xref: /petsc/include/petscmat.h (revision fa2f3a98544cffa8147e57031dd6780dd55215d2)
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, MatSolverType, 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 MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSPARSE     "aijcusparse"
40 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
41 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
42 #define MATAIJVIENNACL     "aijviennacl"
43 #define MATSEQAIJVIENNACL  "seqaijviennacl"
44 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
45 #define MATAIJPERM         "aijperm"
46 #define MATSEQAIJPERM      "seqaijperm"
47 #define MATMPIAIJPERM      "mpiaijperm"
48 #define MATAIJMKL          "aijmkl"
49 #define MATSEQAIJMKL       "seqaijmkl"
50 #define MATMPIAIJMKL       "mpiaijmkl"
51 #define MATBAIJMKL         "baijmkl"
52 #define MATSEQBAIJMKL      "seqbaijmkl"
53 #define MATMPIBAIJMKL      "mpibaijmkl"
54 #define MATSHELL           "shell"
55 #define MATDENSE           "dense"
56 #define MATSEQDENSE        "seqdense"
57 #define MATMPIDENSE        "mpidense"
58 #define MATELEMENTAL       "elemental"
59 #define MATBAIJ            "baij"
60 #define MATSEQBAIJ         "seqbaij"
61 #define MATMPIBAIJ         "mpibaij"
62 #define MATMPIADJ          "mpiadj"
63 #define MATSBAIJ           "sbaij"
64 #define MATSEQSBAIJ        "seqsbaij"
65 #define MATMPISBAIJ        "mpisbaij"
66 #define MATDAAD            "daad"
67 #define MATMFFD            "mffd"
68 #define MATNORMAL          "normal"
69 #define MATNORMALHERMITIAN "normalh"
70 #define MATLRC             "lrc"
71 #define MATSCATTER         "scatter"
72 #define MATBLOCKMAT        "blockmat"
73 #define MATCOMPOSITE       "composite"
74 #define MATFFT             "fft"
75 #define MATFFTW            "fftw"
76 #define MATSEQCUFFT        "seqcufft"
77 #define MATTRANSPOSEMAT    "transpose"
78 #define MATSCHURCOMPLEMENT "schurcomplement"
79 #define MATPYTHON          "python"
80 #define MATHYPRE           "hypre"
81 #define MATHYPRESTRUCT     "hyprestruct"
82 #define MATHYPRESSTRUCT    "hypresstruct"
83 #define MATSUBMATRIX       "submatrix"
84 #define MATLOCALREF        "localref"
85 #define MATNEST            "nest"
86 #define MATPREALLOCATOR    "preallocator"
87 #define MATSELL            "sell"
88 #define MATSEQSELL         "seqsell"
89 #define MATMPISELL         "mpisell"
90 #define MATDUMMY           "dummy"
91 
92 /*J
93     MatSolverType - String with the name of a PETSc matrix solver type.
94 
95     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 typedef const char* MatSolverType;
102 #define MATSOLVERSUPERLU          "superlu"
103 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
104 #define MATSOLVERSTRUMPACK        "strumpack"
105 #define MATSOLVERUMFPACK          "umfpack"
106 #define MATSOLVERCHOLMOD          "cholmod"
107 #define MATSOLVERKLU              "klu"
108 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
109 #define MATSOLVERELEMENTAL        "elemental"
110 #define MATSOLVERESSL             "essl"
111 #define MATSOLVERLUSOL            "lusol"
112 #define MATSOLVERMUMPS            "mumps"
113 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
114 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
115 #define MATSOLVERPASTIX           "pastix"
116 #define MATSOLVERMATLAB           "matlab"
117 #define MATSOLVERPETSC            "petsc"
118 #define MATSOLVERBAS              "bas"
119 #define MATSOLVERCUSPARSE         "cusparse"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
127 
128 .seealso: MatSolverType, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
138 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
139 
140 /* Logging support */
141 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
142 PETSC_EXTERN PetscClassId MAT_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
149 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
150 
151 /*E
152     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
153      are to be reused to store the new matrix values.
154 
155 $  MAT_INITIAL_MATRIX - create a new matrix
156 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
157 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
158 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
159 
160     Level: beginner
161 
162    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
163 
164 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
165 E*/
166 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
167 
168 /*E
169     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
170      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
171 
172     Level: beginner
173 
174 .seealso: MatGetSeqNonzerostructure()
175 E*/
176 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
177 
178 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
179 
180 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
181 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
182 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
183 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
184 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
185 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
186 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
187 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
188 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
189 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
190 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
191 
192 PETSC_EXTERN PetscFunctionList MatList;
193 PETSC_EXTERN PetscFunctionList MatColoringList;
194 PETSC_EXTERN PetscFunctionList MatPartitioningList;
195 
196 /*E
197     MatStructure - Indicates if two matrices have the same nonzero structure
198 
199     Level: beginner
200 
201    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
202 
203 .seealso: MatCopy(), MatAXPY()
204 E*/
205 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
206 
207 #if defined PETSC_HAVE_MKL_SPARSE
208 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A);
210 #endif
211 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
214 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
221 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
227 
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
233 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
234 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
235 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
236 
237 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
241 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
247 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
248 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
249 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
251 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
252 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
253 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
254 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
255 
256 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
260 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
263 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
264 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
265 
266 #if defined(PETSC_HAVE_HYPRE)
267 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
268 #endif
269 
270 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
271 
272 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
273 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
274 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
275 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
276 
277 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
278 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
279 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
280 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
281 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
282 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
283 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
284 
285 /* ------------------------------------------------------------*/
286 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
289 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
290 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
291 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
292 
293 /*S
294      MatStencil - Data structure (C struct) for storing information about a single row or
295         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
296 
297    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
298    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
299 
300    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
301 
302    Fortran usage is different, see MatSetValuesStencil() for details.
303 
304    Level: beginner
305 
306   Concepts: matrix; linear operator
307 
308 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
309 S*/
310 typedef struct {
311   PetscInt k,j,i,c;
312 } MatStencil;
313 
314 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
315 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
316 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
317 
318 /*E
319     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
320      to continue to add or insert values to it
321 
322     Level: beginner
323 
324 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
325 E*/
326 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
327 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
328 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
329 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
330 
331 
332 
333 /*E
334     MatOption - Options that may be set for a matrix and its behavior or storage
335 
336     Level: beginner
337 
338    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
339    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
340 
341    Developer Notes:
342     Entries that are negative need not be called collectively by all processes.
343 
344 .seealso: MatSetOption()
345 E*/
346 typedef enum {MAT_OPTION_MIN = -3,
347               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
348               MAT_ROW_ORIENTED = -1,
349               MAT_SYMMETRIC = 1,
350               MAT_STRUCTURALLY_SYMMETRIC = 2,
351               MAT_NEW_DIAGONALS = 3,
352               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
353               MAT_USE_HASH_TABLE = 5,
354               MAT_KEEP_NONZERO_PATTERN = 6,
355               MAT_IGNORE_ZERO_ENTRIES = 7,
356               MAT_USE_INODES = 8,
357               MAT_HERMITIAN = 9,
358               MAT_SYMMETRY_ETERNAL = 10,
359               MAT_NEW_NONZERO_LOCATION_ERR = 11,
360               MAT_IGNORE_LOWER_TRIANGULAR = 12,
361               MAT_ERROR_LOWER_TRIANGULAR = 13,
362               MAT_GETROW_UPPERTRIANGULAR = 14,
363               MAT_SPD = 15,
364               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
365               MAT_NO_OFF_PROC_ENTRIES = 17,
366               MAT_NEW_NONZERO_LOCATIONS = 18,
367               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
368               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
369               MAT_SUBMAT_SINGLEIS = 21,
370               MAT_STRUCTURE_ONLY = 22,
371               MAT_OPTION_MAX = 23} MatOption;
372 
373 PETSC_EXTERN const char *const *MatOptions;
374 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
375 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
376 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
377 
378 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
379 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
381 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
383 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
384 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
385 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
386 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
388 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
389 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
390 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
391 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
392 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
393 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
394 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
395 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
396 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
397 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
398 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
399 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
400 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
401 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
402 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
403 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
404 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
405 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
406 
407 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
408 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
409 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
410 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
411 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
412 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
415 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
416 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
417 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
418 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
419 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
420 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
421 
422 /*E
423     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
424   its numerical values copied over or just its nonzero structure.
425 
426     Level: beginner
427 
428    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
429 
430 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
431 $                               with zeros for the numerical values.
432 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
433 $                               and with the same numerical values.
434 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
435 $                               and does not copy it, using zeros for the numerical values. The parent and
436 $                               child matrices will share their index (i and j) arrays, and you cannot
437 $                               insert new nonzero entries into either matrix.
438 
439 Notes:
440     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
441 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
442 
443 .seealso: MatDuplicate()
444 E*/
445 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
446 
447 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
448 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
449 
450 
451 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
452 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
453 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
454 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
455 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
456 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
457 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
458 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
459 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
460 
461 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
462 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
463 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
464 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
465 
466 /*S
467      MatInfo - Context of matrix information, used with MatGetInfo()
468 
469    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
470 
471    Level: intermediate
472 
473   Concepts: matrix^nonzero information
474 
475 .seealso:  MatGetInfo(), MatInfoType
476 S*/
477 typedef struct {
478   PetscLogDouble block_size;                         /* block size */
479   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
480   PetscLogDouble memory;                             /* memory allocated */
481   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
482   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
483   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
484   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
485 } MatInfo;
486 
487 /*E
488     MatInfoType - Indicates if you want information about the local part of the matrix,
489      the entire parallel matrix or the maximum over all the local parts.
490 
491     Level: beginner
492 
493    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
494 
495 .seealso: MatGetInfo(), MatInfo
496 E*/
497 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
498 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
499 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
500 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
501 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
502 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
503 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
504 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
505 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
508 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
509 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
510 
511 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
512 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
513 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
514 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
515 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
516 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
517 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
518 
519 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
520 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
521 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
522 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
523 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
524 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
525 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
526 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
527 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
528 
529 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
530 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
531 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
532 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
533 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
534 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
535 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
536 
537 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
538 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
539 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
540 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
541 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
542 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
543 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
544 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
545 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
546 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
547 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
548 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
549 
550 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
551 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
552 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
553 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
554 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
555 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
556 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
557 
558 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
559 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
560 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
561 
562 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
563 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
564 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
565 
566 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
567 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
568 
569 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
570 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
571 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
572 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
573 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
574 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
575 
576 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
577 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
578 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
579 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
580 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
581 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
582 
583 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
584 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
585 
586 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
587 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
588 
589 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
590 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
591 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
592 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
593 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
594 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
595 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
596 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
597 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
598 
599 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
600 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
601 
602 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
603 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
604 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
605 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
606 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
607 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
608 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
609 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
610 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
611 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
612 
613 /*MC
614    MatSetValue - Set a single entry into a matrix.
615 
616    Not collective
617 
618    Synopsis:
619      #include <petscmat.h>
620      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
621 
622    Input Parameters:
623 +  m - the matrix
624 .  row - the row location of the entry
625 .  col - the column location of the entry
626 .  value - the value to insert
627 -  mode - either INSERT_VALUES or ADD_VALUES
628 
629    Notes:
630    For efficiency one should use MatSetValues() and set several or many
631    values simultaneously if possible.
632 
633    Level: beginner
634 
635 .seealso: MatSetValues(), MatSetValueLocal()
636 M*/
637 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
638 
639 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
640 
641 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
642 
643 /*MC
644    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
645        row in a matrix providing the data that one can use to correctly preallocate the matrix.
646 
647    Synopsis:
648    #include <petscmat.h>
649    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
650 
651    Collective on MPI_Comm
652 
653    Input Parameters:
654 +  comm - the communicator that will share the eventually allocated matrix
655 .  nrows - the number of LOCAL rows in the matrix
656 -  ncols - the number of LOCAL columns in the matrix
657 
658    Output Parameters:
659 +  dnz - the array that will be passed to the matrix preallocation routines
660 -  ozn - the other array passed to the matrix preallocation routines
661 
662    Level: intermediate
663 
664    Notes:
665     See Users-Manual: ch_performance for more details.
666 
667    Do not malloc or free dnz and onz, that is handled internally by these routines
668 
669    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
670 
671    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
672 
673   Concepts: preallocation^Matrix
674 
675 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
676           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
677 M*/
678 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
679 { \
680   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
681   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
682   __start = 0; __end = __start;                                         \
683   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
684   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
685 
686 /*MC
687    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
688        inserted using a local number of the rows and columns
689 
690    Synopsis:
691    #include <petscmat.h>
692    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
693 
694    Not Collective
695 
696    Input Parameters:
697 +  map - the row mapping from local numbering to global numbering
698 .  nrows - the number of rows indicated
699 .  rows - the indices of the rows
700 .  cmap - the column mapping from local to global numbering
701 .  ncols - the number of columns in the matrix
702 .  cols - the columns indicated
703 .  dnz - the array that will be passed to the matrix preallocation routines
704 -  ozn - the other array passed to the matrix preallocation routines
705 
706    Level: intermediate
707 
708    Notes:
709     See Users-Manual: ch_performance for more details.
710 
711    Do not malloc or free dnz and onz, that is handled internally by these routines
712 
713   Concepts: preallocation^Matrix
714 
715 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
716           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
717 M*/
718 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
719 {\
720   PetscInt __l;\
721   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
722   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
723   for (__l=0;__l<nrows;__l++) {\
724     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
725   }\
726 }
727 
728 /*MC
729    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
730        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
731 
732    Synopsis:
733    #include <petscmat.h>
734    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
735 
736    Not Collective
737 
738    Input Parameters:
739 +  map - the row mapping from local numbering to global numbering
740 .  nrows - the number of rows indicated
741 .  rows - the indices of the rows (these values are mapped to the global values)
742 .  cmap - the column mapping from local to global numbering
743 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
744 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
745 .  dnz - the array that will be passed to the matrix preallocation routines
746 -  ozn - the other array passed to the matrix preallocation routines
747 
748    Level: intermediate
749 
750    Notes:
751     See Users-Manual: ch_performance for more details.
752 
753    Do not malloc or free dnz and onz, that is handled internally by these routines
754 
755   Concepts: preallocation^Matrix
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
758           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
759 M*/
760 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
761 {\
762   PetscInt __l;\
763   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
764   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
765   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
766   for (__l=0;__l<nrows;__l++) {\
767     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
768   }\
769 }
770 
771 /*MC
772    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
773        inserted using a local number of the rows and columns
774 
775    Synopsis:
776    #include <petscmat.h>
777    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
778 
779    Not Collective
780 
781    Input Parameters:
782 +  map - the row mapping from local numbering to global numbering
783 .  nrows - the number of rows indicated
784 .  rows - the indices of the rows
785 .  cmap - the column mapping from local to global numbering
786 .  ncols - the number of columns in the matrix
787 .  cols - the columns indicated
788 .  dnz - the array that will be passed to the matrix preallocation routines
789 -  ozn - the other array passed to the matrix preallocation routines
790 
791    Level: intermediate
792 
793    Notes:
794     See Users-Manual: ch_performance for more details.
795 
796    Do not malloc or free dnz and onz, that is handled internally by these routines
797 
798   Concepts: preallocation^Matrix
799 
800 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
801           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
802 M*/
803 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
804 {\
805   PetscInt __l;\
806   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
807   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
808   for (__l=0;__l<nrows;__l++) {\
809     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
810   }\
811 }
812 
813 /*MC
814    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
815        inserted using a local number of the rows and columns
816 
817    Synopsis:
818    #include <petscmat.h>
819    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
820 
821    Not Collective
822 
823    Input Parameters:
824 +  map - the mapping between local numbering and global numbering
825 .  nrows - the number of rows indicated
826 .  rows - the indices of the rows
827 .  ncols - the number of columns in the matrix
828 .  cols - the columns indicated
829 .  dnz - the array that will be passed to the matrix preallocation routines
830 -  ozn - the other array passed to the matrix preallocation routines
831 
832    Level: intermediate
833 
834    Notes:
835     See Users-Manual: ch_performance for more details.
836 
837    Do not malloc or free dnz and onz that is handled internally by these routines
838 
839   Concepts: preallocation^Matrix
840 
841 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
842           MatPreallocateInitialize(),  MatPreallocateSetLocal()
843 M*/
844 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
845 {\
846   PetscInt __l;\
847   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
848   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
849   for (__l=0;__l<nrows;__l++) {\
850     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
851   }\
852 }
853 /*MC
854    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
855        inserted using a local number of the rows and columns
856 
857    Synopsis:
858    #include <petscmat.h>
859    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
860 
861    Not Collective
862 
863    Input Parameters:
864 +  row - the row
865 .  ncols - the number of columns in the matrix
866 -  cols - the columns indicated
867 
868    Output Parameters:
869 +  dnz - the array that will be passed to the matrix preallocation routines
870 -  ozn - the other array passed to the matrix preallocation routines
871 
872    Level: intermediate
873 
874    Notes:
875     See Users-Manual: ch_performance for more details.
876 
877    Do not malloc or free dnz and onz that is handled internally by these routines
878 
879    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
880 
881   Concepts: preallocation^Matrix
882 
883 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
884           MatPreallocateInitialize(), MatPreallocateSetLocal()
885 M*/
886 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
887 { PetscInt __i; \
888   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);\
889   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);\
890   for (__i=0; __i<nc; __i++) {\
891     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
892     else dnz[row - __rstart]++;\
893   }\
894 }
895 
896 /*MC
897    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
898        inserted using a local number of the rows and columns
899 
900    Synopsis:
901    #include <petscmat.h>
902    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
903 
904    Not Collective
905 
906    Input Parameters:
907 +  nrows - the number of rows indicated
908 .  rows - the indices of the rows
909 .  ncols - the number of columns in the matrix
910 .  cols - the columns indicated
911 .  dnz - the array that will be passed to the matrix preallocation routines
912 -  ozn - the other array passed to the matrix preallocation routines
913 
914    Level: intermediate
915 
916    Notes:
917     See Users-Manual: ch_performance for more details.
918 
919    Do not malloc or free dnz and onz that is handled internally by these routines
920 
921    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
922 
923   Concepts: preallocation^Matrix
924 
925 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
926           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
927 M*/
928 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
929 { PetscInt __i; \
930   for (__i=0; __i<nc; __i++) {\
931     if (cols[__i] >= __end) onz[row - __rstart]++; \
932     else if (cols[__i] >= row) dnz[row - __rstart]++;\
933   }\
934 }
935 
936 /*MC
937    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
938 
939    Synopsis:
940    #include <petscmat.h>
941    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
942 
943    Not Collective
944 
945    Input Parameters:
946 .  A - matrix
947 .  row - row where values exist (must be local to this process)
948 .  ncols - number of columns
949 .  cols - columns with nonzeros
950 .  dnz - the array that will be passed to the matrix preallocation routines
951 -  ozn - the other array passed to the matrix preallocation routines
952 
953    Level: intermediate
954 
955    Notes:
956     See Users-Manual: ch_performance for more details.
957 
958    Do not malloc or free dnz and onz that is handled internally by these routines
959 
960    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
961 
962   Concepts: preallocation^Matrix
963 
964 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
965           MatPreallocateSymmetricSetLocalBlock()
966 M*/
967 #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);}
968 
969 
970 /*MC
971    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
972        row in a matrix providing the data that one can use to correctly preallocate the matrix.
973 
974    Synopsis:
975    #include <petscmat.h>
976    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
977 
978    Collective on MPI_Comm
979 
980    Input Parameters:
981 +  dnz - the array that was be passed to the matrix preallocation routines
982 -  ozn - the other array passed to the matrix preallocation routines
983 
984    Level: intermediate
985 
986    Notes:
987     See Users-Manual: ch_performance for more details.
988 
989    Do not malloc or free dnz and onz that is handled internally by these routines
990 
991    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
992 
993   Concepts: preallocation^Matrix
994 
995 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
996           MatPreallocateSymmetricSetLocalBlock()
997 M*/
998 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
999 
1000 /* Routines unique to particular data structures */
1001 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1002 
1003 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1004 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1005 
1006 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1007 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1008 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1009 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1010 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1011 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1012 
1013 #define MAT_SKIP_ALLOCATION -4
1014 
1015 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1016 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1017 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1018 
1019 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1020 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1021 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1022 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1023 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1024 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1025 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1026 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1027 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1028 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1029 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1030 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1031 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1032 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1033 
1034 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1035 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1036 
1037 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1038 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1039 
1040 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1041 
1042 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1043 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1044 /*
1045   These routines are not usually accessed directly, rather solving is
1046   done through the KSP and PC interfaces.
1047 */
1048 
1049 /*J
1050     MatOrderingType - String with the name of a PETSc matrix ordering
1051 
1052    Level: beginner
1053 
1054 .seealso: MatGetOrdering()
1055 J*/
1056 typedef const char* MatOrderingType;
1057 #define MATORDERINGNATURAL     "natural"
1058 #define MATORDERINGND          "nd"
1059 #define MATORDERING1WD         "1wd"
1060 #define MATORDERINGRCM         "rcm"
1061 #define MATORDERINGQMD         "qmd"
1062 #define MATORDERINGROWLENGTH   "rowlength"
1063 #define MATORDERINGWBM         "wbm"
1064 #define MATORDERINGSPECTRAL    "spectral"
1065 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1066 
1067 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1068 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1069 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1070 PETSC_EXTERN PetscFunctionList MatOrderingList;
1071 
1072 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1073 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1074 
1075 /*S
1076     MatFactorShiftType - Numeric Shift.
1077 
1078    Level: beginner
1079 
1080 S*/
1081 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1082 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1083 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1084 
1085 /*S
1086     MatFactorError - indicates what type of error in matrix factor
1087 
1088     Level: beginner
1089 
1090     Developer Notes:
1091     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1092 
1093 .seealso: MatGetFactor()
1094 S*/
1095 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1096 
1097 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1098 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1099 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1100 
1101 /*S
1102    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1103 
1104    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1105 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1106 
1107    Notes:
1108     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1109 
1110       You can use MatFactorInfoInitialize() to set default values.
1111 
1112    Level: developer
1113 
1114 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1115           MatFactorInfoInitialize()
1116 
1117 S*/
1118 typedef struct {
1119   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1120   PetscReal     usedt;
1121   PetscReal     dt;             /* drop tolerance */
1122   PetscReal     dtcol;          /* tolerance for pivoting */
1123   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1124   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1125   PetscReal     levels;         /* ICC/ILU(levels) */
1126   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1127                                    factorization may be faster if do not pivot */
1128   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1129   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1130   PetscReal     shiftamount;     /* how large the shift is */
1131 } MatFactorInfo;
1132 
1133 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1134 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1135 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1136 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1137 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1138 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1139 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1140 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1141 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1142 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1143 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1144 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1145 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1146 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1147 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1148 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1149 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1150 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1151 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1152 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1153 
1154 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1155 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1156 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1157 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1158 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1159 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1160 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1161 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1162 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1163 
1164 /*E
1165     MatSORType - What type of (S)SOR to perform
1166 
1167     Level: beginner
1168 
1169    May be bitwise ORd together
1170 
1171    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1172 
1173    MatSORType may be bitwise ORd together, so do not change the numbers
1174 
1175 .seealso: MatSOR()
1176 E*/
1177 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1178               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1179               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1180               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1181 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1182 
1183 /*
1184     These routines are for efficiently computing Jacobians via finite differences.
1185 */
1186 
1187 /*S
1188      MatColoring - Object for managing the coloring of matrices.
1189 
1190    Level: beginner
1191 
1192   Concepts: matrix, coloring
1193 
1194 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1195 S*/
1196 typedef struct _p_MatColoring* MatColoring;
1197 /*J
1198     MatColoringType - String with the name of a PETSc matrix coloring
1199 
1200    Level: beginner
1201 
1202 .seealso: MatColoringSetType(), MatColoring
1203 J*/
1204 
1205 typedef const  char*           MatColoringType;
1206 #define MATCOLORINGJP      "jp"
1207 #define MATCOLORINGPOWER   "power"
1208 #define MATCOLORINGNATURAL "natural"
1209 #define MATCOLORINGSL      "sl"
1210 #define MATCOLORINGLF      "lf"
1211 #define MATCOLORINGID      "id"
1212 #define MATCOLORINGGREEDY  "greedy"
1213 
1214 /*E
1215    MatColoringWeightType - Type of weight scheme
1216 
1217     Not Collective
1218 
1219 +   MAT_COLORING_RANDOM  - Random weights
1220 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1221 -   MAT_COLORING_LF      - Last-first weighting.
1222 
1223     Level: intermediate
1224 
1225    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1226 E*/
1227 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1228 
1229 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1230 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1231 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1232 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1233 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1234 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1235 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1236 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1237 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1238 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1239 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1240 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1241 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1242 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1243 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1244 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1245 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1246 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1247 
1248 /*S
1249      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1250         and coloring
1251 
1252    Level: beginner
1253 
1254   Concepts: coloring, sparse Jacobian, finite differences
1255 
1256 .seealso:  MatFDColoringCreate()
1257 S*/
1258 typedef struct _p_MatFDColoring* MatFDColoring;
1259 
1260 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1261 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1262 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1263 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1264 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1265 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1266 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1267 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1268 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1269 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1270 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1271 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1272 
1273 
1274 /*S
1275      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1276 
1277    Level: beginner
1278 
1279   Concepts: coloring, sparse matrix product
1280 
1281 .seealso:  MatTransposeColoringCreate()
1282 S*/
1283 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1284 
1285 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1286 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1287 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1288 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1289 
1290 /*
1291     These routines are for partitioning matrices: currently used only
1292   for adjacency matrix, MatCreateMPIAdj().
1293 */
1294 
1295 /*S
1296      MatPartitioning - Object for managing the partitioning of a matrix or graph
1297 
1298    Level: beginner
1299 
1300   Concepts: partitioning
1301 
1302 .seealso:  MatPartitioningCreate(), MatPartitioningType
1303 S*/
1304 typedef struct _p_MatPartitioning* MatPartitioning;
1305 
1306 /*J
1307     MatPartitioningType - String with the name of a PETSc matrix partitioning
1308 
1309    Level: beginner
1310 dm
1311 .seealso: MatPartitioningCreate(), MatPartitioning
1312 J*/
1313 typedef const char* MatPartitioningType;
1314 #define MATPARTITIONINGCURRENT  "current"
1315 #define MATPARTITIONINGAVERAGE   "average"
1316 #define MATPARTITIONINGSQUARE   "square"
1317 #define MATPARTITIONINGPARMETIS "parmetis"
1318 #define MATPARTITIONINGCHACO    "chaco"
1319 #define MATPARTITIONINGPARTY    "party"
1320 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1321 #define MATPARTITIONINGHIERARCH  "hierarch"
1322 
1323 
1324 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1332 
1333 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1334 
1335 
1336 
1337 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1340 
1341 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1344 
1345 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1346 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1347 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1348 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1349 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1350 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1351 
1352 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1362 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1363 
1364 #define MP_PARTY_OPT "opt"
1365 #define MP_PARTY_LIN "lin"
1366 #define MP_PARTY_SCA "sca"
1367 #define MP_PARTY_RAN "ran"
1368 #define MP_PARTY_GBF "gbf"
1369 #define MP_PARTY_GCF "gcf"
1370 #define MP_PARTY_BUB "bub"
1371 #define MP_PARTY_DEF "def"
1372 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1373 #define MP_PARTY_HELPFUL_SETS "hs"
1374 #define MP_PARTY_KERNIGHAN_LIN "kl"
1375 #define MP_PARTY_NONE "no"
1376 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1378 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1379 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1380 
1381 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1382 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1383 
1384 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1385 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1387 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1388 
1389 /*
1390  * hierarchical partitioning
1391  */
1392 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1394 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1395 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1396 
1397 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1398 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1399 
1400 /*
1401     If you add entries here you must also add them to petsc/finclude/petscmat.h
1402 */
1403 typedef enum { MATOP_SET_VALUES=0,
1404                MATOP_GET_ROW=1,
1405                MATOP_RESTORE_ROW=2,
1406                MATOP_MULT=3,
1407                MATOP_MULT_ADD=4,
1408                MATOP_MULT_TRANSPOSE=5,
1409                MATOP_MULT_TRANSPOSE_ADD=6,
1410                MATOP_SOLVE=7,
1411                MATOP_SOLVE_ADD=8,
1412                MATOP_SOLVE_TRANSPOSE=9,
1413                MATOP_SOLVE_TRANSPOSE_ADD=10,
1414                MATOP_LUFACTOR=11,
1415                MATOP_CHOLESKYFACTOR=12,
1416                MATOP_SOR=13,
1417                MATOP_TRANSPOSE=14,
1418                MATOP_GETINFO=15,
1419                MATOP_EQUAL=16,
1420                MATOP_GET_DIAGONAL=17,
1421                MATOP_DIAGONAL_SCALE=18,
1422                MATOP_NORM=19,
1423                MATOP_ASSEMBLY_BEGIN=20,
1424                MATOP_ASSEMBLY_END=21,
1425                MATOP_SET_OPTION=22,
1426                MATOP_ZERO_ENTRIES=23,
1427                MATOP_ZERO_ROWS=24,
1428                MATOP_LUFACTOR_SYMBOLIC=25,
1429                MATOP_LUFACTOR_NUMERIC=26,
1430                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1431                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1432                MATOP_SETUP_PREALLOCATION=29,
1433                MATOP_ILUFACTOR_SYMBOLIC=30,
1434                MATOP_ICCFACTOR_SYMBOLIC=31,
1435                MATOP_GET_DIAGONAL_BLOCK=32,
1436                /* MATOP_PLACEHOLDER_33=33, */
1437                MATOP_DUPLICATE=34,
1438                MATOP_FORWARD_SOLVE=35,
1439                MATOP_BACKWARD_SOLVE=36,
1440                MATOP_ILUFACTOR=37,
1441                MATOP_ICCFACTOR=38,
1442                MATOP_AXPY=39,
1443                MATOP_CREATE_SUBMATRICES=40,
1444                MATOP_INCREASE_OVERLAP=41,
1445                MATOP_GET_VALUES=42,
1446                MATOP_COPY=43,
1447                MATOP_GET_ROW_MAX=44,
1448                MATOP_SCALE=45,
1449                MATOP_SHIFT=46,
1450                MATOP_DIAGONAL_SET=47,
1451                MATOP_ZERO_ROWS_COLUMNS=48,
1452                MATOP_SET_RANDOM=49,
1453                MATOP_GET_ROW_IJ=50,
1454                MATOP_RESTORE_ROW_IJ=51,
1455                MATOP_GET_COLUMN_IJ=52,
1456                MATOP_RESTORE_COLUMN_IJ=53,
1457                MATOP_FDCOLORING_CREATE=54,
1458                MATOP_COLORING_PATCH=55,
1459                MATOP_SET_UNFACTORED=56,
1460                MATOP_PERMUTE=57,
1461                MATOP_SET_VALUES_BLOCKED=58,
1462                MATOP_CREATE_SUBMATRIX=59,
1463                MATOP_DESTROY=60,
1464                MATOP_VIEW=61,
1465                MATOP_CONVERT_FROM=62,
1466                MATOP_MATMAT_MULT=63,
1467                MATOP_MATMAT_MULT_SYMBOLIC=64,
1468                MATOP_MATMAT_MULT_NUMERIC=65,
1469                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1470                MATOP_SET_VALUES_LOCAL=67,
1471                MATOP_ZERO_ROWS_LOCAL=68,
1472                MATOP_GET_ROW_MAX_ABS=69,
1473                MATOP_GET_ROW_MIN_ABS=70,
1474                MATOP_CONVERT=71,
1475                MATOP_SET_COLORING=72,
1476                /* MATOP_PLACEHOLDER_73=73, */
1477                MATOP_SET_VALUES_ADIFOR=74,
1478                MATOP_FD_COLORING_APPLY=75,
1479                MATOP_SET_FROM_OPTIONS=76,
1480                MATOP_MULT_CONSTRAINED=77,
1481                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1482                MATOP_FIND_ZERO_DIAGONALS=79,
1483                MATOP_MULT_MULTIPLE=80,
1484                MATOP_SOLVE_MULTIPLE=81,
1485                MATOP_GET_INERTIA=82,
1486                MATOP_LOAD=83,
1487                MATOP_IS_SYMMETRIC=84,
1488                MATOP_IS_HERMITIAN=85,
1489                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1490                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1491                MATOP_CREATE_VECS=88,
1492                MATOP_MAT_MULT=89,
1493                MATOP_MAT_MULT_SYMBOLIC=90,
1494                MATOP_MAT_MULT_NUMERIC=91,
1495                MATOP_PTAP=92,
1496                MATOP_PTAP_SYMBOLIC=93,
1497                MATOP_PTAP_NUMERIC=94,
1498                MATOP_MAT_TRANSPOSE_MULT=95,
1499                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1500                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1501                /* MATOP_PLACEHOLDER_98=98, */
1502                /* MATOP_PLACEHOLDER_99=99, */
1503                /* MATOP_PLACEHOLDER_100=100, */
1504                /* MATOP_PLACEHOLDER_101=101, */
1505                MATOP_CONJUGATE=102,
1506                /* MATOP_PLACEHOLDER_103=103, */
1507                MATOP_SET_VALUES_ROW=104,
1508                MATOP_REAL_PART=105,
1509                MATOP_IMAGINARY_PART=106,
1510                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1511                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1512                MATOP_MAT_SOLVE=109,
1513                MATOP_MAT_SOLVE_TRANSPOSE=110,
1514                MATOP_GET_ROW_MIN=111,
1515                MATOP_GET_COLUMN_VECTOR=112,
1516                MATOP_MISSING_DIAGONAL=113,
1517                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1518                MATOP_CREATE=115,
1519                MATOP_GET_GHOSTS=116,
1520                MATOP_GET_LOCAL_SUB_MATRIX=117,
1521                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1522                MATOP_MULT_DIAGONAL_BLOCK=119,
1523                MATOP_HERMITIAN_TRANSPOSE=120,
1524                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1525                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1526                MATOP_GET_MULTI_PROC_BLOCK=123,
1527                MATOP_FIND_NONZERO_ROWS=124,
1528                MATOP_GET_COLUMN_NORMS=125,
1529                MATOP_INVERT_BLOCK_DIAGONAL=126,
1530                /* MATOP_PLACEHOLDER_127=127, */
1531                MATOP_CREATE_SUB_MATRICES_MPI=128,
1532                MATOP_SET_VALUES_BATCH=129,
1533                MATOP_TRANSPOSE_MAT_MULT=130,
1534                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1535                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1536                MATOP_TRANSPOSE_COLORING_CREAT=133,
1537                MATOP_TRANS_COLORING_APPLY_SPT=134,
1538                MATOP_TRANS_COLORING_APPLY_DEN=135,
1539                MATOP_RART=136,
1540                MATOP_RART_SYMBOLIC=137,
1541                MATOP_RART_NUMERIC=138,
1542                MATOP_SET_BLOCK_SIZES=139,
1543                MATOP_AYPX=140,
1544                MATOP_RESIDUAL=141,
1545                MATOP_FDCOLORING_SETUP=142,
1546                MATOP_MPICONCATENATESEQ=144,
1547                MATOP_DESTROYSUBMATRICES=145
1548              } MatOperation;
1549 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1550 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1551 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1552 
1553 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1554 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1555 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1556 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1557 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1558 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1559 
1560 /*
1561    Codes for matrices stored on disk. By default they are
1562    stored in a universal format. By changing the format with
1563    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1564    be stored in a way natural for the matrix, for example dense matrices
1565    would be stored as dense. Matrices stored this way may only be
1566    read into matrices of the same type.
1567 */
1568 #define MATRIX_BINARY_FORMAT_DENSE -1
1569 
1570 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1571 
1572 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1573 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1574 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1575 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1576 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1577 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1578 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1579 
1580 /*S
1581      MatNullSpace - Object that removes a null space from a vector, i.e.
1582          orthogonalizes the vector to a subsapce
1583 
1584    Level: advanced
1585 
1586   Concepts: matrix; linear operator, null space
1587 
1588   Users manual sections:
1589 .   sec_singular
1590 
1591 .seealso:  MatNullSpaceCreate()
1592 S*/
1593 typedef struct _p_MatNullSpace* MatNullSpace;
1594 
1595 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1596 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1597 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1598 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1599 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1600 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1601 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1602 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1603 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1604 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1605 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1606 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1607 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1608 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1609 
1610 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1611 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1612 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1613 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1614 
1615 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1616 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1617 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1618 
1619 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1620 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1621 
1622 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1623 
1624 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1625 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1626 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1627 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1628 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1629 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1630 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1631 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1632 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1633 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1634 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1635 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1636 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1637 
1638 /*S
1639     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1640               Jacobian vector products
1641 
1642     Notes:
1643     MATMFFD is a specific MatType which uses the MatMFFD data structure
1644 
1645            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1646 
1647     Level: developer
1648 
1649 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1650 S*/
1651 typedef struct _p_MatMFFD* MatMFFD;
1652 
1653 /*J
1654     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1655 
1656    Level: beginner
1657 
1658 .seealso: MatMFFDSetType(), MatMFFDRegister()
1659 J*/
1660 typedef const char* MatMFFDType;
1661 #define MATMFFD_DS  "ds"
1662 #define MATMFFD_WP  "wp"
1663 
1664 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1665 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1666 
1667 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1668 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1669 
1670 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1671 
1672 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1673 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1674 
1675 /*
1676    PETSc interface to MUMPS
1677 */
1678 #ifdef PETSC_HAVE_MUMPS
1679 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1680 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1681 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1682 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1683 
1684 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1685 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1686 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1687 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1688 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1689 #endif
1690 
1691 /*
1692    PETSc interface to Mkl_Pardiso
1693 */
1694 #ifdef PETSC_HAVE_MKL_PARDISO
1695 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1696 #endif
1697 
1698 /*
1699    PETSc interface to Mkl_CPardiso
1700 */
1701 #ifdef PETSC_HAVE_MKL_CPARDISO
1702 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1703 #endif
1704 
1705 /*
1706    PETSc interface to SUPERLU
1707 */
1708 #ifdef PETSC_HAVE_SUPERLU
1709 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1710 #endif
1711 
1712 /*
1713    PETSc interface to SUPERLU_DIST
1714 */
1715 #ifdef PETSC_HAVE_SUPERLU_DIST
1716 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1717 #endif
1718 
1719 /*
1720    PETSc interface to STRUMPACK
1721 */
1722 #ifdef PETSC_HAVE_STRUMPACK
1723 /*E
1724     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1725 
1726     Level: intermediate
1727 E*/
1728 typedef enum {MAT_STRUMPACK_NATURAL=0,
1729               MAT_STRUMPACK_METIS=1,
1730               MAT_STRUMPACK_PARMETIS=2,
1731               MAT_STRUMPACK_SCOTCH=3,
1732               MAT_STRUMPACK_PTSCOTCH=4,
1733               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1734 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1735 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1736 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1737 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1738 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1739 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1740 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1741 #endif
1742 
1743 
1744 #ifdef PETSC_HAVE_CUDA
1745 /*E
1746     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1747     matrices.
1748 
1749     Not Collective
1750 
1751 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1752 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1753 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1754 
1755     Level: intermediate
1756 
1757    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1758 
1759 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1760 E*/
1761 
1762 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1763 
1764 /* these will be strings associated with enumerated type defined above */
1765 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1766 
1767 /*E
1768     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1769     matrices whose operation should use a particular storage format.
1770 
1771     Not Collective
1772 
1773 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1774 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1775 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1776 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1777 
1778     Level: intermediate
1779 
1780 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1781 E*/
1782 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1783 
1784 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1785 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1786 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1787 #endif
1788 
1789 #if defined(PETSC_HAVE_VIENNACL)
1790 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1791 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1792 #endif
1793 
1794 /*
1795    PETSc interface to FFTW
1796 */
1797 #if defined(PETSC_HAVE_FFTW)
1798 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1799 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1800 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1801 #endif
1802 
1803 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1804 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1805 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1806 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1807 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1808 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1809 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1810 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1811 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1812 
1813 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1814 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1815 
1816 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1817 
1818 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1819 
1820 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1821 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1822 
1823 #endif
1824