xref: /petsc/include/petscmat.h (revision b41ce5d507ea9a58bfa83cf403107a702e77a67d)
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 MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
232 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
233 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
234 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
236 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
237 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
238 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
239 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 #if defined(PETSC_HAVE_HYPRE)
252 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
253 #endif
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
279 
280    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).
281    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.
282 
283    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
284 
285    Fortran usage is different, see MatSetValuesStencil() for details.
286 
287    Level: beginner
288 
289   Concepts: matrix; linear operator
290 
291 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
292 S*/
293 typedef struct {
294   PetscInt k,j,i,c;
295 } MatStencil;
296 
297 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
299 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
300 
301 /*E
302     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
303      to continue to add or insert values to it
304 
305     Level: beginner
306 
307 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
308 E*/
309 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
310 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
312 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
313 
314 
315 
316 /*E
317     MatOption - Options that may be set for a matrix and its behavior or storage
318 
319     Level: beginner
320 
321    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
322    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
323 
324    Developer Notes: Entries that are negative need not be called collectively by all processes.
325 
326 .seealso: MatSetOption()
327 E*/
328 typedef enum {MAT_OPTION_MIN = -3,
329               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
330               MAT_ROW_ORIENTED = -1,
331               MAT_SYMMETRIC = 1,
332               MAT_STRUCTURALLY_SYMMETRIC = 2,
333               MAT_NEW_DIAGONALS = 3,
334               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
335               MAT_USE_HASH_TABLE = 5,
336               MAT_KEEP_NONZERO_PATTERN = 6,
337               MAT_IGNORE_ZERO_ENTRIES = 7,
338               MAT_USE_INODES = 8,
339               MAT_HERMITIAN = 9,
340               MAT_SYMMETRY_ETERNAL = 10,
341               MAT_NEW_NONZERO_LOCATION_ERR = 11,
342               MAT_IGNORE_LOWER_TRIANGULAR = 12,
343               MAT_ERROR_LOWER_TRIANGULAR = 13,
344               MAT_GETROW_UPPERTRIANGULAR = 14,
345               MAT_SPD = 15,
346               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
347               MAT_NO_OFF_PROC_ENTRIES = 17,
348               MAT_NEW_NONZERO_LOCATIONS = 18,
349               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
350               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
351               MAT_SUBMAT_SINGLEIS = 21,
352               MAT_STRUCTURE_ONLY = 22,
353               MAT_OPTION_MAX = 23} MatOption;
354 
355 PETSC_EXTERN const char *const *MatOptions;
356 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
357 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
358 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
359 
360 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
361 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
363 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
364 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
365 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
369 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
370 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
371 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,const MatType,MatReuse,Mat *));
372 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
373 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
374 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
375 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
376 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
377 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
379 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
380 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
381 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
382 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
383 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
384 
385 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
391 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
392 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
393 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
394 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
395 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
396 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
397 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
398 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
399 
400 /*E
401     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
402   its numerical values copied over or just its nonzero structure.
403 
404     Level: beginner
405 
406    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
407 
408 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
409 $                               with zeros for the numerical values.
410 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
411 $                               and with the same numerical values.
412 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
413 $                               and does not copy it, using zeros for the numerical values. The parent and
414 $                               child matrices will share their index (i and j) arrays, and you cannot
415 $                               insert new nonzero entries into either matrix.
416 
417 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
418 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
419 
420 .seealso: MatDuplicate()
421 E*/
422 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
423 
424 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
425 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
426 
427 
428 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
429 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
430 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
431 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
432 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
433 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
434 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
435 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
436 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
437 
438 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
439 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
440 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
441 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
442 
443 /*S
444      MatInfo - Context of matrix information, used with MatGetInfo()
445 
446    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
447 
448    Level: intermediate
449 
450   Concepts: matrix^nonzero information
451 
452 .seealso:  MatGetInfo(), MatInfoType
453 S*/
454 typedef struct {
455   PetscLogDouble block_size;                         /* block size */
456   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
457   PetscLogDouble memory;                             /* memory allocated */
458   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
459   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
460   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
461   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
462 } MatInfo;
463 
464 /*E
465     MatInfoType - Indicates if you want information about the local part of the matrix,
466      the entire parallel matrix or the maximum over all the local parts.
467 
468     Level: beginner
469 
470    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
471 
472 .seealso: MatGetInfo(), MatInfo
473 E*/
474 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
475 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
476 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
477 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
478 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
479 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
480 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
481 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
482 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
483 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
484 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
485 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
487 
488 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
489 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
490 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
491 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
492 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
493 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
494 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
495 
496 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
497 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
498 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
499 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
500 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
501 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
502 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
503 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
504 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
505 
506 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
507 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
508 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
509 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
510 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
511 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
512 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
513 
514 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
515 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);}
516 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
517 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);}
518 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
519 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
520 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
521 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);}
522 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
523 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
524 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
525 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
526 
527 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
528 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
529 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
531 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
532 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
533 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
534 
535 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
536 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
537 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
538 
539 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
540 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
541 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
542 
543 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
544 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
545 
546 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
547 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
548 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
549 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
550 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
551 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
552 
553 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
554 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
555 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
556 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
557 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
558 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
559 
560 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
561 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
562 
563 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
564 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
565 
566 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
567 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
568 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
569 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
571 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
572 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
573 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
574 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
575 
576 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
577 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
578 
579 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
580 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
581 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
582 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
583 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
584 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
585 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
586 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
587 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
588 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
589 
590 /*MC
591    MatSetValue - Set a single entry into a matrix.
592 
593    Not collective
594 
595    Synopsis:
596      #include <petscmat.h>
597      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
598 
599    Input Parameters:
600 +  m - the matrix
601 .  row - the row location of the entry
602 .  col - the column location of the entry
603 .  value - the value to insert
604 -  mode - either INSERT_VALUES or ADD_VALUES
605 
606    Notes:
607    For efficiency one should use MatSetValues() and set several or many
608    values simultaneously if possible.
609 
610    Level: beginner
611 
612 .seealso: MatSetValues(), MatSetValueLocal()
613 M*/
614 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
615 
616 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
617 
618 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
619 
620 /*MC
621    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
622        row in a matrix providing the data that one can use to correctly preallocate the matrix.
623 
624    Synopsis:
625    #include <petscmat.h>
626    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
627 
628    Collective on MPI_Comm
629 
630    Input Parameters:
631 +  comm - the communicator that will share the eventually allocated matrix
632 .  nrows - the number of LOCAL rows in the matrix
633 -  ncols - the number of LOCAL columns in the matrix
634 
635    Output Parameters:
636 +  dnz - the array that will be passed to the matrix preallocation routines
637 -  ozn - the other array passed to the matrix preallocation routines
638 
639    Level: intermediate
640 
641    Notes:
642     See Users-Manual: ch_performance for more details.
643 
644    Do not malloc or free dnz and onz, that is handled internally by these routines
645 
646    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
647 
648    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
649 
650   Concepts: preallocation^Matrix
651 
652 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
653           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
654 M*/
655 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
656 { \
657   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
658   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
659   __start = 0; __end = __start;                                         \
660   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
661   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
662 
663 /*MC
664    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
665        inserted using a local number of the rows and columns
666 
667    Synopsis:
668    #include <petscmat.h>
669    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
670 
671    Not Collective
672 
673    Input Parameters:
674 +  map - the row mapping from local numbering to global numbering
675 .  nrows - the number of rows indicated
676 .  rows - the indices of the rows
677 .  cmap - the column mapping from local to global numbering
678 .  ncols - the number of columns in the matrix
679 .  cols - the columns indicated
680 .  dnz - the array that will be passed to the matrix preallocation routines
681 -  ozn - the other array passed to the matrix preallocation routines
682 
683    Level: intermediate
684 
685    Notes:
686     See Users-Manual: ch_performance for more details.
687 
688    Do not malloc or free dnz and onz, that is handled internally by these routines
689 
690   Concepts: preallocation^Matrix
691 
692 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
693           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
694 M*/
695 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
696 {\
697   PetscInt __l;\
698   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
699   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
700   for (__l=0;__l<nrows;__l++) {\
701     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
702   }\
703 }
704 
705 /*MC
706    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
707        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
708 
709    Synopsis:
710    #include <petscmat.h>
711    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
712 
713    Not Collective
714 
715    Input Parameters:
716 +  map - the row mapping from local numbering to global numbering
717 .  nrows - the number of rows indicated
718 .  rows - the indices of the rows (these values are mapped to the global values)
719 .  cmap - the column mapping from local to global numbering
720 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
721 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
722 .  dnz - the array that will be passed to the matrix preallocation routines
723 -  ozn - the other array passed to the matrix preallocation routines
724 
725    Level: intermediate
726 
727    Notes:
728     See Users-Manual: ch_performance for more details.
729 
730    Do not malloc or free dnz and onz, that is handled internally by these routines
731 
732   Concepts: preallocation^Matrix
733 
734 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
735           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
736 M*/
737 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
738 {\
739   PetscInt __l;\
740   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
741   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
742   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
743   for (__l=0;__l<nrows;__l++) {\
744     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
745   }\
746 }
747 
748 /*MC
749    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
750        inserted using a local number of the rows and columns
751 
752    Synopsis:
753    #include <petscmat.h>
754    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
755 
756    Not Collective
757 
758    Input Parameters:
759 +  map - the row mapping from local numbering to global numbering
760 .  nrows - the number of rows indicated
761 .  rows - the indices of the rows
762 .  cmap - the column mapping from local to global numbering
763 .  ncols - the number of columns in the matrix
764 .  cols - the columns indicated
765 .  dnz - the array that will be passed to the matrix preallocation routines
766 -  ozn - the other array passed to the matrix preallocation routines
767 
768    Level: intermediate
769 
770    Notes:
771     See Users-Manual: ch_performance for more details.
772 
773    Do not malloc or free dnz and onz, that is handled internally by these routines
774 
775   Concepts: preallocation^Matrix
776 
777 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
778           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
779 M*/
780 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
781 {\
782   PetscInt __l;\
783   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
784   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
785   for (__l=0;__l<nrows;__l++) {\
786     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
787   }\
788 }
789 
790 /*MC
791    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
792        inserted using a local number of the rows and columns
793 
794    Synopsis:
795    #include <petscmat.h>
796    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
797 
798    Not Collective
799 
800    Input Parameters:
801 +  map - the mapping between local numbering and global numbering
802 .  nrows - the number of rows indicated
803 .  rows - the indices of the rows
804 .  ncols - the number of columns in the matrix
805 .  cols - the columns indicated
806 .  dnz - the array that will be passed to the matrix preallocation routines
807 -  ozn - the other array passed to the matrix preallocation routines
808 
809    Level: intermediate
810 
811    Notes:
812     See Users-Manual: ch_performance for more details.
813 
814    Do not malloc or free dnz and onz that is handled internally by these routines
815 
816   Concepts: preallocation^Matrix
817 
818 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
819           MatPreallocateInitialize(),  MatPreallocateSetLocal()
820 M*/
821 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
822 {\
823   PetscInt __l;\
824   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
825   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
826   for (__l=0;__l<nrows;__l++) {\
827     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
828   }\
829 }
830 /*MC
831    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
832        inserted using a local number of the rows and columns
833 
834    Synopsis:
835    #include <petscmat.h>
836    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
837 
838    Not Collective
839 
840    Input Parameters:
841 +  row - the row
842 .  ncols - the number of columns in the matrix
843 -  cols - the columns indicated
844 
845    Output Parameters:
846 +  dnz - the array that will be passed to the matrix preallocation routines
847 -  ozn - the other array passed to the matrix preallocation routines
848 
849    Level: intermediate
850 
851    Notes:
852     See Users-Manual: ch_performance for more details.
853 
854    Do not malloc or free dnz and onz that is handled internally by these routines
855 
856    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
857 
858   Concepts: preallocation^Matrix
859 
860 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
861           MatPreallocateInitialize(), MatPreallocateSetLocal()
862 M*/
863 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
864 { PetscInt __i; \
865   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);\
866   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);\
867   for (__i=0; __i<nc; __i++) {\
868     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
869     else dnz[row - __rstart]++;\
870   }\
871 }
872 
873 /*MC
874    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
875        inserted using a local number of the rows and columns
876 
877    Synopsis:
878    #include <petscmat.h>
879    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
880 
881    Not Collective
882 
883    Input Parameters:
884 +  nrows - the number of rows indicated
885 .  rows - the indices of the rows
886 .  ncols - the number of columns in the matrix
887 .  cols - the columns indicated
888 .  dnz - the array that will be passed to the matrix preallocation routines
889 -  ozn - the other array passed to the matrix preallocation routines
890 
891    Level: intermediate
892 
893    Notes:
894     See Users-Manual: ch_performance for more details.
895 
896    Do not malloc or free dnz and onz that is handled internally by these routines
897 
898    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
899 
900   Concepts: preallocation^Matrix
901 
902 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
903           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
904 M*/
905 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
906 { PetscInt __i; \
907   for (__i=0; __i<nc; __i++) {\
908     if (cols[__i] >= __end) onz[row - __rstart]++; \
909     else if (cols[__i] >= row) dnz[row - __rstart]++;\
910   }\
911 }
912 
913 /*MC
914    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
915 
916    Synopsis:
917    #include <petscmat.h>
918    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
919 
920    Not Collective
921 
922    Input Parameters:
923 .  A - matrix
924 .  row - row where values exist (must be local to this process)
925 .  ncols - number of columns
926 .  cols - columns with nonzeros
927 .  dnz - the array that will be passed to the matrix preallocation routines
928 -  ozn - the other array passed to the matrix preallocation routines
929 
930    Level: intermediate
931 
932    Notes:
933     See Users-Manual: ch_performance for more details.
934 
935    Do not malloc or free dnz and onz that is handled internally by these routines
936 
937    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
938 
939   Concepts: preallocation^Matrix
940 
941 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
942           MatPreallocateSymmetricSetLocalBlock()
943 M*/
944 #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);}
945 
946 
947 /*MC
948    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
949        row in a matrix providing the data that one can use to correctly preallocate the matrix.
950 
951    Synopsis:
952    #include <petscmat.h>
953    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
954 
955    Collective on MPI_Comm
956 
957    Input Parameters:
958 +  dnz - the array that was be passed to the matrix preallocation routines
959 -  ozn - the other array passed to the matrix preallocation routines
960 
961    Level: intermediate
962 
963    Notes:
964     See Users-Manual: ch_performance for more details.
965 
966    Do not malloc or free dnz and onz that is handled internally by these routines
967 
968    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
969 
970   Concepts: preallocation^Matrix
971 
972 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
973           MatPreallocateSymmetricSetLocalBlock()
974 M*/
975 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
976 
977 /* Routines unique to particular data structures */
978 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
979 
980 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
981 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
982 
983 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
984 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
985 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
986 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
987 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
988 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
989 
990 #define MAT_SKIP_ALLOCATION -4
991 
992 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
993 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
994 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
995 
996 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
997 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
998 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
999 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1000 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1001 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1002 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1003 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1004 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1005 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1006 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1007 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1008 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1009 
1010 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1011 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1012 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1013 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1014 
1015 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1016 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1017 
1018 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1019 
1020 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1021 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1022 /*
1023   These routines are not usually accessed directly, rather solving is
1024   done through the KSP and PC interfaces.
1025 */
1026 
1027 /*J
1028     MatOrderingType - String with the name of a PETSc matrix ordering
1029 
1030    Level: beginner
1031 
1032 .seealso: MatGetOrdering()
1033 J*/
1034 typedef const char* MatOrderingType;
1035 #define MATORDERINGNATURAL     "natural"
1036 #define MATORDERINGND          "nd"
1037 #define MATORDERING1WD         "1wd"
1038 #define MATORDERINGRCM         "rcm"
1039 #define MATORDERINGQMD         "qmd"
1040 #define MATORDERINGROWLENGTH   "rowlength"
1041 #define MATORDERINGWBM         "wbm"
1042 #define MATORDERINGSPECTRAL    "spectral"
1043 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1044 
1045 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1046 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1047 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1048 PETSC_EXTERN PetscFunctionList MatOrderingList;
1049 
1050 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1051 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1052 
1053 /*S
1054     MatFactorShiftType - Numeric Shift.
1055 
1056    Level: beginner
1057 
1058 S*/
1059 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1060 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1061 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1062 
1063 /*S
1064     MatFactorError - indicates what type of error in matrix factor
1065 
1066     Level: beginner
1067 
1068     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1069 
1070 .seealso: MatGetFactor()
1071 S*/
1072 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1073 
1074 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1075 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1076 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1077 
1078 /*S
1079    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1080 
1081    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1082 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1083 
1084    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1085 
1086       You can use MatFactorInfoInitialize() to set default values.
1087 
1088    Level: developer
1089 
1090 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1091           MatFactorInfoInitialize()
1092 
1093 S*/
1094 typedef struct {
1095   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1096   PetscReal     usedt;
1097   PetscReal     dt;             /* drop tolerance */
1098   PetscReal     dtcol;          /* tolerance for pivoting */
1099   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1100   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1101   PetscReal     levels;         /* ICC/ILU(levels) */
1102   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1103                                    factorization may be faster if do not pivot */
1104   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1105   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1106   PetscReal     shiftamount;     /* how large the shift is */
1107 } MatFactorInfo;
1108 
1109 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1110 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1111 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1112 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1113 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1114 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1115 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1116 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1117 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1118 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1119 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1120 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1122 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1123 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1124 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1125 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1126 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1127 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1128 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1129 
1130 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1131 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1132 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1133 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1134 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1135 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1136 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1137 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1138 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1139 
1140 /*E
1141     MatSORType - What type of (S)SOR to perform
1142 
1143     Level: beginner
1144 
1145    May be bitwise ORd together
1146 
1147    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1148 
1149    MatSORType may be bitwise ORd together, so do not change the numbers
1150 
1151 .seealso: MatSOR()
1152 E*/
1153 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1154               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1155               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1156               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1157 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1158 
1159 /*
1160     These routines are for efficiently computing Jacobians via finite differences.
1161 */
1162 
1163 /*S
1164      MatColoring - Object for managing the coloring of matrices.
1165 
1166    Level: beginner
1167 
1168   Concepts: matrix, coloring
1169 
1170 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1171 S*/
1172 typedef struct _p_MatColoring* MatColoring;
1173 /*J
1174     MatColoringType - String with the name of a PETSc matrix coloring
1175 
1176    Level: beginner
1177 
1178 .seealso: MatColoringSetType(), MatColoring
1179 J*/
1180 
1181 typedef const  char*           MatColoringType;
1182 #define MATCOLORINGJP      "jp"
1183 #define MATCOLORINGPOWER   "power"
1184 #define MATCOLORINGNATURAL "natural"
1185 #define MATCOLORINGSL      "sl"
1186 #define MATCOLORINGLF      "lf"
1187 #define MATCOLORINGID      "id"
1188 #define MATCOLORINGGREEDY  "greedy"
1189 
1190 /*E
1191    MatColoringWeightType - Type of weight scheme
1192 
1193     Not Collective
1194 
1195 +   MAT_COLORING_RANDOM  - Random weights
1196 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1197 -   MAT_COLORING_LF      - Last-first weighting.
1198 
1199     Level: intermediate
1200 
1201    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1202 
1203 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1204 E*/
1205 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1206 
1207 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1208 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1209 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1210 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1211 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1212 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1213 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1214 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1215 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1216 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1217 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1218 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1219 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1220 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1221 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1222 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1223 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1224 
1225 /*S
1226      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1227         and coloring
1228 
1229    Level: beginner
1230 
1231   Concepts: coloring, sparse Jacobian, finite differences
1232 
1233 .seealso:  MatFDColoringCreate()
1234 S*/
1235 typedef struct _p_MatFDColoring* MatFDColoring;
1236 
1237 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1238 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1239 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1240 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1241 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1242 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1243 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1244 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1245 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1246 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1247 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1248 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1249 
1250 
1251 /*S
1252      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1253 
1254    Level: beginner
1255 
1256   Concepts: coloring, sparse matrix product
1257 
1258 .seealso:  MatTransposeColoringCreate()
1259 S*/
1260 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1261 
1262 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1263 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1264 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1265 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1266 
1267 /*
1268     These routines are for partitioning matrices: currently used only
1269   for adjacency matrix, MatCreateMPIAdj().
1270 */
1271 
1272 /*S
1273      MatPartitioning - Object for managing the partitioning of a matrix or graph
1274 
1275    Level: beginner
1276 
1277   Concepts: partitioning
1278 
1279 .seealso:  MatPartitioningCreate(), MatPartitioningType
1280 S*/
1281 typedef struct _p_MatPartitioning* MatPartitioning;
1282 
1283 /*J
1284     MatPartitioningType - String with the name of a PETSc matrix partitioning
1285 
1286    Level: beginner
1287 dm
1288 .seealso: MatPartitioningCreate(), MatPartitioning
1289 J*/
1290 typedef const char* MatPartitioningType;
1291 #define MATPARTITIONINGCURRENT  "current"
1292 #define MATPARTITIONINGAVERAGE   "average"
1293 #define MATPARTITIONINGSQUARE   "square"
1294 #define MATPARTITIONINGPARMETIS "parmetis"
1295 #define MATPARTITIONINGCHACO    "chaco"
1296 #define MATPARTITIONINGPARTY    "party"
1297 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1298 #define MATPARTITIONINGHIERARCH  "hierarch"
1299 
1300 
1301 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1305 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1306 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1309 
1310 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1311 
1312 
1313 
1314 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1317 
1318 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1321 
1322 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1323 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1324 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1325 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1326 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1327 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1328 
1329 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1335 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1339 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1340 
1341 #define MP_PARTY_OPT "opt"
1342 #define MP_PARTY_LIN "lin"
1343 #define MP_PARTY_SCA "sca"
1344 #define MP_PARTY_RAN "ran"
1345 #define MP_PARTY_GBF "gbf"
1346 #define MP_PARTY_GCF "gcf"
1347 #define MP_PARTY_BUB "bub"
1348 #define MP_PARTY_DEF "def"
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1350 #define MP_PARTY_HELPFUL_SETS "hs"
1351 #define MP_PARTY_KERNIGHAN_LIN "kl"
1352 #define MP_PARTY_NONE "no"
1353 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1357 
1358 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1359 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1360 
1361 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1362 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1363 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1364 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1365 
1366 /*
1367  * hierarchical partitioning
1368  */
1369 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1370 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1373 
1374 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1375 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1376 
1377 /*
1378     If you add entries here you must also add them to petsc/finclude/petscmat.h
1379 */
1380 typedef enum { MATOP_SET_VALUES=0,
1381                MATOP_GET_ROW=1,
1382                MATOP_RESTORE_ROW=2,
1383                MATOP_MULT=3,
1384                MATOP_MULT_ADD=4,
1385                MATOP_MULT_TRANSPOSE=5,
1386                MATOP_MULT_TRANSPOSE_ADD=6,
1387                MATOP_SOLVE=7,
1388                MATOP_SOLVE_ADD=8,
1389                MATOP_SOLVE_TRANSPOSE=9,
1390                MATOP_SOLVE_TRANSPOSE_ADD=10,
1391                MATOP_LUFACTOR=11,
1392                MATOP_CHOLESKYFACTOR=12,
1393                MATOP_SOR=13,
1394                MATOP_TRANSPOSE=14,
1395                MATOP_GETINFO=15,
1396                MATOP_EQUAL=16,
1397                MATOP_GET_DIAGONAL=17,
1398                MATOP_DIAGONAL_SCALE=18,
1399                MATOP_NORM=19,
1400                MATOP_ASSEMBLY_BEGIN=20,
1401                MATOP_ASSEMBLY_END=21,
1402                MATOP_SET_OPTION=22,
1403                MATOP_ZERO_ENTRIES=23,
1404                MATOP_ZERO_ROWS=24,
1405                MATOP_LUFACTOR_SYMBOLIC=25,
1406                MATOP_LUFACTOR_NUMERIC=26,
1407                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1408                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1409                MATOP_SETUP_PREALLOCATION=29,
1410                MATOP_ILUFACTOR_SYMBOLIC=30,
1411                MATOP_ICCFACTOR_SYMBOLIC=31,
1412                MATOP_GET_DIAGONAL_BLOCK=32,
1413                /* MATOP_PLACEHOLDER_33=33, */
1414                MATOP_DUPLICATE=34,
1415                MATOP_FORWARD_SOLVE=35,
1416                MATOP_BACKWARD_SOLVE=36,
1417                MATOP_ILUFACTOR=37,
1418                MATOP_ICCFACTOR=38,
1419                MATOP_AXPY=39,
1420                MATOP_CREATE_SUBMATRICES=40,
1421                MATOP_INCREASE_OVERLAP=41,
1422                MATOP_GET_VALUES=42,
1423                MATOP_COPY=43,
1424                MATOP_GET_ROW_MAX=44,
1425                MATOP_SCALE=45,
1426                MATOP_SHIFT=46,
1427                MATOP_DIAGONAL_SET=47,
1428                MATOP_ZERO_ROWS_COLUMNS=48,
1429                MATOP_SET_RANDOM=49,
1430                MATOP_GET_ROW_IJ=50,
1431                MATOP_RESTORE_ROW_IJ=51,
1432                MATOP_GET_COLUMN_IJ=52,
1433                MATOP_RESTORE_COLUMN_IJ=53,
1434                MATOP_FDCOLORING_CREATE=54,
1435                MATOP_COLORING_PATCH=55,
1436                MATOP_SET_UNFACTORED=56,
1437                MATOP_PERMUTE=57,
1438                MATOP_SET_VALUES_BLOCKED=58,
1439                MATOP_CREATE_SUBMATRIX=59,
1440                MATOP_DESTROY=60,
1441                MATOP_VIEW=61,
1442                MATOP_CONVERT_FROM=62,
1443                MATOP_MATMAT_MULT=63,
1444                MATOP_MATMAT_MULT_SYMBOLIC=64,
1445                MATOP_MATMAT_MULT_NUMERIC=65,
1446                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1447                MATOP_SET_VALUES_LOCAL=67,
1448                MATOP_ZERO_ROWS_LOCAL=68,
1449                MATOP_GET_ROW_MAX_ABS=69,
1450                MATOP_GET_ROW_MIN_ABS=70,
1451                MATOP_CONVERT=71,
1452                MATOP_SET_COLORING=72,
1453                /* MATOP_PLACEHOLDER_73=73, */
1454                MATOP_SET_VALUES_ADIFOR=74,
1455                MATOP_FD_COLORING_APPLY=75,
1456                MATOP_SET_FROM_OPTIONS=76,
1457                MATOP_MULT_CONSTRAINED=77,
1458                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1459                MATOP_FIND_ZERO_DIAGONALS=79,
1460                MATOP_MULT_MULTIPLE=80,
1461                MATOP_SOLVE_MULTIPLE=81,
1462                MATOP_GET_INERTIA=82,
1463                MATOP_LOAD=83,
1464                MATOP_IS_SYMMETRIC=84,
1465                MATOP_IS_HERMITIAN=85,
1466                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1467                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1468                MATOP_CREATE_VECS=88,
1469                MATOP_MAT_MULT=89,
1470                MATOP_MAT_MULT_SYMBOLIC=90,
1471                MATOP_MAT_MULT_NUMERIC=91,
1472                MATOP_PTAP=92,
1473                MATOP_PTAP_SYMBOLIC=93,
1474                MATOP_PTAP_NUMERIC=94,
1475                MATOP_MAT_TRANSPOSE_MULT=95,
1476                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1477                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1478                /* MATOP_PLACEHOLDER_98=98, */
1479                /* MATOP_PLACEHOLDER_99=99, */
1480                /* MATOP_PLACEHOLDER_100=100, */
1481                /* MATOP_PLACEHOLDER_101=101, */
1482                MATOP_CONJUGATE=102,
1483                /* MATOP_PLACEHOLDER_103=103, */
1484                MATOP_SET_VALUES_ROW=104,
1485                MATOP_REAL_PART=105,
1486                MATOP_IMAGINARY_PART=106,
1487                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1488                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1489                MATOP_MAT_SOLVE=109,
1490                MATOP_MAT_SOLVE_TRANSPOSE=110,
1491                MATOP_GET_ROW_MIN=111,
1492                MATOP_GET_COLUMN_VECTOR=112,
1493                MATOP_MISSING_DIAGONAL=113,
1494                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1495                MATOP_CREATE=115,
1496                MATOP_GET_GHOSTS=116,
1497                MATOP_GET_LOCAL_SUB_MATRIX=117,
1498                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1499                MATOP_MULT_DIAGONAL_BLOCK=119,
1500                MATOP_HERMITIAN_TRANSPOSE=120,
1501                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1502                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1503                MATOP_GET_MULTI_PROC_BLOCK=123,
1504                MATOP_FIND_NONZERO_ROWS=124,
1505                MATOP_GET_COLUMN_NORMS=125,
1506                MATOP_INVERT_BLOCK_DIAGONAL=126,
1507                /* MATOP_PLACEHOLDER_127=127, */
1508                MATOP_CREATE_SUB_MATRICES_MPI=128,
1509                MATOP_SET_VALUES_BATCH=129,
1510                MATOP_TRANSPOSE_MAT_MULT=130,
1511                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1512                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1513                MATOP_TRANSPOSE_COLORING_CREAT=133,
1514                MATOP_TRANS_COLORING_APPLY_SPT=134,
1515                MATOP_TRANS_COLORING_APPLY_DEN=135,
1516                MATOP_RART=136,
1517                MATOP_RART_SYMBOLIC=137,
1518                MATOP_RART_NUMERIC=138,
1519                MATOP_SET_BLOCK_SIZES=139,
1520                MATOP_AYPX=140,
1521                MATOP_RESIDUAL=141,
1522                MATOP_FDCOLORING_SETUP=142,
1523                MATOP_MPICONCATENATESEQ=144,
1524                MATOP_DESTROYSUBMATRICES=145
1525              } MatOperation;
1526 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1527 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1528 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1529 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1530 
1531 /*
1532    Codes for matrices stored on disk. By default they are
1533    stored in a universal format. By changing the format with
1534    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1535    be stored in a way natural for the matrix, for example dense matrices
1536    would be stored as dense. Matrices stored this way may only be
1537    read into matrices of the same type.
1538 */
1539 #define MATRIX_BINARY_FORMAT_DENSE -1
1540 
1541 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1542 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1543 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1544 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1545 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1546 
1547 /*S
1548      MatNullSpace - Object that removes a null space from a vector, i.e.
1549          orthogonalizes the vector to a subsapce
1550 
1551    Level: advanced
1552 
1553   Concepts: matrix; linear operator, null space
1554 
1555   Users manual sections:
1556 .   sec_singular
1557 
1558 .seealso:  MatNullSpaceCreate()
1559 S*/
1560 typedef struct _p_MatNullSpace* MatNullSpace;
1561 
1562 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1563 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1564 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1565 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1566 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1567 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1568 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1569 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1570 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1571 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1572 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1573 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1574 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1575 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1576 
1577 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1578 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1579 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1580 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1581 
1582 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1583 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1584 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1585 
1586 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1587 
1588 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1589 
1590 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1591 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1592 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1593 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1594 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1595 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1596 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1597 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1598 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1599 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1600 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1601 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1602 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1603 
1604 /*S
1605     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1606               Jacobian vector products
1607 
1608     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1609 
1610            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1611 
1612     Level: developer
1613 
1614 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1615 S*/
1616 typedef struct _p_MatMFFD* MatMFFD;
1617 
1618 /*J
1619     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1620 
1621    Level: beginner
1622 
1623 .seealso: MatMFFDSetType(), MatMFFDRegister()
1624 J*/
1625 typedef const char* MatMFFDType;
1626 #define MATMFFD_DS  "ds"
1627 #define MATMFFD_WP  "wp"
1628 
1629 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1630 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1631 
1632 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1633 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1634 
1635 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1636 
1637 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1638 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1639 
1640 /*
1641    PETSc interface to MUMPS
1642 */
1643 #ifdef PETSC_HAVE_MUMPS
1644 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1645 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1646 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1647 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1648 
1649 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1650 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1651 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1652 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1653 #endif
1654 
1655 /*
1656    PETSc interface to Mkl_Pardiso
1657 */
1658 #ifdef PETSC_HAVE_MKL_PARDISO
1659 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1660 #endif
1661 
1662 /*
1663    PETSc interface to Mkl_CPardiso
1664 */
1665 #ifdef PETSC_HAVE_MKL_CPARDISO
1666 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1667 #endif
1668 
1669 /*
1670    PETSc interface to SUPERLU
1671 */
1672 #ifdef PETSC_HAVE_SUPERLU
1673 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1674 #endif
1675 
1676 /*
1677    PETSc interface to SUPERLU_DIST
1678 */
1679 #ifdef PETSC_HAVE_SUPERLU_DIST
1680 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1681 #endif
1682 
1683 /*
1684    PETSc interface to STRUMPACK
1685 */
1686 #ifdef PETSC_HAVE_STRUMPACK
1687 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1688 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1689 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1690 #endif
1691 
1692 
1693 #ifdef PETSC_HAVE_CUDA
1694 /*E
1695     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1696     matrices.
1697 
1698     Not Collective
1699 
1700 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1701 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1702 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1703 
1704     Level: intermediate
1705 
1706    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1707 
1708 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1709 E*/
1710 
1711 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1712 
1713 /* these will be strings associated with enumerated type defined above */
1714 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1715 
1716 /*E
1717     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1718     matrices whose operation should use a particular storage format.
1719 
1720     Not Collective
1721 
1722 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1723 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1724 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1725 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1726 
1727     Level: intermediate
1728 
1729 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1730 E*/
1731 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1732 
1733 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1734 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1735 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1736 #endif
1737 
1738 #if defined(PETSC_HAVE_CUSP)
1739 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1740 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1741 
1742 /*E
1743     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1744     matrices.
1745 
1746     Not Collective
1747 
1748 +   MAT_CUSP_CSR - Compressed Sparse Row
1749 .   MAT_CUSP_DIA - Diagonal
1750 -   MAT_CUSP_ELL - Ellpack
1751 
1752     Level: intermediate
1753 
1754    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1755 
1756 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1757 E*/
1758 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1759 
1760 /* these will be strings associated with enumerated type defined above */
1761 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1762 
1763 /*E
1764     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1765     matrices whose operation should use a particular storage format.
1766 
1767     Not Collective
1768 
1769 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1770 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1771 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1772 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1773 
1774     Level: intermediate
1775 
1776    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1777 
1778 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1779 E*/
1780 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1781 
1782 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1783 #endif
1784 
1785 #if defined(PETSC_HAVE_VIENNACL)
1786 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1787 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1788 #endif
1789 
1790 /*
1791    PETSc interface to FFTW
1792 */
1793 #if defined(PETSC_HAVE_FFTW)
1794 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1795 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1796 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1797 #endif
1798 
1799 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1800 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1801 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1802 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1803 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1804 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1805 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1806 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1807 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1808 
1809 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1810 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1811 
1812 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1813 
1814 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1815 
1816 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1817 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1818 
1819 #endif
1820