xref: /petsc/include/petscmat.h (revision 3a062f41c0bc3be19c159685adbcbfeb7e235790)
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 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
557 
558 /*MC
559    MatSetValue - Set a single entry into a matrix.
560 
561    Not collective
562 
563    Input Parameters:
564 +  m - the matrix
565 .  row - the row location of the entry
566 .  col - the column location of the entry
567 .  value - the value to insert
568 -  mode - either INSERT_VALUES or ADD_VALUES
569 
570    Notes:
571    For efficiency one should use MatSetValues() and set several or many
572    values simultaneously if possible.
573 
574    Level: beginner
575 
576 .seealso: MatSetValues(), MatSetValueLocal()
577 M*/
578 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
579 
580 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
581 
582 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
583 
584 /*MC
585    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
586        row in a matrix providing the data that one can use to correctly preallocate the matrix.
587 
588    Synopsis:
589    #include "petscmat.h"
590    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
591 
592    Collective on MPI_Comm
593 
594    Input Parameters:
595 +  comm - the communicator that will share the eventually allocated matrix
596 .  nrows - the number of LOCAL rows in the matrix
597 -  ncols - the number of LOCAL columns in the matrix
598 
599    Output Parameters:
600 +  dnz - the array that will be passed to the matrix preallocation routines
601 -  ozn - the other array passed to the matrix preallocation routines
602 
603 
604    Level: intermediate
605 
606    Notes:
607     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
608 
609    Do not malloc or free dnz and onz, that is handled internally by these routines
610 
611    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
612 
613    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
614 
615   Concepts: preallocation^Matrix
616 
617 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
618           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
619 M*/
620 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
621 { \
622   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
623   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
624   __start = 0; __end = __start;                                         \
625   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
626   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
627 
628 /*MC
629    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
630        inserted using a local number of the rows and columns
631 
632    Synopsis:
633    #include "petscmat.h"
634    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
635 
636    Not Collective
637 
638    Input Parameters:
639 +  map - the row mapping from local numbering to global numbering
640 .  nrows - the number of rows indicated
641 .  rows - the indices of the rows
642 .  cmap - the column mapping from local to global numbering
643 .  ncols - the number of columns in the matrix
644 .  cols - the columns indicated
645 .  dnz - the array that will be passed to the matrix preallocation routines
646 -  ozn - the other array passed to the matrix preallocation routines
647 
648 
649    Level: intermediate
650 
651    Notes:
652     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
653 
654    Do not malloc or free dnz and onz, that is handled internally by these routines
655 
656   Concepts: preallocation^Matrix
657 
658 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
659           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
660 M*/
661 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
662 {\
663   PetscInt __l;\
664   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
665   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
666   for (__l=0;__l<nrows;__l++) {\
667     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
668   }\
669 }
670 
671 /*MC
672    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
673        inserted using a local number of the rows and columns
674 
675    Synopsis:
676    #include "petscmat.h"
677    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
678 
679    Not Collective
680 
681    Input Parameters:
682 +  map - the mapping between local numbering and global numbering
683 .  nrows - the number of rows indicated
684 .  rows - the indices of the rows
685 .  ncols - the number of columns in the matrix
686 .  cols - the columns indicated
687 .  dnz - the array that will be passed to the matrix preallocation routines
688 -  ozn - the other array passed to the matrix preallocation routines
689 
690 
691    Level: intermediate
692 
693    Notes:
694     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
695 
696    Do not malloc or free dnz and onz that is handled internally by these routines
697 
698   Concepts: preallocation^Matrix
699 
700 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
701           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
702 M*/
703 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
704 {\
705   PetscInt __l;\
706   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
707   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
708   for (__l=0;__l<nrows;__l++) {\
709     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
710   }\
711 }
712 
713 /*MC
714    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
715        inserted using a local number of the rows and columns
716 
717    Synopsis:
718    #include "petscmat.h"
719    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
720 
721    Not Collective
722 
723    Input Parameters:
724 +  row - the row
725 .  ncols - the number of columns in the matrix
726 -  cols - the columns indicated
727 
728    Output Parameters:
729 +  dnz - the array that will be passed to the matrix preallocation routines
730 -  ozn - the other array passed to the matrix preallocation routines
731 
732 
733    Level: intermediate
734 
735    Notes:
736     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
737 
738    Do not malloc or free dnz and onz that is handled internally by these routines
739 
740    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
741 
742   Concepts: preallocation^Matrix
743 
744 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
745           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
746 M*/
747 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
748 { PetscInt __i; \
749   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);\
750   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);\
751   for (__i=0; __i<nc; __i++) {\
752     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
753     else dnz[row - __rstart]++;\
754   }\
755 }
756 
757 /*MC
758    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
759        inserted using a local number of the rows and columns
760 
761    Synopsis:
762    #include "petscmat.h"
763    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
764 
765    Not Collective
766 
767    Input Parameters:
768 +  nrows - the number of rows indicated
769 .  rows - the indices of the rows
770 .  ncols - the number of columns in the matrix
771 .  cols - the columns indicated
772 .  dnz - the array that will be passed to the matrix preallocation routines
773 -  ozn - the other array passed to the matrix preallocation routines
774 
775 
776    Level: intermediate
777 
778    Notes:
779     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
780 
781    Do not malloc or free dnz and onz that is handled internally by these routines
782 
783    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
784 
785   Concepts: preallocation^Matrix
786 
787 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
788           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
789 M*/
790 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
791 { PetscInt __i; \
792   for (__i=0; __i<nc; __i++) {\
793     if (cols[__i] >= __end) onz[row - __rstart]++; \
794     else if (cols[__i] >= row) dnz[row - __rstart]++;\
795   }\
796 }
797 
798 /*MC
799    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
800 
801    Synopsis:
802    #include "petscmat.h"
803    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
804 
805    Not Collective
806 
807    Input Parameters:
808 .  A - matrix
809 .  row - row where values exist (must be local to this process)
810 .  ncols - number of columns
811 .  cols - columns with nonzeros
812 .  dnz - the array that will be passed to the matrix preallocation routines
813 -  ozn - the other array passed to the matrix preallocation routines
814 
815 
816    Level: intermediate
817 
818    Notes:
819     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
820 
821    Do not malloc or free dnz and onz that is handled internally by these routines
822 
823    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
824 
825   Concepts: preallocation^Matrix
826 
827 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
828           MatPreallocateSymmetricSetLocal()
829 M*/
830 #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);}
831 
832 
833 /*MC
834    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
835        row in a matrix providing the data that one can use to correctly preallocate the matrix.
836 
837    Synopsis:
838    #include "petscmat.h"
839    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
840 
841    Collective on MPI_Comm
842 
843    Input Parameters:
844 +  dnz - the array that was be passed to the matrix preallocation routines
845 -  ozn - the other array passed to the matrix preallocation routines
846 
847 
848    Level: intermediate
849 
850    Notes:
851     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
852 
853    Do not malloc or free dnz and onz that is handled internally by these routines
854 
855    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
856 
857   Concepts: preallocation^Matrix
858 
859 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
860           MatPreallocateSymmetricSetLocal()
861 M*/
862 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
863 
864 
865 
866 /* Routines unique to particular data structures */
867 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
868 
869 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
870 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
871 
872 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
873 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
874 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
875 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
876 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
877 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
878 
879 #define MAT_SKIP_ALLOCATION -4
880 
881 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
884 
885 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
886 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
888 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
889 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
890 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
891 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
892 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
893 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
894 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
895 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
896 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
897 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
898 
899 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
900 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
901 
902 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
903 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
904 
905 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
906 
907 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
908 /*
909   These routines are not usually accessed directly, rather solving is
910   done through the KSP and PC interfaces.
911 */
912 
913 /*J
914     MatOrderingType - String with the name of a PETSc matrix ordering
915 
916    Level: beginner
917 
918 .seealso: MatGetOrdering()
919 J*/
920 typedef const char* MatOrderingType;
921 #define MATORDERINGNATURAL     "natural"
922 #define MATORDERINGND          "nd"
923 #define MATORDERING1WD         "1wd"
924 #define MATORDERINGRCM         "rcm"
925 #define MATORDERINGQMD         "qmd"
926 #define MATORDERINGROWLENGTH   "rowlength"
927 #define MATORDERINGWBM         "wbm"
928 #define MATORDERINGSPECTRAL    "spectral"
929 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
930 
931 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
932 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
933 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
934 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
935 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
936 PETSC_EXTERN PetscFunctionList MatOrderingList;
937 
938 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
939 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
940 
941 /*S
942     MatFactorShiftType - Numeric Shift.
943 
944    Level: beginner
945 
946 S*/
947 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
948 PETSC_EXTERN const char *const MatFactorShiftTypes[];
949 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
950 
951 /*S
952    MatFactorInfo - Data passed into the matrix factorization routines
953 
954    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
955 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
956 
957    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
958 
959       You can use MatFactorInfoInitialize() to set default values.
960 
961    Level: developer
962 
963 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
964           MatFactorInfoInitialize()
965 
966 S*/
967 typedef struct {
968   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
969   PetscReal     usedt;
970   PetscReal     dt;             /* drop tolerance */
971   PetscReal     dtcol;          /* tolerance for pivoting */
972   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
973   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
974   PetscReal     levels;         /* ICC/ILU(levels) */
975   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
976                                    factorization may be faster if do not pivot */
977   PetscReal     zeropivot;      /* pivot is called zero if less than this */
978   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
979   PetscReal     shiftamount;     /* how large the shift is */
980 } MatFactorInfo;
981 
982 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
990 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
991 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
992 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
993 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
994 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
995 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
997 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
998 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
999 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1000 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1001 
1002 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1003 
1004 /*E
1005     MatSORType - What type of (S)SOR to perform
1006 
1007     Level: beginner
1008 
1009    May be bitwise ORd together
1010 
1011    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1012 
1013    MatSORType may be bitwise ORd together, so do not change the numbers
1014 
1015 .seealso: MatSOR()
1016 E*/
1017 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1018               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1019               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1020               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1021 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1022 
1023 /*
1024     These routines are for efficiently computing Jacobians via finite differences.
1025 */
1026 
1027 /*S
1028      MatColoring - Object for managing the coloring of matrices.
1029 
1030    Level: beginner
1031 
1032   Concepts: matrix, coloring
1033 
1034 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1035 S*/
1036 typedef struct _p_MatColoring* MatColoring;
1037 /*J
1038     MatColoringType - String with the name of a PETSc matrix coloring
1039 
1040    Level: beginner
1041 
1042 .seealso: MatColoringSetType(), MatColoring
1043 J*/
1044 
1045 typedef const  char*           MatColoringType;
1046 #define MATCOLORINGJP      "jp"
1047 #define MATCOLORINGMIS     "mis"
1048 #define MATCOLORINGNATURAL "natural"
1049 #define MATCOLORINGSL      "sl"
1050 #define MATCOLORINGLF      "lf"
1051 #define MATCOLORINGID      "id"
1052 
1053 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1054 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1055 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1056 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1057 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1058 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1059 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1060 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1061 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1062 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1063 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1064 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1065 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1066 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1067 
1068 /*S
1069      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1070         and coloring
1071 
1072    Level: beginner
1073 
1074   Concepts: coloring, sparse Jacobian, finite differences
1075 
1076 .seealso:  MatFDColoringCreate()
1077 S*/
1078 typedef struct _p_MatFDColoring* MatFDColoring;
1079 
1080 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1086 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1087 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1088 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1089 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1090 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1091 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1092 
1093 
1094 /*S
1095      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1096 
1097    Level: beginner
1098 
1099   Concepts: coloring, sparse matrix product
1100 
1101 .seealso:  MatTransposeColoringCreate()
1102 S*/
1103 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1104 
1105 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1106 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1107 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1108 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1109 
1110 /*
1111     These routines are for partitioning matrices: currently used only
1112   for adjacency matrix, MatCreateMPIAdj().
1113 */
1114 
1115 /*S
1116      MatPartitioning - Object for managing the partitioning of a matrix or graph
1117 
1118    Level: beginner
1119 
1120   Concepts: partitioning
1121 
1122 .seealso:  MatPartitioningCreate(), MatPartitioningType
1123 S*/
1124 typedef struct _p_MatPartitioning* MatPartitioning;
1125 
1126 /*J
1127     MatPartitioningType - String with the name of a PETSc matrix partitioning
1128 
1129    Level: beginner
1130 dm
1131 .seealso: MatPartitioningCreate(), MatPartitioning
1132 J*/
1133 typedef const char* MatPartitioningType;
1134 #define MATPARTITIONINGCURRENT  "current"
1135 #define MATPARTITIONINGSQUARE   "square"
1136 #define MATPARTITIONINGPARMETIS "parmetis"
1137 #define MATPARTITIONINGCHACO    "chaco"
1138 #define MATPARTITIONINGPARTY    "party"
1139 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1140 
1141 
1142 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1150 
1151 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1152 
1153 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1154 
1155 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1156 
1157 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1158 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1159 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1160 
1161 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1162 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1163 
1164 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1165 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1166 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1167 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1168 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1169 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1170 
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1178 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1179 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1180 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1181 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1182 
1183 #define MP_PARTY_OPT "opt"
1184 #define MP_PARTY_LIN "lin"
1185 #define MP_PARTY_SCA "sca"
1186 #define MP_PARTY_RAN "ran"
1187 #define MP_PARTY_GBF "gbf"
1188 #define MP_PARTY_GCF "gcf"
1189 #define MP_PARTY_BUB "bub"
1190 #define MP_PARTY_DEF "def"
1191 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1192 #define MP_PARTY_HELPFUL_SETS "hs"
1193 #define MP_PARTY_KERNIGHAN_LIN "kl"
1194 #define MP_PARTY_NONE "no"
1195 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1199 
1200 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1201 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1202 
1203 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1204 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1207 
1208 /*
1209     These routines are for coarsening matrices:
1210 */
1211 
1212 /*S
1213      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1214 
1215    Level: beginner
1216 
1217   Concepts: coarsen
1218 
1219 .seealso:  MatCoarsenCreate), MatCoarsenType
1220 S*/
1221 typedef struct _p_MatCoarsen* MatCoarsen;
1222 
1223 /*J
1224     MatCoarsenType - String with the name of a PETSc matrix coarsen
1225 
1226    Level: beginner
1227 
1228 .seealso: MatCoarsenCreate(), MatCoarsen
1229 J*/
1230 typedef const char* MatCoarsenType;
1231 #define MATCOARSENMIS  "mis"
1232 #define MATCOARSENHEM  "hem"
1233 
1234 /* linked list for aggregates */
1235 typedef struct _PetscCDIntNd{
1236   struct _PetscCDIntNd *next;
1237   PetscInt             gid;
1238 }PetscCDIntNd;
1239 
1240 /* only used by node pool */
1241 typedef struct _PetscCDArrNd{
1242   struct _PetscCDArrNd *next;
1243   struct _PetscCDIntNd *array;
1244 }PetscCDArrNd;
1245 
1246 typedef struct _PetscCoarsenData{
1247   PetscCDArrNd pool_list;  /* node pool */
1248   PetscCDIntNd *new_node;
1249   PetscInt     new_left;
1250   PetscInt     chk_sz;
1251   PetscCDIntNd *extra_nodes;
1252   PetscCDIntNd **array;  /* Array of lists */
1253   PetscInt     size;
1254   Mat          mat;  /* cache a Mat for communication data */
1255 }PetscCoarsenData;
1256 
1257 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1258 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1260 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1261 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1262 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1263 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1264 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1265 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1266 
1267 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1268 
1269 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1270 
1271 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1272 
1273 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1274 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1275 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1276 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1277 
1278 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1279 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1280 
1281 /*
1282     If you add entries here you must also add them to finclude/petscmat.h
1283 */
1284 typedef enum { MATOP_SET_VALUES=0,
1285                MATOP_GET_ROW=1,
1286                MATOP_RESTORE_ROW=2,
1287                MATOP_MULT=3,
1288                MATOP_MULT_ADD=4,
1289                MATOP_MULT_TRANSPOSE=5,
1290                MATOP_MULT_TRANSPOSE_ADD=6,
1291                MATOP_SOLVE=7,
1292                MATOP_SOLVE_ADD=8,
1293                MATOP_SOLVE_TRANSPOSE=9,
1294                MATOP_SOLVE_TRANSPOSE_ADD=10,
1295                MATOP_LUFACTOR=11,
1296                MATOP_CHOLESKYFACTOR=12,
1297                MATOP_SOR=13,
1298                MATOP_TRANSPOSE=14,
1299                MATOP_GETINFO=15,
1300                MATOP_EQUAL=16,
1301                MATOP_GET_DIAGONAL=17,
1302                MATOP_DIAGONAL_SCALE=18,
1303                MATOP_NORM=19,
1304                MATOP_ASSEMBLY_BEGIN=20,
1305                MATOP_ASSEMBLY_END=21,
1306                MATOP_SET_OPTION=22,
1307                MATOP_ZERO_ENTRIES=23,
1308                MATOP_ZERO_ROWS=24,
1309                MATOP_LUFACTOR_SYMBOLIC=25,
1310                MATOP_LUFACTOR_NUMERIC=26,
1311                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1312                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1313                MATOP_SETUP_PREALLOCATION=29,
1314                MATOP_ILUFACTOR_SYMBOLIC=30,
1315                MATOP_ICCFACTOR_SYMBOLIC=31,
1316                /* MATOP_PLACEHOLDER_32=32, */
1317                /* MATOP_PLACEHOLDER_33=33, */
1318                MATOP_DUPLICATE=34,
1319                MATOP_FORWARD_SOLVE=35,
1320                MATOP_BACKWARD_SOLVE=36,
1321                MATOP_ILUFACTOR=37,
1322                MATOP_ICCFACTOR=38,
1323                MATOP_AXPY=39,
1324                MATOP_GET_SUBMATRICES=40,
1325                MATOP_INCREASE_OVERLAP=41,
1326                MATOP_GET_VALUES=42,
1327                MATOP_COPY=43,
1328                MATOP_GET_ROW_MAX=44,
1329                MATOP_SCALE=45,
1330                MATOP_SHIFT=46,
1331                MATOP_DIAGONAL_SET=47,
1332                MATOP_ZERO_ROWS_COLUMNS=48,
1333                MATOP_SET_RANDOM=49,
1334                MATOP_GET_ROW_IJ=50,
1335                MATOP_RESTORE_ROW_IJ=51,
1336                MATOP_GET_COLUMN_IJ=52,
1337                MATOP_RESTORE_COLUMN_IJ=53,
1338                MATOP_FDCOLORING_CREATE=54,
1339                MATOP_COLORING_PATCH=55,
1340                MATOP_SET_UNFACTORED=56,
1341                MATOP_PERMUTE=57,
1342                MATOP_SET_VALUES_BLOCKED=58,
1343                MATOP_GET_SUBMATRIX=59,
1344                MATOP_DESTROY=60,
1345                MATOP_VIEW=61,
1346                MATOP_CONVERT_FROM=62,
1347                MATOP_MATMAT_MULT=63,
1348                MATOP_MATMAT_MULT_SYMBOLIC=64,
1349                MATOP_MATMAT_MULT_NUMERIC=65,
1350                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1351                MATOP_SET_VALUES_LOCAL=67,
1352                MATOP_ZERO_ROWS_LOCAL=68,
1353                MATOP_GET_ROW_MAX_ABS=69,
1354                MATOP_GET_ROW_MIN_ABS=70,
1355                MATOP_CONVERT=71,
1356                MATOP_SET_COLORING=72,
1357                /* MATOP_PLACEHOLDER_73=73, */
1358                MATOP_SET_VALUES_ADIFOR=74,
1359                MATOP_FD_COLORING_APPLY=75,
1360                MATOP_SET_FROM_OPTIONS=76,
1361                MATOP_MULT_CONSTRAINED=77,
1362                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1363                MATOP_FIND_ZERO_DIAGONALS=79,
1364                MATOP_MULT_MULTIPLE=80,
1365                MATOP_SOLVE_MULTIPLE=81,
1366                MATOP_GET_INERTIA=82,
1367                MATOP_LOAD=83,
1368                MATOP_IS_SYMMETRIC=84,
1369                MATOP_IS_HERMITIAN=85,
1370                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1371                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1372                MATOP_GET_VECS=88,
1373                MATOP_MAT_MULT=89,
1374                MATOP_MAT_MULT_SYMBOLIC=90,
1375                MATOP_MAT_MULT_NUMERIC=91,
1376                MATOP_PTAP=92,
1377                MATOP_PTAP_SYMBOLIC=93,
1378                MATOP_PTAP_NUMERIC=94,
1379                MATOP_MAT_TRANSPOSE_MULT=95,
1380                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1381                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1382                /* MATOP_PLACEHOLDER_98=98, */
1383                /* MATOP_PLACEHOLDER_99=99, */
1384                /* MATOP_PLACEHOLDER_100=100, */
1385                /* MATOP_PLACEHOLDER_101=101, */
1386                MATOP_CONJUGATE=102,
1387                /* MATOP_PLACEHOLDER_103=103, */
1388                MATOP_SET_VALUES_ROW=104,
1389                MATOP_REAL_PART=105,
1390                MATOP_IMAGINARY_PART=106,
1391                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1392                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1393                MATOP_MAT_SOLVE=109,
1394                MATOP_GET_REDUNDANT_MATRIX=110,
1395                MATOP_GET_ROW_MIN=111,
1396                MATOP_GET_COLUMN_VECTOR=112,
1397                MATOP_MISSING_DIAGONAL=113,
1398                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1399                MATOP_CREATE=115,
1400                MATOP_GET_GHOSTS=116,
1401                MATOP_GET_LOCAL_SUB_MATRIX=117,
1402                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1403                MATOP_MULT_DIAGONAL_BLOCK=119,
1404                MATOP_HERMITIAN_TRANSPOSE=120,
1405                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1406                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1407                MATOP_GET_MULTI_PROC_BLOCK=123,
1408                MATOP_FIND_NONZERO_ROWS=124,
1409                MATOP_GET_COLUMN_NORMS=125,
1410                MATOP_INVERT_BLOCK_DIAGONAL=126,
1411                /* MATOP_PLACEHOLDER_127=127, */
1412                MATOP_GET_SUB_MATRICES_PARALLE=128,
1413                MATOP_SET_VALUES_BATCH=129,
1414                MATOP_TRANSPOSE_MAT_MULT=130,
1415                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1416                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1417                MATOP_TRANSPOSE_COLORING_CREAT=133,
1418                MATOP_TRANS_COLORING_APPLY_SPT=134,
1419                MATOP_TRANS_COLORING_APPLY_DEN=135,
1420                MATOP_RART=136,
1421                MATOP_RART_SYMBOLIC=137,
1422                MATOP_RART_NUMERIC=138,
1423                MATOP_SET_BLOCK_SIZES=139,
1424                MATOP_AYPX=140,
1425                MATOP_RESIDUAL=141,
1426                MATOP_FDCOLORING_SETUP= 142
1427              } MatOperation;
1428 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1429 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1430 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1431 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1432 
1433 /*
1434    Codes for matrices stored on disk. By default they are
1435    stored in a universal format. By changing the format with
1436    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1437    be stored in a way natural for the matrix, for example dense matrices
1438    would be stored as dense. Matrices stored this way may only be
1439    read into matrices of the same type.
1440 */
1441 #define MATRIX_BINARY_FORMAT_DENSE -1
1442 
1443 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1444 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1445 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1446 
1447 /*S
1448      MatNullSpace - Object that removes a null space from a vector, i.e.
1449          orthogonalizes the vector to a subsapce
1450 
1451    Level: advanced
1452 
1453   Concepts: matrix; linear operator, null space
1454 
1455   Users manual sections:
1456 .   sec_singular
1457 
1458 .seealso:  MatNullSpaceCreate()
1459 S*/
1460 typedef struct _p_MatNullSpace* MatNullSpace;
1461 
1462 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1465 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1466 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1467 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1468 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1469 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1470 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1471 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1472 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1473 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1474 
1475 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1476 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1477 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1478 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1479 
1480 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1481 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1482 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1483 
1484 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1485 
1486 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1487 
1488 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1493 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1494 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1495 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1496 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1497 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1498 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1499 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1500 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1501 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1502 
1503 /*S
1504     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1505               Jacobian vector products
1506 
1507     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1508 
1509            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1510 
1511     Level: developer
1512 
1513 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1514 S*/
1515 typedef struct _p_MatMFFD* MatMFFD;
1516 
1517 /*J
1518     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1519 
1520    Level: beginner
1521 
1522 .seealso: MatMFFDSetType(), MatMFFDRegister()
1523 J*/
1524 typedef const char* MatMFFDType;
1525 #define MATMFFD_DS  "ds"
1526 #define MATMFFD_WP  "wp"
1527 
1528 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1529 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1530 
1531 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1532 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1533 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1534 
1535 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1536 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1537 
1538 /*
1539    PETSc interface to MUMPS
1540 */
1541 #ifdef PETSC_HAVE_MUMPS
1542 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1543 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1544 #endif
1545 
1546 /*
1547    PETSc interface to SUPERLU
1548 */
1549 #ifdef PETSC_HAVE_SUPERLU
1550 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1551 #endif
1552 
1553 #ifdef PETSC_HAVE_CUDA
1554 /*E
1555     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1556     matrices.
1557 
1558     Not Collective
1559 
1560 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1561 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1562 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1563 
1564     Level: intermediate
1565 
1566    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1567 
1568 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1569 E*/
1570 
1571 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1572 
1573 /* these will be strings associated with enumerated type defined above */
1574 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1575 
1576 /*E
1577     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1578     matrices whose operation should use a particular storage format.
1579 
1580     Not Collective
1581 
1582 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1583 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1584 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1585 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1586 
1587     Level: intermediate
1588 
1589 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1590 E*/
1591 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1592 
1593 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1594 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1595 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1596 #endif
1597 
1598 #if defined(PETSC_HAVE_CUSP)
1599 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1600 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1601 
1602 /*E
1603     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1604     matrices.
1605 
1606     Not Collective
1607 
1608 +   MAT_CUSP_CSR - Compressed Sparse Row
1609 .   MAT_CUSP_DIA - Diagonal
1610 -   MAT_CUSP_ELL - Ellpack
1611 
1612     Level: intermediate
1613 
1614    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1615 
1616 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1617 E*/
1618 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1619 
1620 /* these will be strings associated with enumerated type defined above */
1621 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1622 
1623 /*E
1624     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1625     matrices whose operation should use a particular storage format.
1626 
1627     Not Collective
1628 
1629 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1630 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1631 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1632 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1633 
1634     Level: intermediate
1635 
1636    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1637 
1638 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1639 E*/
1640 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1641 
1642 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1643 #endif
1644 
1645 #if defined(PETSC_HAVE_VIENNACL)
1646 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1647 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1648 #endif
1649 
1650 /*
1651    PETSc interface to FFTW
1652 */
1653 #if defined(PETSC_HAVE_FFTW)
1654 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1655 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1656 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1657 #endif
1658 
1659 #if defined(PETSC_HAVE_ELEMENTAL)
1660 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1661 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1662 #endif
1663 
1664 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1665 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1666 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1667 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1668 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1669 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1670 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1671 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1672 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1673 
1674 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1675 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1676 
1677 #endif
1678