xref: /petsc/include/petscmat.h (revision b28073d3b1e033da78b92bf8215c324cf8d5e643)
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    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    Level: intermediate
649 
650    Notes:
651     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
652 
653    Do not malloc or free dnz and onz, that is handled internally by these routines
654 
655   Concepts: preallocation^Matrix
656 
657 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
658           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
659 M*/
660 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
661 {\
662   PetscInt __l;\
663   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
664   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
665   for (__l=0;__l<nrows;__l++) {\
666     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
667   }\
668 }
669 
670 /*MC
671    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
672        inserted using a local number of the rows and columns
673 
674    Synopsis:
675    #include <petscmat.h>
676    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
677 
678    Not Collective
679 
680    Input Parameters:
681 +  map - the mapping between local numbering and global numbering
682 .  nrows - the number of rows indicated
683 .  rows - the indices of the rows
684 .  ncols - the number of columns in the matrix
685 .  cols - the columns indicated
686 .  dnz - the array that will be passed to the matrix preallocation routines
687 -  ozn - the other array passed to the matrix preallocation routines
688 
689    Level: intermediate
690 
691    Notes:
692     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
693 
694    Do not malloc or free dnz and onz that is handled internally by these routines
695 
696   Concepts: preallocation^Matrix
697 
698 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
699           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
700 M*/
701 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
702 {\
703   PetscInt __l;\
704   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
705   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
706   for (__l=0;__l<nrows;__l++) {\
707     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
708   }\
709 }
710 
711 /*MC
712    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
713        inserted using a local number of the rows and columns
714 
715    Synopsis:
716    #include <petscmat.h>
717    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
718 
719    Not Collective
720 
721    Input Parameters:
722 +  row - the row
723 .  ncols - the number of columns in the matrix
724 -  cols - the columns indicated
725 
726    Output Parameters:
727 +  dnz - the array that will be passed to the matrix preallocation routines
728 -  ozn - the other array passed to the matrix preallocation routines
729 
730    Level: intermediate
731 
732    Notes:
733     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
734 
735    Do not malloc or free dnz and onz that is handled internally by these routines
736 
737    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
738 
739   Concepts: preallocation^Matrix
740 
741 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
742           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
743 M*/
744 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
745 { PetscInt __i; \
746   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);\
747   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);\
748   for (__i=0; __i<nc; __i++) {\
749     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
750     else dnz[row - __rstart]++;\
751   }\
752 }
753 
754 /*MC
755    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
756        inserted using a local number of the rows and columns
757 
758    Synopsis:
759    #include <petscmat.h>
760    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
761 
762    Not Collective
763 
764    Input Parameters:
765 +  nrows - the number of rows indicated
766 .  rows - the indices of the rows
767 .  ncols - the number of columns in the matrix
768 .  cols - the columns indicated
769 .  dnz - the array that will be passed to the matrix preallocation routines
770 -  ozn - the other array passed to the matrix preallocation routines
771 
772    Level: intermediate
773 
774    Notes:
775     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
776 
777    Do not malloc or free dnz and onz that is handled internally by these routines
778 
779    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
780 
781   Concepts: preallocation^Matrix
782 
783 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
784           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
785 M*/
786 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
787 { PetscInt __i; \
788   for (__i=0; __i<nc; __i++) {\
789     if (cols[__i] >= __end) onz[row - __rstart]++; \
790     else if (cols[__i] >= row) dnz[row - __rstart]++;\
791   }\
792 }
793 
794 /*MC
795    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
796 
797    Synopsis:
798    #include <petscmat.h>
799    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
800 
801    Not Collective
802 
803    Input Parameters:
804 .  A - matrix
805 .  row - row where values exist (must be local to this process)
806 .  ncols - number of columns
807 .  cols - columns with nonzeros
808 .  dnz - the array that will be passed to the matrix preallocation routines
809 -  ozn - the other array passed to the matrix preallocation routines
810 
811    Level: intermediate
812 
813    Notes:
814     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
815 
816    Do not malloc or free dnz and onz that is handled internally by these routines
817 
818    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
819 
820   Concepts: preallocation^Matrix
821 
822 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
823           MatPreallocateSymmetricSetLocal()
824 M*/
825 #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);}
826 
827 
828 /*MC
829    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
830        row in a matrix providing the data that one can use to correctly preallocate the matrix.
831 
832    Synopsis:
833    #include <petscmat.h>
834    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
835 
836    Collective on MPI_Comm
837 
838    Input Parameters:
839 +  dnz - the array that was be passed to the matrix preallocation routines
840 -  ozn - the other array passed to the matrix preallocation routines
841 
842    Level: intermediate
843 
844    Notes:
845     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
846 
847    Do not malloc or free dnz and onz that is handled internally by these routines
848 
849    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
850 
851   Concepts: preallocation^Matrix
852 
853 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
854           MatPreallocateSymmetricSetLocal()
855 M*/
856 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
857 
858 /* Routines unique to particular data structures */
859 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
860 
861 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
862 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
863 
864 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
865 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
866 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
867 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
868 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
870 
871 #define MAT_SKIP_ALLOCATION -4
872 
873 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
874 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
875 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
876 
877 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
878 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
879 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
881 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
882 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
883 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
884 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
885 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
887 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
888 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
889 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
890 
891 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
892 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
893 
894 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
895 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
896 
897 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
898 
899 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
900 /*
901   These routines are not usually accessed directly, rather solving is
902   done through the KSP and PC interfaces.
903 */
904 
905 /*J
906     MatOrderingType - String with the name of a PETSc matrix ordering
907 
908    Level: beginner
909 
910 .seealso: MatGetOrdering()
911 J*/
912 typedef const char* MatOrderingType;
913 #define MATORDERINGNATURAL     "natural"
914 #define MATORDERINGND          "nd"
915 #define MATORDERING1WD         "1wd"
916 #define MATORDERINGRCM         "rcm"
917 #define MATORDERINGQMD         "qmd"
918 #define MATORDERINGROWLENGTH   "rowlength"
919 #define MATORDERINGWBM         "wbm"
920 #define MATORDERINGSPECTRAL    "spectral"
921 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
922 
923 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
924 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
925 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
926 PETSC_EXTERN PetscErrorCode MatOrderingRegisterAll(void);
927 PETSC_EXTERN PetscBool         MatOrderingRegisterAllCalled;
928 PETSC_EXTERN PetscFunctionList MatOrderingList;
929 
930 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
931 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
932 
933 /*S
934     MatFactorShiftType - Numeric Shift.
935 
936    Level: beginner
937 
938 S*/
939 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
940 PETSC_EXTERN const char *const MatFactorShiftTypes[];
941 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
942 
943 /*S
944    MatFactorInfo - Data passed into the matrix factorization routines
945 
946    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
947 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
948 
949    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
950 
951       You can use MatFactorInfoInitialize() to set default values.
952 
953    Level: developer
954 
955 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
956           MatFactorInfoInitialize()
957 
958 S*/
959 typedef struct {
960   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
961   PetscReal     usedt;
962   PetscReal     dt;             /* drop tolerance */
963   PetscReal     dtcol;          /* tolerance for pivoting */
964   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
965   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
966   PetscReal     levels;         /* ICC/ILU(levels) */
967   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
968                                    factorization may be faster if do not pivot */
969   PetscReal     zeropivot;      /* pivot is called zero if less than this */
970   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
971   PetscReal     shiftamount;     /* how large the shift is */
972 } MatFactorInfo;
973 
974 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
975 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
976 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
984 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
985 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
986 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
987 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
988 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
991 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
992 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
993 
994 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
995 
996 /*E
997     MatSORType - What type of (S)SOR to perform
998 
999     Level: beginner
1000 
1001    May be bitwise ORd together
1002 
1003    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1004 
1005    MatSORType may be bitwise ORd together, so do not change the numbers
1006 
1007 .seealso: MatSOR()
1008 E*/
1009 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1010               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1011               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1012               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1013 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1014 
1015 /*
1016     These routines are for efficiently computing Jacobians via finite differences.
1017 */
1018 
1019 /*S
1020      MatColoring - Object for managing the coloring of matrices.
1021 
1022    Level: beginner
1023 
1024   Concepts: matrix, coloring
1025 
1026 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1027 S*/
1028 typedef struct _p_MatColoring* MatColoring;
1029 /*J
1030     MatColoringType - String with the name of a PETSc matrix coloring
1031 
1032    Level: beginner
1033 
1034 .seealso: MatColoringSetType(), MatColoring
1035 J*/
1036 
1037 typedef const  char*           MatColoringType;
1038 #define MATCOLORINGJP      "jp"
1039 #define MATCOLORINGMIS     "mis"
1040 #define MATCOLORINGNATURAL "natural"
1041 #define MATCOLORINGSL      "sl"
1042 #define MATCOLORINGLF      "lf"
1043 #define MATCOLORINGID      "id"
1044 
1045 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1046 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1047 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1048 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1049 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1050 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1051 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1052 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1053 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1054 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1055 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1056 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1057 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1058 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1059 
1060 /*S
1061      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1062         and coloring
1063 
1064    Level: beginner
1065 
1066   Concepts: coloring, sparse Jacobian, finite differences
1067 
1068 .seealso:  MatFDColoringCreate()
1069 S*/
1070 typedef struct _p_MatFDColoring* MatFDColoring;
1071 
1072 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1073 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1074 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1075 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1076 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1077 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1078 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1079 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1080 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1081 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1082 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1083 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1084 
1085 
1086 /*S
1087      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1088 
1089    Level: beginner
1090 
1091   Concepts: coloring, sparse matrix product
1092 
1093 .seealso:  MatTransposeColoringCreate()
1094 S*/
1095 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1096 
1097 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1098 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1099 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1100 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1101 
1102 /*
1103     These routines are for partitioning matrices: currently used only
1104   for adjacency matrix, MatCreateMPIAdj().
1105 */
1106 
1107 /*S
1108      MatPartitioning - Object for managing the partitioning of a matrix or graph
1109 
1110    Level: beginner
1111 
1112   Concepts: partitioning
1113 
1114 .seealso:  MatPartitioningCreate(), MatPartitioningType
1115 S*/
1116 typedef struct _p_MatPartitioning* MatPartitioning;
1117 
1118 /*J
1119     MatPartitioningType - String with the name of a PETSc matrix partitioning
1120 
1121    Level: beginner
1122 dm
1123 .seealso: MatPartitioningCreate(), MatPartitioning
1124 J*/
1125 typedef const char* MatPartitioningType;
1126 #define MATPARTITIONINGCURRENT  "current"
1127 #define MATPARTITIONINGSQUARE   "square"
1128 #define MATPARTITIONINGPARMETIS "parmetis"
1129 #define MATPARTITIONINGCHACO    "chaco"
1130 #define MATPARTITIONINGPARTY    "party"
1131 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1132 
1133 
1134 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1135 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1136 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1137 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1138 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1142 
1143 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1144 
1145 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1146 
1147 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1148 
1149 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1150 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1151 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1152 
1153 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1154 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1155 
1156 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1157 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1158 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1159 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1160 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1161 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1162 
1163 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1164 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1165 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1166 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1167 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1168 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1169 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1170 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1174 
1175 #define MP_PARTY_OPT "opt"
1176 #define MP_PARTY_LIN "lin"
1177 #define MP_PARTY_SCA "sca"
1178 #define MP_PARTY_RAN "ran"
1179 #define MP_PARTY_GBF "gbf"
1180 #define MP_PARTY_GCF "gcf"
1181 #define MP_PARTY_BUB "bub"
1182 #define MP_PARTY_DEF "def"
1183 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1184 #define MP_PARTY_HELPFUL_SETS "hs"
1185 #define MP_PARTY_KERNIGHAN_LIN "kl"
1186 #define MP_PARTY_NONE "no"
1187 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1188 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1189 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1190 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1191 
1192 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1193 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1194 
1195 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1196 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1197 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1198 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1199 
1200 /*
1201     These routines are for coarsening matrices:
1202 */
1203 
1204 /*S
1205      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1206 
1207    Level: beginner
1208 
1209   Concepts: coarsen
1210 
1211 .seealso:  MatCoarsenCreate), MatCoarsenType
1212 S*/
1213 typedef struct _p_MatCoarsen* MatCoarsen;
1214 
1215 /*J
1216     MatCoarsenType - String with the name of a PETSc matrix coarsen
1217 
1218    Level: beginner
1219 
1220 .seealso: MatCoarsenCreate(), MatCoarsen
1221 J*/
1222 typedef const char* MatCoarsenType;
1223 #define MATCOARSENMIS  "mis"
1224 #define MATCOARSENHEM  "hem"
1225 
1226 /* linked list for aggregates */
1227 typedef struct _PetscCDIntNd{
1228   struct _PetscCDIntNd *next;
1229   PetscInt             gid;
1230 }PetscCDIntNd;
1231 
1232 /* only used by node pool */
1233 typedef struct _PetscCDArrNd{
1234   struct _PetscCDArrNd *next;
1235   struct _PetscCDIntNd *array;
1236 }PetscCDArrNd;
1237 
1238 typedef struct _PetscCoarsenData{
1239   PetscCDArrNd pool_list;  /* node pool */
1240   PetscCDIntNd *new_node;
1241   PetscInt     new_left;
1242   PetscInt     chk_sz;
1243   PetscCDIntNd *extra_nodes;
1244   PetscCDIntNd **array;  /* Array of lists */
1245   PetscInt     size;
1246   Mat          mat;  /* cache a Mat for communication data */
1247 }PetscCoarsenData;
1248 
1249 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1250 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1251 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1252 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1253 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1254 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1255 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1256 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1257 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1258 
1259 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1260 
1261 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1262 
1263 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1264 
1265 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1266 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1267 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1268 PETSC_STATIC_INLINE PetscErrorCode MatCoarsenViewFromOptions(MatCoarsen A,const char prefix[],const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,prefix,name);}
1269 
1270 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1271 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1272 
1273 /*
1274     If you add entries here you must also add them to finclude/petscmat.h
1275 */
1276 typedef enum { MATOP_SET_VALUES=0,
1277                MATOP_GET_ROW=1,
1278                MATOP_RESTORE_ROW=2,
1279                MATOP_MULT=3,
1280                MATOP_MULT_ADD=4,
1281                MATOP_MULT_TRANSPOSE=5,
1282                MATOP_MULT_TRANSPOSE_ADD=6,
1283                MATOP_SOLVE=7,
1284                MATOP_SOLVE_ADD=8,
1285                MATOP_SOLVE_TRANSPOSE=9,
1286                MATOP_SOLVE_TRANSPOSE_ADD=10,
1287                MATOP_LUFACTOR=11,
1288                MATOP_CHOLESKYFACTOR=12,
1289                MATOP_SOR=13,
1290                MATOP_TRANSPOSE=14,
1291                MATOP_GETINFO=15,
1292                MATOP_EQUAL=16,
1293                MATOP_GET_DIAGONAL=17,
1294                MATOP_DIAGONAL_SCALE=18,
1295                MATOP_NORM=19,
1296                MATOP_ASSEMBLY_BEGIN=20,
1297                MATOP_ASSEMBLY_END=21,
1298                MATOP_SET_OPTION=22,
1299                MATOP_ZERO_ENTRIES=23,
1300                MATOP_ZERO_ROWS=24,
1301                MATOP_LUFACTOR_SYMBOLIC=25,
1302                MATOP_LUFACTOR_NUMERIC=26,
1303                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1304                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1305                MATOP_SETUP_PREALLOCATION=29,
1306                MATOP_ILUFACTOR_SYMBOLIC=30,
1307                MATOP_ICCFACTOR_SYMBOLIC=31,
1308                /* MATOP_PLACEHOLDER_32=32, */
1309                /* MATOP_PLACEHOLDER_33=33, */
1310                MATOP_DUPLICATE=34,
1311                MATOP_FORWARD_SOLVE=35,
1312                MATOP_BACKWARD_SOLVE=36,
1313                MATOP_ILUFACTOR=37,
1314                MATOP_ICCFACTOR=38,
1315                MATOP_AXPY=39,
1316                MATOP_GET_SUBMATRICES=40,
1317                MATOP_INCREASE_OVERLAP=41,
1318                MATOP_GET_VALUES=42,
1319                MATOP_COPY=43,
1320                MATOP_GET_ROW_MAX=44,
1321                MATOP_SCALE=45,
1322                MATOP_SHIFT=46,
1323                MATOP_DIAGONAL_SET=47,
1324                MATOP_ZERO_ROWS_COLUMNS=48,
1325                MATOP_SET_RANDOM=49,
1326                MATOP_GET_ROW_IJ=50,
1327                MATOP_RESTORE_ROW_IJ=51,
1328                MATOP_GET_COLUMN_IJ=52,
1329                MATOP_RESTORE_COLUMN_IJ=53,
1330                MATOP_FDCOLORING_CREATE=54,
1331                MATOP_COLORING_PATCH=55,
1332                MATOP_SET_UNFACTORED=56,
1333                MATOP_PERMUTE=57,
1334                MATOP_SET_VALUES_BLOCKED=58,
1335                MATOP_GET_SUBMATRIX=59,
1336                MATOP_DESTROY=60,
1337                MATOP_VIEW=61,
1338                MATOP_CONVERT_FROM=62,
1339                MATOP_MATMAT_MULT=63,
1340                MATOP_MATMAT_MULT_SYMBOLIC=64,
1341                MATOP_MATMAT_MULT_NUMERIC=65,
1342                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1343                MATOP_SET_VALUES_LOCAL=67,
1344                MATOP_ZERO_ROWS_LOCAL=68,
1345                MATOP_GET_ROW_MAX_ABS=69,
1346                MATOP_GET_ROW_MIN_ABS=70,
1347                MATOP_CONVERT=71,
1348                MATOP_SET_COLORING=72,
1349                /* MATOP_PLACEHOLDER_73=73, */
1350                MATOP_SET_VALUES_ADIFOR=74,
1351                MATOP_FD_COLORING_APPLY=75,
1352                MATOP_SET_FROM_OPTIONS=76,
1353                MATOP_MULT_CONSTRAINED=77,
1354                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1355                MATOP_FIND_ZERO_DIAGONALS=79,
1356                MATOP_MULT_MULTIPLE=80,
1357                MATOP_SOLVE_MULTIPLE=81,
1358                MATOP_GET_INERTIA=82,
1359                MATOP_LOAD=83,
1360                MATOP_IS_SYMMETRIC=84,
1361                MATOP_IS_HERMITIAN=85,
1362                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1363                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1364                MATOP_GET_VECS=88,
1365                MATOP_MAT_MULT=89,
1366                MATOP_MAT_MULT_SYMBOLIC=90,
1367                MATOP_MAT_MULT_NUMERIC=91,
1368                MATOP_PTAP=92,
1369                MATOP_PTAP_SYMBOLIC=93,
1370                MATOP_PTAP_NUMERIC=94,
1371                MATOP_MAT_TRANSPOSE_MULT=95,
1372                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1373                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1374                /* MATOP_PLACEHOLDER_98=98, */
1375                /* MATOP_PLACEHOLDER_99=99, */
1376                /* MATOP_PLACEHOLDER_100=100, */
1377                /* MATOP_PLACEHOLDER_101=101, */
1378                MATOP_CONJUGATE=102,
1379                /* MATOP_PLACEHOLDER_103=103, */
1380                MATOP_SET_VALUES_ROW=104,
1381                MATOP_REAL_PART=105,
1382                MATOP_IMAGINARY_PART=106,
1383                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1384                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1385                MATOP_MAT_SOLVE=109,
1386                MATOP_GET_REDUNDANT_MATRIX=110,
1387                MATOP_GET_ROW_MIN=111,
1388                MATOP_GET_COLUMN_VECTOR=112,
1389                MATOP_MISSING_DIAGONAL=113,
1390                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1391                MATOP_CREATE=115,
1392                MATOP_GET_GHOSTS=116,
1393                MATOP_GET_LOCAL_SUB_MATRIX=117,
1394                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1395                MATOP_MULT_DIAGONAL_BLOCK=119,
1396                MATOP_HERMITIAN_TRANSPOSE=120,
1397                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1398                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1399                MATOP_GET_MULTI_PROC_BLOCK=123,
1400                MATOP_FIND_NONZERO_ROWS=124,
1401                MATOP_GET_COLUMN_NORMS=125,
1402                MATOP_INVERT_BLOCK_DIAGONAL=126,
1403                /* MATOP_PLACEHOLDER_127=127, */
1404                MATOP_GET_SUB_MATRICES_PARALLE=128,
1405                MATOP_SET_VALUES_BATCH=129,
1406                MATOP_TRANSPOSE_MAT_MULT=130,
1407                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1408                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1409                MATOP_TRANSPOSE_COLORING_CREAT=133,
1410                MATOP_TRANS_COLORING_APPLY_SPT=134,
1411                MATOP_TRANS_COLORING_APPLY_DEN=135,
1412                MATOP_RART=136,
1413                MATOP_RART_SYMBOLIC=137,
1414                MATOP_RART_NUMERIC=138,
1415                MATOP_SET_BLOCK_SIZES=139,
1416                MATOP_AYPX=140,
1417                MATOP_RESIDUAL=141,
1418                MATOP_FDCOLORING_SETUP= 142
1419              } MatOperation;
1420 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1421 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1422 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1423 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1424 
1425 /*
1426    Codes for matrices stored on disk. By default they are
1427    stored in a universal format. By changing the format with
1428    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1429    be stored in a way natural for the matrix, for example dense matrices
1430    would be stored as dense. Matrices stored this way may only be
1431    read into matrices of the same type.
1432 */
1433 #define MATRIX_BINARY_FORMAT_DENSE -1
1434 
1435 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1436 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1437 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1438 
1439 /*S
1440      MatNullSpace - Object that removes a null space from a vector, i.e.
1441          orthogonalizes the vector to a subsapce
1442 
1443    Level: advanced
1444 
1445   Concepts: matrix; linear operator, null space
1446 
1447   Users manual sections:
1448 .   sec_singular
1449 
1450 .seealso:  MatNullSpaceCreate()
1451 S*/
1452 typedef struct _p_MatNullSpace* MatNullSpace;
1453 
1454 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1455 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1456 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1457 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1458 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1459 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1460 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1461 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1462 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1463 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1464 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1465 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1466 
1467 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1468 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1469 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1470 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1471 
1472 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1473 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1474 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1475 
1476 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1477 
1478 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1479 
1480 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1481 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1482 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1483 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1484 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1485 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1486 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1487 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1488 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1490 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1491 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1492 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1493 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1494 
1495 /*S
1496     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1497               Jacobian vector products
1498 
1499     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1500 
1501            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1502 
1503     Level: developer
1504 
1505 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1506 S*/
1507 typedef struct _p_MatMFFD* MatMFFD;
1508 
1509 /*J
1510     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1511 
1512    Level: beginner
1513 
1514 .seealso: MatMFFDSetType(), MatMFFDRegister()
1515 J*/
1516 typedef const char* MatMFFDType;
1517 #define MATMFFD_DS  "ds"
1518 #define MATMFFD_WP  "wp"
1519 
1520 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1521 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1522 
1523 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1524 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1525 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1526 
1527 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1528 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1529 
1530 /*
1531    PETSc interface to MUMPS
1532 */
1533 #ifdef PETSC_HAVE_MUMPS
1534 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1535 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1536 #endif
1537 
1538 /*
1539    PETSc interface to SUPERLU
1540 */
1541 #ifdef PETSC_HAVE_SUPERLU
1542 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1543 #endif
1544 
1545 #ifdef PETSC_HAVE_CUDA
1546 /*E
1547     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1548     matrices.
1549 
1550     Not Collective
1551 
1552 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1553 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1554 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1555 
1556     Level: intermediate
1557 
1558    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1559 
1560 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1561 E*/
1562 
1563 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1564 
1565 /* these will be strings associated with enumerated type defined above */
1566 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1567 
1568 /*E
1569     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1570     matrices whose operation should use a particular storage format.
1571 
1572     Not Collective
1573 
1574 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1575 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1576 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1577 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1578 
1579     Level: intermediate
1580 
1581 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1582 E*/
1583 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1584 
1585 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1586 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1587 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1588 #endif
1589 
1590 #if defined(PETSC_HAVE_CUSP)
1591 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1592 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1593 
1594 /*E
1595     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1596     matrices.
1597 
1598     Not Collective
1599 
1600 +   MAT_CUSP_CSR - Compressed Sparse Row
1601 .   MAT_CUSP_DIA - Diagonal
1602 -   MAT_CUSP_ELL - Ellpack
1603 
1604     Level: intermediate
1605 
1606    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1607 
1608 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1609 E*/
1610 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1611 
1612 /* these will be strings associated with enumerated type defined above */
1613 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1614 
1615 /*E
1616     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1617     matrices whose operation should use a particular storage format.
1618 
1619     Not Collective
1620 
1621 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1622 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1623 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1624 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1625 
1626     Level: intermediate
1627 
1628    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1629 
1630 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1631 E*/
1632 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1633 
1634 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1635 #endif
1636 
1637 #if defined(PETSC_HAVE_VIENNACL)
1638 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1639 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1640 #endif
1641 
1642 /*
1643    PETSc interface to FFTW
1644 */
1645 #if defined(PETSC_HAVE_FFTW)
1646 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1647 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1648 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1649 #endif
1650 
1651 #if defined(PETSC_HAVE_ELEMENTAL)
1652 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1653 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1654 #endif
1655 
1656 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1657 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1658 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1659 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1660 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1661 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1662 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1663 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1664 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1665 
1666 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1667 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1668 
1669 #endif
1670