xref: /petsc/include/petscmat.h (revision 1957e957c9edf41e4162784af8cf55e6b64ba41e)
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    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 = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
622   __start = 0; __end = __start;                                         \
623   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
624   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
625 
626 /*MC
627    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
628        inserted using a local number of the rows and columns
629 
630    Synopsis:
631    #include <petscmat.h>
632    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
633 
634    Not Collective
635 
636    Input Parameters:
637 +  map - the row mapping from local numbering to global numbering
638 .  nrows - the number of rows indicated
639 .  rows - the indices of the rows
640 .  cmap - the column mapping from local to global numbering
641 .  ncols - the number of columns in the matrix
642 .  cols - the columns indicated
643 .  dnz - the array that will be passed to the matrix preallocation routines
644 -  ozn - the other array passed to the matrix preallocation routines
645 
646    Level: intermediate
647 
648    Notes:
649     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
650 
651    Do not malloc or free dnz and onz, that is handled internally by these routines
652 
653   Concepts: preallocation^Matrix
654 
655 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
656           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
657 M*/
658 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
659 {\
660   PetscInt __l;\
661   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
662   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
663   for (__l=0;__l<nrows;__l++) {\
664     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
665   }\
666 }
667 
668 /*MC
669    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
670        inserted using a local number of the rows and columns
671 
672    Synopsis:
673    #include <petscmat.h>
674    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
675 
676    Not Collective
677 
678    Input Parameters:
679 +  map - the mapping between local numbering and global numbering
680 .  nrows - the number of rows indicated
681 .  rows - the indices of the rows
682 .  ncols - the number of columns in the matrix
683 .  cols - the columns indicated
684 .  dnz - the array that will be passed to the matrix preallocation routines
685 -  ozn - the other array passed to the matrix preallocation routines
686 
687    Level: intermediate
688 
689    Notes:
690     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
691 
692    Do not malloc or free dnz and onz that is handled internally by these routines
693 
694   Concepts: preallocation^Matrix
695 
696 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
697           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
698 M*/
699 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
700 {\
701   PetscInt __l;\
702   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
703   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
704   for (__l=0;__l<nrows;__l++) {\
705     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
706   }\
707 }
708 
709 /*MC
710    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
711        inserted using a local number of the rows and columns
712 
713    Synopsis:
714    #include <petscmat.h>
715    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
716 
717    Not Collective
718 
719    Input Parameters:
720 +  row - the row
721 .  ncols - the number of columns in the matrix
722 -  cols - the columns indicated
723 
724    Output Parameters:
725 +  dnz - the array that will be passed to the matrix preallocation routines
726 -  ozn - the other array passed to the matrix preallocation routines
727 
728    Level: intermediate
729 
730    Notes:
731     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
732 
733    Do not malloc or free dnz and onz that is handled internally by these routines
734 
735    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
736 
737   Concepts: preallocation^Matrix
738 
739 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
740           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
741 M*/
742 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
743 { PetscInt __i; \
744   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);\
745   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);\
746   for (__i=0; __i<nc; __i++) {\
747     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
748     else dnz[row - __rstart]++;\
749   }\
750 }
751 
752 /*MC
753    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
754        inserted using a local number of the rows and columns
755 
756    Synopsis:
757    #include <petscmat.h>
758    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
759 
760    Not Collective
761 
762    Input Parameters:
763 +  nrows - the number of rows indicated
764 .  rows - the indices of the rows
765 .  ncols - the number of columns in the matrix
766 .  cols - the columns indicated
767 .  dnz - the array that will be passed to the matrix preallocation routines
768 -  ozn - the other array passed to the matrix preallocation routines
769 
770    Level: intermediate
771 
772    Notes:
773     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
774 
775    Do not malloc or free dnz and onz that is handled internally by these routines
776 
777    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
778 
779   Concepts: preallocation^Matrix
780 
781 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
782           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
783 M*/
784 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
785 { PetscInt __i; \
786   for (__i=0; __i<nc; __i++) {\
787     if (cols[__i] >= __end) onz[row - __rstart]++; \
788     else if (cols[__i] >= row) dnz[row - __rstart]++;\
789   }\
790 }
791 
792 /*MC
793    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
794 
795    Synopsis:
796    #include <petscmat.h>
797    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
798 
799    Not Collective
800 
801    Input Parameters:
802 .  A - matrix
803 .  row - row where values exist (must be local to this process)
804 .  ncols - number of columns
805 .  cols - columns with nonzeros
806 .  dnz - the array that will be passed to the matrix preallocation routines
807 -  ozn - the other array passed to the matrix preallocation routines
808 
809    Level: intermediate
810 
811    Notes:
812     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
813 
814    Do not malloc or free dnz and onz that is handled internally by these routines
815 
816    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
817 
818   Concepts: preallocation^Matrix
819 
820 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
821           MatPreallocateSymmetricSetLocal()
822 M*/
823 #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);}
824 
825 
826 /*MC
827    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
828        row in a matrix providing the data that one can use to correctly preallocate the matrix.
829 
830    Synopsis:
831    #include <petscmat.h>
832    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
833 
834    Collective on MPI_Comm
835 
836    Input Parameters:
837 +  dnz - the array that was be passed to the matrix preallocation routines
838 -  ozn - the other array passed to the matrix preallocation routines
839 
840    Level: intermediate
841 
842    Notes:
843     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
844 
845    Do not malloc or free dnz and onz that is handled internally by these routines
846 
847    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
848 
849   Concepts: preallocation^Matrix
850 
851 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
852           MatPreallocateSymmetricSetLocal()
853 M*/
854 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
855 
856 /* Routines unique to particular data structures */
857 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
858 
859 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
860 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
861 
862 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
863 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
864 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
865 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
866 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
867 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
868 
869 #define MAT_SKIP_ALLOCATION -4
870 
871 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
872 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
873 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
874 
875 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
876 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
877 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
878 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
879 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
880 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
881 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
882 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
884 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
886 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
888 
889 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
890 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
891 
892 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
893 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
894 
895 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
896 
897 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
898 /*
899   These routines are not usually accessed directly, rather solving is
900   done through the KSP and PC interfaces.
901 */
902 
903 /*J
904     MatOrderingType - String with the name of a PETSc matrix ordering
905 
906    Level: beginner
907 
908 .seealso: MatGetOrdering()
909 J*/
910 typedef const char* MatOrderingType;
911 #define MATORDERINGNATURAL     "natural"
912 #define MATORDERINGND          "nd"
913 #define MATORDERING1WD         "1wd"
914 #define MATORDERINGRCM         "rcm"
915 #define MATORDERINGQMD         "qmd"
916 #define MATORDERINGROWLENGTH   "rowlength"
917 #define MATORDERINGWBM         "wbm"
918 #define MATORDERINGSPECTRAL    "spectral"
919 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
920 
921 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
922 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
923 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
924 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
925 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
926 PETSC_EXTERN PetscFunctionList MatOrderingList;
927 
928 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
929 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
930 
931 /*S
932     MatFactorShiftType - Numeric Shift.
933 
934    Level: beginner
935 
936 S*/
937 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
938 PETSC_EXTERN const char *const MatFactorShiftTypes[];
939 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
940 
941 /*S
942    MatFactorInfo - Data passed into the matrix factorization routines
943 
944    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
945 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
946 
947    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
948 
949       You can use MatFactorInfoInitialize() to set default values.
950 
951    Level: developer
952 
953 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
954           MatFactorInfoInitialize()
955 
956 S*/
957 typedef struct {
958   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
959   PetscReal     usedt;
960   PetscReal     dt;             /* drop tolerance */
961   PetscReal     dtcol;          /* tolerance for pivoting */
962   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
963   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
964   PetscReal     levels;         /* ICC/ILU(levels) */
965   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
966                                    factorization may be faster if do not pivot */
967   PetscReal     zeropivot;      /* pivot is called zero if less than this */
968   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
969   PetscReal     shiftamount;     /* how large the shift is */
970 } MatFactorInfo;
971 
972 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
973 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
974 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
975 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
976 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
984 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
985 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
986 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
987 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
988 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
991 
992 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
993 
994 /*E
995     MatSORType - What type of (S)SOR to perform
996 
997     Level: beginner
998 
999    May be bitwise ORd together
1000 
1001    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1002 
1003    MatSORType may be bitwise ORd together, so do not change the numbers
1004 
1005 .seealso: MatSOR()
1006 E*/
1007 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1008               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1009               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1010               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1011 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1012 
1013 /*
1014     These routines are for efficiently computing Jacobians via finite differences.
1015 */
1016 
1017 /*S
1018      MatColoring - Object for managing the coloring of matrices.
1019 
1020    Level: beginner
1021 
1022   Concepts: matrix, coloring
1023 
1024 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1025 S*/
1026 typedef struct _p_MatColoring* MatColoring;
1027 /*J
1028     MatColoringType - String with the name of a PETSc matrix coloring
1029 
1030    Level: beginner
1031 
1032 .seealso: MatColoringSetType(), MatColoring
1033 J*/
1034 
1035 typedef const  char*           MatColoringType;
1036 #define MATCOLORINGJP      "jp"
1037 #define MATCOLORINGMIS     "mis"
1038 #define MATCOLORINGNATURAL "natural"
1039 #define MATCOLORINGSL      "sl"
1040 #define MATCOLORINGLF      "lf"
1041 #define MATCOLORINGID      "id"
1042 
1043 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1044 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1045 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1046 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1047 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1048 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1049 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1050 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1051 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1052 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1053 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1054 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1055 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1056 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1057 
1058 /*S
1059      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1060         and coloring
1061 
1062    Level: beginner
1063 
1064   Concepts: coloring, sparse Jacobian, finite differences
1065 
1066 .seealso:  MatFDColoringCreate()
1067 S*/
1068 typedef struct _p_MatFDColoring* MatFDColoring;
1069 
1070 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1071 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1072 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1073 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1074 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1075 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1076 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1082 
1083 
1084 /*S
1085      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1086 
1087    Level: beginner
1088 
1089   Concepts: coloring, sparse matrix product
1090 
1091 .seealso:  MatTransposeColoringCreate()
1092 S*/
1093 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1094 
1095 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1096 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1097 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1098 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1099 
1100 /*
1101     These routines are for partitioning matrices: currently used only
1102   for adjacency matrix, MatCreateMPIAdj().
1103 */
1104 
1105 /*S
1106      MatPartitioning - Object for managing the partitioning of a matrix or graph
1107 
1108    Level: beginner
1109 
1110   Concepts: partitioning
1111 
1112 .seealso:  MatPartitioningCreate(), MatPartitioningType
1113 S*/
1114 typedef struct _p_MatPartitioning* MatPartitioning;
1115 
1116 /*J
1117     MatPartitioningType - String with the name of a PETSc matrix partitioning
1118 
1119    Level: beginner
1120 dm
1121 .seealso: MatPartitioningCreate(), MatPartitioning
1122 J*/
1123 typedef const char* MatPartitioningType;
1124 #define MATPARTITIONINGCURRENT  "current"
1125 #define MATPARTITIONINGSQUARE   "square"
1126 #define MATPARTITIONINGPARMETIS "parmetis"
1127 #define MATPARTITIONINGCHACO    "chaco"
1128 #define MATPARTITIONINGPARTY    "party"
1129 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1130 
1131 
1132 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1133 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1134 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1135 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1136 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1137 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1140 
1141 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1142 
1143 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1144 
1145 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1146 
1147 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1150 
1151 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1152 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1153 
1154 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1155 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1156 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1157 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1158 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1159 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1160 
1161 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1162 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1163 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1164 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1165 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1172 
1173 #define MP_PARTY_OPT "opt"
1174 #define MP_PARTY_LIN "lin"
1175 #define MP_PARTY_SCA "sca"
1176 #define MP_PARTY_RAN "ran"
1177 #define MP_PARTY_GBF "gbf"
1178 #define MP_PARTY_GCF "gcf"
1179 #define MP_PARTY_BUB "bub"
1180 #define MP_PARTY_DEF "def"
1181 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1182 #define MP_PARTY_HELPFUL_SETS "hs"
1183 #define MP_PARTY_KERNIGHAN_LIN "kl"
1184 #define MP_PARTY_NONE "no"
1185 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1186 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1187 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1188 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1189 
1190 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1191 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1192 
1193 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1194 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1195 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1197 
1198 /*
1199     These routines are for coarsening matrices:
1200 */
1201 
1202 /*S
1203      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1204 
1205    Level: beginner
1206 
1207   Concepts: coarsen
1208 
1209 .seealso:  MatCoarsenCreate), MatCoarsenType
1210 S*/
1211 typedef struct _p_MatCoarsen* MatCoarsen;
1212 
1213 /*J
1214     MatCoarsenType - String with the name of a PETSc matrix coarsen
1215 
1216    Level: beginner
1217 
1218 .seealso: MatCoarsenCreate(), MatCoarsen
1219 J*/
1220 typedef const char* MatCoarsenType;
1221 #define MATCOARSENMIS  "mis"
1222 #define MATCOARSENHEM  "hem"
1223 
1224 /* linked list for aggregates */
1225 typedef struct _PetscCDIntNd{
1226   struct _PetscCDIntNd *next;
1227   PetscInt             gid;
1228 }PetscCDIntNd;
1229 
1230 /* only used by node pool */
1231 typedef struct _PetscCDArrNd{
1232   struct _PetscCDArrNd *next;
1233   struct _PetscCDIntNd *array;
1234 }PetscCDArrNd;
1235 
1236 typedef struct _PetscCoarsenData{
1237   PetscCDArrNd pool_list;  /* node pool */
1238   PetscCDIntNd *new_node;
1239   PetscInt     new_left;
1240   PetscInt     chk_sz;
1241   PetscCDIntNd *extra_nodes;
1242   PetscCDIntNd **array;  /* Array of lists */
1243   PetscInt     size;
1244   Mat          mat;  /* cache a Mat for communication data */
1245 }PetscCoarsenData;
1246 
1247 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1248 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1249 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1250 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1251 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1252 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1254 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1256 
1257 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1258 
1259 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1260 
1261 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1262 
1263 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1264 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1265 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1266 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1267 
1268 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1269 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1270 
1271 /*
1272     If you add entries here you must also add them to finclude/petscmat.h
1273 */
1274 typedef enum { MATOP_SET_VALUES=0,
1275                MATOP_GET_ROW=1,
1276                MATOP_RESTORE_ROW=2,
1277                MATOP_MULT=3,
1278                MATOP_MULT_ADD=4,
1279                MATOP_MULT_TRANSPOSE=5,
1280                MATOP_MULT_TRANSPOSE_ADD=6,
1281                MATOP_SOLVE=7,
1282                MATOP_SOLVE_ADD=8,
1283                MATOP_SOLVE_TRANSPOSE=9,
1284                MATOP_SOLVE_TRANSPOSE_ADD=10,
1285                MATOP_LUFACTOR=11,
1286                MATOP_CHOLESKYFACTOR=12,
1287                MATOP_SOR=13,
1288                MATOP_TRANSPOSE=14,
1289                MATOP_GETINFO=15,
1290                MATOP_EQUAL=16,
1291                MATOP_GET_DIAGONAL=17,
1292                MATOP_DIAGONAL_SCALE=18,
1293                MATOP_NORM=19,
1294                MATOP_ASSEMBLY_BEGIN=20,
1295                MATOP_ASSEMBLY_END=21,
1296                MATOP_SET_OPTION=22,
1297                MATOP_ZERO_ENTRIES=23,
1298                MATOP_ZERO_ROWS=24,
1299                MATOP_LUFACTOR_SYMBOLIC=25,
1300                MATOP_LUFACTOR_NUMERIC=26,
1301                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1302                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1303                MATOP_SETUP_PREALLOCATION=29,
1304                MATOP_ILUFACTOR_SYMBOLIC=30,
1305                MATOP_ICCFACTOR_SYMBOLIC=31,
1306                /* MATOP_PLACEHOLDER_32=32, */
1307                /* MATOP_PLACEHOLDER_33=33, */
1308                MATOP_DUPLICATE=34,
1309                MATOP_FORWARD_SOLVE=35,
1310                MATOP_BACKWARD_SOLVE=36,
1311                MATOP_ILUFACTOR=37,
1312                MATOP_ICCFACTOR=38,
1313                MATOP_AXPY=39,
1314                MATOP_GET_SUBMATRICES=40,
1315                MATOP_INCREASE_OVERLAP=41,
1316                MATOP_GET_VALUES=42,
1317                MATOP_COPY=43,
1318                MATOP_GET_ROW_MAX=44,
1319                MATOP_SCALE=45,
1320                MATOP_SHIFT=46,
1321                MATOP_DIAGONAL_SET=47,
1322                MATOP_ZERO_ROWS_COLUMNS=48,
1323                MATOP_SET_RANDOM=49,
1324                MATOP_GET_ROW_IJ=50,
1325                MATOP_RESTORE_ROW_IJ=51,
1326                MATOP_GET_COLUMN_IJ=52,
1327                MATOP_RESTORE_COLUMN_IJ=53,
1328                MATOP_FDCOLORING_CREATE=54,
1329                MATOP_COLORING_PATCH=55,
1330                MATOP_SET_UNFACTORED=56,
1331                MATOP_PERMUTE=57,
1332                MATOP_SET_VALUES_BLOCKED=58,
1333                MATOP_GET_SUBMATRIX=59,
1334                MATOP_DESTROY=60,
1335                MATOP_VIEW=61,
1336                MATOP_CONVERT_FROM=62,
1337                MATOP_MATMAT_MULT=63,
1338                MATOP_MATMAT_MULT_SYMBOLIC=64,
1339                MATOP_MATMAT_MULT_NUMERIC=65,
1340                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1341                MATOP_SET_VALUES_LOCAL=67,
1342                MATOP_ZERO_ROWS_LOCAL=68,
1343                MATOP_GET_ROW_MAX_ABS=69,
1344                MATOP_GET_ROW_MIN_ABS=70,
1345                MATOP_CONVERT=71,
1346                MATOP_SET_COLORING=72,
1347                /* MATOP_PLACEHOLDER_73=73, */
1348                MATOP_SET_VALUES_ADIFOR=74,
1349                MATOP_FD_COLORING_APPLY=75,
1350                MATOP_SET_FROM_OPTIONS=76,
1351                MATOP_MULT_CONSTRAINED=77,
1352                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1353                MATOP_FIND_ZERO_DIAGONALS=79,
1354                MATOP_MULT_MULTIPLE=80,
1355                MATOP_SOLVE_MULTIPLE=81,
1356                MATOP_GET_INERTIA=82,
1357                MATOP_LOAD=83,
1358                MATOP_IS_SYMMETRIC=84,
1359                MATOP_IS_HERMITIAN=85,
1360                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1361                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1362                MATOP_GET_VECS=88,
1363                MATOP_MAT_MULT=89,
1364                MATOP_MAT_MULT_SYMBOLIC=90,
1365                MATOP_MAT_MULT_NUMERIC=91,
1366                MATOP_PTAP=92,
1367                MATOP_PTAP_SYMBOLIC=93,
1368                MATOP_PTAP_NUMERIC=94,
1369                MATOP_MAT_TRANSPOSE_MULT=95,
1370                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1371                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1372                /* MATOP_PLACEHOLDER_98=98, */
1373                /* MATOP_PLACEHOLDER_99=99, */
1374                /* MATOP_PLACEHOLDER_100=100, */
1375                /* MATOP_PLACEHOLDER_101=101, */
1376                MATOP_CONJUGATE=102,
1377                /* MATOP_PLACEHOLDER_103=103, */
1378                MATOP_SET_VALUES_ROW=104,
1379                MATOP_REAL_PART=105,
1380                MATOP_IMAGINARY_PART=106,
1381                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1382                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1383                MATOP_MAT_SOLVE=109,
1384                MATOP_GET_REDUNDANT_MATRIX=110,
1385                MATOP_GET_ROW_MIN=111,
1386                MATOP_GET_COLUMN_VECTOR=112,
1387                MATOP_MISSING_DIAGONAL=113,
1388                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1389                MATOP_CREATE=115,
1390                MATOP_GET_GHOSTS=116,
1391                MATOP_GET_LOCAL_SUB_MATRIX=117,
1392                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1393                MATOP_MULT_DIAGONAL_BLOCK=119,
1394                MATOP_HERMITIAN_TRANSPOSE=120,
1395                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1396                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1397                MATOP_GET_MULTI_PROC_BLOCK=123,
1398                MATOP_FIND_NONZERO_ROWS=124,
1399                MATOP_GET_COLUMN_NORMS=125,
1400                MATOP_INVERT_BLOCK_DIAGONAL=126,
1401                /* MATOP_PLACEHOLDER_127=127, */
1402                MATOP_GET_SUB_MATRICES_PARALLE=128,
1403                MATOP_SET_VALUES_BATCH=129,
1404                MATOP_TRANSPOSE_MAT_MULT=130,
1405                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1406                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1407                MATOP_TRANSPOSE_COLORING_CREAT=133,
1408                MATOP_TRANS_COLORING_APPLY_SPT=134,
1409                MATOP_TRANS_COLORING_APPLY_DEN=135,
1410                MATOP_RART=136,
1411                MATOP_RART_SYMBOLIC=137,
1412                MATOP_RART_NUMERIC=138,
1413                MATOP_SET_BLOCK_SIZES=139,
1414                MATOP_AYPX=140,
1415                MATOP_RESIDUAL=141,
1416                MATOP_FDCOLORING_SETUP= 142
1417              } MatOperation;
1418 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1419 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1420 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1421 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1422 
1423 /*
1424    Codes for matrices stored on disk. By default they are
1425    stored in a universal format. By changing the format with
1426    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1427    be stored in a way natural for the matrix, for example dense matrices
1428    would be stored as dense. Matrices stored this way may only be
1429    read into matrices of the same type.
1430 */
1431 #define MATRIX_BINARY_FORMAT_DENSE -1
1432 
1433 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1434 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1435 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1436 
1437 /*S
1438      MatNullSpace - Object that removes a null space from a vector, i.e.
1439          orthogonalizes the vector to a subsapce
1440 
1441    Level: advanced
1442 
1443   Concepts: matrix; linear operator, null space
1444 
1445   Users manual sections:
1446 .   sec_singular
1447 
1448 .seealso:  MatNullSpaceCreate()
1449 S*/
1450 typedef struct _p_MatNullSpace* MatNullSpace;
1451 
1452 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1453 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1454 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1455 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1456 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1457 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1458 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1459 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1460 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1461 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1462 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1464 
1465 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1466 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1467 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1468 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1469 
1470 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1471 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1472 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1473 
1474 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1475 
1476 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1477 
1478 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1479 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1480 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1481 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1482 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1483 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1484 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1485 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1486 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1487 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1488 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1490 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1492 
1493 /*S
1494     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1495               Jacobian vector products
1496 
1497     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1498 
1499            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1500 
1501     Level: developer
1502 
1503 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1504 S*/
1505 typedef struct _p_MatMFFD* MatMFFD;
1506 
1507 /*J
1508     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1509 
1510    Level: beginner
1511 
1512 .seealso: MatMFFDSetType(), MatMFFDRegister()
1513 J*/
1514 typedef const char* MatMFFDType;
1515 #define MATMFFD_DS  "ds"
1516 #define MATMFFD_WP  "wp"
1517 
1518 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1519 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1520 
1521 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1522 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1523 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1524 
1525 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1526 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1527 
1528 /*
1529    PETSc interface to MUMPS
1530 */
1531 #ifdef PETSC_HAVE_MUMPS
1532 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1533 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1534 #endif
1535 
1536 /*
1537    PETSc interface to SUPERLU
1538 */
1539 #ifdef PETSC_HAVE_SUPERLU
1540 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1541 #endif
1542 
1543 #ifdef PETSC_HAVE_CUDA
1544 /*E
1545     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1546     matrices.
1547 
1548     Not Collective
1549 
1550 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1551 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1552 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1553 
1554     Level: intermediate
1555 
1556    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1557 
1558 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1559 E*/
1560 
1561 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1562 
1563 /* these will be strings associated with enumerated type defined above */
1564 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1565 
1566 /*E
1567     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1568     matrices whose operation should use a particular storage format.
1569 
1570     Not Collective
1571 
1572 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1573 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1574 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1575 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1576 
1577     Level: intermediate
1578 
1579 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1580 E*/
1581 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1582 
1583 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1584 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1585 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1586 #endif
1587 
1588 #if defined(PETSC_HAVE_CUSP)
1589 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1590 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1591 
1592 /*E
1593     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1594     matrices.
1595 
1596     Not Collective
1597 
1598 +   MAT_CUSP_CSR - Compressed Sparse Row
1599 .   MAT_CUSP_DIA - Diagonal
1600 -   MAT_CUSP_ELL - Ellpack
1601 
1602     Level: intermediate
1603 
1604    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1605 
1606 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1607 E*/
1608 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1609 
1610 /* these will be strings associated with enumerated type defined above */
1611 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1612 
1613 /*E
1614     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1615     matrices whose operation should use a particular storage format.
1616 
1617     Not Collective
1618 
1619 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1620 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1621 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1622 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1623 
1624     Level: intermediate
1625 
1626    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1627 
1628 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1629 E*/
1630 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1631 
1632 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1633 #endif
1634 
1635 #if defined(PETSC_HAVE_VIENNACL)
1636 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1637 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1638 #endif
1639 
1640 /*
1641    PETSc interface to FFTW
1642 */
1643 #if defined(PETSC_HAVE_FFTW)
1644 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1645 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1646 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1647 #endif
1648 
1649 #if defined(PETSC_HAVE_ELEMENTAL)
1650 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1651 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1652 #endif
1653 
1654 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1655 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1656 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1657 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1658 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1659 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1660 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1661 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1662 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1663 
1664 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1666 
1667 #endif
1668