xref: /petsc/include/petscmat.h (revision f9426fe092dba0ba2fdf65dfec8d938c4b10a31c)
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 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
379 
380 /*E
381     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
382   its numerical values copied over or just its nonzero structure.
383 
384     Level: beginner
385 
386    Any additions/changes here MUST also be made in include/finclude/petscmat.h
387 
388 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
389 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
390 $                               have several matrices with the same nonzero pattern.
391 
392 .seealso: MatDuplicate()
393 E*/
394 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
395 
396 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
397 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
398 
399 
400 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
401 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
402 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
408 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
409 
410 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
411 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
412 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
413 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
414 
415 /*S
416      MatInfo - Context of matrix information, used with MatGetInfo()
417 
418    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
419 
420    Level: intermediate
421 
422   Concepts: matrix^nonzero information
423 
424 .seealso:  MatGetInfo(), MatInfoType
425 S*/
426 typedef struct {
427   PetscLogDouble block_size;                         /* block size */
428   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
429   PetscLogDouble memory;                             /* memory allocated */
430   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
431   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
432   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
433   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
434 } MatInfo;
435 
436 /*E
437     MatInfoType - Indicates if you want information about the local part of the matrix,
438      the entire parallel matrix or the maximum over all the local parts.
439 
440     Level: beginner
441 
442    Any additions/changes here MUST also be made in include/finclude/petscmat.h
443 
444 .seealso: MatGetInfo(), MatInfo
445 E*/
446 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
447 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
448 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
449 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
450 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
453 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
454 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
455 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
456 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
457 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
458 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
459 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
460 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
461 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
462 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
463 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
464 
465 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
466 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
467 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
468 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
470 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
474 
475 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
482 
483 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
484 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
485 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
487 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
488 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
489 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
490 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
491 
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
498 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
499 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
500 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
501 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
502 
503 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
504 
505 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
508 
509 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
512 
513 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
515 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
516 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
519 
520 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
522 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
526 
527 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
528 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
529 
530 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
531 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
532 
533 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
534 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
535 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
536 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
537 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
538 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
539 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
542 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
543 
544 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
545 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
546 
547 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
548 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
551 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
552 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
553 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
554 
555 /*MC
556    MatSetValue - Set a single entry into a matrix.
557 
558    Not collective
559 
560    Input Parameters:
561 +  m - the matrix
562 .  row - the row location of the entry
563 .  col - the column location of the entry
564 .  value - the value to insert
565 -  mode - either INSERT_VALUES or ADD_VALUES
566 
567    Notes:
568    For efficiency one should use MatSetValues() and set several or many
569    values simultaneously if possible.
570 
571    Level: beginner
572 
573 .seealso: MatSetValues(), MatSetValueLocal()
574 M*/
575 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
576 
577 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
578 
579 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
580 
581 /*MC
582    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
583        row in a matrix providing the data that one can use to correctly preallocate the matrix.
584 
585    Synopsis:
586    #include "petscmat.h"
587    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
588 
589    Collective on MPI_Comm
590 
591    Input Parameters:
592 +  comm - the communicator that will share the eventually allocated matrix
593 .  nrows - the number of LOCAL rows in the matrix
594 -  ncols - the number of LOCAL columns in the matrix
595 
596    Output Parameters:
597 +  dnz - the array that will be passed to the matrix preallocation routines
598 -  ozn - the other array passed to the matrix preallocation routines
599 
600 
601    Level: intermediate
602 
603    Notes:
604     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
605 
606    Do not malloc or free dnz and onz, that is handled internally by these routines
607 
608    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
609 
610    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
611 
612   Concepts: preallocation^Matrix
613 
614 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
615           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
616 M*/
617 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
618 { \
619   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
620   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
621   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
622   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
623   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
624   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
625 
626 /*MC
627    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
628        inserted using a local number of the rows and columns
629 
630    Synopsis:
631    #include "petscmat.h"
632    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
633 
634    Not Collective
635 
636    Input Parameters:
637 +  map - the row mapping from local numbering to global numbering
638 .  nrows - the number of rows indicated
639 .  rows - the indices of the rows
640 .  cmap - the column mapping from local to global numbering
641 .  ncols - the number of columns in the matrix
642 .  cols - the columns indicated
643 .  dnz - the array that will be passed to the matrix preallocation routines
644 -  ozn - the other array passed to the matrix preallocation routines
645 
646 
647    Level: intermediate
648 
649    Notes:
650     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
651 
652    Do not malloc or free dnz and onz, that is handled internally by these routines
653 
654   Concepts: preallocation^Matrix
655 
656 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
657           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
658 M*/
659 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
660 {\
661   PetscInt __l;\
662   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
663   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
664   for (__l=0;__l<nrows;__l++) {\
665     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
666   }\
667 }
668 
669 /*MC
670    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
671        inserted using a local number of the rows and columns
672 
673    Synopsis:
674    #include "petscmat.h"
675    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
676 
677    Not Collective
678 
679    Input Parameters:
680 +  map - the mapping between local numbering and global numbering
681 .  nrows - the number of rows indicated
682 .  rows - the indices of the rows
683 .  ncols - the number of columns in the matrix
684 .  cols - the columns indicated
685 .  dnz - the array that will be passed to the matrix preallocation routines
686 -  ozn - the other array passed to the matrix preallocation routines
687 
688 
689    Level: intermediate
690 
691    Notes:
692     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
693 
694    Do not malloc or free dnz and onz that is handled internally by these routines
695 
696   Concepts: preallocation^Matrix
697 
698 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
699           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
700 M*/
701 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
702 {\
703   PetscInt __l;\
704   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
705   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
706   for (__l=0;__l<nrows;__l++) {\
707     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
708   }\
709 }
710 
711 /*MC
712    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include "petscmat.h"
717    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  row - the row
723 .  ncols - the number of columns in the matrix
724 -  cols - the columns indicated
725 
726    Output Parameters:
727 +  dnz - the array that will be passed to the matrix preallocation routines
728 -  ozn - the other array passed to the matrix preallocation routines
729 
730 
731    Level: intermediate
732 
733    Notes:
734     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
735 
736    Do not malloc or free dnz and onz that is handled internally by these routines
737 
738    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
739 
740   Concepts: preallocation^Matrix
741 
742 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
743           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
744 M*/
745 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
746 { PetscInt __i; \
747   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);\
748   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);\
749   for (__i=0; __i<nc; __i++) {\
750     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
751     else dnz[row - __rstart]++;\
752   }\
753 }
754 
755 /*MC
756    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
757        inserted using a local number of the rows and columns
758 
759    Synopsis:
760    #include "petscmat.h"
761    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
762 
763    Not Collective
764 
765    Input Parameters:
766 +  nrows - the number of rows indicated
767 .  rows - the indices of the rows
768 .  ncols - the number of columns in the matrix
769 .  cols - the columns indicated
770 .  dnz - the array that will be passed to the matrix preallocation routines
771 -  ozn - the other array passed to the matrix preallocation routines
772 
773 
774    Level: intermediate
775 
776    Notes:
777     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
778 
779    Do not malloc or free dnz and onz that is handled internally by these routines
780 
781    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
782 
783   Concepts: preallocation^Matrix
784 
785 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
786           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
787 M*/
788 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
789 { PetscInt __i; \
790   for (__i=0; __i<nc; __i++) {\
791     if (cols[__i] >= __end) onz[row - __rstart]++; \
792     else if (cols[__i] >= row) dnz[row - __rstart]++;\
793   }\
794 }
795 
796 /*MC
797    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
798 
799    Synopsis:
800    #include "petscmat.h"
801    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
802 
803    Not Collective
804 
805    Input Parameters:
806 .  A - matrix
807 .  row - row where values exist (must be local to this process)
808 .  ncols - number of columns
809 .  cols - columns with nonzeros
810 .  dnz - the array that will be passed to the matrix preallocation routines
811 -  ozn - the other array passed to the matrix preallocation routines
812 
813 
814    Level: intermediate
815 
816    Notes:
817     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
818 
819    Do not malloc or free dnz and onz that is handled internally by these routines
820 
821    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
822 
823   Concepts: preallocation^Matrix
824 
825 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
826           MatPreallocateSymmetricSetLocal()
827 M*/
828 #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);}
829 
830 
831 /*MC
832    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
833        row in a matrix providing the data that one can use to correctly preallocate the matrix.
834 
835    Synopsis:
836    #include "petscmat.h"
837    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
838 
839    Collective on MPI_Comm
840 
841    Input Parameters:
842 +  dnz - the array that was be passed to the matrix preallocation routines
843 -  ozn - the other array passed to the matrix preallocation routines
844 
845 
846    Level: intermediate
847 
848    Notes:
849     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
850 
851    Do not malloc or free dnz and onz that is handled internally by these routines
852 
853    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
854 
855   Concepts: preallocation^Matrix
856 
857 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
858           MatPreallocateSymmetricSetLocal()
859 M*/
860 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
861 
862 
863 
864 /* Routines unique to particular data structures */
865 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
866 
867 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
868 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
869 
870 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
871 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
872 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
873 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
874 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
875 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
876 
877 #define MAT_SKIP_ALLOCATION -4
878 
879 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
882 
883 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
884 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
885 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
886 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
887 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
891 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
892 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
893 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
894 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
895 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
896 
897 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
898 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
899 
900 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
901 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
902 
903 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
904 
905 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
906 /*
907   These routines are not usually accessed directly, rather solving is
908   done through the KSP and PC interfaces.
909 */
910 
911 /*J
912     MatOrderingType - String with the name of a PETSc matrix ordering
913 
914    Level: beginner
915 
916 .seealso: MatGetOrdering()
917 J*/
918 typedef const char* MatOrderingType;
919 #define MATORDERINGNATURAL     "natural"
920 #define MATORDERINGND          "nd"
921 #define MATORDERING1WD         "1wd"
922 #define MATORDERINGRCM         "rcm"
923 #define MATORDERINGQMD         "qmd"
924 #define MATORDERINGROWLENGTH   "rowlength"
925 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
926 
927 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
928 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
929 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
930 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
931 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
932 PETSC_EXTERN PetscFunctionList MatOrderingList;
933 
934 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
935 
936 /*S
937     MatFactorShiftType - Numeric Shift.
938 
939    Level: beginner
940 
941 S*/
942 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
943 PETSC_EXTERN const char *const MatFactorShiftTypes[];
944 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
945 
946 /*S
947    MatFactorInfo - Data passed into the matrix factorization routines
948 
949    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
950 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
951 
952    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
953 
954       You can use MatFactorInfoInitialize() to set default values.
955 
956    Level: developer
957 
958 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
959           MatFactorInfoInitialize()
960 
961 S*/
962 typedef struct {
963   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
964   PetscReal     usedt;
965   PetscReal     dt;             /* drop tolerance */
966   PetscReal     dtcol;          /* tolerance for pivoting */
967   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
968   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
969   PetscReal     levels;         /* ICC/ILU(levels) */
970   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
971                                    factorization may be faster if do not pivot */
972   PetscReal     zeropivot;      /* pivot is called zero if less than this */
973   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
974   PetscReal     shiftamount;     /* how large the shift is */
975 } MatFactorInfo;
976 
977 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
989 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
993 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
996 
997 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
998 
999 /*E
1000     MatSORType - What type of (S)SOR to perform
1001 
1002     Level: beginner
1003 
1004    May be bitwise ORd together
1005 
1006    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1007 
1008    MatSORType may be bitwise ORd together, so do not change the numbers
1009 
1010 .seealso: MatSOR()
1011 E*/
1012 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1013               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1014               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1015               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1016 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1017 
1018 /*
1019     These routines are for efficiently computing Jacobians via finite differences.
1020 */
1021 
1022 /*J
1023     MatColoringType - String with the name of a PETSc matrix coloring
1024 
1025    Level: beginner
1026 
1027 .seealso: MatGetColoring(), MatColoring
1028 J*/
1029 typedef const char* MatColoringType;
1030 #define MATCOLORINGNATURAL "natural"
1031 #define MATCOLORINGSL      "sl"
1032 #define MATCOLORINGLF      "lf"
1033 #define MATCOLORINGID      "id"
1034 
1035 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1036 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1037 
1038 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1039 
1040 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1041 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1042 
1043 /*S
1044      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1045         and coloring
1046 
1047    Level: beginner
1048 
1049   Concepts: coloring, sparse Jacobian, finite differences
1050 
1051 .seealso:  MatFDColoringCreate()
1052 S*/
1053 typedef struct _p_MatFDColoring* MatFDColoring;
1054 
1055 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1056 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1057 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1058 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1059 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1060 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1061 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1062 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1063 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1064 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1065 
1066 /*S
1067      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1068 
1069    Level: beginner
1070 
1071   Concepts: coloring, sparse matrix product
1072 
1073 .seealso:  MatTransposeColoringCreate()
1074 S*/
1075 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1076 
1077 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1078 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1079 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1080 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1081 
1082 /*
1083     These routines are for partitioning matrices: currently used only
1084   for adjacency matrix, MatCreateMPIAdj().
1085 */
1086 
1087 /*S
1088      MatPartitioning - Object for managing the partitioning of a matrix or graph
1089 
1090    Level: beginner
1091 
1092   Concepts: partitioning
1093 
1094 .seealso:  MatPartitioningCreate(), MatPartitioningType
1095 S*/
1096 typedef struct _p_MatPartitioning* MatPartitioning;
1097 
1098 /*J
1099     MatPartitioningType - String with the name of a PETSc matrix partitioning
1100 
1101    Level: beginner
1102 dm
1103 .seealso: MatPartitioningCreate(), MatPartitioning
1104 J*/
1105 typedef const char* MatPartitioningType;
1106 #define MATPARTITIONINGCURRENT  "current"
1107 #define MATPARTITIONINGSQUARE   "square"
1108 #define MATPARTITIONINGPARMETIS "parmetis"
1109 #define MATPARTITIONINGCHACO    "chaco"
1110 #define MATPARTITIONINGPARTY    "party"
1111 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1112 
1113 
1114 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1115 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1116 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1117 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1118 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1119 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1120 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1121 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1122 
1123 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1124 
1125 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1126 
1127 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1128 
1129 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1130 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1131 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1132 
1133 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1134 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1135 
1136 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1137 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1138 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1139 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1140 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1141 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1142 
1143 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1153 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1154 
1155 #define MP_PARTY_OPT "opt"
1156 #define MP_PARTY_LIN "lin"
1157 #define MP_PARTY_SCA "sca"
1158 #define MP_PARTY_RAN "ran"
1159 #define MP_PARTY_GBF "gbf"
1160 #define MP_PARTY_GCF "gcf"
1161 #define MP_PARTY_BUB "bub"
1162 #define MP_PARTY_DEF "def"
1163 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1164 #define MP_PARTY_HELPFUL_SETS "hs"
1165 #define MP_PARTY_KERNIGHAN_LIN "kl"
1166 #define MP_PARTY_NONE "no"
1167 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1171 
1172 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1173 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1174 
1175 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1178 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1179 
1180 /*
1181     These routines are for coarsening matrices:
1182 */
1183 
1184 /*S
1185      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1186 
1187    Level: beginner
1188 
1189   Concepts: coarsen
1190 
1191 .seealso:  MatCoarsenCreate), MatCoarsenType
1192 S*/
1193 typedef struct _p_MatCoarsen* MatCoarsen;
1194 
1195 /*J
1196     MatCoarsenType - String with the name of a PETSc matrix coarsen
1197 
1198    Level: beginner
1199 
1200 .seealso: MatCoarsenCreate(), MatCoarsen
1201 J*/
1202 typedef const char* MatCoarsenType;
1203 #define MATCOARSENMIS  "mis"
1204 #define MATCOARSENHEM  "hem"
1205 
1206 /* linked list for aggregates */
1207 typedef struct _PetscCDIntNd{
1208   struct _PetscCDIntNd *next;
1209   PetscInt             gid;
1210 }PetscCDIntNd;
1211 
1212 /* only used by node pool */
1213 typedef struct _PetscCDArrNd{
1214   struct _PetscCDArrNd *next;
1215   struct _PetscCDIntNd *array;
1216 }PetscCDArrNd;
1217 
1218 typedef struct _PetscCoarsenData{
1219   PetscCDArrNd pool_list;  /* node pool */
1220   PetscCDIntNd *new_node;
1221   PetscInt     new_left;
1222   PetscInt     chk_sz;
1223   PetscCDIntNd *extra_nodes;
1224   PetscCDIntNd **array;  /* Array of lists */
1225   PetscInt     size;
1226   Mat          mat;  /* cache a Mat for communication data */
1227 }PetscCoarsenData;
1228 
1229 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1230 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1231 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1232 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1233 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1234 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1235 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1236 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1237 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1238 
1239 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1240 
1241 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1242 
1243 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1244 
1245 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1246 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1247 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1248 
1249 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1250 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1251 
1252 /*
1253     If you add entries here you must also add them to finclude/petscmat.h
1254 */
1255 typedef enum { MATOP_SET_VALUES=0,
1256                MATOP_GET_ROW=1,
1257                MATOP_RESTORE_ROW=2,
1258                MATOP_MULT=3,
1259                MATOP_MULT_ADD=4,
1260                MATOP_MULT_TRANSPOSE=5,
1261                MATOP_MULT_TRANSPOSE_ADD=6,
1262                MATOP_SOLVE=7,
1263                MATOP_SOLVE_ADD=8,
1264                MATOP_SOLVE_TRANSPOSE=9,
1265                MATOP_SOLVE_TRANSPOSE_ADD=10,
1266                MATOP_LUFACTOR=11,
1267                MATOP_CHOLESKYFACTOR=12,
1268                MATOP_SOR=13,
1269                MATOP_TRANSPOSE=14,
1270                MATOP_GETINFO=15,
1271                MATOP_EQUAL=16,
1272                MATOP_GET_DIAGONAL=17,
1273                MATOP_DIAGONAL_SCALE=18,
1274                MATOP_NORM=19,
1275                MATOP_ASSEMBLY_BEGIN=20,
1276                MATOP_ASSEMBLY_END=21,
1277                MATOP_SET_OPTION=22,
1278                MATOP_ZERO_ENTRIES=23,
1279                MATOP_ZERO_ROWS=24,
1280                MATOP_LUFACTOR_SYMBOLIC=25,
1281                MATOP_LUFACTOR_NUMERIC=26,
1282                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1283                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1284                MATOP_SETUP_PREALLOCATION=29,
1285                MATOP_ILUFACTOR_SYMBOLIC=30,
1286                MATOP_ICCFACTOR_SYMBOLIC=31,
1287                MATOP_GET_ARRAY=32,
1288                MATOP_RESTORE_ARRAY=33,
1289                MATOP_DUPLICATE=34,
1290                MATOP_FORWARD_SOLVE=35,
1291                MATOP_BACKWARD_SOLVE=36,
1292                MATOP_ILUFACTOR=37,
1293                MATOP_ICCFACTOR=38,
1294                MATOP_AXPY=39,
1295                MATOP_GET_SUBMATRICES=40,
1296                MATOP_INCREASE_OVERLAP=41,
1297                MATOP_GET_VALUES=42,
1298                MATOP_COPY=43,
1299                MATOP_GET_ROW_MAX=44,
1300                MATOP_SCALE=45,
1301                MATOP_SHIFT=46,
1302                MATOP_DIAGONAL_SET=47,
1303                MATOP_ILUDT_FACTOR=48,
1304                MATOP_SET_BLOCK_SIZE=49,
1305                MATOP_GET_ROW_IJ=50,
1306                MATOP_RESTORE_ROW_IJ=51,
1307                MATOP_GET_COLUMN_IJ=52,
1308                MATOP_RESTORE_COLUMN_IJ=53,
1309                MATOP_FDCOLORING_CREATE=54,
1310                MATOP_COLORING_PATCH=55,
1311                MATOP_SET_UNFACTORED=56,
1312                MATOP_PERMUTE=57,
1313                MATOP_SET_VALUES_BLOCKED=58,
1314                MATOP_GET_SUBMATRIX=59,
1315                MATOP_DESTROY=60,
1316                MATOP_VIEW=61,
1317                MATOP_CONVERT_FROM=62,
1318                MATOP_MATMAT_MULT=63,
1319                MATOP_MATMAT_MULT_SYMBOLIC=64,
1320                MATOP_MATMAT_MULT_NUMERIC=65,
1321                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1322                MATOP_SET_VALUES_LOCAL=67,
1323                MATOP_ZERO_ROWS_LOCAL=68,
1324                MATOP_GET_ROW_MAX_ABS=69,
1325                MATOP_GET_ROW_MIN_ABS=70,
1326                MATOP_CONVERT=71,
1327                MATOP_SET_COLORING=72,
1328                MATOP_PLACEHOLDER=73,
1329                MATOP_SET_VALUES_ADIFOR=74,
1330                MATOP_FD_COLORING_APPLY=75,
1331                MATOP_SET_FROM_OPTIONS=76,
1332                MATOP_MULT_CONSTRAINED=77,
1333                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1334                MATOP_PERMUTE_SPARSIFY=79,
1335                MATOP_MULT_MULTIPLE=80,
1336                MATOP_SOLVE_MULTIPLE=81,
1337                MATOP_GET_INERTIA=82,
1338                MATOP_LOAD=83,
1339                MATOP_IS_SYMMETRIC=84,
1340                MATOP_IS_HERMITIAN=85,
1341                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1342                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1343                MATOP_GET_VECS=88,
1344                MATOP_MAT_MULT=89,
1345                MATOP_MAT_MULT_SYMBOLIC=90,
1346                MATOP_MAT_MULT_NUMERIC=91,
1347                MATOP_PTAP=92,
1348                MATOP_PTAP_SYMBOLIC=93,
1349                MATOP_PTAP_NUMERIC=94,
1350                MATOP_MAT_TRANSPOSE_MULT=95,
1351                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1352                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1353                MATOP_DUMMY98=98,
1354                MATOP_DUMMY99=99,
1355                MATOP_DUMMY100=100,
1356                MATOP_DUMMY101=101,
1357                MATOP_CONJUGATE=102,
1358                MATOP_SET_SIZES=103,
1359                MATOP_SET_VALUES_ROW=104,
1360                MATOP_REAL_PART=105,
1361                MATOP_IMAGINARY_PART=106,
1362                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1363                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1364                MATOP_MAT_SOLVE=109,
1365                MATOP_GET_REDUNDANT_MATRIX=110,
1366                MATOP_GET_ROW_MIN=111,
1367                MATOP_GET_COLUMN_VECTOR=112,
1368                MATOP_MISSING_DIAGONAL=113,
1369                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1370                MATOP_CREATE=115,
1371                MATOP_GET_GHOSTS=116,
1372                MATOP_GET_LOCAL_SUB_MATRIX=117,
1373                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1374                MATOP_MULT_DIAGONAL_BLOCK=119,
1375                MATOP_HERMITIAN_TRANSPOSE=120,
1376                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1377                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1378                MATOP_GET_MULTI_PROC_BLOCK=123,
1379                MATOP_GET_COLUMN_NORMS=125,
1380                MATOP_GET_SUB_MATRICES_PARALLE=128,
1381                MATOP_SET_VALUES_BATCH=129,
1382                MATOP_TRANSPOSE_MAT_MULT=130,
1383                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1384                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1385                MATOP_TRANSPOSE_COLORING_CREAT=133,
1386                MATOP_TRANS_COLORING_APPLY_SPT=134,
1387                MATOP_TRANS_COLORING_APPLY_DEN=135,
1388                MATOP_RART=136,
1389                MATOP_RART_SYMBOLIC=137,
1390                MATOP_RART_NUMERIC=138,
1391                MATOP_SET_BLOCK_SIZES=139,
1392                MATOP_AYPX=140,
1393                MATOP_RESIDUAL=141
1394              } MatOperation;
1395 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1396 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1397 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1398 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1399 
1400 /*
1401    Codes for matrices stored on disk. By default they are
1402    stored in a universal format. By changing the format with
1403    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1404    be stored in a way natural for the matrix, for example dense matrices
1405    would be stored as dense. Matrices stored this way may only be
1406    read into matrices of the same type.
1407 */
1408 #define MATRIX_BINARY_FORMAT_DENSE -1
1409 
1410 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1411 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1412 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1413 
1414 /*S
1415      MatNullSpace - Object that removes a null space from a vector, i.e.
1416          orthogonalizes the vector to a subsapce
1417 
1418    Level: advanced
1419 
1420   Concepts: matrix; linear operator, null space
1421 
1422   Users manual sections:
1423 .   sec_singular
1424 
1425 .seealso:  MatNullSpaceCreate()
1426 S*/
1427 typedef struct _p_MatNullSpace* MatNullSpace;
1428 
1429 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1430 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1431 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1432 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1433 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1434 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1435 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1436 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1437 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1438 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1439 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1440 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1441 
1442 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1443 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1444 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1445 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1446 
1447 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1448 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1449 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1450 
1451 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1452 
1453 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1454 
1455 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1456 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1457 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1458 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1459 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1460 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1461 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1462 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1463 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1464 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1465 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1466 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1467 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1468 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1469 
1470 /*S
1471     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1472               Jacobian vector products
1473 
1474     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1475 
1476            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1477 
1478     Level: developer
1479 
1480 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1481 S*/
1482 typedef struct _p_MatMFFD* MatMFFD;
1483 
1484 /*J
1485     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1486 
1487    Level: beginner
1488 
1489 .seealso: MatMFFDSetType(), MatMFFDRegister()
1490 J*/
1491 typedef const char* MatMFFDType;
1492 #define MATMFFD_DS  "ds"
1493 #define MATMFFD_WP  "wp"
1494 
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1496 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1497 
1498 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1499 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1500 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1501 
1502 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1503 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1504 
1505 /*
1506    PETSc interface to MUMPS
1507 */
1508 #ifdef PETSC_HAVE_MUMPS
1509 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1510 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1511 #endif
1512 
1513 /*
1514    PETSc interface to SUPERLU
1515 */
1516 #ifdef PETSC_HAVE_SUPERLU
1517 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1518 #endif
1519 
1520 #ifdef PETSC_HAVE_CUDA
1521 /*E
1522     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1523     matrices.
1524 
1525     Not Collective
1526 
1527 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1528 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1529 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1530 
1531     Level: intermediate
1532 
1533    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1534 
1535 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1536 E*/
1537 
1538 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1539 
1540 /* these will be strings associated with enumerated type defined above */
1541 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1542 
1543 /*E
1544     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1545     matrices whose operation should use a particular storage format.
1546 
1547     Not Collective
1548 
1549 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1550 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1551 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1552 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1553 
1554     Level: intermediate
1555 
1556 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1557 E*/
1558 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1559 
1560 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1561 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1562 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1563 #endif
1564 
1565 #if defined(PETSC_HAVE_CUSP)
1566 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1567 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1568 
1569 /*E
1570     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1571     matrices.
1572 
1573     Not Collective
1574 
1575 +   MAT_CUSP_CSR - Compressed Sparse Row
1576 .   MAT_CUSP_DIA - Diagonal
1577 -   MAT_CUSP_ELL - Ellpack
1578 
1579     Level: intermediate
1580 
1581    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1582 
1583 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1584 E*/
1585 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1586 
1587 /* these will be strings associated with enumerated type defined above */
1588 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1589 
1590 /*E
1591     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1592     matrices whose operation should use a particular storage format.
1593 
1594     Not Collective
1595 
1596 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1597 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1598 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1599 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1600 
1601     Level: intermediate
1602 
1603    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1604 
1605 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1606 E*/
1607 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1608 
1609 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1610 #endif
1611 
1612 #if defined(PETSC_HAVE_VIENNACL)
1613 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1614 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1615 #endif
1616 
1617 /*
1618    PETSc interface to FFTW
1619 */
1620 #if defined(PETSC_HAVE_FFTW)
1621 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1622 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1623 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1624 #endif
1625 
1626 #if defined(PETSC_HAVE_ELEMENTAL)
1627 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1628 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1629 #endif
1630 
1631 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1632 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1633 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1634 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1635 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1636 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1637 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1638 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1639 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1640 
1641 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1642 
1643 #endif
1644