  dnz - the array that will be passed to the matrix preallocation routines
599 -  ozn - the other array passed to the matrix preallocation routines
600 
601 
602    Level: intermediate
603 
604    Notes:
605     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
606 
607    Do not malloc or free dnz and onz, that is handled internally by these routines
608 
609    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
610 
611    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
612 
613   Concepts: preallocation^Matrix
614 
615 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
616           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
617 M*/
618 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
619 { \
620   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
621   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
622   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
623   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
624   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
625   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
626 
627 /*MC
628    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
629        inserted using a local number of the rows and columns
630 
631    Synopsis:
632    #include "petscmat.h"
633    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
634 
635    Not Collective
636 
637    Input Parameters:
638 +  map - the row mapping from local numbering to global numbering
639 .  nrows - the number of rows indicated
640 .  rows - the indices of the rows
641 .  cmap - the column mapping from local to global numbering
642 .  ncols - the number of columns in the matrix
643 .  cols - the columns indicated
644 .  dnz - the array that will be passed to the matrix preallocation routines
645 -  ozn - the other array passed to the matrix preallocation routines
646 
647 
648    Level: intermediate
649 
650    Notes:
651     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
652 
653    Do not malloc or free dnz and onz, that is handled internally by these routines
654 
655   Concepts: preallocation^Matrix
656 
657 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
658           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
659 M*/
660 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
661 {\
662   PetscInt __l;\
663   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
664   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
665   for (__l=0;__l<nrows;__l++) {\
666     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
667   }\
668 }
669 
670 /*MC
671    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
672        inserted using a local number of the rows and columns
673 
674    Synopsis:
675    #include "petscmat.h"
676    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
677 
678    Not Collective
679 
680    Input Parameters:
681 +  map - the mapping between local numbering and global numbering
682 .  nrows - the number of rows indicated
683 .  rows - the indices of the rows
684 .  ncols - the number of columns in the matrix
685 .  cols - the columns indicated
686 .  dnz - the array that will be passed to the matrix preallocation routines
687 -  ozn - the other array passed to the matrix preallocation routines
688 
689 
690    Level: intermediate
691 
692    Notes:
693     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
694 
695    Do not malloc or free dnz and onz that is handled internally by these routines
696 
697   Concepts: preallocation^Matrix
698 
699 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
700           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
701 M*/
702 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
703 {\
704   PetscInt __l;\
705   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
706   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
707   for (__l=0;__l<nrows;__l++) {\
708     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
709   }\
710 }
711 
712 /*MC
713    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
714        inserted using a local number of the rows and columns
715 
716    Synopsis:
717    #include "petscmat.h"
718    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
719 
720    Not Collective
721 
722    Input Parameters:
723 +  row - the row
724 .  ncols - the number of columns in the matrix
725 -  cols - the columns indicated
726 
727    Output Parameters:
728 +  dnz - the array that will be passed to the matrix preallocation routines
729 -  ozn - the other array passed to the matrix preallocation routines
730 
731 
732    Level: intermediate
733 
734    Notes:
735     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
736 
737    Do not malloc or free dnz and onz that is handled internally by these routines
738 
739    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
740 
741   Concepts: preallocation^Matrix
742 
743 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
744           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
745 M*/
746 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
747 { PetscInt __i; \
748   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);\
749   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);\
750   for (__i=0; __i<nc; __i++) {\
751     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
752     else dnz[row - __rstart]++;\
753   }\
754 }
755 
756 /*MC
757    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
758        inserted using a local number of the rows and columns
759 
760    Synopsis:
761    #include "petscmat.h"
762    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
763 
764    Not Collective
765 
766    Input Parameters:
767 +  nrows - the number of rows indicated
768 .  rows - the indices of the rows
769 .  ncols - the number of columns in the matrix
770 .  cols - the columns indicated
771 .  dnz - the array that will be passed to the matrix preallocation routines
772 -  ozn - the other array passed to the matrix preallocation routines
773 
774 
775    Level: intermediate
776 
777    Notes:
778     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
779 
780    Do not malloc or free dnz and onz that is handled internally by these routines
781 
782    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
783 
784   Concepts: preallocation^Matrix
785 
786 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
787           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
788 M*/
789 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
790 { PetscInt __i; \
791   for (__i=0; __i<nc; __i++) {\
792     if (cols[__i] >= __end) onz[row - __rstart]++; \
793     else if (cols[__i] >= row) dnz[row - __rstart]++;\
794   }\
795 }
796 
797 /*MC
798    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
799 
800    Synopsis:
801    #include "petscmat.h"
802    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
803 
804    Not Collective
805 
806    Input Parameters:
807 .  A - matrix
808 .  row - row where values exist (must be local to this process)
809 .  ncols - number of columns
810 .  cols - columns with nonzeros
811 .  dnz - the array that will be passed to the matrix preallocation routines
812 -  ozn - the other array passed to the matrix preallocation routines
813 
814 
815    Level: intermediate
816 
817    Notes:
818     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
819 
820    Do not malloc or free dnz and onz that is handled internally by these routines
821 
822    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
823 
824   Concepts: preallocation^Matrix
825 
826 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
827           MatPreallocateSymmetricSetLocal()
828 M*/
829 #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);}
830 
831 
832 /*MC
833    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
834        row in a matrix providing the data that one can use to correctly preallocate the matrix.
835 
836    Synopsis:
837    #include "petscmat.h"
838    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
839 
840    Collective on MPI_Comm
841 
842    Input Parameters:
843 +  dnz - the array that was be passed to the matrix preallocation routines
844 -  ozn - the other array passed to the matrix preallocation routines
845 
846 
847    Level: intermediate
848 
849    Notes:
850     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
851 
852    Do not malloc or free dnz and onz that is handled internally by these routines
853 
854    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
855 
856   Concepts: preallocation^Matrix
857 
858 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
859           MatPreallocateSymmetricSetLocal()
860 M*/
861 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
862 
863 
864 
865 /* Routines unique to particular data structures */
866 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
867 
868 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
869 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
870 
871 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
872 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
873 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
874 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
875 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
876 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
877 
878 #define MAT_SKIP_ALLOCATION -4
879 
880 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
883 
884 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
885 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
886 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
887 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
888 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
891 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
892 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
893 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
894 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
895 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
896 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
897 
898 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
899 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
900 
901 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
902 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
903 
904 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
905 
906 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
907 /*
908   These routines are not usually accessed directly, rather solving is
909   done through the KSP and PC interfaces.
910 */
911 
912 /*J
913     MatOrderingType - String with the name of a PETSc matrix ordering
914 
915    Level: beginner
916 
917 .seealso: MatGetOrdering()
918 J*/
919 typedef const char* MatOrderingType;
920 #define MATORDERINGNATURAL     "natural"
921 #define MATORDERINGND          "nd"
922 #define MATORDERING1WD         "1wd"
923 #define MATORDERINGRCM         "rcm"
924 #define MATORDERINGQMD         "qmd"
925 #define MATORDERINGROWLENGTH   "rowlength"
926 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
927 
928 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
929 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
930 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
931 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
932 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
933 PETSC_EXTERN PetscFunctionList MatOrderingList;
934 
935 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
936 
937 /*S
938     MatFactorShiftType - Numeric Shift.
939 
940    Level: beginner
941 
942 S*/
943 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
944 PETSC_EXTERN const char *const MatFactorShiftTypes[];
945 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
946 
947 /*S
948    MatFactorInfo - Data passed into the matrix factorization routines
949 
950    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
951 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
952 
953    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
954 
955       You can use MatFactorInfoInitialize() to set default values.
956 
957    Level: developer
958 
959 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
960           MatFactorInfoInitialize()
961 
962 S*/
963 typedef struct {
964   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
965   PetscReal     usedt;
966   PetscReal     dt;             /* drop tolerance */
967   PetscReal     dtcol;          /* tolerance for pivoting */
968   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
969   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
970   PetscReal     levels;         /* ICC/ILU(levels) */
971   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
972                                    factorization may be faster if do not pivot */
973   PetscReal     zeropivot;      /* pivot is called zero if less than this */
974   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
975   PetscReal     shiftamount;     /* how large the shift is */
976 } MatFactorInfo;
977 
978 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
990 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
997 
998 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
999 
1000 /*E
1001     MatSORType - What type of (S)SOR to perform
1002 
1003     Level: beginner
1004 
1005    May be bitwise ORd together
1006 
1007    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1008 
1009    MatSORType may be bitwise ORd together, so do not change the numbers
1010 
1011 .seealso: MatSOR()
1012 E*/
1013 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1014               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1015               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1016               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1017 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1018 
1019 /*
1020     These routines are for efficiently computing Jacobians via finite differences.
1021 */
1022 
1023 /*J
1024     MatColoringType - String with the name of a PETSc matrix coloring
1025 
1026    Level: beginner
1027 
1028 .seealso: MatGetColoring(), MatColoring
1029 J*/
1030 typedef const char* MatColoringType;
1031 #define MATCOLORINGNATURAL "natural"
1032 #define MATCOLORINGSL      "sl"
1033 #define MATCOLORINGLF      "lf"
1034 #define MATCOLORINGID      "id"
1035 
1036 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1037 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1038 
1039 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1040 
1041 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1042 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1043 
1044 /*S
1045      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1046         and coloring
1047 
1048    Level: beginner
1049 
1050   Concepts: coloring, sparse Jacobian, finite differences
1051 
1052 .seealso:  MatFDColoringCreate()
1053 S*/
1054 typedef struct _p_MatFDColoring* MatFDColoring;
1055 
1056 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1057 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1058 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1059 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1060 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1061 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1062 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1063 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1064 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1065 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1066 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1067 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1068 
1069 
1070 /*S
1071      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1072 
1073    Level: beginner
1074 
1075   Concepts: coloring, sparse matrix product
1076 
1077 .seealso:  MatTransposeColoringCreate()
1078 S*/
1079 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1080 
1081 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1082 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1083 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1084 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1085 
1086 /*
1087     These routines are for partitioning matrices: currently used only
1088   for adjacency matrix, MatCreateMPIAdj().
1089 */
1090 
1091 /*S
1092      MatPartitioning - Object for managing the partitioning of a matrix or graph
1093 
1094    Level: beginner
1095 
1096   Concepts: partitioning
1097 
1098 .seealso:  MatPartitioningCreate(), MatPartitioningType
1099 S*/
1100 typedef struct _p_MatPartitioning* MatPartitioning;
1101 
1102 /*J
1103     MatPartitioningType - String with the name of a PETSc matrix partitioning
1104 
1105    Level: beginner
1106 dm
1107 .seealso: MatPartitioningCreate(), MatPartitioning
1108 J*/
1109 typedef const char* MatPartitioningType;
1110 #define MATPARTITIONINGCURRENT  "current"
1111 #define MATPARTITIONINGSQUARE   "square"
1112 #define MATPARTITIONINGPARMETIS "parmetis"
1113 #define MATPARTITIONINGCHACO    "chaco"
1114 #define MATPARTITIONINGPARTY    "party"
1115 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1116 
1117 
1118 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1119 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1120 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1121 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1122 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1123 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1124 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1125 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1126 
1127 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1128 
1129 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1130 
1131 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1132 
1133 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1134 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1135 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1136 
1137 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1139 
1140 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1141 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1142 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1143 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1144 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1145 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1146 
1147 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1153 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1154 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1156 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1157 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1158 
1159 #define MP_PARTY_OPT "opt"
1160 #define MP_PARTY_LIN "lin"
1161 #define MP_PARTY_SCA "sca"
1162 #define MP_PARTY_RAN "ran"
1163 #define MP_PARTY_GBF "gbf"
1164 #define MP_PARTY_GCF "gcf"
1165 #define MP_PARTY_BUB "bub"
1166 #define MP_PARTY_DEF "def"
1167 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1168 #define MP_PARTY_HELPFUL_SETS "hs"
1169 #define MP_PARTY_KERNIGHAN_LIN "kl"
1170 #define MP_PARTY_NONE "no"
1171 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1175 
1176 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1177 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1178 
1179 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1180 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1181 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1182 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1183 
1184 /*
1185     These routines are for coarsening matrices:
1186 */
1187 
1188 /*S
1189      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1190 
1191    Level: beginner
1192 
1193   Concepts: coarsen
1194 
1195 .seealso:  MatCoarsenCreate), MatCoarsenType
1196 S*/
1197 typedef struct _p_MatCoarsen* MatCoarsen;
1198 
1199 /*J
1200     MatCoarsenType - String with the name of a PETSc matrix coarsen
1201 
1202    Level: beginner
1203 
1204 .seealso: MatCoarsenCreate(), MatCoarsen
1205 J*/
1206 typedef const char* MatCoarsenType;
1207 #define MATCOARSENMIS  "mis"
1208 #define MATCOARSENHEM  "hem"
1209 
1210 /* linked list for aggregates */
1211 typedef struct _PetscCDIntNd{
1212   struct _PetscCDIntNd *next;
1213   PetscInt             gid;
1214 }PetscCDIntNd;
1215 
1216 /* only used by node pool */
1217 typedef struct _PetscCDArrNd{
1218   struct _PetscCDArrNd *next;
1219   struct _PetscCDIntNd *array;
1220 }PetscCDArrNd;
1221 
1222 typedef struct _PetscCoarsenData{
1223   PetscCDArrNd pool_list;  /* node pool */
1224   PetscCDIntNd *new_node;
1225   PetscInt     new_left;
1226   PetscInt     chk_sz;
1227   PetscCDIntNd *extra_nodes;
1228   PetscCDIntNd **array;  /* Array of lists */
1229   PetscInt     size;
1230   Mat          mat;  /* cache a Mat for communication data */
1231 }PetscCoarsenData;
1232 
1233 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1234 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1235 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1236 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1237 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1238 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1239 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1240 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1241 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1242 
1243 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1244 
1245 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1246 
1247 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1248 
1249 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1250 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1251 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1252 
1253 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1254 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1255 
1256 /*
1257     If you add entries here you must also add them to finclude/petscmat.h
1258 */
1259 typedef enum { MATOP_SET_VALUES=0,
1260                MATOP_GET_ROW=1,
1261                MATOP_RESTORE_ROW=2,
1262                MATOP_MULT=3,
1263                MATOP_MULT_ADD=4,
1264                MATOP_MULT_TRANSPOSE=5,
1265                MATOP_MULT_TRANSPOSE_ADD=6,
1266                MATOP_SOLVE=7,
1267                MATOP_SOLVE_ADD=8,
1268                MATOP_SOLVE_TRANSPOSE=9,
1269                MATOP_SOLVE_TRANSPOSE_ADD=10,
1270                MATOP_LUFACTOR=11,
1271                MATOP_CHOLESKYFACTOR=12,
1272                MATOP_SOR=13,
1273                MATOP_TRANSPOSE=14,
1274                MATOP_GETINFO=15,
1275                MATOP_EQUAL=16,
1276                MATOP_GET_DIAGONAL=17,
1277                MATOP_DIAGONAL_SCALE=18,
1278                MATOP_NORM=19,
1279                MATOP_ASSEMBLY_BEGIN=20,
1280                MATOP_ASSEMBLY_END=21,
1281                MATOP_SET_OPTION=22,
1282                MATOP_ZERO_ENTRIES=23,
1283                MATOP_ZERO_ROWS=24,
1284                MATOP_LUFACTOR_SYMBOLIC=25,
1285                MATOP_LUFACTOR_NUMERIC=26,
1286                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1287                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1288                MATOP_SETUP_PREALLOCATION=29,
1289                MATOP_ILUFACTOR_SYMBOLIC=30,
1290                MATOP_ICCFACTOR_SYMBOLIC=31,
1291                /* MATOP_PLACEHOLDER_32=32, */
1292                /* MATOP_PLACEHOLDER_33=33, */
1293                MATOP_DUPLICATE=34,
1294                MATOP_FORWARD_SOLVE=35,
1295                MATOP_BACKWARD_SOLVE=36,
1296                MATOP_ILUFACTOR=37,
1297                MATOP_ICCFACTOR=38,
1298                MATOP_AXPY=39,
1299                MATOP_GET_SUBMATRICES=40,
1300                MATOP_INCREASE_OVERLAP=41,
1301                MATOP_GET_VALUES=42,
1302                MATOP_COPY=43,
1303                MATOP_GET_ROW_MAX=44,
1304                MATOP_SCALE=45,
1305                MATOP_SHIFT=46,
1306                MATOP_DIAGONAL_SET=47,
1307                MATOP_ZERO_ROWS_COLUMNS=48,
1308                MATOP_SET_RANDOM=49,
1309                MATOP_GET_ROW_IJ=50,
1310                MATOP_RESTORE_ROW_IJ=51,
1311                MATOP_GET_COLUMN_IJ=52,
1312                MATOP_RESTORE_COLUMN_IJ=53,
1313                MATOP_FDCOLORING_CREATE=54,
1314                MATOP_COLORING_PATCH=55,
1315                MATOP_SET_UNFACTORED=56,
1316                MATOP_PERMUTE=57,
1317                MATOP_SET_VALUES_BLOCKED=58,
1318                MATOP_GET_SUBMATRIX=59,
1319                MATOP_DESTROY=60,
1320                MATOP_VIEW=61,
1321                MATOP_CONVERT_FROM=62,
1322                MATOP_MATMAT_MULT=63,
1323                MATOP_MATMAT_MULT_SYMBOLIC=64,
1324                MATOP_MATMAT_MULT_NUMERIC=65,
1325                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1326                MATOP_SET_VALUES_LOCAL=67,
1327                MATOP_ZERO_ROWS_LOCAL=68,
1328                MATOP_GET_ROW_MAX_ABS=69,
1329                MATOP_GET_ROW_MIN_ABS=70,
1330                MATOP_CONVERT=71,
1331                MATOP_SET_COLORING=72,
1332                /* MATOP_PLACEHOLDER_73=73, */
1333                MATOP_SET_VALUES_ADIFOR=74,
1334                MATOP_FD_COLORING_APPLY=75,
1335                MATOP_SET_FROM_OPTIONS=76,
1336                MATOP_MULT_CONSTRAINED=77,
1337                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1338                MATOP_FIND_ZERO_DIAGONALS=79,
1339                MATOP_MULT_MULTIPLE=80,
1340                MATOP_SOLVE_MULTIPLE=81,
1341                MATOP_GET_INERTIA=82,
1342                MATOP_LOAD=83,
1343                MATOP_IS_SYMMETRIC=84,
1344                MATOP_IS_HERMITIAN=85,
1345                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1346                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1347                MATOP_GET_VECS=88,
1348                MATOP_MAT_MULT=89,
1349                MATOP_MAT_MULT_SYMBOLIC=90,
1350                MATOP_MAT_MULT_NUMERIC=91,
1351                MATOP_PTAP=92,
1352                MATOP_PTAP_SYMBOLIC=93,
1353                MATOP_PTAP_NUMERIC=94,
1354                MATOP_MAT_TRANSPOSE_MULT=95,
1355                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1356                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1357                /* MATOP_PLACEHOLDER_98=98, */
1358                /* MATOP_PLACEHOLDER_99=99, */
1359                /* MATOP_PLACEHOLDER_100=100, */
1360                /* MATOP_PLACEHOLDER_101=101, */
1361                MATOP_CONJUGATE=102,
1362                /* MATOP_PLACEHOLDER_103=103, */
1363                MATOP_SET_VALUES_ROW=104,
1364                MATOP_REAL_PART=105,
1365                MATOP_IMAGINARY_PART=106,
1366                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1367                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1368                MATOP_MAT_SOLVE=109,
1369                MATOP_GET_REDUNDANT_MATRIX=110,
1370                MATOP_GET_ROW_MIN=111,
1371                MATOP_GET_COLUMN_VECTOR=112,
1372                MATOP_MISSING_DIAGONAL=113,
1373                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1374                MATOP_CREATE=115,
1375                MATOP_GET_GHOSTS=116,
1376                MATOP_GET_LOCAL_SUB_MATRIX=117,
1377                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1378                MATOP_MULT_DIAGONAL_BLOCK=119,
1379                MATOP_HERMITIAN_TRANSPOSE=120,
1380                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1381                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1382                MATOP_GET_MULTI_PROC_BLOCK=123,
1383                MATOP_FIND_NONZERO_ROWS=124,
1384                MATOP_GET_COLUMN_NORMS=125,
1385                MATOP_INVERT_BLOCK_DIAGONAL=126,
1386                /* MATOP_PLACEHOLDER_127=127, */
1387                MATOP_GET_SUB_MATRICES_PARALLE=128,
1388                MATOP_SET_VALUES_BATCH=129,
1389                MATOP_TRANSPOSE_MAT_MULT=130,
1390                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1391                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1392                MATOP_TRANSPOSE_COLORING_CREAT=133,
1393                MATOP_TRANS_COLORING_APPLY_SPT=134,
1394                MATOP_TRANS_COLORING_APPLY_DEN=135,
1395                MATOP_RART=136,
1396                MATOP_RART_SYMBOLIC=137,
1397                MATOP_RART_NUMERIC=138,
1398                MATOP_SET_BLOCK_SIZES=139,
1399                MATOP_AYPX=140,
1400                MATOP_RESIDUAL=141,
1401                MATOP_FDCOLORING_SETUP= 142
1402              } MatOperation;
1403 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1404 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1405 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1406 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1407 
1408 /*
1409    Codes for matrices stored on disk. By default they are
1410    stored in a universal format. By changing the format with
1411    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1412    be stored in a way natural for the matrix, for example dense matrices
1413    would be stored as dense. Matrices stored this way may only be
1414    read into matrices of the same type.
1415 */
1416 #define MATRIX_BINARY_FORMAT_DENSE -1
1417 
1418 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1419 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1420 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1421 
1422 /*S
1423      MatNullSpace - Object that removes a null space from a vector, i.e.
1424          orthogonalizes the vector to a subsapce
1425 
1426    Level: advanced
1427 
1428   Concepts: matrix; linear operator, null space
1429 
1430   Users manual sections:
1431 .   sec_singular
1432 
1433 .seealso:  MatNullSpaceCreate()
1434 S*/
1435 typedef struct _p_MatNullSpace* MatNullSpace;
1436 
1437 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1438 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1439 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1440 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1441 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1442 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1443 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1444 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1445 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1446 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1447 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1448 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1449 
1450 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1451 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1452 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1453 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1454 
1455 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1456 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1457 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1458 
1459 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1460 
1461 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1462 
1463 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1464 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1465 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1466 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1467 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1468 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1469 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1470 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1471 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1472 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1473 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1474 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1475 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1476 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1477 
1478 /*S
1479     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1480               Jacobian vector products
1481 
1482     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1483 
1484            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1485 
1486     Level: developer
1487 
1488 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1489 S*/
1490 typedef struct _p_MatMFFD* MatMFFD;
1491 
1492 /*J
1493     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1494 
1495    Level: beginner
1496 
1497 .seealso: MatMFFDSetType(), MatMFFDRegister()
1498 J*/
1499 typedef const char* MatMFFDType;
1500 #define MATMFFD_DS  "ds"
1501 #define MATMFFD_WP  "wp"
1502 
1503 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1504 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1505 
1506 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1507 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1508 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1509 
1510 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1511 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1512 
1513 /*
1514    PETSc interface to MUMPS
1515 */
1516 #ifdef PETSC_HAVE_MUMPS
1517 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1518 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1519 #endif
1520 
1521 /*
1522    PETSc interface to SUPERLU
1523 */
1524 #ifdef PETSC_HAVE_SUPERLU
1525 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1526 #endif
1527 
1528 #ifdef PETSC_HAVE_CUDA
1529 /*E
1530     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1531     matrices.
1532 
1533     Not Collective
1534 
1535 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1536 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1537 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1538 
1539     Level: intermediate
1540 
1541    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1542 
1543 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1544 E*/
1545 
1546 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1547 
1548 /* these will be strings associated with enumerated type defined above */
1549 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1550 
1551 /*E
1552     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1553     matrices whose operation should use a particular storage format.
1554 
1555     Not Collective
1556 
1557 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1558 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1559 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1560 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1561 
1562     Level: intermediate
1563 
1564 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1565 E*/
1566 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1567 
1568 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1569 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1570 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1571 #endif
1572 
1573 #if defined(PETSC_HAVE_CUSP)
1574 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1575 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1576 
1577 /*E
1578     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1579     matrices.
1580 
1581     Not Collective
1582 
1583 +   MAT_CUSP_CSR - Compressed Sparse Row
1584 .   MAT_CUSP_DIA - Diagonal
1585 -   MAT_CUSP_ELL - Ellpack
1586 
1587     Level: intermediate
1588 
1589    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1590 
1591 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1592 E*/
1593 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1594 
1595 /* these will be strings associated with enumerated type defined above */
1596 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1597 
1598 /*E
1599     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1600     matrices whose operation should use a particular storage format.
1601 
1602     Not Collective
1603 
1604 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1605 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1606 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1607 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1608 
1609     Level: intermediate
1610 
1611    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1612 
1613 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1614 E*/
1615 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1616 
1617 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1618 #endif
1619 
1620 #if defined(PETSC_HAVE_VIENNACL)
1621 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1622 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1623 #endif
1624 
1625 /*
1626    PETSc interface to FFTW
1627 */
1628 #if defined(PETSC_HAVE_FFTW)
1629 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1630 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1631 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1632 #endif
1633 
1634 #if defined(PETSC_HAVE_ELEMENTAL)
1635 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1636 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1637 #endif
1638 
1639 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1640 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1641 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1642 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1643 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1644 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1645 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1646 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1647 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1648 
1649 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1650 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1651 
1652 #endif
1653