xref: /petsc/include/petscmat.h (revision 479a70c03d71efceaa37154c78cc7a30d5d73ead)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATDUMMY           "dummy"
91 
92 /*J
93     MatSolverPackage - 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 #define MatSolverPackage char*
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: MatSolverPackage, 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,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
138 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,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
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 
212 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 
227 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
229 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
230 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
231 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
237 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
243 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
244 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
245 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
247 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
248 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
249 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
250 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
256 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
258 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
259 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
260 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
261 
262 #if defined(PETSC_HAVE_HYPRE)
263 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
264 #endif
265 
266 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
267 
268 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
269 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
270 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
271 
272 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
273 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
274 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
275 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
276 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
277 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
278 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
279 
280 /* ------------------------------------------------------------*/
281 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
282 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
283 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
284 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
285 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
286 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
287 
288 /*S
289      MatStencil - Data structure (C struct) for storing information about a single row or
290         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
291 
292    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).
293    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.
294 
295    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
296 
297    Fortran usage is different, see MatSetValuesStencil() for details.
298 
299    Level: beginner
300 
301   Concepts: matrix; linear operator
302 
303 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
304 S*/
305 typedef struct {
306   PetscInt k,j,i,c;
307 } MatStencil;
308 
309 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
310 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
311 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
312 
313 /*E
314     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
315      to continue to add or insert values to it
316 
317     Level: beginner
318 
319 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
320 E*/
321 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
322 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
323 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
324 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
325 
326 
327 
328 /*E
329     MatOption - Options that may be set for a matrix and its behavior or storage
330 
331     Level: beginner
332 
333    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
334    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
335 
336    Developer Notes: Entries that are negative need not be called collectively by all processes.
337 
338 .seealso: MatSetOption()
339 E*/
340 typedef enum {MAT_OPTION_MIN = -3,
341               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
342               MAT_ROW_ORIENTED = -1,
343               MAT_SYMMETRIC = 1,
344               MAT_STRUCTURALLY_SYMMETRIC = 2,
345               MAT_NEW_DIAGONALS = 3,
346               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
347               MAT_USE_HASH_TABLE = 5,
348               MAT_KEEP_NONZERO_PATTERN = 6,
349               MAT_IGNORE_ZERO_ENTRIES = 7,
350               MAT_USE_INODES = 8,
351               MAT_HERMITIAN = 9,
352               MAT_SYMMETRY_ETERNAL = 10,
353               MAT_NEW_NONZERO_LOCATION_ERR = 11,
354               MAT_IGNORE_LOWER_TRIANGULAR = 12,
355               MAT_ERROR_LOWER_TRIANGULAR = 13,
356               MAT_GETROW_UPPERTRIANGULAR = 14,
357               MAT_SPD = 15,
358               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
359               MAT_NO_OFF_PROC_ENTRIES = 17,
360               MAT_NEW_NONZERO_LOCATIONS = 18,
361               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
362               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
363               MAT_SUBMAT_SINGLEIS = 21,
364               MAT_STRUCTURE_ONLY = 22,
365               MAT_OPTION_MAX = 23} MatOption;
366 
367 PETSC_EXTERN const char *const *MatOptions;
368 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
369 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
370 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
371 
372 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
373 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
374 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
375 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
376 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
377 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
378 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
379 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
380 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
381 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
382 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
383 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,const MatType,MatReuse,Mat *));
384 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
385 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
386 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
387 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
388 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
389 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
390 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
391 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
392 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
393 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
394 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
395 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
396 
397 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
398 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
399 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
400 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
401 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
402 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
404 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
406 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
407 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
408 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
409 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
410 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
411 
412 /*E
413     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
414   its numerical values copied over or just its nonzero structure.
415 
416     Level: beginner
417 
418    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
419 
420 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
421 $                               with zeros for the numerical values.
422 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
423 $                               and with the same numerical values.
424 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
425 $                               and does not copy it, using zeros for the numerical values. The parent and
426 $                               child matrices will share their index (i and j) arrays, and you cannot
427 $                               insert new nonzero entries into either matrix.
428 
429 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
430 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
431 
432 .seealso: MatDuplicate()
433 E*/
434 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
435 
436 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
437 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
438 
439 
440 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
441 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
442 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
443 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
444 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
445 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
446 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
447 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
448 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
449 
450 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
451 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
452 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
453 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
454 
455 /*S
456      MatInfo - Context of matrix information, used with MatGetInfo()
457 
458    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
459 
460    Level: intermediate
461 
462   Concepts: matrix^nonzero information
463 
464 .seealso:  MatGetInfo(), MatInfoType
465 S*/
466 typedef struct {
467   PetscLogDouble block_size;                         /* block size */
468   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
469   PetscLogDouble memory;                             /* memory allocated */
470   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
471   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
472   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
473   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
474 } MatInfo;
475 
476 /*E
477     MatInfoType - Indicates if you want information about the local part of the matrix,
478      the entire parallel matrix or the maximum over all the local parts.
479 
480     Level: beginner
481 
482    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
483 
484 .seealso: MatGetInfo(), MatInfo
485 E*/
486 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
487 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
488 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
489 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
490 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
491 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
492 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
493 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
494 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
496 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
497 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
498 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
499 
500 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
501 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
502 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
503 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
504 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
505 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
506 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
507 
508 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
509 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
510 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
511 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
512 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
513 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
517 
518 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
519 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
520 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
521 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
522 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
523 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
524 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
525 
526 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
527 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);}
528 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
529 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);}
530 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
531 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
532 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
533 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);}
534 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
535 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
536 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
537 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
538 
539 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
540 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
541 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
542 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
543 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
544 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
545 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
546 
547 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
548 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
549 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
550 
551 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
553 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
554 
555 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
556 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
557 
558 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
559 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
560 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
561 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
563 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
564 
565 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
566 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
567 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
568 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
570 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
571 
572 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
573 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
574 
575 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
576 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
577 
578 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
579 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
580 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
581 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
582 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
583 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
584 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
585 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
586 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
587 
588 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
589 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
590 
591 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
592 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
593 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
594 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
595 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
596 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
597 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
598 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
599 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
600 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
601 
602 /*MC
603    MatSetValue - Set a single entry into a matrix.
604 
605    Not collective
606 
607    Synopsis:
608      #include <petscmat.h>
609      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
610 
611    Input Parameters:
612 +  m - the matrix
613 .  row - the row location of the entry
614 .  col - the column location of the entry
615 .  value - the value to insert
616 -  mode - either INSERT_VALUES or ADD_VALUES
617 
618    Notes:
619    For efficiency one should use MatSetValues() and set several or many
620    values simultaneously if possible.
621 
622    Level: beginner
623 
624 .seealso: MatSetValues(), MatSetValueLocal()
625 M*/
626 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
627 
628 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
629 
630 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
631 
632 /*MC
633    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
634        row in a matrix providing the data that one can use to correctly preallocate the matrix.
635 
636    Synopsis:
637    #include <petscmat.h>
638    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
639 
640    Collective on MPI_Comm
641 
642    Input Parameters:
643 +  comm - the communicator that will share the eventually allocated matrix
644 .  nrows - the number of LOCAL rows in the matrix
645 -  ncols - the number of LOCAL columns in the matrix
646 
647    Output Parameters:
648 +  dnz - the array that will be passed to the matrix preallocation routines
649 -  ozn - the other array passed to the matrix preallocation routines
650 
651    Level: intermediate
652 
653    Notes:
654     See Users-Manual: ch_performance for more details.
655 
656    Do not malloc or free dnz and onz, that is handled internally by these routines
657 
658    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
659 
660    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
661 
662   Concepts: preallocation^Matrix
663 
664 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
665           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
666 M*/
667 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
668 { \
669   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
670   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
671   __start = 0; __end = __start;                                         \
672   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
673   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
674 
675 /*MC
676    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
677        inserted using a local number of the rows and columns
678 
679    Synopsis:
680    #include <petscmat.h>
681    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
682 
683    Not Collective
684 
685    Input Parameters:
686 +  map - the row mapping from local numbering to global numbering
687 .  nrows - the number of rows indicated
688 .  rows - the indices of the rows
689 .  cmap - the column mapping from local to global numbering
690 .  ncols - the number of columns in the matrix
691 .  cols - the columns indicated
692 .  dnz - the array that will be passed to the matrix preallocation routines
693 -  ozn - the other array passed to the matrix preallocation routines
694 
695    Level: intermediate
696 
697    Notes:
698     See Users-Manual: ch_performance for more details.
699 
700    Do not malloc or free dnz and onz, that is handled internally by these routines
701 
702   Concepts: preallocation^Matrix
703 
704 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
705           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
706 M*/
707 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
708 {\
709   PetscInt __l;\
710   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
711   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
712   for (__l=0;__l<nrows;__l++) {\
713     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
714   }\
715 }
716 
717 /*MC
718    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
719        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
720 
721    Synopsis:
722    #include <petscmat.h>
723    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
724 
725    Not Collective
726 
727    Input Parameters:
728 +  map - the row mapping from local numbering to global numbering
729 .  nrows - the number of rows indicated
730 .  rows - the indices of the rows (these values are mapped to the global values)
731 .  cmap - the column mapping from local to global numbering
732 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
733 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
734 .  dnz - the array that will be passed to the matrix preallocation routines
735 -  ozn - the other array passed to the matrix preallocation routines
736 
737    Level: intermediate
738 
739    Notes:
740     See Users-Manual: ch_performance for more details.
741 
742    Do not malloc or free dnz and onz, that is handled internally by these routines
743 
744   Concepts: preallocation^Matrix
745 
746 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
747           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
748 M*/
749 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
750 {\
751   PetscInt __l;\
752   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
753   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
754   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
755   for (__l=0;__l<nrows;__l++) {\
756     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
757   }\
758 }
759 
760 /*MC
761    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
762        inserted using a local number of the rows and columns
763 
764    Synopsis:
765    #include <petscmat.h>
766    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
767 
768    Not Collective
769 
770    Input Parameters:
771 +  map - the row mapping from local numbering to global numbering
772 .  nrows - the number of rows indicated
773 .  rows - the indices of the rows
774 .  cmap - the column mapping from local to global numbering
775 .  ncols - the number of columns in the matrix
776 .  cols - the columns indicated
777 .  dnz - the array that will be passed to the matrix preallocation routines
778 -  ozn - the other array passed to the matrix preallocation routines
779 
780    Level: intermediate
781 
782    Notes:
783     See Users-Manual: ch_performance for more details.
784 
785    Do not malloc or free dnz and onz, that is handled internally by these routines
786 
787   Concepts: preallocation^Matrix
788 
789 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
790           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
791 M*/
792 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
793 {\
794   PetscInt __l;\
795   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
796   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
797   for (__l=0;__l<nrows;__l++) {\
798     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
799   }\
800 }
801 
802 /*MC
803    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
804        inserted using a local number of the rows and columns
805 
806    Synopsis:
807    #include <petscmat.h>
808    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
809 
810    Not Collective
811 
812    Input Parameters:
813 +  map - the mapping between local numbering and global numbering
814 .  nrows - the number of rows indicated
815 .  rows - the indices of the rows
816 .  ncols - the number of columns in the matrix
817 .  cols - the columns indicated
818 .  dnz - the array that will be passed to the matrix preallocation routines
819 -  ozn - the other array passed to the matrix preallocation routines
820 
821    Level: intermediate
822 
823    Notes:
824     See Users-Manual: ch_performance for more details.
825 
826    Do not malloc or free dnz and onz that is handled internally by these routines
827 
828   Concepts: preallocation^Matrix
829 
830 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
831           MatPreallocateInitialize(),  MatPreallocateSetLocal()
832 M*/
833 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
834 {\
835   PetscInt __l;\
836   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
837   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
838   for (__l=0;__l<nrows;__l++) {\
839     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
840   }\
841 }
842 /*MC
843    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
844        inserted using a local number of the rows and columns
845 
846    Synopsis:
847    #include <petscmat.h>
848    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
849 
850    Not Collective
851 
852    Input Parameters:
853 +  row - the row
854 .  ncols - the number of columns in the matrix
855 -  cols - the columns indicated
856 
857    Output Parameters:
858 +  dnz - the array that will be passed to the matrix preallocation routines
859 -  ozn - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz that is handled internally by these routines
867 
868    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
869 
870   Concepts: preallocation^Matrix
871 
872 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
873           MatPreallocateInitialize(), MatPreallocateSetLocal()
874 M*/
875 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
876 { PetscInt __i; \
877   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);\
878   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);\
879   for (__i=0; __i<nc; __i++) {\
880     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
881     else dnz[row - __rstart]++;\
882   }\
883 }
884 
885 /*MC
886    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
887        inserted using a local number of the rows and columns
888 
889    Synopsis:
890    #include <petscmat.h>
891    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
892 
893    Not Collective
894 
895    Input Parameters:
896 +  nrows - the number of rows indicated
897 .  rows - the indices of the rows
898 .  ncols - the number of columns in the matrix
899 .  cols - the columns indicated
900 .  dnz - the array that will be passed to the matrix preallocation routines
901 -  ozn - the other array passed to the matrix preallocation routines
902 
903    Level: intermediate
904 
905    Notes:
906     See Users-Manual: ch_performance for more details.
907 
908    Do not malloc or free dnz and onz that is handled internally by these routines
909 
910    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
911 
912   Concepts: preallocation^Matrix
913 
914 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
915           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
916 M*/
917 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
918 { PetscInt __i; \
919   for (__i=0; __i<nc; __i++) {\
920     if (cols[__i] >= __end) onz[row - __rstart]++; \
921     else if (cols[__i] >= row) dnz[row - __rstart]++;\
922   }\
923 }
924 
925 /*MC
926    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
927 
928    Synopsis:
929    #include <petscmat.h>
930    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
931 
932    Not Collective
933 
934    Input Parameters:
935 .  A - matrix
936 .  row - row where values exist (must be local to this process)
937 .  ncols - number of columns
938 .  cols - columns with nonzeros
939 .  dnz - the array that will be passed to the matrix preallocation routines
940 -  ozn - the other array passed to the matrix preallocation routines
941 
942    Level: intermediate
943 
944    Notes:
945     See Users-Manual: ch_performance for more details.
946 
947    Do not malloc or free dnz and onz that is handled internally by these routines
948 
949    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
950 
951   Concepts: preallocation^Matrix
952 
953 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
954           MatPreallocateSymmetricSetLocalBlock()
955 M*/
956 #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);}
957 
958 
959 /*MC
960    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
961        row in a matrix providing the data that one can use to correctly preallocate the matrix.
962 
963    Synopsis:
964    #include <petscmat.h>
965    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
966 
967    Collective on MPI_Comm
968 
969    Input Parameters:
970 +  dnz - the array that was be passed to the matrix preallocation routines
971 -  ozn - the other array passed to the matrix preallocation routines
972 
973    Level: intermediate
974 
975    Notes:
976     See Users-Manual: ch_performance for more details.
977 
978    Do not malloc or free dnz and onz that is handled internally by these routines
979 
980    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
981 
982   Concepts: preallocation^Matrix
983 
984 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
985           MatPreallocateSymmetricSetLocalBlock()
986 M*/
987 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
988 
989 /* Routines unique to particular data structures */
990 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
991 
992 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
993 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
994 
995 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
996 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
997 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
998 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
999 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1000 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1001 
1002 #define MAT_SKIP_ALLOCATION -4
1003 
1004 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1005 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1006 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1007 
1008 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1009 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1010 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1011 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1012 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1013 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1014 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1015 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1016 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1017 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1018 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1019 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1020 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1021 
1022 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1023 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1024 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1025 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1026 
1027 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1028 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1029 
1030 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1031 
1032 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1033 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1034 /*
1035   These routines are not usually accessed directly, rather solving is
1036   done through the KSP and PC interfaces.
1037 */
1038 
1039 /*J
1040     MatOrderingType - String with the name of a PETSc matrix ordering
1041 
1042    Level: beginner
1043 
1044 .seealso: MatGetOrdering()
1045 J*/
1046 typedef const char* MatOrderingType;
1047 #define MATORDERINGNATURAL     "natural"
1048 #define MATORDERINGND          "nd"
1049 #define MATORDERING1WD         "1wd"
1050 #define MATORDERINGRCM         "rcm"
1051 #define MATORDERINGQMD         "qmd"
1052 #define MATORDERINGROWLENGTH   "rowlength"
1053 #define MATORDERINGWBM         "wbm"
1054 #define MATORDERINGSPECTRAL    "spectral"
1055 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1056 
1057 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1058 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1059 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1060 PETSC_EXTERN PetscFunctionList MatOrderingList;
1061 
1062 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1063 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1064 
1065 /*S
1066     MatFactorShiftType - Numeric Shift.
1067 
1068    Level: beginner
1069 
1070 S*/
1071 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1072 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1073 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1074 
1075 /*S
1076     MatFactorError - indicates what type of error in matrix factor
1077 
1078     Level: beginner
1079 
1080     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1081 
1082 .seealso: MatGetFactor()
1083 S*/
1084 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1085 
1086 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1087 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1088 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1089 
1090 /*S
1091    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1092 
1093    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1094 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1095 
1096    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1097 
1098       You can use MatFactorInfoInitialize() to set default values.
1099 
1100    Level: developer
1101 
1102 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1103           MatFactorInfoInitialize()
1104 
1105 S*/
1106 typedef struct {
1107   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1108   PetscReal     usedt;
1109   PetscReal     dt;             /* drop tolerance */
1110   PetscReal     dtcol;          /* tolerance for pivoting */
1111   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1112   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1113   PetscReal     levels;         /* ICC/ILU(levels) */
1114   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1115                                    factorization may be faster if do not pivot */
1116   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1117   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1118   PetscReal     shiftamount;     /* how large the shift is */
1119 } MatFactorInfo;
1120 
1121 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1122 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1123 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1124 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1125 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1126 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1127 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1128 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1129 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1130 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1131 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1132 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1133 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1134 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1135 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1136 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1137 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1138 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1139 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1140 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1141 
1142 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1143 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1144 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1145 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1146 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1147 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1148 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1149 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1150 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1151 
1152 /*E
1153     MatSORType - What type of (S)SOR to perform
1154 
1155     Level: beginner
1156 
1157    May be bitwise ORd together
1158 
1159    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1160 
1161    MatSORType may be bitwise ORd together, so do not change the numbers
1162 
1163 .seealso: MatSOR()
1164 E*/
1165 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1166               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1167               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1168               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1169 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1170 
1171 /*
1172     These routines are for efficiently computing Jacobians via finite differences.
1173 */
1174 
1175 /*S
1176      MatColoring - Object for managing the coloring of matrices.
1177 
1178    Level: beginner
1179 
1180   Concepts: matrix, coloring
1181 
1182 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1183 S*/
1184 typedef struct _p_MatColoring* MatColoring;
1185 /*J
1186     MatColoringType - String with the name of a PETSc matrix coloring
1187 
1188    Level: beginner
1189 
1190 .seealso: MatColoringSetType(), MatColoring
1191 J*/
1192 
1193 typedef const  char*           MatColoringType;
1194 #define MATCOLORINGJP      "jp"
1195 #define MATCOLORINGPOWER   "power"
1196 #define MATCOLORINGNATURAL "natural"
1197 #define MATCOLORINGSL      "sl"
1198 #define MATCOLORINGLF      "lf"
1199 #define MATCOLORINGID      "id"
1200 #define MATCOLORINGGREEDY  "greedy"
1201 
1202 /*E
1203    MatColoringWeightType - Type of weight scheme
1204 
1205     Not Collective
1206 
1207 +   MAT_COLORING_RANDOM  - Random weights
1208 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1209 -   MAT_COLORING_LF      - Last-first weighting.
1210 
1211     Level: intermediate
1212 
1213    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1214 
1215 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1216 E*/
1217 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1218 
1219 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1220 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1221 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1222 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1223 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1224 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1225 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1226 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1227 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1228 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1229 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1230 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1231 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1232 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1233 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1234 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1235 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1236 
1237 /*S
1238      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1239         and coloring
1240 
1241    Level: beginner
1242 
1243   Concepts: coloring, sparse Jacobian, finite differences
1244 
1245 .seealso:  MatFDColoringCreate()
1246 S*/
1247 typedef struct _p_MatFDColoring* MatFDColoring;
1248 
1249 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1250 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1251 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1252 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1253 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1254 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1255 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1256 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1257 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1258 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1259 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1260 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1261 
1262 
1263 /*S
1264      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1265 
1266    Level: beginner
1267 
1268   Concepts: coloring, sparse matrix product
1269 
1270 .seealso:  MatTransposeColoringCreate()
1271 S*/
1272 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1273 
1274 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1275 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1276 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1277 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1278 
1279 /*
1280     These routines are for partitioning matrices: currently used only
1281   for adjacency matrix, MatCreateMPIAdj().
1282 */
1283 
1284 /*S
1285      MatPartitioning - Object for managing the partitioning of a matrix or graph
1286 
1287    Level: beginner
1288 
1289   Concepts: partitioning
1290 
1291 .seealso:  MatPartitioningCreate(), MatPartitioningType
1292 S*/
1293 typedef struct _p_MatPartitioning* MatPartitioning;
1294 
1295 /*J
1296     MatPartitioningType - String with the name of a PETSc matrix partitioning
1297 
1298    Level: beginner
1299 dm
1300 .seealso: MatPartitioningCreate(), MatPartitioning
1301 J*/
1302 typedef const char* MatPartitioningType;
1303 #define MATPARTITIONINGCURRENT  "current"
1304 #define MATPARTITIONINGAVERAGE   "average"
1305 #define MATPARTITIONINGSQUARE   "square"
1306 #define MATPARTITIONINGPARMETIS "parmetis"
1307 #define MATPARTITIONINGCHACO    "chaco"
1308 #define MATPARTITIONINGPARTY    "party"
1309 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1310 #define MATPARTITIONINGHIERARCH  "hierarch"
1311 
1312 
1313 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1321 
1322 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1323 
1324 
1325 
1326 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1329 
1330 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1333 
1334 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1335 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1336 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1337 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1338 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1339 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1340 
1341 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1352 
1353 #define MP_PARTY_OPT "opt"
1354 #define MP_PARTY_LIN "lin"
1355 #define MP_PARTY_SCA "sca"
1356 #define MP_PARTY_RAN "ran"
1357 #define MP_PARTY_GBF "gbf"
1358 #define MP_PARTY_GCF "gcf"
1359 #define MP_PARTY_BUB "bub"
1360 #define MP_PARTY_DEF "def"
1361 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1362 #define MP_PARTY_HELPFUL_SETS "hs"
1363 #define MP_PARTY_KERNIGHAN_LIN "kl"
1364 #define MP_PARTY_NONE "no"
1365 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1366 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1367 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1368 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1369 
1370 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1371 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1372 
1373 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1377 
1378 /*
1379  * hierarchical partitioning
1380  */
1381 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1384 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1385 
1386 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1387 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1388 
1389 /*
1390     If you add entries here you must also add them to petsc/finclude/petscmat.h
1391 */
1392 typedef enum { MATOP_SET_VALUES=0,
1393                MATOP_GET_ROW=1,
1394                MATOP_RESTORE_ROW=2,
1395                MATOP_MULT=3,
1396                MATOP_MULT_ADD=4,
1397                MATOP_MULT_TRANSPOSE=5,
1398                MATOP_MULT_TRANSPOSE_ADD=6,
1399                MATOP_SOLVE=7,
1400                MATOP_SOLVE_ADD=8,
1401                MATOP_SOLVE_TRANSPOSE=9,
1402                MATOP_SOLVE_TRANSPOSE_ADD=10,
1403                MATOP_LUFACTOR=11,
1404                MATOP_CHOLESKYFACTOR=12,
1405                MATOP_SOR=13,
1406                MATOP_TRANSPOSE=14,
1407                MATOP_GETINFO=15,
1408                MATOP_EQUAL=16,
1409                MATOP_GET_DIAGONAL=17,
1410                MATOP_DIAGONAL_SCALE=18,
1411                MATOP_NORM=19,
1412                MATOP_ASSEMBLY_BEGIN=20,
1413                MATOP_ASSEMBLY_END=21,
1414                MATOP_SET_OPTION=22,
1415                MATOP_ZERO_ENTRIES=23,
1416                MATOP_ZERO_ROWS=24,
1417                MATOP_LUFACTOR_SYMBOLIC=25,
1418                MATOP_LUFACTOR_NUMERIC=26,
1419                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1420                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1421                MATOP_SETUP_PREALLOCATION=29,
1422                MATOP_ILUFACTOR_SYMBOLIC=30,
1423                MATOP_ICCFACTOR_SYMBOLIC=31,
1424                MATOP_GET_DIAGONAL_BLOCK=32,
1425                /* MATOP_PLACEHOLDER_33=33, */
1426                MATOP_DUPLICATE=34,
1427                MATOP_FORWARD_SOLVE=35,
1428                MATOP_BACKWARD_SOLVE=36,
1429                MATOP_ILUFACTOR=37,
1430                MATOP_ICCFACTOR=38,
1431                MATOP_AXPY=39,
1432                MATOP_CREATE_SUBMATRICES=40,
1433                MATOP_INCREASE_OVERLAP=41,
1434                MATOP_GET_VALUES=42,
1435                MATOP_COPY=43,
1436                MATOP_GET_ROW_MAX=44,
1437                MATOP_SCALE=45,
1438                MATOP_SHIFT=46,
1439                MATOP_DIAGONAL_SET=47,
1440                MATOP_ZERO_ROWS_COLUMNS=48,
1441                MATOP_SET_RANDOM=49,
1442                MATOP_GET_ROW_IJ=50,
1443                MATOP_RESTORE_ROW_IJ=51,
1444                MATOP_GET_COLUMN_IJ=52,
1445                MATOP_RESTORE_COLUMN_IJ=53,
1446                MATOP_FDCOLORING_CREATE=54,
1447                MATOP_COLORING_PATCH=55,
1448                MATOP_SET_UNFACTORED=56,
1449                MATOP_PERMUTE=57,
1450                MATOP_SET_VALUES_BLOCKED=58,
1451                MATOP_CREATE_SUBMATRIX=59,
1452                MATOP_DESTROY=60,
1453                MATOP_VIEW=61,
1454                MATOP_CONVERT_FROM=62,
1455                MATOP_MATMAT_MULT=63,
1456                MATOP_MATMAT_MULT_SYMBOLIC=64,
1457                MATOP_MATMAT_MULT_NUMERIC=65,
1458                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1459                MATOP_SET_VALUES_LOCAL=67,
1460                MATOP_ZERO_ROWS_LOCAL=68,
1461                MATOP_GET_ROW_MAX_ABS=69,
1462                MATOP_GET_ROW_MIN_ABS=70,
1463                MATOP_CONVERT=71,
1464                MATOP_SET_COLORING=72,
1465                /* MATOP_PLACEHOLDER_73=73, */
1466                MATOP_SET_VALUES_ADIFOR=74,
1467                MATOP_FD_COLORING_APPLY=75,
1468                MATOP_SET_FROM_OPTIONS=76,
1469                MATOP_MULT_CONSTRAINED=77,
1470                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1471                MATOP_FIND_ZERO_DIAGONALS=79,
1472                MATOP_MULT_MULTIPLE=80,
1473                MATOP_SOLVE_MULTIPLE=81,
1474                MATOP_GET_INERTIA=82,
1475                MATOP_LOAD=83,
1476                MATOP_IS_SYMMETRIC=84,
1477                MATOP_IS_HERMITIAN=85,
1478                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1479                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1480                MATOP_CREATE_VECS=88,
1481                MATOP_MAT_MULT=89,
1482                MATOP_MAT_MULT_SYMBOLIC=90,
1483                MATOP_MAT_MULT_NUMERIC=91,
1484                MATOP_PTAP=92,
1485                MATOP_PTAP_SYMBOLIC=93,
1486                MATOP_PTAP_NUMERIC=94,
1487                MATOP_MAT_TRANSPOSE_MULT=95,
1488                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1489                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1490                /* MATOP_PLACEHOLDER_98=98, */
1491                /* MATOP_PLACEHOLDER_99=99, */
1492                /* MATOP_PLACEHOLDER_100=100, */
1493                /* MATOP_PLACEHOLDER_101=101, */
1494                MATOP_CONJUGATE=102,
1495                /* MATOP_PLACEHOLDER_103=103, */
1496                MATOP_SET_VALUES_ROW=104,
1497                MATOP_REAL_PART=105,
1498                MATOP_IMAGINARY_PART=106,
1499                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1500                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1501                MATOP_MAT_SOLVE=109,
1502                MATOP_MAT_SOLVE_TRANSPOSE=110,
1503                MATOP_GET_ROW_MIN=111,
1504                MATOP_GET_COLUMN_VECTOR=112,
1505                MATOP_MISSING_DIAGONAL=113,
1506                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1507                MATOP_CREATE=115,
1508                MATOP_GET_GHOSTS=116,
1509                MATOP_GET_LOCAL_SUB_MATRIX=117,
1510                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1511                MATOP_MULT_DIAGONAL_BLOCK=119,
1512                MATOP_HERMITIAN_TRANSPOSE=120,
1513                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1514                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1515                MATOP_GET_MULTI_PROC_BLOCK=123,
1516                MATOP_FIND_NONZERO_ROWS=124,
1517                MATOP_GET_COLUMN_NORMS=125,
1518                MATOP_INVERT_BLOCK_DIAGONAL=126,
1519                /* MATOP_PLACEHOLDER_127=127, */
1520                MATOP_CREATE_SUB_MATRICES_MPI=128,
1521                MATOP_SET_VALUES_BATCH=129,
1522                MATOP_TRANSPOSE_MAT_MULT=130,
1523                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1524                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1525                MATOP_TRANSPOSE_COLORING_CREAT=133,
1526                MATOP_TRANS_COLORING_APPLY_SPT=134,
1527                MATOP_TRANS_COLORING_APPLY_DEN=135,
1528                MATOP_RART=136,
1529                MATOP_RART_SYMBOLIC=137,
1530                MATOP_RART_NUMERIC=138,
1531                MATOP_SET_BLOCK_SIZES=139,
1532                MATOP_AYPX=140,
1533                MATOP_RESIDUAL=141,
1534                MATOP_FDCOLORING_SETUP=142,
1535                MATOP_MPICONCATENATESEQ=144,
1536                MATOP_DESTROYSUBMATRICES=145
1537              } MatOperation;
1538 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1539 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1540 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1541 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1542 
1543 /*
1544    Codes for matrices stored on disk. By default they are
1545    stored in a universal format. By changing the format with
1546    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1547    be stored in a way natural for the matrix, for example dense matrices
1548    would be stored as dense. Matrices stored this way may only be
1549    read into matrices of the same type.
1550 */
1551 #define MATRIX_BINARY_FORMAT_DENSE -1
1552 
1553 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1554 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1556 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1557 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1558 
1559 /*S
1560      MatNullSpace - Object that removes a null space from a vector, i.e.
1561          orthogonalizes the vector to a subsapce
1562 
1563    Level: advanced
1564 
1565   Concepts: matrix; linear operator, null space
1566 
1567   Users manual sections:
1568 .   sec_singular
1569 
1570 .seealso:  MatNullSpaceCreate()
1571 S*/
1572 typedef struct _p_MatNullSpace* MatNullSpace;
1573 
1574 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1575 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1576 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1577 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1578 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1579 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1580 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1581 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1582 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1583 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1584 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1585 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1586 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1587 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1588 
1589 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1590 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1591 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1592 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1593 
1594 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1595 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1596 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1597 
1598 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1599 
1600 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1601 
1602 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1603 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1604 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1605 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1606 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1607 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1608 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1609 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1610 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1611 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1612 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1613 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1614 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1615 
1616 /*S
1617     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1618               Jacobian vector products
1619 
1620     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1621 
1622            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1623 
1624     Level: developer
1625 
1626 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1627 S*/
1628 typedef struct _p_MatMFFD* MatMFFD;
1629 
1630 /*J
1631     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1632 
1633    Level: beginner
1634 
1635 .seealso: MatMFFDSetType(), MatMFFDRegister()
1636 J*/
1637 typedef const char* MatMFFDType;
1638 #define MATMFFD_DS  "ds"
1639 #define MATMFFD_WP  "wp"
1640 
1641 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1642 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1643 
1644 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1645 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1646 
1647 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1648 
1649 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1650 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1651 
1652 /*
1653    PETSc interface to MUMPS
1654 */
1655 #ifdef PETSC_HAVE_MUMPS
1656 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1657 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1658 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1659 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1660 
1661 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1662 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1663 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1664 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1665 #endif
1666 
1667 /*
1668    PETSc interface to Mkl_Pardiso
1669 */
1670 #ifdef PETSC_HAVE_MKL_PARDISO
1671 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1672 #endif
1673 
1674 /*
1675    PETSc interface to Mkl_CPardiso
1676 */
1677 #ifdef PETSC_HAVE_MKL_CPARDISO
1678 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1679 #endif
1680 
1681 /*
1682    PETSc interface to SUPERLU
1683 */
1684 #ifdef PETSC_HAVE_SUPERLU
1685 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1686 #endif
1687 
1688 /*
1689    PETSc interface to SUPERLU_DIST
1690 */
1691 #ifdef PETSC_HAVE_SUPERLU_DIST
1692 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1693 #endif
1694 
1695 /*
1696    PETSc interface to STRUMPACK
1697 */
1698 #ifdef PETSC_HAVE_STRUMPACK
1699 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1700 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1701 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1702 #endif
1703 
1704 
1705 #ifdef PETSC_HAVE_CUDA
1706 /*E
1707     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1708     matrices.
1709 
1710     Not Collective
1711 
1712 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1713 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1714 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1715 
1716     Level: intermediate
1717 
1718    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1719 
1720 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1721 E*/
1722 
1723 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1724 
1725 /* these will be strings associated with enumerated type defined above */
1726 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1727 
1728 /*E
1729     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1730     matrices whose operation should use a particular storage format.
1731 
1732     Not Collective
1733 
1734 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1735 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1736 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1737 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1738 
1739     Level: intermediate
1740 
1741 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1742 E*/
1743 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1744 
1745 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1746 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1747 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1748 #endif
1749 
1750 #if defined(PETSC_HAVE_CUSP)
1751 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1752 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1753 
1754 /*E
1755     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1756     matrices.
1757 
1758     Not Collective
1759 
1760 +   MAT_CUSP_CSR - Compressed Sparse Row
1761 .   MAT_CUSP_DIA - Diagonal
1762 -   MAT_CUSP_ELL - Ellpack
1763 
1764     Level: intermediate
1765 
1766    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1767 
1768 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1769 E*/
1770 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1771 
1772 /* these will be strings associated with enumerated type defined above */
1773 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1774 
1775 /*E
1776     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1777     matrices whose operation should use a particular storage format.
1778 
1779     Not Collective
1780 
1781 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1782 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1783 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1784 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1785 
1786     Level: intermediate
1787 
1788    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1789 
1790 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1791 E*/
1792 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1793 
1794 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1795 #endif
1796 
1797 #if defined(PETSC_HAVE_VIENNACL)
1798 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1799 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1800 #endif
1801 
1802 /*
1803    PETSc interface to FFTW
1804 */
1805 #if defined(PETSC_HAVE_FFTW)
1806 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1807 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1808 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1809 #endif
1810 
1811 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1812 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1813 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1814 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1815 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1816 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1817 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1818 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1819 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1820 
1821 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1822 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1823 
1824 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1825 
1826 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1827 
1828 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1829 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1830 
1831 #endif
1832