xref: /petsc/include/petscmat.h (revision 7086a01e50808532490660bd666d852c70b4be52)
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_COLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
145 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
146 
147 /*E
148     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
149      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
150      that the input matrix is to be replaced with the converted matrix.
151 
152     Level: beginner
153 
154    Any additions/changes here MUST also be made in include/finclude/petscmat.h
155 
156 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
157 E*/
158 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
159 
160 /*E
161     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
162      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
163 
164     Level: beginner
165 
166 .seealso: MatGetSeqNonzerostructure()
167 E*/
168 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
169 
170 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
171 
172 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
173 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
174 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
175 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
176 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,const char[],const char[]);
177 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
178 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
179 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
180 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
181 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
183 
184 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
185 PETSC_EXTERN PetscFunctionList MatList;
186 PETSC_EXTERN PetscFunctionList MatColoringList;
187 PETSC_EXTERN PetscFunctionList MatPartitioningList;
188 PETSC_EXTERN PetscFunctionList MatCoarsenList;
189 
190 /*E
191     MatStructure - Indicates if the matrix has the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/finclude/petscmat.h
196 
197 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
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 /*S
1024      MatColoring - Object for managing the coloring of matrices.
1025 
1026    Level: beginner
1027 
1028   Concepts: matrix, coloring
1029 
1030 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1031 S*/
1032 typedef struct _p_MatColoring* MatColoring;
1033 /*J
1034     MatColoringType - String with the name of a PETSc matrix coloring
1035 
1036    Level: beginner
1037 
1038 .seealso: MatColoringSetType(), MatColoring
1039 J*/
1040 
1041 typedef const  char*           MatColoringType;
1042 #define MATCOLORINGJP      "jp"
1043 #define MATCOLORINGMIS     "mis"
1044 #define MATCOLORINGNATURAL "natural"
1045 #define MATCOLORINGSL      "sl"
1046 #define MATCOLORINGLF      "lf"
1047 #define MATCOLORINGID      "id"
1048 
1049 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1050 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1051 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1052 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1053 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1054 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1055 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1056 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1057 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1058 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1059 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1060 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1061 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1062 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1063 
1064 /*S
1065      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1066         and coloring
1067 
1068    Level: beginner
1069 
1070   Concepts: coloring, sparse Jacobian, finite differences
1071 
1072 .seealso:  MatFDColoringCreate()
1073 S*/
1074 typedef struct _p_MatFDColoring* MatFDColoring;
1075 
1076 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1086 
1087 /*S
1088      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1089 
1090    Level: beginner
1091 
1092   Concepts: coloring, sparse matrix product
1093 
1094 .seealso:  MatTransposeColoringCreate()
1095 S*/
1096 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1097 
1098 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1099 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1100 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1101 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1102 
1103 /*
1104     These routines are for partitioning matrices: currently used only
1105   for adjacency matrix, MatCreateMPIAdj().
1106 */
1107 
1108 /*S
1109      MatPartitioning - Object for managing the partitioning of a matrix or graph
1110 
1111    Level: beginner
1112 
1113   Concepts: partitioning
1114 
1115 .seealso:  MatPartitioningCreate(), MatPartitioningType
1116 S*/
1117 typedef struct _p_MatPartitioning* MatPartitioning;
1118 
1119 /*J
1120     MatPartitioningType - String with the name of a PETSc matrix partitioning
1121 
1122    Level: beginner
1123 dm
1124 .seealso: MatPartitioningCreate(), MatPartitioning
1125 J*/
1126 typedef const char* MatPartitioningType;
1127 #define MATPARTITIONINGCURRENT  "current"
1128 #define MATPARTITIONINGSQUARE   "square"
1129 #define MATPARTITIONINGPARMETIS "parmetis"
1130 #define MATPARTITIONINGCHACO    "chaco"
1131 #define MATPARTITIONINGPARTY    "party"
1132 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1133 
1134 
1135 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1136 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1137 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1143 
1144 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1145 
1146 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1147 
1148 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1149 
1150 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1153 
1154 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1155 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1156 
1157 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1158 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1159 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1160 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1161 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1162 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1163 
1164 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1165 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1175 
1176 #define MP_PARTY_OPT "opt"
1177 #define MP_PARTY_LIN "lin"
1178 #define MP_PARTY_SCA "sca"
1179 #define MP_PARTY_RAN "ran"
1180 #define MP_PARTY_GBF "gbf"
1181 #define MP_PARTY_GCF "gcf"
1182 #define MP_PARTY_BUB "bub"
1183 #define MP_PARTY_DEF "def"
1184 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1185 #define MP_PARTY_HELPFUL_SETS "hs"
1186 #define MP_PARTY_KERNIGHAN_LIN "kl"
1187 #define MP_PARTY_NONE "no"
1188 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1189 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1190 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1192 
1193 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1194 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1195 
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1200 
1201 /*
1202     These routines are for coarsening matrices:
1203 */
1204 
1205 /*S
1206      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1207 
1208    Level: beginner
1209 
1210   Concepts: coarsen
1211 
1212 .seealso:  MatCoarsenCreate), MatCoarsenType
1213 S*/
1214 typedef struct _p_MatCoarsen* MatCoarsen;
1215 
1216 /*J
1217     MatCoarsenType - String with the name of a PETSc matrix coarsen
1218 
1219    Level: beginner
1220 
1221 .seealso: MatCoarsenCreate(), MatCoarsen
1222 J*/
1223 typedef const char* MatCoarsenType;
1224 #define MATCOARSENMIS  "mis"
1225 #define MATCOARSENHEM  "hem"
1226 
1227 /* linked list for aggregates */
1228 typedef struct _PetscCDIntNd{
1229   struct _PetscCDIntNd *next;
1230   PetscInt             gid;
1231 }PetscCDIntNd;
1232 
1233 /* only used by node pool */
1234 typedef struct _PetscCDArrNd{
1235   struct _PetscCDArrNd *next;
1236   struct _PetscCDIntNd *array;
1237 }PetscCDArrNd;
1238 
1239 typedef struct _PetscCoarsenData{
1240   PetscCDArrNd pool_list;  /* node pool */
1241   PetscCDIntNd *new_node;
1242   PetscInt     new_left;
1243   PetscInt     chk_sz;
1244   PetscCDIntNd *extra_nodes;
1245   PetscCDIntNd **array;  /* Array of lists */
1246   PetscInt     size;
1247   Mat          mat;  /* cache a Mat for communication data */
1248 }PetscCoarsenData;
1249 
1250 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1251 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1252 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1256 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1257 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1259 
1260 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1261 
1262 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1263 
1264 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1265 
1266 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1267 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1268 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1269 
1270 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1271 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1272 
1273 /*
1274     If you add entries here you must also add them to finclude/petscmat.h
1275 */
1276 typedef enum { MATOP_SET_VALUES=0,
1277                MATOP_GET_ROW=1,
1278                MATOP_RESTORE_ROW=2,
1279                MATOP_MULT=3,
1280                MATOP_MULT_ADD=4,
1281                MATOP_MULT_TRANSPOSE=5,
1282                MATOP_MULT_TRANSPOSE_ADD=6,
1283                MATOP_SOLVE=7,
1284                MATOP_SOLVE_ADD=8,
1285                MATOP_SOLVE_TRANSPOSE=9,
1286                MATOP_SOLVE_TRANSPOSE_ADD=10,
1287                MATOP_LUFACTOR=11,
1288                MATOP_CHOLESKYFACTOR=12,
1289                MATOP_SOR=13,
1290                MATOP_TRANSPOSE=14,
1291                MATOP_GETINFO=15,
1292                MATOP_EQUAL=16,
1293                MATOP_GET_DIAGONAL=17,
1294                MATOP_DIAGONAL_SCALE=18,
1295                MATOP_NORM=19,
1296                MATOP_ASSEMBLY_BEGIN=20,
1297                MATOP_ASSEMBLY_END=21,
1298                MATOP_SET_OPTION=22,
1299                MATOP_ZERO_ENTRIES=23,
1300                MATOP_ZERO_ROWS=24,
1301                MATOP_LUFACTOR_SYMBOLIC=25,
1302                MATOP_LUFACTOR_NUMERIC=26,
1303                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1304                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1305                MATOP_SETUP_PREALLOCATION=29,
1306                MATOP_ILUFACTOR_SYMBOLIC=30,
1307                MATOP_ICCFACTOR_SYMBOLIC=31,
1308                /* MATOP_PLACEHOLDER_32=32, */
1309                /* MATOP_PLACEHOLDER_33=33, */
1310                MATOP_DUPLICATE=34,
1311                MATOP_FORWARD_SOLVE=35,
1312                MATOP_BACKWARD_SOLVE=36,
1313                MATOP_ILUFACTOR=37,
1314                MATOP_ICCFACTOR=38,
1315                MATOP_AXPY=39,
1316                MATOP_GET_SUBMATRICES=40,
1317                MATOP_INCREASE_OVERLAP=41,
1318                MATOP_GET_VALUES=42,
1319                MATOP_COPY=43,
1320                MATOP_GET_ROW_MAX=44,
1321                MATOP_SCALE=45,
1322                MATOP_SHIFT=46,
1323                MATOP_DIAGONAL_SET=47,
1324                MATOP_ZERO_ROWS_COLUMNS=48,
1325                MATOP_SET_RANDOM=49,
1326                MATOP_GET_ROW_IJ=50,
1327                MATOP_RESTORE_ROW_IJ=51,
1328                MATOP_GET_COLUMN_IJ=52,
1329                MATOP_RESTORE_COLUMN_IJ=53,
1330                MATOP_FDCOLORING_CREATE=54,
1331                MATOP_COLORING_PATCH=55,
1332                MATOP_SET_UNFACTORED=56,
1333                MATOP_PERMUTE=57,
1334                MATOP_SET_VALUES_BLOCKED=58,
1335                MATOP_GET_SUBMATRIX=59,
1336                MATOP_DESTROY=60,
1337                MATOP_VIEW=61,
1338                MATOP_CONVERT_FROM=62,
1339                MATOP_MATMAT_MULT=63,
1340                MATOP_MATMAT_MULT_SYMBOLIC=64,
1341                MATOP_MATMAT_MULT_NUMERIC=65,
1342                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1343                MATOP_SET_VALUES_LOCAL=67,
1344                MATOP_ZERO_ROWS_LOCAL=68,
1345                MATOP_GET_ROW_MAX_ABS=69,
1346                MATOP_GET_ROW_MIN_ABS=70,
1347                MATOP_CONVERT=71,
1348                MATOP_SET_COLORING=72,
1349                /* MATOP_PLACEHOLDER_73=73, */
1350                MATOP_SET_VALUES_ADIFOR=74,
1351                MATOP_FD_COLORING_APPLY=75,
1352                MATOP_SET_FROM_OPTIONS=76,
1353                MATOP_MULT_CONSTRAINED=77,
1354                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1355                MATOP_FIND_ZERO_DIAGONALS=79,
1356                MATOP_MULT_MULTIPLE=80,
1357                MATOP_SOLVE_MULTIPLE=81,
1358                MATOP_GET_INERTIA=82,
1359                MATOP_LOAD=83,
1360                MATOP_IS_SYMMETRIC=84,
1361                MATOP_IS_HERMITIAN=85,
1362                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1363                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1364                MATOP_GET_VECS=88,
1365                MATOP_MAT_MULT=89,
1366                MATOP_MAT_MULT_SYMBOLIC=90,
1367                MATOP_MAT_MULT_NUMERIC=91,
1368                MATOP_PTAP=92,
1369                MATOP_PTAP_SYMBOLIC=93,
1370                MATOP_PTAP_NUMERIC=94,
1371                MATOP_MAT_TRANSPOSE_MULT=95,
1372                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1373                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1374                /* MATOP_PLACEHOLDER_98=98, */
1375                /* MATOP_PLACEHOLDER_99=99, */
1376                /* MATOP_PLACEHOLDER_100=100, */
1377                /* MATOP_PLACEHOLDER_101=101, */
1378                MATOP_CONJUGATE=102,
1379                /* MATOP_PLACEHOLDER_103=103, */
1380                MATOP_SET_VALUES_ROW=104,
1381                MATOP_REAL_PART=105,
1382                MATOP_IMAGINARY_PART=106,
1383                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1384                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1385                MATOP_MAT_SOLVE=109,
1386                MATOP_GET_REDUNDANT_MATRIX=110,
1387                MATOP_GET_ROW_MIN=111,
1388                MATOP_GET_COLUMN_VECTOR=112,
1389                MATOP_MISSING_DIAGONAL=113,
1390                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1391                MATOP_CREATE=115,
1392                MATOP_GET_GHOSTS=116,
1393                MATOP_GET_LOCAL_SUB_MATRIX=117,
1394                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1395                MATOP_MULT_DIAGONAL_BLOCK=119,
1396                MATOP_HERMITIAN_TRANSPOSE=120,
1397                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1398                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1399                MATOP_GET_MULTI_PROC_BLOCK=123,
1400                MATOP_FIND_NONZERO_ROWS=124,
1401                MATOP_GET_COLUMN_NORMS=125,
1402                MATOP_INVERT_BLOCK_DIAGONAL=126,
1403                /* MATOP_PLACEHOLDER_127=127, */
1404                MATOP_GET_SUB_MATRICES_PARALLE=128,
1405                MATOP_SET_VALUES_BATCH=129,
1406                MATOP_TRANSPOSE_MAT_MULT=130,
1407                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1408                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1409                MATOP_TRANSPOSE_COLORING_CREAT=133,
1410                MATOP_TRANS_COLORING_APPLY_SPT=134,
1411                MATOP_TRANS_COLORING_APPLY_DEN=135,
1412                MATOP_RART=136,
1413                MATOP_RART_SYMBOLIC=137,
1414                MATOP_RART_NUMERIC=138,
1415                MATOP_SET_BLOCK_SIZES=139,
1416                MATOP_AYPX=140,
1417                MATOP_RESIDUAL=141
1418              } MatOperation;
1419 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1420 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1421 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1422 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1423 
1424 /*
1425    Codes for matrices stored on disk. By default they are
1426    stored in a universal format. By changing the format with
1427    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1428    be stored in a way natural for the matrix, for example dense matrices
1429    would be stored as dense. Matrices stored this way may only be
1430    read into matrices of the same type.
1431 */
1432 #define MATRIX_BINARY_FORMAT_DENSE -1
1433 
1434 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1435 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1436 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1437 
1438 /*S
1439      MatNullSpace - Object that removes a null space from a vector, i.e.
1440          orthogonalizes the vector to a subsapce
1441 
1442    Level: advanced
1443 
1444   Concepts: matrix; linear operator, null space
1445 
1446   Users manual sections:
1447 .   sec_singular
1448 
1449 .seealso:  MatNullSpaceCreate()
1450 S*/
1451 typedef struct _p_MatNullSpace* MatNullSpace;
1452 
1453 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1454 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1455 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1456 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1457 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1458 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1459 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1460 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1461 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1462 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1465 
1466 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1467 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1468 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1469 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1470 
1471 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1472 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1473 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1474 
1475 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1476 
1477 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1478 
1479 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1480 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1481 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1482 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1483 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1484 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1485 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1486 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1487 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1489 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1491 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1493 
1494 /*S
1495     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1496               Jacobian vector products
1497 
1498     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1499 
1500            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1501 
1502     Level: developer
1503 
1504 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1505 S*/
1506 typedef struct _p_MatMFFD* MatMFFD;
1507 
1508 /*J
1509     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1510 
1511    Level: beginner
1512 
1513 .seealso: MatMFFDSetType(), MatMFFDRegister()
1514 J*/
1515 typedef const char* MatMFFDType;
1516 #define MATMFFD_DS  "ds"
1517 #define MATMFFD_WP  "wp"
1518 
1519 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1520 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1521 
1522 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1523 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1524 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1525 
1526 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1527 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1528 
1529 /*
1530    PETSc interface to MUMPS
1531 */
1532 #ifdef PETSC_HAVE_MUMPS
1533 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1534 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1535 #endif
1536 
1537 /*
1538    PETSc interface to SUPERLU
1539 */
1540 #ifdef PETSC_HAVE_SUPERLU
1541 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1542 #endif
1543 
1544 #ifdef PETSC_HAVE_CUDA
1545 /*E
1546     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1547     matrices.
1548 
1549     Not Collective
1550 
1551 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1552 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1553 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1554 
1555     Level: intermediate
1556 
1557    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1558 
1559 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1560 E*/
1561 
1562 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1563 
1564 /* these will be strings associated with enumerated type defined above */
1565 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1566 
1567 /*E
1568     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1569     matrices whose operation should use a particular storage format.
1570 
1571     Not Collective
1572 
1573 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1574 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1575 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1576 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1577 
1578     Level: intermediate
1579 
1580 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1581 E*/
1582 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1583 
1584 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1585 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1586 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1587 #endif
1588 
1589 #if defined(PETSC_HAVE_CUSP)
1590 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1591 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1592 
1593 /*E
1594     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1595     matrices.
1596 
1597     Not Collective
1598 
1599 +   MAT_CUSP_CSR - Compressed Sparse Row
1600 .   MAT_CUSP_DIA - Diagonal
1601 -   MAT_CUSP_ELL - Ellpack
1602 
1603     Level: intermediate
1604 
1605    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1606 
1607 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1608 E*/
1609 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1610 
1611 /* these will be strings associated with enumerated type defined above */
1612 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1613 
1614 /*E
1615     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1616     matrices whose operation should use a particular storage format.
1617 
1618     Not Collective
1619 
1620 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1621 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1622 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1623 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1624 
1625     Level: intermediate
1626 
1627    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1628 
1629 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1630 E*/
1631 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1632 
1633 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1634 #endif
1635 
1636 #if defined(PETSC_HAVE_VIENNACL)
1637 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1638 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1639 #endif
1640 
1641 /*
1642    PETSc interface to FFTW
1643 */
1644 #if defined(PETSC_HAVE_FFTW)
1645 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1646 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1647 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1648 #endif
1649 
1650 #if defined(PETSC_HAVE_ELEMENTAL)
1651 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1652 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1653 #endif
1654 
1655 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1656 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1657 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1658 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1659 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1660 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1661 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1662 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1663 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1664 
1665 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1666 
1667 #endif
1668