xref: /petsc/include/petscmat.h (revision feff33ee0b5b037fa8f9f294dede656a2f85cc47)
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: Entries that are negative need not be called collectively by all processes.
342 
343 .seealso: MatSetOption()
344 E*/
345 typedef enum {MAT_OPTION_MIN = -3,
346               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
347               MAT_ROW_ORIENTED = -1,
348               MAT_SYMMETRIC = 1,
349               MAT_STRUCTURALLY_SYMMETRIC = 2,
350               MAT_NEW_DIAGONALS = 3,
351               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
352               MAT_USE_HASH_TABLE = 5,
353               MAT_KEEP_NONZERO_PATTERN = 6,
354               MAT_IGNORE_ZERO_ENTRIES = 7,
355               MAT_USE_INODES = 8,
356               MAT_HERMITIAN = 9,
357               MAT_SYMMETRY_ETERNAL = 10,
358               MAT_NEW_NONZERO_LOCATION_ERR = 11,
359               MAT_IGNORE_LOWER_TRIANGULAR = 12,
360               MAT_ERROR_LOWER_TRIANGULAR = 13,
361               MAT_GETROW_UPPERTRIANGULAR = 14,
362               MAT_SPD = 15,
363               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
364               MAT_NO_OFF_PROC_ENTRIES = 17,
365               MAT_NEW_NONZERO_LOCATIONS = 18,
366               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
367               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
368               MAT_SUBMAT_SINGLEIS = 21,
369               MAT_STRUCTURE_ONLY = 22,
370               MAT_OPTION_MAX = 23} MatOption;
371 
372 PETSC_EXTERN const char *const *MatOptions;
373 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
374 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
375 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
376 
377 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
379 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
381 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
383 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
384 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
385 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
386 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
388 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
389 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
390 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
391 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
392 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
393 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
394 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
395 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
396 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
397 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
398 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
399 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
400 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
401 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
402 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
403 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
404 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
405 
406 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
407 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
408 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
409 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
410 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
411 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
412 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
414 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
415 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
416 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
417 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
418 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
419 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
420 
421 /*E
422     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
423   its numerical values copied over or just its nonzero structure.
424 
425     Level: beginner
426 
427    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
428 
429 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
430 $                               with zeros for the numerical values.
431 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
432 $                               and with the same numerical values.
433 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
434 $                               and does not copy it, using zeros for the numerical values. The parent and
435 $                               child matrices will share their index (i and j) arrays, and you cannot
436 $                               insert new nonzero entries into either matrix.
437 
438 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
439 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
440 
441 .seealso: MatDuplicate()
442 E*/
443 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
444 
445 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
446 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
447 
448 
449 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
450 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
451 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
452 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
453 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
454 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
455 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
456 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
457 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
458 
459 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
460 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
461 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
462 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
463 
464 /*S
465      MatInfo - Context of matrix information, used with MatGetInfo()
466 
467    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
468 
469    Level: intermediate
470 
471   Concepts: matrix^nonzero information
472 
473 .seealso:  MatGetInfo(), MatInfoType
474 S*/
475 typedef struct {
476   PetscLogDouble block_size;                         /* block size */
477   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
478   PetscLogDouble memory;                             /* memory allocated */
479   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
480   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
481   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
482   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
483 } MatInfo;
484 
485 /*E
486     MatInfoType - Indicates if you want information about the local part of the matrix,
487      the entire parallel matrix or the maximum over all the local parts.
488 
489     Level: beginner
490 
491    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
492 
493 .seealso: MatGetInfo(), MatInfo
494 E*/
495 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
496 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
497 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
498 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
499 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
500 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
501 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
502 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
503 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
504 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
506 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
507 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
508 
509 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
510 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
512 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
513 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
514 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
515 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
516 
517 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
518 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
519 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
520 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
523 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
524 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
525 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
526 
527 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
528 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
529 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
530 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
531 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
532 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
533 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
534 
535 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
536 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);}
537 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
538 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);}
539 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
540 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
541 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
542 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);}
543 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
544 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
545 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
546 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
547 
548 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
550 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
551 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
553 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
554 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
555 
556 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
557 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
558 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
559 
560 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
561 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
563 
564 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
566 
567 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
570 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
571 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
573 
574 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
575 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
576 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
577 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
578 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
579 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
580 
581 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
582 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
583 
584 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
585 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
586 
587 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
588 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
589 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
590 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
591 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
592 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
593 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
594 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
595 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
596 
597 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
598 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
599 
600 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
601 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
602 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
603 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
604 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
605 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
606 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
607 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
608 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
609 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
610 
611 /*MC
612    MatSetValue - Set a single entry into a matrix.
613 
614    Not collective
615 
616    Synopsis:
617      #include <petscmat.h>
618      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
619 
620    Input Parameters:
621 +  m - the matrix
622 .  row - the row location of the entry
623 .  col - the column location of the entry
624 .  value - the value to insert
625 -  mode - either INSERT_VALUES or ADD_VALUES
626 
627    Notes:
628    For efficiency one should use MatSetValues() and set several or many
629    values simultaneously if possible.
630 
631    Level: beginner
632 
633 .seealso: MatSetValues(), MatSetValueLocal()
634 M*/
635 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
636 
637 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
638 
639 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
640 
641 /*MC
642    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
643        row in a matrix providing the data that one can use to correctly preallocate the matrix.
644 
645    Synopsis:
646    #include <petscmat.h>
647    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
648 
649    Collective on MPI_Comm
650 
651    Input Parameters:
652 +  comm - the communicator that will share the eventually allocated matrix
653 .  nrows - the number of LOCAL rows in the matrix
654 -  ncols - the number of LOCAL columns in the matrix
655 
656    Output Parameters:
657 +  dnz - the array that will be passed to the matrix preallocation routines
658 -  ozn - the other array passed to the matrix preallocation routines
659 
660    Level: intermediate
661 
662    Notes:
663     See Users-Manual: ch_performance for more details.
664 
665    Do not malloc or free dnz and onz, that is handled internally by these routines
666 
667    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
668 
669    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
670 
671   Concepts: preallocation^Matrix
672 
673 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
674           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
675 M*/
676 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
677 { \
678   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
679   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
680   __start = 0; __end = __start;                                         \
681   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
682   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
683 
684 /*MC
685    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
686        inserted using a local number of the rows and columns
687 
688    Synopsis:
689    #include <petscmat.h>
690    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
691 
692    Not Collective
693 
694    Input Parameters:
695 +  map - the row mapping from local numbering to global numbering
696 .  nrows - the number of rows indicated
697 .  rows - the indices of the rows
698 .  cmap - the column mapping from local to global numbering
699 .  ncols - the number of columns in the matrix
700 .  cols - the columns indicated
701 .  dnz - the array that will be passed to the matrix preallocation routines
702 -  ozn - the other array passed to the matrix preallocation routines
703 
704    Level: intermediate
705 
706    Notes:
707     See Users-Manual: ch_performance for more details.
708 
709    Do not malloc or free dnz and onz, that is handled internally by these routines
710 
711   Concepts: preallocation^Matrix
712 
713 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
714           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
715 M*/
716 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
717 {\
718   PetscInt __l;\
719   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
720   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
721   for (__l=0;__l<nrows;__l++) {\
722     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
723   }\
724 }
725 
726 /*MC
727    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
728        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
729 
730    Synopsis:
731    #include <petscmat.h>
732    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
733 
734    Not Collective
735 
736    Input Parameters:
737 +  map - the row mapping from local numbering to global numbering
738 .  nrows - the number of rows indicated
739 .  rows - the indices of the rows (these values are mapped to the global values)
740 .  cmap - the column mapping from local to global numbering
741 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
742 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
743 .  dnz - the array that will be passed to the matrix preallocation routines
744 -  ozn - the other array passed to the matrix preallocation routines
745 
746    Level: intermediate
747 
748    Notes:
749     See Users-Manual: ch_performance for more details.
750 
751    Do not malloc or free dnz and onz, that is handled internally by these routines
752 
753   Concepts: preallocation^Matrix
754 
755 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
756           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
757 M*/
758 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
759 {\
760   PetscInt __l;\
761   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
762   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
763   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
764   for (__l=0;__l<nrows;__l++) {\
765     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
766   }\
767 }
768 
769 /*MC
770    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
771        inserted using a local number of the rows and columns
772 
773    Synopsis:
774    #include <petscmat.h>
775    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
776 
777    Not Collective
778 
779    Input Parameters:
780 +  map - the row mapping from local numbering to global numbering
781 .  nrows - the number of rows indicated
782 .  rows - the indices of the rows
783 .  cmap - the column mapping from local to global numbering
784 .  ncols - the number of columns in the matrix
785 .  cols - the columns indicated
786 .  dnz - the array that will be passed to the matrix preallocation routines
787 -  ozn - the other array passed to the matrix preallocation routines
788 
789    Level: intermediate
790 
791    Notes:
792     See Users-Manual: ch_performance for more details.
793 
794    Do not malloc or free dnz and onz, that is handled internally by these routines
795 
796   Concepts: preallocation^Matrix
797 
798 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
799           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
800 M*/
801 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
802 {\
803   PetscInt __l;\
804   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
805   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
806   for (__l=0;__l<nrows;__l++) {\
807     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
808   }\
809 }
810 
811 /*MC
812    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
813        inserted using a local number of the rows and columns
814 
815    Synopsis:
816    #include <petscmat.h>
817    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
818 
819    Not Collective
820 
821    Input Parameters:
822 +  map - the mapping between local numbering and global numbering
823 .  nrows - the number of rows indicated
824 .  rows - the indices of the rows
825 .  ncols - the number of columns in the matrix
826 .  cols - the columns indicated
827 .  dnz - the array that will be passed to the matrix preallocation routines
828 -  ozn - the other array passed to the matrix preallocation routines
829 
830    Level: intermediate
831 
832    Notes:
833     See Users-Manual: ch_performance for more details.
834 
835    Do not malloc or free dnz and onz that is handled internally by these routines
836 
837   Concepts: preallocation^Matrix
838 
839 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
840           MatPreallocateInitialize(),  MatPreallocateSetLocal()
841 M*/
842 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
843 {\
844   PetscInt __l;\
845   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
846   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
847   for (__l=0;__l<nrows;__l++) {\
848     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
849   }\
850 }
851 /*MC
852    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
853        inserted using a local number of the rows and columns
854 
855    Synopsis:
856    #include <petscmat.h>
857    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
858 
859    Not Collective
860 
861    Input Parameters:
862 +  row - the row
863 .  ncols - the number of columns in the matrix
864 -  cols - the columns indicated
865 
866    Output Parameters:
867 +  dnz - the array that will be passed to the matrix preallocation routines
868 -  ozn - the other array passed to the matrix preallocation routines
869 
870    Level: intermediate
871 
872    Notes:
873     See Users-Manual: ch_performance for more details.
874 
875    Do not malloc or free dnz and onz that is handled internally by these routines
876 
877    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
878 
879   Concepts: preallocation^Matrix
880 
881 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
882           MatPreallocateInitialize(), MatPreallocateSetLocal()
883 M*/
884 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
885 { PetscInt __i; \
886   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);\
887   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);\
888   for (__i=0; __i<nc; __i++) {\
889     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
890     else dnz[row - __rstart]++;\
891   }\
892 }
893 
894 /*MC
895    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
896        inserted using a local number of the rows and columns
897 
898    Synopsis:
899    #include <petscmat.h>
900    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
901 
902    Not Collective
903 
904    Input Parameters:
905 +  nrows - the number of rows indicated
906 .  rows - the indices of the rows
907 .  ncols - the number of columns in the matrix
908 .  cols - the columns indicated
909 .  dnz - the array that will be passed to the matrix preallocation routines
910 -  ozn - the other array passed to the matrix preallocation routines
911 
912    Level: intermediate
913 
914    Notes:
915     See Users-Manual: ch_performance for more details.
916 
917    Do not malloc or free dnz and onz that is handled internally by these routines
918 
919    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
920 
921   Concepts: preallocation^Matrix
922 
923 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
924           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
925 M*/
926 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
927 { PetscInt __i; \
928   for (__i=0; __i<nc; __i++) {\
929     if (cols[__i] >= __end) onz[row - __rstart]++; \
930     else if (cols[__i] >= row) dnz[row - __rstart]++;\
931   }\
932 }
933 
934 /*MC
935    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
936 
937    Synopsis:
938    #include <petscmat.h>
939    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
940 
941    Not Collective
942 
943    Input Parameters:
944 .  A - matrix
945 .  row - row where values exist (must be local to this process)
946 .  ncols - number of columns
947 .  cols - columns with nonzeros
948 .  dnz - the array that will be passed to the matrix preallocation routines
949 -  ozn - the other array passed to the matrix preallocation routines
950 
951    Level: intermediate
952 
953    Notes:
954     See Users-Manual: ch_performance for more details.
955 
956    Do not malloc or free dnz and onz that is handled internally by these routines
957 
958    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
959 
960   Concepts: preallocation^Matrix
961 
962 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
963           MatPreallocateSymmetricSetLocalBlock()
964 M*/
965 #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);}
966 
967 
968 /*MC
969    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
970        row in a matrix providing the data that one can use to correctly preallocate the matrix.
971 
972    Synopsis:
973    #include <petscmat.h>
974    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
975 
976    Collective on MPI_Comm
977 
978    Input Parameters:
979 +  dnz - the array that was be passed to the matrix preallocation routines
980 -  ozn - the other array passed to the matrix preallocation routines
981 
982    Level: intermediate
983 
984    Notes:
985     See Users-Manual: ch_performance for more details.
986 
987    Do not malloc or free dnz and onz that is handled internally by these routines
988 
989    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
990 
991   Concepts: preallocation^Matrix
992 
993 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
994           MatPreallocateSymmetricSetLocalBlock()
995 M*/
996 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
997 
998 /* Routines unique to particular data structures */
999 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1000 
1001 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1002 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1003 
1004 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1005 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1006 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1007 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1008 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1009 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1010 
1011 #define MAT_SKIP_ALLOCATION -4
1012 
1013 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1014 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1015 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1016 
1017 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1018 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1019 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1020 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1021 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1022 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1023 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1024 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1025 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1026 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1027 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1028 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1029 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1030 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1031 
1032 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1033 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
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: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1091 
1092 .seealso: MatGetFactor()
1093 S*/
1094 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1095 
1096 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1097 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1098 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1099 
1100 /*S
1101    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1102 
1103    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1104 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1105 
1106    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1107 
1108       You can use MatFactorInfoInitialize() to set default values.
1109 
1110    Level: developer
1111 
1112 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1113           MatFactorInfoInitialize()
1114 
1115 S*/
1116 typedef struct {
1117   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1118   PetscReal     usedt;
1119   PetscReal     dt;             /* drop tolerance */
1120   PetscReal     dtcol;          /* tolerance for pivoting */
1121   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1122   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1123   PetscReal     levels;         /* ICC/ILU(levels) */
1124   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1125                                    factorization may be faster if do not pivot */
1126   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1127   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1128   PetscReal     shiftamount;     /* how large the shift is */
1129 } MatFactorInfo;
1130 
1131 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1132 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1133 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1134 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1135 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1136 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1137 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1138 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1139 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1140 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1141 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1142 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1143 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1144 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1145 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1146 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1147 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1148 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1149 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1150 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1151 
1152 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1153 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1154 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1155 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1156 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1157 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1158 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1159 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1160 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1161 
1162 /*E
1163     MatSORType - What type of (S)SOR to perform
1164 
1165     Level: beginner
1166 
1167    May be bitwise ORd together
1168 
1169    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1170 
1171    MatSORType may be bitwise ORd together, so do not change the numbers
1172 
1173 .seealso: MatSOR()
1174 E*/
1175 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1176               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1177               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1178               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1179 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1180 
1181 /*
1182     These routines are for efficiently computing Jacobians via finite differences.
1183 */
1184 
1185 /*S
1186      MatColoring - Object for managing the coloring of matrices.
1187 
1188    Level: beginner
1189 
1190   Concepts: matrix, coloring
1191 
1192 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1193 S*/
1194 typedef struct _p_MatColoring* MatColoring;
1195 /*J
1196     MatColoringType - String with the name of a PETSc matrix coloring
1197 
1198    Level: beginner
1199 
1200 .seealso: MatColoringSetType(), MatColoring
1201 J*/
1202 
1203 typedef const  char*           MatColoringType;
1204 #define MATCOLORINGJP      "jp"
1205 #define MATCOLORINGPOWER   "power"
1206 #define MATCOLORINGNATURAL "natural"
1207 #define MATCOLORINGSL      "sl"
1208 #define MATCOLORINGLF      "lf"
1209 #define MATCOLORINGID      "id"
1210 #define MATCOLORINGGREEDY  "greedy"
1211 
1212 /*E
1213    MatColoringWeightType - Type of weight scheme
1214 
1215     Not Collective
1216 
1217 +   MAT_COLORING_RANDOM  - Random weights
1218 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1219 -   MAT_COLORING_LF      - Last-first weighting.
1220 
1221     Level: intermediate
1222 
1223    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1224 E*/
1225 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1226 
1227 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1228 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1229 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1230 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1231 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1232 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1233 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1234 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1235 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1236 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1237 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1238 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1239 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1240 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1241 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1242 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1243 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1244 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1245 
1246 /*S
1247      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1248         and coloring
1249 
1250    Level: beginner
1251 
1252   Concepts: coloring, sparse Jacobian, finite differences
1253 
1254 .seealso:  MatFDColoringCreate()
1255 S*/
1256 typedef struct _p_MatFDColoring* MatFDColoring;
1257 
1258 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1259 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1260 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1261 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1262 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1263 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1264 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1265 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1266 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1267 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1268 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1269 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1270 
1271 
1272 /*S
1273      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1274 
1275    Level: beginner
1276 
1277   Concepts: coloring, sparse matrix product
1278 
1279 .seealso:  MatTransposeColoringCreate()
1280 S*/
1281 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1282 
1283 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1284 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1285 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1286 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1287 
1288 /*
1289     These routines are for partitioning matrices: currently used only
1290   for adjacency matrix, MatCreateMPIAdj().
1291 */
1292 
1293 /*S
1294      MatPartitioning - Object for managing the partitioning of a matrix or graph
1295 
1296    Level: beginner
1297 
1298   Concepts: partitioning
1299 
1300 .seealso:  MatPartitioningCreate(), MatPartitioningType
1301 S*/
1302 typedef struct _p_MatPartitioning* MatPartitioning;
1303 
1304 /*J
1305     MatPartitioningType - String with the name of a PETSc matrix partitioning
1306 
1307    Level: beginner
1308 dm
1309 .seealso: MatPartitioningCreate(), MatPartitioning
1310 J*/
1311 typedef const char* MatPartitioningType;
1312 #define MATPARTITIONINGCURRENT  "current"
1313 #define MATPARTITIONINGAVERAGE   "average"
1314 #define MATPARTITIONINGSQUARE   "square"
1315 #define MATPARTITIONINGPARMETIS "parmetis"
1316 #define MATPARTITIONINGCHACO    "chaco"
1317 #define MATPARTITIONINGPARTY    "party"
1318 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1319 #define MATPARTITIONINGHIERARCH  "hierarch"
1320 
1321 
1322 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1330 
1331 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1332 
1333 
1334 
1335 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1338 
1339 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1342 
1343 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1344 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1345 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1346 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1347 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1348 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1349 
1350 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1361 
1362 #define MP_PARTY_OPT "opt"
1363 #define MP_PARTY_LIN "lin"
1364 #define MP_PARTY_SCA "sca"
1365 #define MP_PARTY_RAN "ran"
1366 #define MP_PARTY_GBF "gbf"
1367 #define MP_PARTY_GCF "gcf"
1368 #define MP_PARTY_BUB "bub"
1369 #define MP_PARTY_DEF "def"
1370 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1371 #define MP_PARTY_HELPFUL_SETS "hs"
1372 #define MP_PARTY_KERNIGHAN_LIN "kl"
1373 #define MP_PARTY_NONE "no"
1374 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1378 
1379 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1380 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1381 
1382 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1384 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1385 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1386 
1387 /*
1388  * hierarchical partitioning
1389  */
1390 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1391 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1392 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1394 
1395 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1396 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1397 
1398 /*
1399     If you add entries here you must also add them to petsc/finclude/petscmat.h
1400 */
1401 typedef enum { MATOP_SET_VALUES=0,
1402                MATOP_GET_ROW=1,
1403                MATOP_RESTORE_ROW=2,
1404                MATOP_MULT=3,
1405                MATOP_MULT_ADD=4,
1406                MATOP_MULT_TRANSPOSE=5,
1407                MATOP_MULT_TRANSPOSE_ADD=6,
1408                MATOP_SOLVE=7,
1409                MATOP_SOLVE_ADD=8,
1410                MATOP_SOLVE_TRANSPOSE=9,
1411                MATOP_SOLVE_TRANSPOSE_ADD=10,
1412                MATOP_LUFACTOR=11,
1413                MATOP_CHOLESKYFACTOR=12,
1414                MATOP_SOR=13,
1415                MATOP_TRANSPOSE=14,
1416                MATOP_GETINFO=15,
1417                MATOP_EQUAL=16,
1418                MATOP_GET_DIAGONAL=17,
1419                MATOP_DIAGONAL_SCALE=18,
1420                MATOP_NORM=19,
1421                MATOP_ASSEMBLY_BEGIN=20,
1422                MATOP_ASSEMBLY_END=21,
1423                MATOP_SET_OPTION=22,
1424                MATOP_ZERO_ENTRIES=23,
1425                MATOP_ZERO_ROWS=24,
1426                MATOP_LUFACTOR_SYMBOLIC=25,
1427                MATOP_LUFACTOR_NUMERIC=26,
1428                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1429                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1430                MATOP_SETUP_PREALLOCATION=29,
1431                MATOP_ILUFACTOR_SYMBOLIC=30,
1432                MATOP_ICCFACTOR_SYMBOLIC=31,
1433                MATOP_GET_DIAGONAL_BLOCK=32,
1434                /* MATOP_PLACEHOLDER_33=33, */
1435                MATOP_DUPLICATE=34,
1436                MATOP_FORWARD_SOLVE=35,
1437                MATOP_BACKWARD_SOLVE=36,
1438                MATOP_ILUFACTOR=37,
1439                MATOP_ICCFACTOR=38,
1440                MATOP_AXPY=39,
1441                MATOP_CREATE_SUBMATRICES=40,
1442                MATOP_INCREASE_OVERLAP=41,
1443                MATOP_GET_VALUES=42,
1444                MATOP_COPY=43,
1445                MATOP_GET_ROW_MAX=44,
1446                MATOP_SCALE=45,
1447                MATOP_SHIFT=46,
1448                MATOP_DIAGONAL_SET=47,
1449                MATOP_ZERO_ROWS_COLUMNS=48,
1450                MATOP_SET_RANDOM=49,
1451                MATOP_GET_ROW_IJ=50,
1452                MATOP_RESTORE_ROW_IJ=51,
1453                MATOP_GET_COLUMN_IJ=52,
1454                MATOP_RESTORE_COLUMN_IJ=53,
1455                MATOP_FDCOLORING_CREATE=54,
1456                MATOP_COLORING_PATCH=55,
1457                MATOP_SET_UNFACTORED=56,
1458                MATOP_PERMUTE=57,
1459                MATOP_SET_VALUES_BLOCKED=58,
1460                MATOP_CREATE_SUBMATRIX=59,
1461                MATOP_DESTROY=60,
1462                MATOP_VIEW=61,
1463                MATOP_CONVERT_FROM=62,
1464                MATOP_MATMAT_MULT=63,
1465                MATOP_MATMAT_MULT_SYMBOLIC=64,
1466                MATOP_MATMAT_MULT_NUMERIC=65,
1467                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1468                MATOP_SET_VALUES_LOCAL=67,
1469                MATOP_ZERO_ROWS_LOCAL=68,
1470                MATOP_GET_ROW_MAX_ABS=69,
1471                MATOP_GET_ROW_MIN_ABS=70,
1472                MATOP_CONVERT=71,
1473                MATOP_SET_COLORING=72,
1474                /* MATOP_PLACEHOLDER_73=73, */
1475                MATOP_SET_VALUES_ADIFOR=74,
1476                MATOP_FD_COLORING_APPLY=75,
1477                MATOP_SET_FROM_OPTIONS=76,
1478                MATOP_MULT_CONSTRAINED=77,
1479                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1480                MATOP_FIND_ZERO_DIAGONALS=79,
1481                MATOP_MULT_MULTIPLE=80,
1482                MATOP_SOLVE_MULTIPLE=81,
1483                MATOP_GET_INERTIA=82,
1484                MATOP_LOAD=83,
1485                MATOP_IS_SYMMETRIC=84,
1486                MATOP_IS_HERMITIAN=85,
1487                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1488                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1489                MATOP_CREATE_VECS=88,
1490                MATOP_MAT_MULT=89,
1491                MATOP_MAT_MULT_SYMBOLIC=90,
1492                MATOP_MAT_MULT_NUMERIC=91,
1493                MATOP_PTAP=92,
1494                MATOP_PTAP_SYMBOLIC=93,
1495                MATOP_PTAP_NUMERIC=94,
1496                MATOP_MAT_TRANSPOSE_MULT=95,
1497                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1498                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1499                /* MATOP_PLACEHOLDER_98=98, */
1500                /* MATOP_PLACEHOLDER_99=99, */
1501                /* MATOP_PLACEHOLDER_100=100, */
1502                /* MATOP_PLACEHOLDER_101=101, */
1503                MATOP_CONJUGATE=102,
1504                /* MATOP_PLACEHOLDER_103=103, */
1505                MATOP_SET_VALUES_ROW=104,
1506                MATOP_REAL_PART=105,
1507                MATOP_IMAGINARY_PART=106,
1508                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1509                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1510                MATOP_MAT_SOLVE=109,
1511                MATOP_MAT_SOLVE_TRANSPOSE=110,
1512                MATOP_GET_ROW_MIN=111,
1513                MATOP_GET_COLUMN_VECTOR=112,
1514                MATOP_MISSING_DIAGONAL=113,
1515                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1516                MATOP_CREATE=115,
1517                MATOP_GET_GHOSTS=116,
1518                MATOP_GET_LOCAL_SUB_MATRIX=117,
1519                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1520                MATOP_MULT_DIAGONAL_BLOCK=119,
1521                MATOP_HERMITIAN_TRANSPOSE=120,
1522                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1523                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1524                MATOP_GET_MULTI_PROC_BLOCK=123,
1525                MATOP_FIND_NONZERO_ROWS=124,
1526                MATOP_GET_COLUMN_NORMS=125,
1527                MATOP_INVERT_BLOCK_DIAGONAL=126,
1528                /* MATOP_PLACEHOLDER_127=127, */
1529                MATOP_CREATE_SUB_MATRICES_MPI=128,
1530                MATOP_SET_VALUES_BATCH=129,
1531                MATOP_TRANSPOSE_MAT_MULT=130,
1532                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1533                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1534                MATOP_TRANSPOSE_COLORING_CREAT=133,
1535                MATOP_TRANS_COLORING_APPLY_SPT=134,
1536                MATOP_TRANS_COLORING_APPLY_DEN=135,
1537                MATOP_RART=136,
1538                MATOP_RART_SYMBOLIC=137,
1539                MATOP_RART_NUMERIC=138,
1540                MATOP_SET_BLOCK_SIZES=139,
1541                MATOP_AYPX=140,
1542                MATOP_RESIDUAL=141,
1543                MATOP_FDCOLORING_SETUP=142,
1544                MATOP_MPICONCATENATESEQ=144,
1545                MATOP_DESTROYSUBMATRICES=145
1546              } MatOperation;
1547 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1548 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1549 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1550 
1551 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1552 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1553 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1554 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1555 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1556 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1557 
1558 /*
1559    Codes for matrices stored on disk. By default they are
1560    stored in a universal format. By changing the format with
1561    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1562    be stored in a way natural for the matrix, for example dense matrices
1563    would be stored as dense. Matrices stored this way may only be
1564    read into matrices of the same type.
1565 */
1566 #define MATRIX_BINARY_FORMAT_DENSE -1
1567 
1568 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1569 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1570 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1571 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1572 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1573 
1574 /*S
1575      MatNullSpace - Object that removes a null space from a vector, i.e.
1576          orthogonalizes the vector to a subsapce
1577 
1578    Level: advanced
1579 
1580   Concepts: matrix; linear operator, null space
1581 
1582   Users manual sections:
1583 .   sec_singular
1584 
1585 .seealso:  MatNullSpaceCreate()
1586 S*/
1587 typedef struct _p_MatNullSpace* MatNullSpace;
1588 
1589 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1590 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1591 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1592 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1593 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1594 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1595 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1596 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1597 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1598 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1599 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1600 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1601 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1602 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1603 
1604 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1605 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1606 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1607 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1608 
1609 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1610 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1611 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1612 
1613 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1614 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1615 
1616 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1617 
1618 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1619 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1620 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1621 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1622 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1623 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1624 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1625 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1626 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1627 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1628 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1629 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1630 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1631 
1632 /*S
1633     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1634               Jacobian vector products
1635 
1636     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1637 
1638            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1639 
1640     Level: developer
1641 
1642 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1643 S*/
1644 typedef struct _p_MatMFFD* MatMFFD;
1645 
1646 /*J
1647     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1648 
1649    Level: beginner
1650 
1651 .seealso: MatMFFDSetType(), MatMFFDRegister()
1652 J*/
1653 typedef const char* MatMFFDType;
1654 #define MATMFFD_DS  "ds"
1655 #define MATMFFD_WP  "wp"
1656 
1657 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1658 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1659 
1660 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1661 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1662 
1663 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1664 
1665 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1666 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1667 
1668 /*
1669    PETSc interface to MUMPS
1670 */
1671 #ifdef PETSC_HAVE_MUMPS
1672 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1673 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1674 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1675 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1676 
1677 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1678 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1679 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1680 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1681 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1682 #endif
1683 
1684 /*
1685    PETSc interface to Mkl_Pardiso
1686 */
1687 #ifdef PETSC_HAVE_MKL_PARDISO
1688 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1689 #endif
1690 
1691 /*
1692    PETSc interface to Mkl_CPardiso
1693 */
1694 #ifdef PETSC_HAVE_MKL_CPARDISO
1695 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1696 #endif
1697 
1698 /*
1699    PETSc interface to SUPERLU
1700 */
1701 #ifdef PETSC_HAVE_SUPERLU
1702 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1703 #endif
1704 
1705 /*
1706    PETSc interface to SUPERLU_DIST
1707 */
1708 #ifdef PETSC_HAVE_SUPERLU_DIST
1709 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1710 #endif
1711 
1712 /*
1713    PETSc interface to STRUMPACK
1714 */
1715 #ifdef PETSC_HAVE_STRUMPACK
1716 /*E
1717     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1718 
1719     Level: intermediate
1720 E*/
1721 typedef enum {MAT_STRUMPACK_NATURAL=0,
1722               MAT_STRUMPACK_METIS=1,
1723               MAT_STRUMPACK_PARMETIS=2,
1724               MAT_STRUMPACK_SCOTCH=3,
1725               MAT_STRUMPACK_PTSCOTCH=4,
1726               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1727 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1728 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1729 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1730 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1731 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1732 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1733 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1734 #endif
1735 
1736 
1737 #ifdef PETSC_HAVE_CUDA
1738 /*E
1739     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1740     matrices.
1741 
1742     Not Collective
1743 
1744 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1745 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1746 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1747 
1748     Level: intermediate
1749 
1750    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1751 
1752 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1753 E*/
1754 
1755 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1756 
1757 /* these will be strings associated with enumerated type defined above */
1758 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1759 
1760 /*E
1761     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1762     matrices whose operation should use a particular storage format.
1763 
1764     Not Collective
1765 
1766 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1767 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1768 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1769 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1770 
1771     Level: intermediate
1772 
1773 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1774 E*/
1775 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1776 
1777 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1778 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1779 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1780 #endif
1781 
1782 #if defined(PETSC_HAVE_VIENNACL)
1783 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1784 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1785 #endif
1786 
1787 /*
1788    PETSc interface to FFTW
1789 */
1790 #if defined(PETSC_HAVE_FFTW)
1791 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1792 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1793 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1794 #endif
1795 
1796 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1797 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1798 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1799 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1800 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1801 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1802 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1803 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1804 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1805 
1806 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1807 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1808 
1809 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1810 
1811 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1812 
1813 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1814 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1815 
1816 #endif
1817