xref: /petsc/include/petscmat.h (revision 7c8652dd9fb051dfaf30896d504f41ba028df3ea)
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_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
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 MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 
228 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
234 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
235 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
236 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
237 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
238 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
239 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
240 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
241 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
252 
253 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
254 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
257 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
258 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
259 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
260 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
261 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
262 
263 /* ------------------------------------------------------------*/
264 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
265 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
266 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
267 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
268 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
269 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
270 
271 /*S
272      MatStencil - Data structure (C struct) for storing information about a single row or
273         column of a matrix as indexed on an associated grid.
274 
275    Fortran usage is different, see MatSetValuesStencil() for details.
276 
277    Level: beginner
278 
279   Concepts: matrix; linear operator
280 
281 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
282 S*/
283 typedef struct {
284   PetscInt k,j,i,c;
285 } MatStencil;
286 
287 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
289 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
290 
291 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
292 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
293 
294 /*E
295     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
296      to continue to add values to it
297 
298     Level: beginner
299 
300 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
301 E*/
302 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
303 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
304 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
305 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
306 
307 
308 
309 /*E
310     MatOption - Options that may be set for a matrix and its behavior or storage
311 
312     Level: beginner
313 
314    Any additions/changes here MUST also be made in include/finclude/petscmat.h
315 
316    Developer Notes: Entries that are negative need not be called collectively by all processes.
317 
318 .seealso: MatSetOption()
319 E*/
320 typedef enum {MAT_OPTION_MIN = -8,
321               MAT_NEW_NONZERO_LOCATION_ERR = -7,
322               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
323               MAT_NO_OFF_PROC_ENTRIES = -5,
324               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
325               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
326               MAT_ROW_ORIENTED = -2,
327               MAT_NEW_NONZERO_LOCATIONS = -1,
328               MAT_SYMMETRIC = 1,
329               MAT_STRUCTURALLY_SYMMETRIC = 2,
330               MAT_NEW_DIAGONALS = 3,
331               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
332               MAT_USE_HASH_TABLE = 5,
333               MAT_KEEP_NONZERO_PATTERN = 6,
334               MAT_IGNORE_ZERO_ENTRIES = 7,
335               MAT_USE_INODES = 8,
336               MAT_HERMITIAN = 9,
337               MAT_SYMMETRY_ETERNAL = 10,
338               MAT_DUMMY = 11,
339               MAT_IGNORE_LOWER_TRIANGULAR = 12,
340               MAT_ERROR_LOWER_TRIANGULAR = 13,
341               MAT_GETROW_UPPERTRIANGULAR = 14,
342               MAT_SPD = 15,
343               MAT_OPTION_MAX = 16} MatOption;
344 
345 PETSC_EXTERN const char *MatOptions[];
346 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
347 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
348 
349 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
350 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
351 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
352 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
353 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
354 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
355 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
356 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
357 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
358 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
359 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
360 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
362 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
364 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
367 
368 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
369 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
374 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
375 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
376 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
380 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
381 
382 /*E
383     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
384   its numerical values copied over or just its nonzero structure.
385 
386     Level: beginner
387 
388    Any additions/changes here MUST also be made in include/finclude/petscmat.h
389 
390 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
391 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
392 $                               have several matrices with the same nonzero pattern.
393 
394 .seealso: MatDuplicate()
395 E*/
396 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
397 
398 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
399 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
400 
401 
402 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
403 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
404 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
405 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
410 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
411 
412 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
413 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
414 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 
417 /*S
418      MatInfo - Context of matrix information, used with MatGetInfo()
419 
420    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
421 
422    Level: intermediate
423 
424   Concepts: matrix^nonzero information
425 
426 .seealso:  MatGetInfo(), MatInfoType
427 S*/
428 typedef struct {
429   PetscLogDouble block_size;                         /* block size */
430   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
431   PetscLogDouble memory;                             /* memory allocated */
432   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
433   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
434   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
435   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
436 } MatInfo;
437 
438 /*E
439     MatInfoType - Indicates if you want information about the local part of the matrix,
440      the entire parallel matrix or the maximum over all the local parts.
441 
442     Level: beginner
443 
444    Any additions/changes here MUST also be made in include/finclude/petscmat.h
445 
446 .seealso: MatGetInfo(), MatInfo
447 E*/
448 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
449 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
450 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
451 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
453 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
456 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
457 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
458 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
459 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
460 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
461 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
462 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
463 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
464 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
465 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
466 
467 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
468 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
469 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
470 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
471 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
476 
477 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
478 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
484 
485 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
486 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
487 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
488 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
489 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
490 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
491 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
492 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
493 
494 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
500 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
502 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
503 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
504 
505 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
506 
507 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
508 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
509 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
510 
511 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
512 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
514 
515 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
516 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
518 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
528 
529 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
530 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
531 
532 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
533 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
534 
535 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
536 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
537 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
538 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
539 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
544 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
545 
546 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
547 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
548 
549 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
553 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
554 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
555 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
556 
557 /*MC
558    MatSetValue - Set a single entry into a matrix.
559 
560    Not collective
561 
562    Input Parameters:
563 +  m - the matrix
564 .  row - the row location of the entry
565 .  col - the column location of the entry
566 .  value - the value to insert
567 -  mode - either INSERT_VALUES or ADD_VALUES
568 
569    Notes:
570    For efficiency one should use MatSetValues() and set several or many
571    values simultaneously if possible.
572 
573    Level: beginner
574 
575 .seealso: MatSetValues(), MatSetValueLocal()
576 M*/
577 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
578 
579 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
580 
581 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
582 
583 /*MC
584    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
585        row in a matrix providing the data that one can use to correctly preallocate the matrix.
586 
587    Synopsis:
588    #include "petscmat.h"
589    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
590 
591    Collective on MPI_Comm
592 
593    Input Parameters:
594 +  comm - the communicator that will share the eventually allocated matrix
595 .  nrows - the number of LOCAL rows in the matrix
596 -  ncols - the number of LOCAL columns in the matrix
597 
598    Output Parameters:
599 +  dnz - the array that will be passed to the matrix preallocation routines
600 -  ozn - the other array passed to the matrix preallocation routines
601 
602 
603    Level: intermediate
604 
605    Notes:
606     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
607 
608    Do not malloc or free dnz and onz, that is handled internally by these routines
609 
610    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
611 
612    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
613 
614   Concepts: preallocation^Matrix
615 
616 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
617           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
618 M*/
619 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
620 { \
621   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
622   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
623   __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 MATORDERINGWBM         "wbm"
927 #define MATORDERINGSPECTRAL    "spectral"
928 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
929 
930 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
931 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
932 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
933 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
934 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
935 PETSC_EXTERN PetscFunctionList MatOrderingList;
936 
937 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
938 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
939 
940 /*S
941     MatFactorShiftType - Numeric Shift.
942 
943    Level: beginner
944 
945 S*/
946 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
947 PETSC_EXTERN const char *const MatFactorShiftTypes[];
948 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
949 
950 /*S
951    MatFactorInfo - Data passed into the matrix factorization routines
952 
953    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
954 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
955 
956    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
957 
958       You can use MatFactorInfoInitialize() to set default values.
959 
960    Level: developer
961 
962 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
963           MatFactorInfoInitialize()
964 
965 S*/
966 typedef struct {
967   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
968   PetscReal     usedt;
969   PetscReal     dt;             /* drop tolerance */
970   PetscReal     dtcol;          /* tolerance for pivoting */
971   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
972   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
973   PetscReal     levels;         /* ICC/ILU(levels) */
974   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
975                                    factorization may be faster if do not pivot */
976   PetscReal     zeropivot;      /* pivot is called zero if less than this */
977   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
978   PetscReal     shiftamount;     /* how large the shift is */
979 } MatFactorInfo;
980 
981 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
990 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
991 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
992 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
993 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
994 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
997 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
998 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
999 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1000 
1001 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1002 
1003 /*E
1004     MatSORType - What type of (S)SOR to perform
1005 
1006     Level: beginner
1007 
1008    May be bitwise ORd together
1009 
1010    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1011 
1012    MatSORType may be bitwise ORd together, so do not change the numbers
1013 
1014 .seealso: MatSOR()
1015 E*/
1016 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1017               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1018               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1019               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1020 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1021 
1022 /*
1023     These routines are for efficiently computing Jacobians via finite differences.
1024 */
1025 
1026 /*S
1027      MatColoring - Object for managing the coloring of matrices.
1028 
1029    Level: beginner
1030 
1031   Concepts: matrix, coloring
1032 
1033 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1034 S*/
1035 typedef struct _p_MatColoring* MatColoring;
1036 /*J
1037     MatColoringType - String with the name of a PETSc matrix coloring
1038 
1039    Level: beginner
1040 
1041 .seealso: MatColoringSetType(), MatColoring
1042 J*/
1043 
1044 typedef const  char*           MatColoringType;
1045 #define MATCOLORINGJP      "jp"
1046 #define MATCOLORINGMIS     "mis"
1047 #define MATCOLORINGNATURAL "natural"
1048 #define MATCOLORINGSL      "sl"
1049 #define MATCOLORINGLF      "lf"
1050 #define MATCOLORINGID      "id"
1051 
1052 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1053 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1054 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1055 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1056 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1057 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1058 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1059 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1060 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1061 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1062 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1063 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1064 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1065 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1066 
1067 /*S
1068      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1069         and coloring
1070 
1071    Level: beginner
1072 
1073   Concepts: coloring, sparse Jacobian, finite differences
1074 
1075 .seealso:  MatFDColoringCreate()
1076 S*/
1077 typedef struct _p_MatFDColoring* MatFDColoring;
1078 
1079 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1086 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1087 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1088 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1089 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1090 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1091 
1092 
1093 /*S
1094      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1095 
1096    Level: beginner
1097 
1098   Concepts: coloring, sparse matrix product
1099 
1100 .seealso:  MatTransposeColoringCreate()
1101 S*/
1102 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1103 
1104 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1105 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1106 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1107 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1108 
1109 /*
1110     These routines are for partitioning matrices: currently used only
1111   for adjacency matrix, MatCreateMPIAdj().
1112 */
1113 
1114 /*S
1115      MatPartitioning - Object for managing the partitioning of a matrix or graph
1116 
1117    Level: beginner
1118 
1119   Concepts: partitioning
1120 
1121 .seealso:  MatPartitioningCreate(), MatPartitioningType
1122 S*/
1123 typedef struct _p_MatPartitioning* MatPartitioning;
1124 
1125 /*J
1126     MatPartitioningType - String with the name of a PETSc matrix partitioning
1127 
1128    Level: beginner
1129 dm
1130 .seealso: MatPartitioningCreate(), MatPartitioning
1131 J*/
1132 typedef const char* MatPartitioningType;
1133 #define MATPARTITIONINGCURRENT  "current"
1134 #define MATPARTITIONINGSQUARE   "square"
1135 #define MATPARTITIONINGPARMETIS "parmetis"
1136 #define MATPARTITIONINGCHACO    "chaco"
1137 #define MATPARTITIONINGPARTY    "party"
1138 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1139 
1140 
1141 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1149 
1150 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1151 
1152 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1153 
1154 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1155 
1156 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1157 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1159 
1160 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1161 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1162 
1163 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1164 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1165 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1166 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1167 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1168 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1169 
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1178 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1179 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1180 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1181 
1182 #define MP_PARTY_OPT "opt"
1183 #define MP_PARTY_LIN "lin"
1184 #define MP_PARTY_SCA "sca"
1185 #define MP_PARTY_RAN "ran"
1186 #define MP_PARTY_GBF "gbf"
1187 #define MP_PARTY_GCF "gcf"
1188 #define MP_PARTY_BUB "bub"
1189 #define MP_PARTY_DEF "def"
1190 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1191 #define MP_PARTY_HELPFUL_SETS "hs"
1192 #define MP_PARTY_KERNIGHAN_LIN "kl"
1193 #define MP_PARTY_NONE "no"
1194 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1195 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1198 
1199 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1200 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1201 
1202 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1203 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1206 
1207 /*
1208     These routines are for coarsening matrices:
1209 */
1210 
1211 /*S
1212      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1213 
1214    Level: beginner
1215 
1216   Concepts: coarsen
1217 
1218 .seealso:  MatCoarsenCreate), MatCoarsenType
1219 S*/
1220 typedef struct _p_MatCoarsen* MatCoarsen;
1221 
1222 /*J
1223     MatCoarsenType - String with the name of a PETSc matrix coarsen
1224 
1225    Level: beginner
1226 
1227 .seealso: MatCoarsenCreate(), MatCoarsen
1228 J*/
1229 typedef const char* MatCoarsenType;
1230 #define MATCOARSENMIS  "mis"
1231 #define MATCOARSENHEM  "hem"
1232 
1233 /* linked list for aggregates */
1234 typedef struct _PetscCDIntNd{
1235   struct _PetscCDIntNd *next;
1236   PetscInt             gid;
1237 }PetscCDIntNd;
1238 
1239 /* only used by node pool */
1240 typedef struct _PetscCDArrNd{
1241   struct _PetscCDArrNd *next;
1242   struct _PetscCDIntNd *array;
1243 }PetscCDArrNd;
1244 
1245 typedef struct _PetscCoarsenData{
1246   PetscCDArrNd pool_list;  /* node pool */
1247   PetscCDIntNd *new_node;
1248   PetscInt     new_left;
1249   PetscInt     chk_sz;
1250   PetscCDIntNd *extra_nodes;
1251   PetscCDIntNd **array;  /* Array of lists */
1252   PetscInt     size;
1253   Mat          mat;  /* cache a Mat for communication data */
1254 }PetscCoarsenData;
1255 
1256 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1257 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1260 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1261 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1262 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1263 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1264 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1265 
1266 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1267 
1268 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1269 
1270 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1271 
1272 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1273 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1274 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1275 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1276 
1277 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1278 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1279 
1280 /*
1281     If you add entries here you must also add them to finclude/petscmat.h
1282 */
1283 typedef enum { MATOP_SET_VALUES=0,
1284                MATOP_GET_ROW=1,
1285                MATOP_RESTORE_ROW=2,
1286                MATOP_MULT=3,
1287                MATOP_MULT_ADD=4,
1288                MATOP_MULT_TRANSPOSE=5,
1289                MATOP_MULT_TRANSPOSE_ADD=6,
1290                MATOP_SOLVE=7,
1291                MATOP_SOLVE_ADD=8,
1292                MATOP_SOLVE_TRANSPOSE=9,
1293                MATOP_SOLVE_TRANSPOSE_ADD=10,
1294                MATOP_LUFACTOR=11,
1295                MATOP_CHOLESKYFACTOR=12,
1296                MATOP_SOR=13,
1297                MATOP_TRANSPOSE=14,
1298                MATOP_GETINFO=15,
1299                MATOP_EQUAL=16,
1300                MATOP_GET_DIAGONAL=17,
1301                MATOP_DIAGONAL_SCALE=18,
1302                MATOP_NORM=19,
1303                MATOP_ASSEMBLY_BEGIN=20,
1304                MATOP_ASSEMBLY_END=21,
1305                MATOP_SET_OPTION=22,
1306                MATOP_ZERO_ENTRIES=23,
1307                MATOP_ZERO_ROWS=24,
1308                MATOP_LUFACTOR_SYMBOLIC=25,
1309                MATOP_LUFACTOR_NUMERIC=26,
1310                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1311                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1312                MATOP_SETUP_PREALLOCATION=29,
1313                MATOP_ILUFACTOR_SYMBOLIC=30,
1314                MATOP_ICCFACTOR_SYMBOLIC=31,
1315                /* MATOP_PLACEHOLDER_32=32, */
1316                /* MATOP_PLACEHOLDER_33=33, */
1317                MATOP_DUPLICATE=34,
1318                MATOP_FORWARD_SOLVE=35,
1319                MATOP_BACKWARD_SOLVE=36,
1320                MATOP_ILUFACTOR=37,
1321                MATOP_ICCFACTOR=38,
1322                MATOP_AXPY=39,
1323                MATOP_GET_SUBMATRICES=40,
1324                MATOP_INCREASE_OVERLAP=41,
1325                MATOP_GET_VALUES=42,
1326                MATOP_COPY=43,
1327                MATOP_GET_ROW_MAX=44,
1328                MATOP_SCALE=45,
1329                MATOP_SHIFT=46,
1330                MATOP_DIAGONAL_SET=47,
1331                MATOP_ZERO_ROWS_COLUMNS=48,
1332                MATOP_SET_RANDOM=49,
1333                MATOP_GET_ROW_IJ=50,
1334                MATOP_RESTORE_ROW_IJ=51,
1335                MATOP_GET_COLUMN_IJ=52,
1336                MATOP_RESTORE_COLUMN_IJ=53,
1337                MATOP_FDCOLORING_CREATE=54,
1338                MATOP_COLORING_PATCH=55,
1339                MATOP_SET_UNFACTORED=56,
1340                MATOP_PERMUTE=57,
1341                MATOP_SET_VALUES_BLOCKED=58,
1342                MATOP_GET_SUBMATRIX=59,
1343                MATOP_DESTROY=60,
1344                MATOP_VIEW=61,
1345                MATOP_CONVERT_FROM=62,
1346                MATOP_MATMAT_MULT=63,
1347                MATOP_MATMAT_MULT_SYMBOLIC=64,
1348                MATOP_MATMAT_MULT_NUMERIC=65,
1349                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1350                MATOP_SET_VALUES_LOCAL=67,
1351                MATOP_ZERO_ROWS_LOCAL=68,
1352                MATOP_GET_ROW_MAX_ABS=69,
1353                MATOP_GET_ROW_MIN_ABS=70,
1354                MATOP_CONVERT=71,
1355                MATOP_SET_COLORING=72,
1356                /* MATOP_PLACEHOLDER_73=73, */
1357                MATOP_SET_VALUES_ADIFOR=74,
1358                MATOP_FD_COLORING_APPLY=75,
1359                MATOP_SET_FROM_OPTIONS=76,
1360                MATOP_MULT_CONSTRAINED=77,
1361                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1362                MATOP_FIND_ZERO_DIAGONALS=79,
1363                MATOP_MULT_MULTIPLE=80,
1364                MATOP_SOLVE_MULTIPLE=81,
1365                MATOP_GET_INERTIA=82,
1366                MATOP_LOAD=83,
1367                MATOP_IS_SYMMETRIC=84,
1368                MATOP_IS_HERMITIAN=85,
1369                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1370                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1371                MATOP_GET_VECS=88,
1372                MATOP_MAT_MULT=89,
1373                MATOP_MAT_MULT_SYMBOLIC=90,
1374                MATOP_MAT_MULT_NUMERIC=91,
1375                MATOP_PTAP=92,
1376                MATOP_PTAP_SYMBOLIC=93,
1377                MATOP_PTAP_NUMERIC=94,
1378                MATOP_MAT_TRANSPOSE_MULT=95,
1379                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1380                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1381                /* MATOP_PLACEHOLDER_98=98, */
1382                /* MATOP_PLACEHOLDER_99=99, */
1383                /* MATOP_PLACEHOLDER_100=100, */
1384                /* MATOP_PLACEHOLDER_101=101, */
1385                MATOP_CONJUGATE=102,
1386                /* MATOP_PLACEHOLDER_103=103, */
1387                MATOP_SET_VALUES_ROW=104,
1388                MATOP_REAL_PART=105,
1389                MATOP_IMAGINARY_PART=106,
1390                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1391                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1392                MATOP_MAT_SOLVE=109,
1393                MATOP_GET_REDUNDANT_MATRIX=110,
1394                MATOP_GET_ROW_MIN=111,
1395                MATOP_GET_COLUMN_VECTOR=112,
1396                MATOP_MISSING_DIAGONAL=113,
1397                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1398                MATOP_CREATE=115,
1399                MATOP_GET_GHOSTS=116,
1400                MATOP_GET_LOCAL_SUB_MATRIX=117,
1401                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1402                MATOP_MULT_DIAGONAL_BLOCK=119,
1403                MATOP_HERMITIAN_TRANSPOSE=120,
1404                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1405                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1406                MATOP_GET_MULTI_PROC_BLOCK=123,
1407                MATOP_FIND_NONZERO_ROWS=124,
1408                MATOP_GET_COLUMN_NORMS=125,
1409                MATOP_INVERT_BLOCK_DIAGONAL=126,
1410                /* MATOP_PLACEHOLDER_127=127, */
1411                MATOP_GET_SUB_MATRICES_PARALLE=128,
1412                MATOP_SET_VALUES_BATCH=129,
1413                MATOP_TRANSPOSE_MAT_MULT=130,
1414                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1415                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1416                MATOP_TRANSPOSE_COLORING_CREAT=133,
1417                MATOP_TRANS_COLORING_APPLY_SPT=134,
1418                MATOP_TRANS_COLORING_APPLY_DEN=135,
1419                MATOP_RART=136,
1420                MATOP_RART_SYMBOLIC=137,
1421                MATOP_RART_NUMERIC=138,
1422                MATOP_SET_BLOCK_SIZES=139,
1423                MATOP_AYPX=140,
1424                MATOP_RESIDUAL=141,
1425                MATOP_FDCOLORING_SETUP= 142
1426              } MatOperation;
1427 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1428 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1429 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1430 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1431 
1432 /*
1433    Codes for matrices stored on disk. By default they are
1434    stored in a universal format. By changing the format with
1435    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1436    be stored in a way natural for the matrix, for example dense matrices
1437    would be stored as dense. Matrices stored this way may only be
1438    read into matrices of the same type.
1439 */
1440 #define MATRIX_BINARY_FORMAT_DENSE -1
1441 
1442 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1443 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1444 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1445 
1446 /*S
1447      MatNullSpace - Object that removes a null space from a vector, i.e.
1448          orthogonalizes the vector to a subsapce
1449 
1450    Level: advanced
1451 
1452   Concepts: matrix; linear operator, null space
1453 
1454   Users manual sections:
1455 .   sec_singular
1456 
1457 .seealso:  MatNullSpaceCreate()
1458 S*/
1459 typedef struct _p_MatNullSpace* MatNullSpace;
1460 
1461 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1462 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1465 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1466 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1467 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1468 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1469 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1470 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1471 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1472 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1473 
1474 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1475 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1476 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1477 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1478 
1479 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1480 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1481 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1482 
1483 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1484 
1485 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1486 
1487 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1492 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1494 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1496 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1497 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1498 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1499 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1500 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1501 
1502 /*S
1503     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1504               Jacobian vector products
1505 
1506     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1507 
1508            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1509 
1510     Level: developer
1511 
1512 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1513 S*/
1514 typedef struct _p_MatMFFD* MatMFFD;
1515 
1516 /*J
1517     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1518 
1519    Level: beginner
1520 
1521 .seealso: MatMFFDSetType(), MatMFFDRegister()
1522 J*/
1523 typedef const char* MatMFFDType;
1524 #define MATMFFD_DS  "ds"
1525 #define MATMFFD_WP  "wp"
1526 
1527 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1528 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1529 
1530 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1531 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1532 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1533 
1534 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1535 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1536 
1537 /*
1538    PETSc interface to MUMPS
1539 */
1540 #ifdef PETSC_HAVE_MUMPS
1541 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1542 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1543 #endif
1544 
1545 /*
1546    PETSc interface to SUPERLU
1547 */
1548 #ifdef PETSC_HAVE_SUPERLU
1549 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1550 #endif
1551 
1552 #ifdef PETSC_HAVE_CUDA
1553 /*E
1554     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1555     matrices.
1556 
1557     Not Collective
1558 
1559 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1560 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1561 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1562 
1563     Level: intermediate
1564 
1565    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1566 
1567 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1568 E*/
1569 
1570 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1571 
1572 /* these will be strings associated with enumerated type defined above */
1573 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1574 
1575 /*E
1576     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1577     matrices whose operation should use a particular storage format.
1578 
1579     Not Collective
1580 
1581 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1582 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1583 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1584 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1585 
1586     Level: intermediate
1587 
1588 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1589 E*/
1590 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1591 
1592 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1593 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1594 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1595 #endif
1596 
1597 #if defined(PETSC_HAVE_CUSP)
1598 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1599 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1600 
1601 /*E
1602     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1603     matrices.
1604 
1605     Not Collective
1606 
1607 +   MAT_CUSP_CSR - Compressed Sparse Row
1608 .   MAT_CUSP_DIA - Diagonal
1609 -   MAT_CUSP_ELL - Ellpack
1610 
1611     Level: intermediate
1612 
1613    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1614 
1615 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1616 E*/
1617 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1618 
1619 /* these will be strings associated with enumerated type defined above */
1620 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1621 
1622 /*E
1623     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1624     matrices whose operation should use a particular storage format.
1625 
1626     Not Collective
1627 
1628 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1629 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1630 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1631 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1632 
1633     Level: intermediate
1634 
1635    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1636 
1637 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1638 E*/
1639 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1640 
1641 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1642 #endif
1643 
1644 #if defined(PETSC_HAVE_VIENNACL)
1645 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1646 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1647 #endif
1648 
1649 /*
1650    PETSc interface to FFTW
1651 */
1652 #if defined(PETSC_HAVE_FFTW)
1653 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1654 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1655 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1656 #endif
1657 
1658 #if defined(PETSC_HAVE_ELEMENTAL)
1659 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1660 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1661 #endif
1662 
1663 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1664 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1665 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1666 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1667 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1668 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1669 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1670 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1671 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1672 
1673 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1674 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1675 
1676 #endif
1677