xref: /petsc/include/petscmat.h (revision 169f6850ef94cafd5e9227ac1972b77d01bf00ae)
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 MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
360 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
361 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
362 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
363 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
364 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
365 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
367 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
368 
369 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
370 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
375 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
376 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
377 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
381 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
382 
383 /*E
384     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
385   its numerical values copied over or just its nonzero structure.
386 
387     Level: beginner
388 
389    Any additions/changes here MUST also be made in include/finclude/petscmat.h
390 
391 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
392 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
393 $                               have several matrices with the same nonzero pattern.
394 
395 .seealso: MatDuplicate()
396 E*/
397 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
398 
399 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
400 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
401 
402 
403 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
404 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
405 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
406 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
407 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
411 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
412 
413 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
414 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
415 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
416 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
417 
418 /*S
419      MatInfo - Context of matrix information, used with MatGetInfo()
420 
421    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
422 
423    Level: intermediate
424 
425   Concepts: matrix^nonzero information
426 
427 .seealso:  MatGetInfo(), MatInfoType
428 S*/
429 typedef struct {
430   PetscLogDouble block_size;                         /* block size */
431   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
432   PetscLogDouble memory;                             /* memory allocated */
433   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
434   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
435   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
436   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
437 } MatInfo;
438 
439 /*E
440     MatInfoType - Indicates if you want information about the local part of the matrix,
441      the entire parallel matrix or the maximum over all the local parts.
442 
443     Level: beginner
444 
445    Any additions/changes here MUST also be made in include/finclude/petscmat.h
446 
447 .seealso: MatGetInfo(), MatInfo
448 E*/
449 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
450 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
451 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
452 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
453 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
454 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
455 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
456 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
457 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
458 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
459 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
460 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
461 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
462 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
463 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
464 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
465 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
466 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
467 
468 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
469 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
470 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
471 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
472 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
473 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
475 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
476 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
477 
478 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
479 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
481 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
482 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
483 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
484 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
485 
486 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
487 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
488 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
489 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
491 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
492 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
493 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
494 
495 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
497 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
498 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
499 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
500 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
501 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
503 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
505 
506 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
507 
508 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
509 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
511 
512 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
525 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
526 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
529 
530 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
531 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
532 
533 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
534 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
535 
536 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
537 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
538 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
539 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
540 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
541 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
542 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
545 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
546 
547 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
548 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
549 
550 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
554 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
555 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
556 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
557 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
558 
559 /*MC
560    MatSetValue - Set a single entry into a matrix.
561 
562    Not collective
563 
564    Input Parameters:
565 +  m - the matrix
566 .  row - the row location of the entry
567 .  col - the column location of the entry
568 .  value - the value to insert
569 -  mode - either INSERT_VALUES or ADD_VALUES
570 
571    Notes:
572    For efficiency one should use MatSetValues() and set several or many
573    values simultaneously if possible.
574 
575    Level: beginner
576 
577 .seealso: MatSetValues(), MatSetValueLocal()
578 M*/
579 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
580 
581 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
582 
583 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
584 
585 /*MC
586    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
587        row in a matrix providing the data that one can use to correctly preallocate the matrix.
588 
589    Synopsis:
590    #include "petscmat.h"
591    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
592 
593    Collective on MPI_Comm
594 
595    Input Parameters:
596 +  comm - the communicator that will share the eventually allocated matrix
597 .  nrows - the number of LOCAL rows in the matrix
598 -  ncols - the number of LOCAL columns in the matrix
599 
600    Output Parameters:
601 +  dnz - the array that will be passed to the matrix preallocation routines
602 -  ozn - the other array passed to the matrix preallocation routines
603 
604 
605    Level: intermediate
606 
607    Notes:
608     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
609 
610    Do not malloc or free dnz and onz, that is handled internally by these routines
611 
612    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
613 
614    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
615 
616   Concepts: preallocation^Matrix
617 
618 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
619           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
620 M*/
621 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
622 { \
623   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
624   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
625   __start = 0; __end = __start;                                         \
626   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
627   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
628 
629 /*MC
630    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
631        inserted using a local number of the rows and columns
632 
633    Synopsis:
634    #include "petscmat.h"
635    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
636 
637    Not Collective
638 
639    Input Parameters:
640 +  map - the row mapping from local numbering to global numbering
641 .  nrows - the number of rows indicated
642 .  rows - the indices of the rows
643 .  cmap - the column mapping from local to global numbering
644 .  ncols - the number of columns in the matrix
645 .  cols - the columns indicated
646 .  dnz - the array that will be passed to the matrix preallocation routines
647 -  ozn - the other array passed to the matrix preallocation routines
648 
649 
650    Level: intermediate
651 
652    Notes:
653     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
654 
655    Do not malloc or free dnz and onz, that is handled internally by these routines
656 
657   Concepts: preallocation^Matrix
658 
659 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
660           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
661 M*/
662 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
663 {\
664   PetscInt __l;\
665   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
666   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
667   for (__l=0;__l<nrows;__l++) {\
668     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
669   }\
670 }
671 
672 /*MC
673    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
674        inserted using a local number of the rows and columns
675 
676    Synopsis:
677    #include "petscmat.h"
678    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
679 
680    Not Collective
681 
682    Input Parameters:
683 +  map - the mapping between local numbering and global numbering
684 .  nrows - the number of rows indicated
685 .  rows - the indices of the rows
686 .  ncols - the number of columns in the matrix
687 .  cols - the columns indicated
688 .  dnz - the array that will be passed to the matrix preallocation routines
689 -  ozn - the other array passed to the matrix preallocation routines
690 
691 
692    Level: intermediate
693 
694    Notes:
695     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
696 
697    Do not malloc or free dnz and onz that is handled internally by these routines
698 
699   Concepts: preallocation^Matrix
700 
701 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
702           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
703 M*/
704 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
705 {\
706   PetscInt __l;\
707   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
708   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
709   for (__l=0;__l<nrows;__l++) {\
710     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
711   }\
712 }
713 
714 /*MC
715    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
716        inserted using a local number of the rows and columns
717 
718    Synopsis:
719    #include "petscmat.h"
720    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
721 
722    Not Collective
723 
724    Input Parameters:
725 +  row - the row
726 .  ncols - the number of columns in the matrix
727 -  cols - the columns indicated
728 
729    Output Parameters:
730 +  dnz - the array that will be passed to the matrix preallocation routines
731 -  ozn - the other array passed to the matrix preallocation routines
732 
733 
734    Level: intermediate
735 
736    Notes:
737     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
738 
739    Do not malloc or free dnz and onz that is handled internally by these routines
740 
741    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
742 
743   Concepts: preallocation^Matrix
744 
745 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
746           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
747 M*/
748 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
749 { PetscInt __i; \
750   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);\
751   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);\
752   for (__i=0; __i<nc; __i++) {\
753     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
754     else dnz[row - __rstart]++;\
755   }\
756 }
757 
758 /*MC
759    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
760        inserted using a local number of the rows and columns
761 
762    Synopsis:
763    #include "petscmat.h"
764    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
765 
766    Not Collective
767 
768    Input Parameters:
769 +  nrows - the number of rows indicated
770 .  rows - the indices of the rows
771 .  ncols - the number of columns in the matrix
772 .  cols - the columns indicated
773 .  dnz - the array that will be passed to the matrix preallocation routines
774 -  ozn - the other array passed to the matrix preallocation routines
775 
776 
777    Level: intermediate
778 
779    Notes:
780     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
781 
782    Do not malloc or free dnz and onz that is handled internally by these routines
783 
784    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
785 
786   Concepts: preallocation^Matrix
787 
788 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
789           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
790 M*/
791 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
792 { PetscInt __i; \
793   for (__i=0; __i<nc; __i++) {\
794     if (cols[__i] >= __end) onz[row - __rstart]++; \
795     else if (cols[__i] >= row) dnz[row - __rstart]++;\
796   }\
797 }
798 
799 /*MC
800    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
801 
802    Synopsis:
803    #include "petscmat.h"
804    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
805 
806    Not Collective
807 
808    Input Parameters:
809 .  A - matrix
810 .  row - row where values exist (must be local to this process)
811 .  ncols - number of columns
812 .  cols - columns with nonzeros
813 .  dnz - the array that will be passed to the matrix preallocation routines
814 -  ozn - the other array passed to the matrix preallocation routines
815 
816 
817    Level: intermediate
818 
819    Notes:
820     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
821 
822    Do not malloc or free dnz and onz that is handled internally by these routines
823 
824    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
825 
826   Concepts: preallocation^Matrix
827 
828 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
829           MatPreallocateSymmetricSetLocal()
830 M*/
831 #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);}
832 
833 
834 /*MC
835    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
836        row in a matrix providing the data that one can use to correctly preallocate the matrix.
837 
838    Synopsis:
839    #include "petscmat.h"
840    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
841 
842    Collective on MPI_Comm
843 
844    Input Parameters:
845 +  dnz - the array that was be passed to the matrix preallocation routines
846 -  ozn - the other array passed to the matrix preallocation routines
847 
848 
849    Level: intermediate
850 
851    Notes:
852     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
853 
854    Do not malloc or free dnz and onz that is handled internally by these routines
855 
856    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
857 
858   Concepts: preallocation^Matrix
859 
860 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
861           MatPreallocateSymmetricSetLocal()
862 M*/
863 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
864 
865 
866 
867 /* Routines unique to particular data structures */
868 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
869 
870 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
871 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
872 
873 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
874 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
875 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
876 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
877 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
878 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
879 
880 #define MAT_SKIP_ALLOCATION -4
881 
882 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
883 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
884 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
885 
886 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
887 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
888 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
889 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
890 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
891 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
892 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
893 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
894 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
895 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
896 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
897 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
898 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
899 
900 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
901 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
902 
903 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
904 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
905 
906 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
907 
908 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
909 /*
910   These routines are not usually accessed directly, rather solving is
911   done through the KSP and PC interfaces.
912 */
913 
914 /*J
915     MatOrderingType - String with the name of a PETSc matrix ordering
916 
917    Level: beginner
918 
919 .seealso: MatGetOrdering()
920 J*/
921 typedef const char* MatOrderingType;
922 #define MATORDERINGNATURAL     "natural"
923 #define MATORDERINGND          "nd"
924 #define MATORDERING1WD         "1wd"
925 #define MATORDERINGRCM         "rcm"
926 #define MATORDERINGQMD         "qmd"
927 #define MATORDERINGROWLENGTH   "rowlength"
928 #define MATORDERINGWBM         "wbm"
929 #define MATORDERINGSPECTRAL    "spectral"
930 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
931 
932 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
933 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
934 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
935 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
936 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
937 PETSC_EXTERN PetscFunctionList MatOrderingList;
938 
939 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
940 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
941 
942 /*S
943     MatFactorShiftType - Numeric Shift.
944 
945    Level: beginner
946 
947 S*/
948 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
949 PETSC_EXTERN const char *const MatFactorShiftTypes[];
950 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
951 
952 /*S
953    MatFactorInfo - Data passed into the matrix factorization routines
954 
955    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
956 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
957 
958    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
959 
960       You can use MatFactorInfoInitialize() to set default values.
961 
962    Level: developer
963 
964 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
965           MatFactorInfoInitialize()
966 
967 S*/
968 typedef struct {
969   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
970   PetscReal     usedt;
971   PetscReal     dt;             /* drop tolerance */
972   PetscReal     dtcol;          /* tolerance for pivoting */
973   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
974   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
975   PetscReal     levels;         /* ICC/ILU(levels) */
976   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
977                                    factorization may be faster if do not pivot */
978   PetscReal     zeropivot;      /* pivot is called zero if less than this */
979   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
980   PetscReal     shiftamount;     /* how large the shift is */
981 } MatFactorInfo;
982 
983 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
986 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
987 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
988 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
989 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
990 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
991 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
992 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
993 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
994 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
995 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
996 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
997 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
998 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
999 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1000 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1001 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1002 
1003 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1004 
1005 /*E
1006     MatSORType - What type of (S)SOR to perform
1007 
1008     Level: beginner
1009 
1010    May be bitwise ORd together
1011 
1012    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1013 
1014    MatSORType may be bitwise ORd together, so do not change the numbers
1015 
1016 .seealso: MatSOR()
1017 E*/
1018 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1019               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1020               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1021               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1022 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1023 
1024 /*
1025     These routines are for efficiently computing Jacobians via finite differences.
1026 */
1027 
1028 /*S
1029      MatColoring - Object for managing the coloring of matrices.
1030 
1031    Level: beginner
1032 
1033   Concepts: matrix, coloring
1034 
1035 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1036 S*/
1037 typedef struct _p_MatColoring* MatColoring;
1038 /*J
1039     MatColoringType - String with the name of a PETSc matrix coloring
1040 
1041    Level: beginner
1042 
1043 .seealso: MatColoringSetType(), MatColoring
1044 J*/
1045 
1046 typedef const  char*           MatColoringType;
1047 #define MATCOLORINGJP      "jp"
1048 #define MATCOLORINGMIS     "mis"
1049 #define MATCOLORINGNATURAL "natural"
1050 #define MATCOLORINGSL      "sl"
1051 #define MATCOLORINGLF      "lf"
1052 #define MATCOLORINGID      "id"
1053 
1054 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1055 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1056 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1057 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1058 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1059 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1060 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1061 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1062 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1063 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1064 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1065 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1066 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1067 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1068 
1069 /*S
1070      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1071         and coloring
1072 
1073    Level: beginner
1074 
1075   Concepts: coloring, sparse Jacobian, finite differences
1076 
1077 .seealso:  MatFDColoringCreate()
1078 S*/
1079 typedef struct _p_MatFDColoring* MatFDColoring;
1080 
1081 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1084 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1085 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1086 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1087 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1088 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1089 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1090 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1091 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1092 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1093 
1094 
1095 /*S
1096      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1097 
1098    Level: beginner
1099 
1100   Concepts: coloring, sparse matrix product
1101 
1102 .seealso:  MatTransposeColoringCreate()
1103 S*/
1104 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1105 
1106 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1107 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1108 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1109 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1110 
1111 /*
1112     These routines are for partitioning matrices: currently used only
1113   for adjacency matrix, MatCreateMPIAdj().
1114 */
1115 
1116 /*S
1117      MatPartitioning - Object for managing the partitioning of a matrix or graph
1118 
1119    Level: beginner
1120 
1121   Concepts: partitioning
1122 
1123 .seealso:  MatPartitioningCreate(), MatPartitioningType
1124 S*/
1125 typedef struct _p_MatPartitioning* MatPartitioning;
1126 
1127 /*J
1128     MatPartitioningType - String with the name of a PETSc matrix partitioning
1129 
1130    Level: beginner
1131 dm
1132 .seealso: MatPartitioningCreate(), MatPartitioning
1133 J*/
1134 typedef const char* MatPartitioningType;
1135 #define MATPARTITIONINGCURRENT  "current"
1136 #define MATPARTITIONINGSQUARE   "square"
1137 #define MATPARTITIONINGPARMETIS "parmetis"
1138 #define MATPARTITIONINGCHACO    "chaco"
1139 #define MATPARTITIONINGPARTY    "party"
1140 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1141 
1142 
1143 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1149 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1151 
1152 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1153 
1154 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1155 
1156 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1157 
1158 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1159 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1160 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1161 
1162 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1163 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1164 
1165 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1166 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1167 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1168 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1169 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1170 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1171 
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1174 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1175 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1176 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1177 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1178 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1179 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1180 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1181 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1182 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1183 
1184 #define MP_PARTY_OPT "opt"
1185 #define MP_PARTY_LIN "lin"
1186 #define MP_PARTY_SCA "sca"
1187 #define MP_PARTY_RAN "ran"
1188 #define MP_PARTY_GBF "gbf"
1189 #define MP_PARTY_GCF "gcf"
1190 #define MP_PARTY_BUB "bub"
1191 #define MP_PARTY_DEF "def"
1192 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1193 #define MP_PARTY_HELPFUL_SETS "hs"
1194 #define MP_PARTY_KERNIGHAN_LIN "kl"
1195 #define MP_PARTY_NONE "no"
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1199 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1200 
1201 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1202 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1203 
1204 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1205 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1206 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1207 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1208 
1209 /*
1210     These routines are for coarsening matrices:
1211 */
1212 
1213 /*S
1214      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1215 
1216    Level: beginner
1217 
1218   Concepts: coarsen
1219 
1220 .seealso:  MatCoarsenCreate), MatCoarsenType
1221 S*/
1222 typedef struct _p_MatCoarsen* MatCoarsen;
1223 
1224 /*J
1225     MatCoarsenType - String with the name of a PETSc matrix coarsen
1226 
1227    Level: beginner
1228 
1229 .seealso: MatCoarsenCreate(), MatCoarsen
1230 J*/
1231 typedef const char* MatCoarsenType;
1232 #define MATCOARSENMIS  "mis"
1233 #define MATCOARSENHEM  "hem"
1234 
1235 /* linked list for aggregates */
1236 typedef struct _PetscCDIntNd{
1237   struct _PetscCDIntNd *next;
1238   PetscInt             gid;
1239 }PetscCDIntNd;
1240 
1241 /* only used by node pool */
1242 typedef struct _PetscCDArrNd{
1243   struct _PetscCDArrNd *next;
1244   struct _PetscCDIntNd *array;
1245 }PetscCDArrNd;
1246 
1247 typedef struct _PetscCoarsenData{
1248   PetscCDArrNd pool_list;  /* node pool */
1249   PetscCDIntNd *new_node;
1250   PetscInt     new_left;
1251   PetscInt     chk_sz;
1252   PetscCDIntNd *extra_nodes;
1253   PetscCDIntNd **array;  /* Array of lists */
1254   PetscInt     size;
1255   Mat          mat;  /* cache a Mat for communication data */
1256 }PetscCoarsenData;
1257 
1258 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1259 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1260 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1261 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1262 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1263 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1264 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1265 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1266 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1267 
1268 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1269 
1270 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1271 
1272 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1273 
1274 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1275 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1276 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1277 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1278 
1279 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1280 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1281 
1282 /*
1283     If you add entries here you must also add them to finclude/petscmat.h
1284 */
1285 typedef enum { MATOP_SET_VALUES=0,
1286                MATOP_GET_ROW=1,
1287                MATOP_RESTORE_ROW=2,
1288                MATOP_MULT=3,
1289                MATOP_MULT_ADD=4,
1290                MATOP_MULT_TRANSPOSE=5,
1291                MATOP_MULT_TRANSPOSE_ADD=6,
1292                MATOP_SOLVE=7,
1293                MATOP_SOLVE_ADD=8,
1294                MATOP_SOLVE_TRANSPOSE=9,
1295                MATOP_SOLVE_TRANSPOSE_ADD=10,
1296                MATOP_LUFACTOR=11,
1297                MATOP_CHOLESKYFACTOR=12,
1298                MATOP_SOR=13,
1299                MATOP_TRANSPOSE=14,
1300                MATOP_GETINFO=15,
1301                MATOP_EQUAL=16,
1302                MATOP_GET_DIAGONAL=17,
1303                MATOP_DIAGONAL_SCALE=18,
1304                MATOP_NORM=19,
1305                MATOP_ASSEMBLY_BEGIN=20,
1306                MATOP_ASSEMBLY_END=21,
1307                MATOP_SET_OPTION=22,
1308                MATOP_ZERO_ENTRIES=23,
1309                MATOP_ZERO_ROWS=24,
1310                MATOP_LUFACTOR_SYMBOLIC=25,
1311                MATOP_LUFACTOR_NUMERIC=26,
1312                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1313                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1314                MATOP_SETUP_PREALLOCATION=29,
1315                MATOP_ILUFACTOR_SYMBOLIC=30,
1316                MATOP_ICCFACTOR_SYMBOLIC=31,
1317                /* MATOP_PLACEHOLDER_32=32, */
1318                /* MATOP_PLACEHOLDER_33=33, */
1319                MATOP_DUPLICATE=34,
1320                MATOP_FORWARD_SOLVE=35,
1321                MATOP_BACKWARD_SOLVE=36,
1322                MATOP_ILUFACTOR=37,
1323                MATOP_ICCFACTOR=38,
1324                MATOP_AXPY=39,
1325                MATOP_GET_SUBMATRICES=40,
1326                MATOP_INCREASE_OVERLAP=41,
1327                MATOP_GET_VALUES=42,
1328                MATOP_COPY=43,
1329                MATOP_GET_ROW_MAX=44,
1330                MATOP_SCALE=45,
1331                MATOP_SHIFT=46,
1332                MATOP_DIAGONAL_SET=47,
1333                MATOP_ZERO_ROWS_COLUMNS=48,
1334                MATOP_SET_RANDOM=49,
1335                MATOP_GET_ROW_IJ=50,
1336                MATOP_RESTORE_ROW_IJ=51,
1337                MATOP_GET_COLUMN_IJ=52,
1338                MATOP_RESTORE_COLUMN_IJ=53,
1339                MATOP_FDCOLORING_CREATE=54,
1340                MATOP_COLORING_PATCH=55,
1341                MATOP_SET_UNFACTORED=56,
1342                MATOP_PERMUTE=57,
1343                MATOP_SET_VALUES_BLOCKED=58,
1344                MATOP_GET_SUBMATRIX=59,
1345                MATOP_DESTROY=60,
1346                MATOP_VIEW=61,
1347                MATOP_CONVERT_FROM=62,
1348                MATOP_MATMAT_MULT=63,
1349                MATOP_MATMAT_MULT_SYMBOLIC=64,
1350                MATOP_MATMAT_MULT_NUMERIC=65,
1351                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1352                MATOP_SET_VALUES_LOCAL=67,
1353                MATOP_ZERO_ROWS_LOCAL=68,
1354                MATOP_GET_ROW_MAX_ABS=69,
1355                MATOP_GET_ROW_MIN_ABS=70,
1356                MATOP_CONVERT=71,
1357                MATOP_SET_COLORING=72,
1358                /* MATOP_PLACEHOLDER_73=73, */
1359                MATOP_SET_VALUES_ADIFOR=74,
1360                MATOP_FD_COLORING_APPLY=75,
1361                MATOP_SET_FROM_OPTIONS=76,
1362                MATOP_MULT_CONSTRAINED=77,
1363                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1364                MATOP_FIND_ZERO_DIAGONALS=79,
1365                MATOP_MULT_MULTIPLE=80,
1366                MATOP_SOLVE_MULTIPLE=81,
1367                MATOP_GET_INERTIA=82,
1368                MATOP_LOAD=83,
1369                MATOP_IS_SYMMETRIC=84,
1370                MATOP_IS_HERMITIAN=85,
1371                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1372                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1373                MATOP_GET_VECS=88,
1374                MATOP_MAT_MULT=89,
1375                MATOP_MAT_MULT_SYMBOLIC=90,
1376                MATOP_MAT_MULT_NUMERIC=91,
1377                MATOP_PTAP=92,
1378                MATOP_PTAP_SYMBOLIC=93,
1379                MATOP_PTAP_NUMERIC=94,
1380                MATOP_MAT_TRANSPOSE_MULT=95,
1381                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1382                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1383                /* MATOP_PLACEHOLDER_98=98, */
1384                /* MATOP_PLACEHOLDER_99=99, */
1385                /* MATOP_PLACEHOLDER_100=100, */
1386                /* MATOP_PLACEHOLDER_101=101, */
1387                MATOP_CONJUGATE=102,
1388                /* MATOP_PLACEHOLDER_103=103, */
1389                MATOP_SET_VALUES_ROW=104,
1390                MATOP_REAL_PART=105,
1391                MATOP_IMAGINARY_PART=106,
1392                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1393                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1394                MATOP_MAT_SOLVE=109,
1395                MATOP_GET_REDUNDANT_MATRIX=110,
1396                MATOP_GET_ROW_MIN=111,
1397                MATOP_GET_COLUMN_VECTOR=112,
1398                MATOP_MISSING_DIAGONAL=113,
1399                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1400                MATOP_CREATE=115,
1401                MATOP_GET_GHOSTS=116,
1402                MATOP_GET_LOCAL_SUB_MATRIX=117,
1403                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1404                MATOP_MULT_DIAGONAL_BLOCK=119,
1405                MATOP_HERMITIAN_TRANSPOSE=120,
1406                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1407                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1408                MATOP_GET_MULTI_PROC_BLOCK=123,
1409                MATOP_FIND_NONZERO_ROWS=124,
1410                MATOP_GET_COLUMN_NORMS=125,
1411                MATOP_INVERT_BLOCK_DIAGONAL=126,
1412                /* MATOP_PLACEHOLDER_127=127, */
1413                MATOP_GET_SUB_MATRICES_PARALLE=128,
1414                MATOP_SET_VALUES_BATCH=129,
1415                MATOP_TRANSPOSE_MAT_MULT=130,
1416                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1417                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1418                MATOP_TRANSPOSE_COLORING_CREAT=133,
1419                MATOP_TRANS_COLORING_APPLY_SPT=134,
1420                MATOP_TRANS_COLORING_APPLY_DEN=135,
1421                MATOP_RART=136,
1422                MATOP_RART_SYMBOLIC=137,
1423                MATOP_RART_NUMERIC=138,
1424                MATOP_SET_BLOCK_SIZES=139,
1425                MATOP_AYPX=140,
1426                MATOP_RESIDUAL=141,
1427                MATOP_FDCOLORING_SETUP= 142
1428              } MatOperation;
1429 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1430 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1431 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1432 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1433 
1434 /*
1435    Codes for matrices stored on disk. By default they are
1436    stored in a universal format. By changing the format with
1437    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1438    be stored in a way natural for the matrix, for example dense matrices
1439    would be stored as dense. Matrices stored this way may only be
1440    read into matrices of the same type.
1441 */
1442 #define MATRIX_BINARY_FORMAT_DENSE -1
1443 
1444 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1445 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1446 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1447 
1448 /*S
1449      MatNullSpace - Object that removes a null space from a vector, i.e.
1450          orthogonalizes the vector to a subsapce
1451 
1452    Level: advanced
1453 
1454   Concepts: matrix; linear operator, null space
1455 
1456   Users manual sections:
1457 .   sec_singular
1458 
1459 .seealso:  MatNullSpaceCreate()
1460 S*/
1461 typedef struct _p_MatNullSpace* MatNullSpace;
1462 
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1465 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1466 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1467 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1468 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1469 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1470 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1471 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1472 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1473 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1474 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1475 
1476 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1477 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1478 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1479 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1480 
1481 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1482 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1483 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1484 
1485 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1486 
1487 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1488 
1489 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1490 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1492 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1494 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1495 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1496 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1497 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1498 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1499 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1500 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1501 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1502 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1503 
1504 /*S
1505     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1506               Jacobian vector products
1507 
1508     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1509 
1510            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1511 
1512     Level: developer
1513 
1514 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1515 S*/
1516 typedef struct _p_MatMFFD* MatMFFD;
1517 
1518 /*J
1519     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1520 
1521    Level: beginner
1522 
1523 .seealso: MatMFFDSetType(), MatMFFDRegister()
1524 J*/
1525 typedef const char* MatMFFDType;
1526 #define MATMFFD_DS  "ds"
1527 #define MATMFFD_WP  "wp"
1528 
1529 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1530 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1531 
1532 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1533 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1534 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1535 
1536 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1537 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1538 
1539 /*
1540    PETSc interface to MUMPS
1541 */
1542 #ifdef PETSC_HAVE_MUMPS
1543 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1544 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1545 #endif
1546 
1547 /*
1548    PETSc interface to SUPERLU
1549 */
1550 #ifdef PETSC_HAVE_SUPERLU
1551 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1552 #endif
1553 
1554 #ifdef PETSC_HAVE_CUDA
1555 /*E
1556     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1557     matrices.
1558 
1559     Not Collective
1560 
1561 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1562 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1563 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1564 
1565     Level: intermediate
1566 
1567    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1568 
1569 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1570 E*/
1571 
1572 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1573 
1574 /* these will be strings associated with enumerated type defined above */
1575 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1576 
1577 /*E
1578     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1579     matrices whose operation should use a particular storage format.
1580 
1581     Not Collective
1582 
1583 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1584 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1585 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1586 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1587 
1588     Level: intermediate
1589 
1590 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1591 E*/
1592 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1593 
1594 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1595 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1596 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1597 #endif
1598 
1599 #if defined(PETSC_HAVE_CUSP)
1600 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1601 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1602 
1603 /*E
1604     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1605     matrices.
1606 
1607     Not Collective
1608 
1609 +   MAT_CUSP_CSR - Compressed Sparse Row
1610 .   MAT_CUSP_DIA - Diagonal
1611 -   MAT_CUSP_ELL - Ellpack
1612 
1613     Level: intermediate
1614 
1615    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1616 
1617 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1618 E*/
1619 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1620 
1621 /* these will be strings associated with enumerated type defined above */
1622 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1623 
1624 /*E
1625     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1626     matrices whose operation should use a particular storage format.
1627 
1628     Not Collective
1629 
1630 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1631 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1632 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1633 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1634 
1635     Level: intermediate
1636 
1637    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1638 
1639 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1640 E*/
1641 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1642 
1643 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1644 #endif
1645 
1646 #if defined(PETSC_HAVE_VIENNACL)
1647 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1648 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1649 #endif
1650 
1651 /*
1652    PETSc interface to FFTW
1653 */
1654 #if defined(PETSC_HAVE_FFTW)
1655 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1656 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1657 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1658 #endif
1659 
1660 #if defined(PETSC_HAVE_ELEMENTAL)
1661 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1662 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1663 #endif
1664 
1665 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1666 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1667 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1668 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1669 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1670 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1671 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1672 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1673 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1674 
1675 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1676 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1677 
1678 #endif
1679