xref: /petsc/include/petscmat.h (revision 9bb5e83dfd8d08918f3df3058fee52935e3d9cc1)
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 MATAIJPERM         "aijperm"
48 #define MATSEQAIJPERM      "seqaijperm"
49 #define MATMPIAIJPERM      "mpiaijperm"
50 #define MATSHELL           "shell"
51 #define MATDENSE           "dense"
52 #define MATSEQDENSE        "seqdense"
53 #define MATMPIDENSE        "mpidense"
54 #define MATELEMENTAL       "elemental"
55 #define MATBAIJ            "baij"
56 #define MATSEQBAIJ         "seqbaij"
57 #define MATMPIBAIJ         "mpibaij"
58 #define MATMPIADJ          "mpiadj"
59 #define MATSBAIJ           "sbaij"
60 #define MATSEQSBAIJ        "seqsbaij"
61 #define MATMPISBAIJ        "mpisbaij"
62 #define MATSEQBSTRM        "seqbstrm"
63 #define MATMPIBSTRM        "mpibstrm"
64 #define MATBSTRM           "bstrm"
65 #define MATSEQSBSTRM       "seqsbstrm"
66 #define MATMPISBSTRM       "mpisbstrm"
67 #define MATSBSTRM          "sbstrm"
68 #define MATDAAD            "daad"
69 #define MATMFFD            "mffd"
70 #define MATNORMAL          "normal"
71 #define MATLRC             "lrc"
72 #define MATSCATTER         "scatter"
73 #define MATBLOCKMAT        "blockmat"
74 #define MATCOMPOSITE       "composite"
75 #define MATFFT             "fft"
76 #define MATFFTW            "fftw"
77 #define MATSEQCUFFT        "seqcufft"
78 #define MATTRANSPOSEMAT    "transpose"
79 #define MATSCHURCOMPLEMENT "schurcomplement"
80 #define MATPYTHON          "python"
81 #define MATHYPRESTRUCT     "hyprestruct"
82 #define MATHYPRESSTRUCT    "hypresstruct"
83 #define MATSUBMATRIX       "submatrix"
84 #define MATLOCALREF        "localref"
85 #define MATNEST            "nest"
86 
87 /*J
88     MatSolverPackage - String with the name of a PETSc matrix solver type.
89 
90     For example: "petsc" indicates what PETSc provides, "superlu" indicates either
91        SuperLU or SuperLU_Dist etc.
92 
93 
94    Level: beginner
95 
96 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
97 J*/
98 #define MatSolverPackage char*
99 #define MATSOLVERSUPERLU      "superlu"
100 #define MATSOLVERSUPERLU_DIST "superlu_dist"
101 #define MATSOLVERUMFPACK      "umfpack"
102 #define MATSOLVERCHOLMOD      "cholmod"
103 #define MATSOLVERESSL         "essl"
104 #define MATSOLVERLUSOL        "lusol"
105 #define MATSOLVERMUMPS        "mumps"
106 #define MATSOLVERPASTIX       "pastix"
107 #define MATSOLVERMATLAB       "matlab"
108 #define MATSOLVERPETSC        "petsc"
109 #define MATSOLVERBAS          "bas"
110 #define MATSOLVERCUSPARSE     "cusparse"
111 #define MATSOLVERBSTRM        "bstrm"
112 #define MATSOLVERSBSTRM       "sbstrm"
113 #define MATSOLVERELEMENTAL    "elemental"
114 #define MATSOLVERCLIQUE       "clique"
115 
116 /*E
117     MatFactorType - indicates what type of factorization is requested
118 
119     Level: beginner
120 
121    Any additions/changes here MUST also be made in include/finclude/petscmat.h
122 
123 .seealso: MatSolverPackage, MatGetFactor()
124 E*/
125 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
126 PETSC_EXTERN const char *const MatFactorTypes[];
127 
128 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
129 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
130 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
131 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
132 
133 /* Logging support */
134 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
135 PETSC_EXTERN PetscClassId MAT_CLASSID;
136 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
141 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
142 
143 /*E
144     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
145      or MatGetSubMatrix() are to be reused to store the new matrix values. For MatConvert() is used to indicate
146      that the input matrix is to be replaced with the converted matrix.
147 
148     Level: beginner
149 
150    Any additions/changes here MUST also be made in include/finclude/petscmat.h
151 
152 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
153 E*/
154 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX} MatReuse;
155 
156 /*E
157     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
158      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
159 
160     Level: beginner
161 
162 .seealso: MatGetSeqNonzerostructure()
163 E*/
164 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
165 
166 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
167 
168 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
169 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
170 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
171 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
172 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,const char[],const char[]);
173 PETSC_EXTERN PetscErrorCode MatRegisterAll(void);
174 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
175 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
176 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
177 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
178 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
179 
180 PETSC_EXTERN PetscBool         MatRegisterAllCalled;
181 PETSC_EXTERN PetscFunctionList MatList;
182 PETSC_EXTERN PetscFunctionList MatColoringList;
183 PETSC_EXTERN PetscFunctionList MatPartitioningList;
184 PETSC_EXTERN PetscFunctionList MatCoarsenList;
185 
186 /*E
187     MatStructure - Indicates if the matrix has the same nonzero structure
188 
189     Level: beginner
190 
191    Any additions/changes here MUST also be made in include/finclude/petscmat.h
192 
193 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
194 E*/
195 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,SAME_PRECONDITIONER} MatStructure;
196 
197 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
198 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
199 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
200 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
201 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
202 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 
211 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
213 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
214 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt*,const PetscInt*,const PetscInt*,const PetscInt*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Mat,Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 
223 PETSC_EXTERN PetscErrorCode MatCreateSeqBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateMPIBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqSBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPISBSTRM(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
227 
228 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
229 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
230 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
231 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
232 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
233 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
234 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
235 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
236 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
243 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
244 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
247 
248 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
249 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
252 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
253 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
254 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
255 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
256 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
257 
258 /* ------------------------------------------------------------*/
259 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
260 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
261 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
263 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
264 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
265 
266 /*S
267      MatStencil - Data structure (C struct) for storing information about a single row or
268         column of a matrix as indexed on an associated grid.
269 
270    Fortran usage is different, see MatSetValuesStencil() for details.
271 
272    Level: beginner
273 
274   Concepts: matrix; linear operator
275 
276 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil()
277 S*/
278 typedef struct {
279   PetscInt k,j,i,c;
280 } MatStencil;
281 
282 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
283 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
284 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
285 
286 PETSC_EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
287 PETSC_EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
288 
289 /*E
290     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
291      to continue to add values to it
292 
293     Level: beginner
294 
295 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
296 E*/
297 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
298 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
299 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
300 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
301 
302 
303 
304 /*E
305     MatOption - Options that may be set for a matrix and its behavior or storage
306 
307     Level: beginner
308 
309    Any additions/changes here MUST also be made in include/finclude/petscmat.h
310 
311    Developer Notes: Entries that are negative need not be called collectively by all processes.
312 
313 .seealso: MatSetOption()
314 E*/
315 typedef enum {MAT_OPTION_MIN = -8,
316               MAT_NEW_NONZERO_LOCATION_ERR = -7,
317               MAT_NO_OFF_PROC_ZERO_ROWS = -6,
318               MAT_NO_OFF_PROC_ENTRIES = -5,
319               MAT_UNUSED_NONZERO_LOCATION_ERR = -4,
320               MAT_NEW_NONZERO_ALLOCATION_ERR = -3,
321               MAT_ROW_ORIENTED = -2,
322               MAT_NEW_NONZERO_LOCATIONS = -1,
323               MAT_SYMMETRIC = 1,
324               MAT_STRUCTURALLY_SYMMETRIC = 2,
325               MAT_NEW_DIAGONALS = 3,
326               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
327               MAT_USE_HASH_TABLE = 5,
328               MAT_KEEP_NONZERO_PATTERN = 6,
329               MAT_IGNORE_ZERO_ENTRIES = 7,
330               MAT_USE_INODES = 8,
331               MAT_HERMITIAN = 9,
332               MAT_SYMMETRY_ETERNAL = 10,
333               MAT_CHECK_COMPRESSED_ROW = 11,
334               MAT_IGNORE_LOWER_TRIANGULAR = 12,
335               MAT_ERROR_LOWER_TRIANGULAR = 13,
336               MAT_GETROW_UPPERTRIANGULAR = 14,
337               MAT_SPD = 15,
338               MAT_OPTION_MAX = 16} MatOption;
339 
340 PETSC_EXTERN const char *MatOptions[];
341 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool );
342 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
343 
344 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
345 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
346 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
347 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
348 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
349 PETSC_EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
350 PETSC_EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
351 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
352 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
353 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
354 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
355 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
356 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
357 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
358 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
359 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
360 PETSC_EXTERN PetscErrorCode MatSetNThreads(Mat,PetscInt);
361 PETSC_EXTERN PetscErrorCode MatGetNThreads(Mat,PetscInt*);
362 
363 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
364 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
365 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
366 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
367 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
368 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
369 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
370 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
371 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
372 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
373 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
374 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
375 
376 /*E
377     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
378   its numerical values copied over or just its nonzero structure.
379 
380     Level: beginner
381 
382    Any additions/changes here MUST also be made in include/finclude/petscmat.h
383 
384 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
385 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
386 $                               have several matrices with the same nonzero pattern.
387 
388 .seealso: MatDuplicate()
389 E*/
390 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
391 
392 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
393 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
394 
395 
396 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
397 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
398 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
399 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
400 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
401 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
404 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
405 
406 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
407 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
408 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
409 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
410 
411 /*S
412      MatInfo - Context of matrix information, used with MatGetInfo()
413 
414    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
415 
416    Level: intermediate
417 
418   Concepts: matrix^nonzero information
419 
420 .seealso:  MatGetInfo(), MatInfoType
421 S*/
422 typedef struct {
423   PetscLogDouble block_size;                         /* block size */
424   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
425   PetscLogDouble memory;                             /* memory allocated */
426   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
427   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
428   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
429   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
430 } MatInfo;
431 
432 /*E
433     MatInfoType - Indicates if you want information about the local part of the matrix,
434      the entire parallel matrix or the maximum over all the local parts.
435 
436     Level: beginner
437 
438    Any additions/changes here MUST also be made in include/finclude/petscmat.h
439 
440 .seealso: MatGetInfo(), MatInfo
441 E*/
442 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
443 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
444 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
445 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
446 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
447 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
448 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
449 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
450 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
451 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
452 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
453 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
454 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
455 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool *);
456 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool *);
457 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool *);
458 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool *);
459 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool *);
460 
461 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
462 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal *);
463 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
464 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
465 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
466 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
467 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
468 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
470 
471 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
472 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
473 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
474 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
475 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
477 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
478 
479 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
480 PETSC_EXTERN PetscErrorCode MatGetSubMatricesParallel(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
481 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
482 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
483 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
484 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
485 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
486 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
487 
488 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
489 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,Mat*);
490 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm,Mat,PetscInt,Mat);
491 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
492 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
493 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
494 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
496 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
497 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
498 
499 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
500 
501 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
502 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
503 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
504 
505 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
506 PETSC_EXTERN PetscErrorCode MatMatMatMultSymbolic(Mat,Mat,Mat,PetscReal,Mat*);
507 PETSC_EXTERN PetscErrorCode MatMatMatMultNumeric(Mat,Mat,Mat,Mat);
508 
509 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
510 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
511 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
512 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
513 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
514 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
515 
516 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
517 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
518 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
519 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
524 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
525 
526 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
527 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
528 
529 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
530 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
531 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
532 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
533 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
534 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
535 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
536 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
537 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
538 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
539 
540 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
541 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
542 
543 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
544 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
546 PETSC_EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
547 PETSC_EXTERN PetscErrorCode MatGetRedundantMatrix(Mat,PetscInt,MPI_Comm,PetscInt,MatReuse,Mat*);
548 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
550 
551 /*MC
552    MatSetValue - Set a single entry into a matrix.
553 
554    Not collective
555 
556    Input Parameters:
557 +  m - the matrix
558 .  row - the row location of the entry
559 .  col - the column location of the entry
560 .  value - the value to insert
561 -  mode - either INSERT_VALUES or ADD_VALUES
562 
563    Notes:
564    For efficiency one should use MatSetValues() and set several or many
565    values simultaneously if possible.
566 
567    Level: beginner
568 
569 .seealso: MatSetValues(), MatSetValueLocal()
570 M*/
571 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
572 
573 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
574 
575 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
576 
577 /*MC
578    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
579        row in a matrix providing the data that one can use to correctly preallocate the matrix.
580 
581    Synopsis:
582    #include "petscmat.h"
583    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
584 
585    Collective on MPI_Comm
586 
587    Input Parameters:
588 +  comm - the communicator that will share the eventually allocated matrix
589 .  nrows - the number of LOCAL rows in the matrix
590 -  ncols - the number of LOCAL columns in the matrix
591 
592    Output Parameters:
593 +  dnz - the array that will be passed to the matrix preallocation routines
594 -  ozn - the other array passed to the matrix preallocation routines
595 
596 
597    Level: intermediate
598 
599    Notes:
600     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
601 
602    Do not malloc or free dnz and onz, that is handled internally by these routines
603 
604    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
605 
606    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
607 
608   Concepts: preallocation^Matrix
609 
610 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
611           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
612 M*/
613 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
614 { \
615   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
616   _4_ierr = PetscMalloc2(__nrows,PetscInt,&dnz,__nrows,PetscInt,&onz);CHKERRQ(_4_ierr); \
617   _4_ierr = PetscMemzero(dnz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr);\
618   _4_ierr = PetscMemzero(onz,__nrows*sizeof(PetscInt));CHKERRQ(_4_ierr); __start = 0; __end = __start; \
619   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
620   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
621 
622 /*MC
623    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
624        inserted using a local number of the rows and columns
625 
626    Synopsis:
627    #include "petscmat.h"
628    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
629 
630    Not Collective
631 
632    Input Parameters:
633 +  map - the row mapping from local numbering to global numbering
634 .  nrows - the number of rows indicated
635 .  rows - the indices of the rows
636 .  cmap - the column mapping from local to global numbering
637 .  ncols - the number of columns in the matrix
638 .  cols - the columns indicated
639 .  dnz - the array that will be passed to the matrix preallocation routines
640 -  ozn - the other array passed to the matrix preallocation routines
641 
642 
643    Level: intermediate
644 
645    Notes:
646     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
647 
648    Do not malloc or free dnz and onz, that is handled internally by these routines
649 
650   Concepts: preallocation^Matrix
651 
652 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
653           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
654 M*/
655 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
656 {\
657   PetscInt __l;\
658   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
659   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
660   for (__l=0;__l<nrows;__l++) {\
661     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
662   }\
663 }
664 
665 /*MC
666    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
667        inserted using a local number of the rows and columns
668 
669    Synopsis:
670    #include "petscmat.h"
671    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
672 
673    Not Collective
674 
675    Input Parameters:
676 +  map - the mapping between local numbering and global numbering
677 .  nrows - the number of rows indicated
678 .  rows - the indices of the rows
679 .  ncols - the number of columns in the matrix
680 .  cols - the columns indicated
681 .  dnz - the array that will be passed to the matrix preallocation routines
682 -  ozn - the other array passed to the matrix preallocation routines
683 
684 
685    Level: intermediate
686 
687    Notes:
688     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
689 
690    Do not malloc or free dnz and onz that is handled internally by these routines
691 
692   Concepts: preallocation^Matrix
693 
694 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
695           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
696 M*/
697 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
698 {\
699   PetscInt __l;\
700   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
701   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
702   for (__l=0;__l<nrows;__l++) {\
703     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
704   }\
705 }
706 
707 /*MC
708    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
709        inserted using a local number of the rows and columns
710 
711    Synopsis:
712    #include "petscmat.h"
713    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
714 
715    Not Collective
716 
717    Input Parameters:
718 +  row - the row
719 .  ncols - the number of columns in the matrix
720 -  cols - the columns indicated
721 
722    Output Parameters:
723 +  dnz - the array that will be passed to the matrix preallocation routines
724 -  ozn - the other array passed to the matrix preallocation routines
725 
726 
727    Level: intermediate
728 
729    Notes:
730     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
731 
732    Do not malloc or free dnz and onz that is handled internally by these routines
733 
734    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
735 
736   Concepts: preallocation^Matrix
737 
738 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
739           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
740 M*/
741 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
742 { PetscInt __i; \
743   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);\
744   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);\
745   for (__i=0; __i<nc; __i++) {\
746     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
747     else dnz[row - __rstart]++;\
748   }\
749 }
750 
751 /*MC
752    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
753        inserted using a local number of the rows and columns
754 
755    Synopsis:
756    #include "petscmat.h"
757    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
758 
759    Not Collective
760 
761    Input Parameters:
762 +  nrows - the number of rows indicated
763 .  rows - the indices of the rows
764 .  ncols - the number of columns in the matrix
765 .  cols - the columns indicated
766 .  dnz - the array that will be passed to the matrix preallocation routines
767 -  ozn - the other array passed to the matrix preallocation routines
768 
769 
770    Level: intermediate
771 
772    Notes:
773     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
774 
775    Do not malloc or free dnz and onz that is handled internally by these routines
776 
777    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
778 
779   Concepts: preallocation^Matrix
780 
781 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
782           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
783 M*/
784 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
785 { PetscInt __i; \
786   for (__i=0; __i<nc; __i++) {\
787     if (cols[__i] >= __end) onz[row - __rstart]++; \
788     else if (cols[__i] >= row) dnz[row - __rstart]++;\
789   }\
790 }
791 
792 /*MC
793    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
794 
795    Synopsis:
796    #include "petscmat.h"
797    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
798 
799    Not Collective
800 
801    Input Parameters:
802 .  A - matrix
803 .  row - row where values exist (must be local to this process)
804 .  ncols - number of columns
805 .  cols - columns with nonzeros
806 .  dnz - the array that will be passed to the matrix preallocation routines
807 -  ozn - the other array passed to the matrix preallocation routines
808 
809 
810    Level: intermediate
811 
812    Notes:
813     See the <A href="../../docs/manual.pdf#nameddest=ch_performance">Hints for Performance Improvment</A> chapter in the users manual for more details.
814 
815    Do not malloc or free dnz and onz that is handled internally by these routines
816 
817    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
818 
819   Concepts: preallocation^Matrix
820 
821 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
822           MatPreallocateSymmetricSetLocal()
823 M*/
824 #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);}
825 
826 
827 /*MC
828    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
829        row in a matrix providing the data that one can use to correctly preallocate the matrix.
830 
831    Synopsis:
832    #include "petscmat.h"
833    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
834 
835    Collective on MPI_Comm
836 
837    Input Parameters:
838 +  dnz - the array that was be passed to the matrix preallocation routines
839 -  ozn - the other array passed to the matrix preallocation routines
840 
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 
859 
860 /* Routines unique to particular data structures */
861 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
862 
863 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
864 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
865 
866 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
867 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
868 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
869 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
870 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
871 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
872 
873 #define MAT_SKIP_ALLOCATION -4
874 
875 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
876 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
877 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
878 
879 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
880 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
881 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
882 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
883 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
884 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
885 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
886 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
887 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
888 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
889 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
890 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
891 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
892 
893 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
894 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
895 
896 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
897 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
898 
899 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
900 
901 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
902 /*
903   These routines are not usually accessed directly, rather solving is
904   done through the KSP and PC interfaces.
905 */
906 
907 /*J
908     MatOrderingType - String with the name of a PETSc matrix ordering
909 
910    Level: beginner
911 
912 .seealso: MatGetOrdering()
913 J*/
914 typedef const char* MatOrderingType;
915 #define MATORDERINGNATURAL     "natural"
916 #define MATORDERINGND          "nd"
917 #define MATORDERING1WD         "1wd"
918 #define MATORDERINGRCM         "rcm"
919 #define MATORDERINGQMD         "qmd"
920 #define MATORDERINGROWLENGTH   "rowlength"
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 
932 /*S
933     MatFactorShiftType - Numeric Shift.
934 
935    Level: beginner
936 
937 S*/
938 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
939 PETSC_EXTERN const char *const MatFactorShiftTypes[];
940 
941 /*S
942    MatFactorInfo - Data passed into the matrix factorization routines
943 
944    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
945 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
946 
947    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
948 
949       You can use MatFactorInfoInitialize() to set default values.
950 
951    Level: developer
952 
953 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
954           MatFactorInfoInitialize()
955 
956 S*/
957 typedef struct {
958   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
959   PetscReal     usedt;
960   PetscReal     dt;             /* drop tolerance */
961   PetscReal     dtcol;          /* tolerance for pivoting */
962   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
963   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
964   PetscReal     levels;         /* ICC/ILU(levels) */
965   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
966                                    factorization may be faster if do not pivot */
967   PetscReal     zeropivot;      /* pivot is called zero if less than this */
968   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
969   PetscReal     shiftamount;     /* how large the shift is */
970 } MatFactorInfo;
971 
972 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
973 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
974 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
975 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
976 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
977 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
978 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
979 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
980 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
981 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
982 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
983 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
984 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
985 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
986 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
987 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
988 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
989 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
990 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
991 
992 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
993 
994 /*E
995     MatSORType - What type of (S)SOR to perform
996 
997     Level: beginner
998 
999    May be bitwise ORd together
1000 
1001    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1002 
1003    MatSORType may be bitwise ORd together, so do not change the numbers
1004 
1005 .seealso: MatSOR()
1006 E*/
1007 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1008               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1009               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1010               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1011 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1012 
1013 /*
1014     These routines are for efficiently computing Jacobians via finite differences.
1015 */
1016 
1017 /*J
1018     MatColoringType - String with the name of a PETSc matrix coloring
1019 
1020    Level: beginner
1021 
1022 .seealso: MatGetColoring(), MatColoring
1023 J*/
1024 typedef const char* MatColoringType;
1025 #define MATCOLORINGNATURAL "natural"
1026 #define MATCOLORINGSL      "sl"
1027 #define MATCOLORINGLF      "lf"
1028 #define MATCOLORINGID      "id"
1029 
1030 PETSC_EXTERN PetscErrorCode MatGetColoring(Mat,MatColoringType,ISColoring*);
1031 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(Mat,MatColoringType,ISColoring *));
1032 
1033 PETSC_EXTERN PetscBool MatColoringRegisterAllCalled;
1034 
1035 PETSC_EXTERN PetscErrorCode MatColoringRegisterAll(void);
1036 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1037 
1038 /*S
1039      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1040         and coloring
1041 
1042    Level: beginner
1043 
1044   Concepts: coloring, sparse Jacobian, finite differences
1045 
1046 .seealso:  MatFDColoringCreate()
1047 S*/
1048 typedef struct _p_MatFDColoring* MatFDColoring;
1049 
1050 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1051 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1052 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1053 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1054 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1055 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1056 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1057 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
1058 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1059 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1060 
1061 /*S
1062      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1063 
1064    Level: beginner
1065 
1066   Concepts: coloring, sparse matrix product
1067 
1068 .seealso:  MatTransposeColoringCreate()
1069 S*/
1070 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1071 
1072 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1073 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1074 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1075 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1076 
1077 /*
1078     These routines are for partitioning matrices: currently used only
1079   for adjacency matrix, MatCreateMPIAdj().
1080 */
1081 
1082 /*S
1083      MatPartitioning - Object for managing the partitioning of a matrix or graph
1084 
1085    Level: beginner
1086 
1087   Concepts: partitioning
1088 
1089 .seealso:  MatPartitioningCreate(), MatPartitioningType
1090 S*/
1091 typedef struct _p_MatPartitioning* MatPartitioning;
1092 
1093 /*J
1094     MatPartitioningType - String with the name of a PETSc matrix partitioning
1095 
1096    Level: beginner
1097 dm
1098 .seealso: MatPartitioningCreate(), MatPartitioning
1099 J*/
1100 typedef const char* MatPartitioningType;
1101 #define MATPARTITIONINGCURRENT  "current"
1102 #define MATPARTITIONINGSQUARE   "square"
1103 #define MATPARTITIONINGPARMETIS "parmetis"
1104 #define MATPARTITIONINGCHACO    "chaco"
1105 #define MATPARTITIONINGPARTY    "party"
1106 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1107 
1108 
1109 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1110 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1111 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1112 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1113 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1114 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1115 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1116 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1117 
1118 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1119 
1120 PETSC_EXTERN PetscBool MatPartitioningRegisterAllCalled;
1121 
1122 PETSC_EXTERN PetscErrorCode MatPartitioningRegisterAll(void);
1123 
1124 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1125 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1126 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1127 
1128 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1129 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1130 
1131 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1132 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1133 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1134 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1135 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1136 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1137 
1138 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1139 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1140 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1141 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1142 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1143 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1144 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1145 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1146 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1147 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1148 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1149 
1150 #define MP_PARTY_OPT "opt"
1151 #define MP_PARTY_LIN "lin"
1152 #define MP_PARTY_SCA "sca"
1153 #define MP_PARTY_RAN "ran"
1154 #define MP_PARTY_GBF "gbf"
1155 #define MP_PARTY_GCF "gcf"
1156 #define MP_PARTY_BUB "bub"
1157 #define MP_PARTY_DEF "def"
1158 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1159 #define MP_PARTY_HELPFUL_SETS "hs"
1160 #define MP_PARTY_KERNIGHAN_LIN "kl"
1161 #define MP_PARTY_NONE "no"
1162 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1163 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1164 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1165 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1166 
1167 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1168 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1169 
1170 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1171 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1172 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1173 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1174 
1175 /*
1176     These routines are for coarsening matrices:
1177 */
1178 
1179 /*S
1180      MatCoarsen - Object for managing the coarsening of a graph (symmetric matrix)
1181 
1182    Level: beginner
1183 
1184   Concepts: coarsen
1185 
1186 .seealso:  MatCoarsenCreate), MatCoarsenType
1187 S*/
1188 typedef struct _p_MatCoarsen* MatCoarsen;
1189 
1190 /*J
1191     MatCoarsenType - String with the name of a PETSc matrix coarsen
1192 
1193    Level: beginner
1194 
1195 .seealso: MatCoarsenCreate(), MatCoarsen
1196 J*/
1197 typedef const char* MatCoarsenType;
1198 #define MATCOARSENMIS  "mis"
1199 #define MATCOARSENHEM  "hem"
1200 
1201 /* linked list for aggregates */
1202 typedef struct _PetscCDIntNd{
1203   struct _PetscCDIntNd *next;
1204   PetscInt             gid;
1205 }PetscCDIntNd;
1206 
1207 /* only used by node pool */
1208 typedef struct _PetscCDArrNd{
1209   struct _PetscCDArrNd *next;
1210   struct _PetscCDIntNd *array;
1211 }PetscCDArrNd;
1212 
1213 typedef struct _PetscCoarsenData{
1214   PetscCDArrNd pool_list;  /* node pool */
1215   PetscCDIntNd *new_node;
1216   PetscInt     new_left;
1217   PetscInt     chk_sz;
1218   PetscCDIntNd *extra_nodes;
1219   PetscCDIntNd **array;  /* Array of lists */
1220   PetscInt     size;
1221   Mat          mat;  /* cache a Mat for communication data */
1222 }PetscCoarsenData;
1223 
1224 PETSC_EXTERN PetscErrorCode MatCoarsenCreate(MPI_Comm,MatCoarsen*);
1225 PETSC_EXTERN PetscErrorCode MatCoarsenSetType(MatCoarsen,MatCoarsenType);
1226 PETSC_EXTERN PetscErrorCode MatCoarsenSetAdjacency(MatCoarsen,Mat);
1227 PETSC_EXTERN PetscErrorCode MatCoarsenSetGreedyOrdering(MatCoarsen,const IS);
1228 PETSC_EXTERN PetscErrorCode MatCoarsenSetStrictAggs(MatCoarsen,PetscBool);
1229 PETSC_EXTERN PetscErrorCode MatCoarsenSetVerbose(MatCoarsen,PetscInt);
1230 PETSC_EXTERN PetscErrorCode MatCoarsenGetData( MatCoarsen, PetscCoarsenData ** );
1231 PETSC_EXTERN PetscErrorCode MatCoarsenApply(MatCoarsen);
1232 PETSC_EXTERN PetscErrorCode MatCoarsenDestroy(MatCoarsen*);
1233 
1234 PETSC_EXTERN PetscErrorCode MatCoarsenRegister(const char[],PetscErrorCode (*)(MatCoarsen));
1235 
1236 PETSC_EXTERN PetscBool MatCoarsenRegisterAllCalled;
1237 
1238 PETSC_EXTERN PetscErrorCode MatCoarsenRegisterAll(void);
1239 
1240 PETSC_EXTERN PetscErrorCode MatCoarsenView(MatCoarsen,PetscViewer);
1241 PETSC_EXTERN PetscErrorCode MatCoarsenSetFromOptions(MatCoarsen);
1242 PETSC_EXTERN PetscErrorCode MatCoarsenGetType(MatCoarsen,MatCoarsenType*);
1243 
1244 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1245 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1246 
1247 /*
1248     If you add entries here you must also add them to finclude/petscmat.h
1249 */
1250 typedef enum { MATOP_SET_VALUES=0,
1251                MATOP_GET_ROW=1,
1252                MATOP_RESTORE_ROW=2,
1253                MATOP_MULT=3,
1254                MATOP_MULT_ADD=4,
1255                MATOP_MULT_TRANSPOSE=5,
1256                MATOP_MULT_TRANSPOSE_ADD=6,
1257                MATOP_SOLVE=7,
1258                MATOP_SOLVE_ADD=8,
1259                MATOP_SOLVE_TRANSPOSE=9,
1260                MATOP_SOLVE_TRANSPOSE_ADD=10,
1261                MATOP_LUFACTOR=11,
1262                MATOP_CHOLESKYFACTOR=12,
1263                MATOP_SOR=13,
1264                MATOP_TRANSPOSE=14,
1265                MATOP_GETINFO=15,
1266                MATOP_EQUAL=16,
1267                MATOP_GET_DIAGONAL=17,
1268                MATOP_DIAGONAL_SCALE=18,
1269                MATOP_NORM=19,
1270                MATOP_ASSEMBLY_BEGIN=20,
1271                MATOP_ASSEMBLY_END=21,
1272                MATOP_SET_OPTION=22,
1273                MATOP_ZERO_ENTRIES=23,
1274                MATOP_ZERO_ROWS=24,
1275                MATOP_LUFACTOR_SYMBOLIC=25,
1276                MATOP_LUFACTOR_NUMERIC=26,
1277                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1278                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1279                MATOP_SETUP_PREALLOCATION=29,
1280                MATOP_ILUFACTOR_SYMBOLIC=30,
1281                MATOP_ICCFACTOR_SYMBOLIC=31,
1282                MATOP_GET_ARRAY=32,
1283                MATOP_RESTORE_ARRAY=33,
1284                MATOP_DUPLICATE=34,
1285                MATOP_FORWARD_SOLVE=35,
1286                MATOP_BACKWARD_SOLVE=36,
1287                MATOP_ILUFACTOR=37,
1288                MATOP_ICCFACTOR=38,
1289                MATOP_AXPY=39,
1290                MATOP_GET_SUBMATRICES=40,
1291                MATOP_INCREASE_OVERLAP=41,
1292                MATOP_GET_VALUES=42,
1293                MATOP_COPY=43,
1294                MATOP_GET_ROW_MAX=44,
1295                MATOP_SCALE=45,
1296                MATOP_SHIFT=46,
1297                MATOP_DIAGONAL_SET=47,
1298                MATOP_ILUDT_FACTOR=48,
1299                MATOP_SET_BLOCK_SIZE=49,
1300                MATOP_GET_ROW_IJ=50,
1301                MATOP_RESTORE_ROW_IJ=51,
1302                MATOP_GET_COLUMN_IJ=52,
1303                MATOP_RESTORE_COLUMN_IJ=53,
1304                MATOP_FDCOLORING_CREATE=54,
1305                MATOP_COLORING_PATCH=55,
1306                MATOP_SET_UNFACTORED=56,
1307                MATOP_PERMUTE=57,
1308                MATOP_SET_VALUES_BLOCKED=58,
1309                MATOP_GET_SUBMATRIX=59,
1310                MATOP_DESTROY=60,
1311                MATOP_VIEW=61,
1312                MATOP_CONVERT_FROM=62,
1313                MATOP_MATMAT_MULT=63,
1314                MATOP_MATMAT_MULT_SYMBOLIC=64,
1315                MATOP_MATMAT_MULT_NUMERIC=65,
1316                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1317                MATOP_SET_VALUES_LOCAL=67,
1318                MATOP_ZERO_ROWS_LOCAL=68,
1319                MATOP_GET_ROW_MAX_ABS=69,
1320                MATOP_GET_ROW_MIN_ABS=70,
1321                MATOP_CONVERT=71,
1322                MATOP_SET_COLORING=72,
1323                MATOP_PLACEHOLDER=73,
1324                MATOP_SET_VALUES_ADIFOR=74,
1325                MATOP_FD_COLORING_APPLY=75,
1326                MATOP_SET_FROM_OPTIONS=76,
1327                MATOP_MULT_CONSTRAINED=77,
1328                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1329                MATOP_PERMUTE_SPARSIFY=79,
1330                MATOP_MULT_MULTIPLE=80,
1331                MATOP_SOLVE_MULTIPLE=81,
1332                MATOP_GET_INERTIA=82,
1333                MATOP_LOAD=83,
1334                MATOP_IS_SYMMETRIC=84,
1335                MATOP_IS_HERMITIAN=85,
1336                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1337                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1338                MATOP_GET_VECS=88,
1339                MATOP_MAT_MULT=89,
1340                MATOP_MAT_MULT_SYMBOLIC=90,
1341                MATOP_MAT_MULT_NUMERIC=91,
1342                MATOP_PTAP=92,
1343                MATOP_PTAP_SYMBOLIC=93,
1344                MATOP_PTAP_NUMERIC=94,
1345                MATOP_MAT_TRANSPOSE_MULT=95,
1346                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1347                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1348                MATOP_DUMMY98=98,
1349                MATOP_DUMMY99=99,
1350                MATOP_DUMMY100=100,
1351                MATOP_DUMMY101=101,
1352                MATOP_CONJUGATE=102,
1353                MATOP_SET_SIZES=103,
1354                MATOP_SET_VALUES_ROW=104,
1355                MATOP_REAL_PART=105,
1356                MATOP_IMAGINARY_PART=106,
1357                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1358                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1359                MATOP_MAT_SOLVE=109,
1360                MATOP_GET_REDUNDANT_MATRIX=110,
1361                MATOP_GET_ROW_MIN=111,
1362                MATOP_GET_COLUMN_VECTOR=112,
1363                MATOP_MISSING_DIAGONAL=113,
1364                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1365                MATOP_CREATE=115,
1366                MATOP_GET_GHOSTS=116,
1367                MATOP_GET_LOCAL_SUB_MATRIX=117,
1368                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1369                MATOP_MULT_DIAGONAL_BLOCK=119,
1370                MATOP_HERMITIAN_TRANSPOSE=120,
1371                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1372                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1373                MATOP_GET_MULTI_PROC_BLOCK=123,
1374                MATOP_GET_COLUMN_NORMS=125,
1375                MATOP_GET_SUB_MATRICES_PARALLE=128,
1376                MATOP_SET_VALUES_BATCH=129,
1377                MATOP_TRANSPOSE_MAT_MULT=130,
1378                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1379                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1380                MATOP_TRANSPOSE_COLORING_CREAT=133,
1381                MATOP_TRANS_COLORING_APPLY_SPT=134,
1382                MATOP_TRANS_COLORING_APPLY_DEN=135,
1383                MATOP_RART=136,
1384                MATOP_RART_SYMBOLIC=137,
1385                MATOP_RART_NUMERIC=138,
1386                MATOP_SET_BLOCK_SIZES=139,
1387                MATOP_AYPX=140
1388              } MatOperation;
1389 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1390 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1391 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1392 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1393 
1394 /*
1395    Codes for matrices stored on disk. By default they are
1396    stored in a universal format. By changing the format with
1397    PetscViewerSetFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1398    be stored in a way natural for the matrix, for example dense matrices
1399    would be stored as dense. Matrices stored this way may only be
1400    read into matrices of the same type.
1401 */
1402 #define MATRIX_BINARY_FORMAT_DENSE -1
1403 
1404 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1405 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1406 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1407 
1408 /*S
1409      MatNullSpace - Object that removes a null space from a vector, i.e.
1410          orthogonalizes the vector to a subsapce
1411 
1412    Level: advanced
1413 
1414   Concepts: matrix; linear operator, null space
1415 
1416   Users manual sections:
1417 .   sec_singular
1418 
1419 .seealso:  MatNullSpaceCreate()
1420 S*/
1421 typedef struct _p_MatNullSpace* MatNullSpace;
1422 
1423 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1424 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1425 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1426 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1427 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1428 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1429 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1430 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1431 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1432 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1433 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1434 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1435 
1436 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1437 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1438 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1439 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1440 
1441 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1442 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1443 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1444 
1445 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1446 
1447 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1448 
1449 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1450 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1451 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1452 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1453 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1454 PETSC_EXTERN PetscErrorCode MatMFFDAddNullSpace(Mat,MatNullSpace);
1455 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1456 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1457 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1458 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1459 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1460 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1461 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1462 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1463 
1464 /*S
1465     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1466               Jacobian vector products
1467 
1468     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1469 
1470            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1471 
1472     Level: developer
1473 
1474 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1475 S*/
1476 typedef struct _p_MatMFFD* MatMFFD;
1477 
1478 /*J
1479     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1480 
1481    Level: beginner
1482 
1483 .seealso: MatMFFDSetType(), MatMFFDRegister()
1484 J*/
1485 typedef const char* MatMFFDType;
1486 #define MATMFFD_DS  "ds"
1487 #define MATMFFD_WP  "wp"
1488 
1489 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1490 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1491 
1492 PETSC_EXTERN PetscErrorCode MatMFFDRegisterAll(void);
1493 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1494 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1495 
1496 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1497 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1498 
1499 /*
1500    PETSc interface to MUMPS
1501 */
1502 #ifdef PETSC_HAVE_MUMPS
1503 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1504 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1505 #endif
1506 
1507 /*
1508    PETSc interface to SUPERLU
1509 */
1510 #ifdef PETSC_HAVE_SUPERLU
1511 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1512 #endif
1513 
1514 #if defined PETSC_HAVE_TXPETSCGPU
1515 
1516 /*E
1517     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1518     matrices. Requires the txpetscgpu package to use. Configure with
1519     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1520 
1521     Not Collective
1522 
1523 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1524 .   MAT_CUSPARSE_ELL - Ellpack
1525 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format.
1526 
1527     Level: intermediate
1528 
1529    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1530 
1531 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1532 E*/
1533 
1534 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1535 
1536 /* these will be strings associated with enumerated type defined above */
1537 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1538 
1539 /*E
1540     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1541     matrices whose operation should use a particular storage format. Requires
1542     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1543     build/install petsc with the txpetscgpu library.
1544 
1545     Not Collective
1546 
1547 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1548 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1549 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1550 .   MAT_CUSPARSE_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1551 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1552 
1553     Level: intermediate
1554 
1555 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1556 E*/
1557 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_SOLVE, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1558 
1559 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1560 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1561 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1562 
1563 #endif
1564 
1565 #if defined(PETSC_HAVE_CUSP)
1566 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1567 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1568 
1569 /*E
1570     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1571     matrices. Requires the txpetscgpu package to use. Configure with
1572     --download-txpetscgpu to build/install petsc with the txpetscgpu library.
1573 
1574     Not Collective
1575 
1576 +   MAT_CUSP_CSR - Compressed Sparse Row
1577 .   MAT_CUSP_DIA - Diagonal
1578 -   MAT_CUSP_ELL - Ellpack
1579 
1580     Level: intermediate
1581 
1582    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1583 
1584 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1585 E*/
1586 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1587 
1588 /* these will be strings associated with enumerated type defined above */
1589 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1590 
1591 /*E
1592     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1593     matrices whose operation should use a particular storage format. Requires
1594     the txpetscgpu package to use. Configure with --download-txpetscgpu to
1595     build/install petsc with the txpetscgpu library.
1596 
1597     Not Collective
1598 
1599 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1600 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1601 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1602 .   MAT_CUSP_SOLVE - sets the storage format for the triangular factors in the serial (single GPU) MatSolve
1603 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1604 
1605     Level: intermediate
1606 
1607    Any additions/changes here MUST also be made in include/finclude/petscmat.h
1608 
1609 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1610 E*/
1611 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_SOLVE, MAT_CUSP_ALL} MatCUSPFormatOperation;
1612 
1613 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1614 #endif
1615 
1616 /*
1617    PETSc interface to FFTW
1618 */
1619 #if defined(PETSC_HAVE_FFTW)
1620 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1621 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1622 PETSC_EXTERN PetscErrorCode MatGetVecsFFTW(Mat,Vec*,Vec*,Vec*);
1623 #endif
1624 
1625 #if defined(PETSC_HAVE_ELEMENTAL)
1626 PETSC_EXTERN PetscErrorCode PetscElementalInitializePackage(void);
1627 PETSC_EXTERN PetscErrorCode PetscElementalFinalizePackage(void);
1628 #endif
1629 
1630 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1631 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1632 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1633 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1634 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1635 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1636 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1637 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1638 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1639 
1640 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1641 
1642 #endif
1643