xref: /petsc/include/petscmat.h (revision 4e22ec7992ea0a5a8658409cbeedb7110d765e7d)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATSELL            "sell"
91 #define MATSEQSELL         "seqsell"
92 #define MATMPISELL         "mpisell"
93 #define MATDUMMY           "dummy"
94 
95 /*J
96     MatSolverType - String with the name of a PETSc matrix solver type.
97 
98     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
99 
100    Level: beginner
101 
102 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
103 J*/
104 typedef const char* MatSolverType;
105 #define MATSOLVERSUPERLU          "superlu"
106 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
107 #define MATSOLVERSTRUMPACK        "strumpack"
108 #define MATSOLVERUMFPACK          "umfpack"
109 #define MATSOLVERCHOLMOD          "cholmod"
110 #define MATSOLVERKLU              "klu"
111 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
112 #define MATSOLVERELEMENTAL        "elemental"
113 #define MATSOLVERESSL             "essl"
114 #define MATSOLVERLUSOL            "lusol"
115 #define MATSOLVERMUMPS            "mumps"
116 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
117 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
118 #define MATSOLVERPASTIX           "pastix"
119 #define MATSOLVERMATLAB           "matlab"
120 #define MATSOLVERPETSC            "petsc"
121 #define MATSOLVERBAS              "bas"
122 #define MATSOLVERCUSPARSE         "cusparse"
123 
124 /*E
125     MatFactorType - indicates what type of factorization is requested
126 
127     Level: beginner
128 
129    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
130 
131 .seealso: MatSolverType, MatGetFactor()
132 E*/
133 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
134 PETSC_EXTERN const char *const MatFactorTypes[];
135 
136 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
137 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
138 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
139 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
140 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
141 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
142 
143 /* Logging support */
144 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
145 PETSC_EXTERN PetscClassId MAT_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
149 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
150 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
151 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
152 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
153 
154 /*E
155     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
156      are to be reused to store the new matrix values.
157 
158 $  MAT_INITIAL_MATRIX - create a new matrix
159 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
160 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
161 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
162 
163     Level: beginner
164 
165    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
166 
167 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
168 E*/
169 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
170 
171 /*E
172     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
173      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
174 
175     Level: beginner
176 
177 .seealso: MatGetSeqNonzerostructure()
178 E*/
179 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
180 
181 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
182 
183 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
184 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
185 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
186 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
187 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
188 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
189 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
190 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
191 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
192 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
193 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
194 
195 PETSC_EXTERN PetscFunctionList MatList;
196 PETSC_EXTERN PetscFunctionList MatColoringList;
197 PETSC_EXTERN PetscFunctionList MatPartitioningList;
198 
199 /*E
200     MatStructure - Indicates if two matrices have the same nonzero structure
201 
202     Level: beginner
203 
204    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
205 
206 .seealso: MatCopy(), MatAXPY()
207 E*/
208 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
209 
210 #if defined PETSC_HAVE_MKL_SPARSE
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A);
213 #endif
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
217 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
218 
219 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
226 
227 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
236 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
237 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
238 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
250 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
251 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
252 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
253 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
254 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
255 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
256 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
257 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
261 
262 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
266 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
267 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
268 
269 #if defined(PETSC_HAVE_HYPRE)
270 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
271 #endif
272 
273 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
274 
275 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
276 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
277 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
278 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
279 
280 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
281 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
282 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
283 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
284 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
285 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
286 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
287 
288 /* ------------------------------------------------------------*/
289 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
290 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
291 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
292 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
293 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
294 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
295 
296 /*S
297      MatStencil - Data structure (C struct) for storing information about a single row or
298         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
299 
300    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).
301    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.
302 
303    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
304 
305    Fortran usage is different, see MatSetValuesStencil() for details.
306 
307    Level: beginner
308 
309   Concepts: matrix; linear operator
310 
311 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
312 S*/
313 typedef struct {
314   PetscInt k,j,i,c;
315 } MatStencil;
316 
317 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
318 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
319 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
320 
321 /*E
322     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
323      to continue to add or insert values to it
324 
325     Level: beginner
326 
327 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
328 E*/
329 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
330 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
331 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
332 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
333 
334 
335 
336 /*E
337     MatOption - Options that may be set for a matrix and its behavior or storage
338 
339     Level: beginner
340 
341    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
342    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
343 
344    Developer Notes: Entries that are negative need not be called collectively by all processes.
345 
346 .seealso: MatSetOption()
347 E*/
348 typedef enum {MAT_OPTION_MIN = -3,
349               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
350               MAT_ROW_ORIENTED = -1,
351               MAT_SYMMETRIC = 1,
352               MAT_STRUCTURALLY_SYMMETRIC = 2,
353               MAT_NEW_DIAGONALS = 3,
354               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
355               MAT_USE_HASH_TABLE = 5,
356               MAT_KEEP_NONZERO_PATTERN = 6,
357               MAT_IGNORE_ZERO_ENTRIES = 7,
358               MAT_USE_INODES = 8,
359               MAT_HERMITIAN = 9,
360               MAT_SYMMETRY_ETERNAL = 10,
361               MAT_NEW_NONZERO_LOCATION_ERR = 11,
362               MAT_IGNORE_LOWER_TRIANGULAR = 12,
363               MAT_ERROR_LOWER_TRIANGULAR = 13,
364               MAT_GETROW_UPPERTRIANGULAR = 14,
365               MAT_SPD = 15,
366               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
367               MAT_NO_OFF_PROC_ENTRIES = 17,
368               MAT_NEW_NONZERO_LOCATIONS = 18,
369               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
370               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
371               MAT_SUBMAT_SINGLEIS = 21,
372               MAT_STRUCTURE_ONLY = 22,
373               MAT_OPTION_MAX = 23} MatOption;
374 
375 PETSC_EXTERN const char *const *MatOptions;
376 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
377 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
378 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
379 
380 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
381 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
382 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
383 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
384 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
385 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
386 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
387 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
388 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
389 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
390 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
391 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
392 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
393 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
394 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
395 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
396 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
397 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
398 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
399 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
400 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
401 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
402 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
403 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
404 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
405 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
406 
407 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
408 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
409 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
410 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
411 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
412 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
413 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
415 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
416 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
417 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
418 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
419 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
420 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
421 
422 /*E
423     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
424   its numerical values copied over or just its nonzero structure.
425 
426     Level: beginner
427 
428    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
429 
430 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
431 $                               with zeros for the numerical values.
432 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
433 $                               and with the same numerical values.
434 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
435 $                               and does not copy it, using zeros for the numerical values. The parent and
436 $                               child matrices will share their index (i and j) arrays, and you cannot
437 $                               insert new nonzero entries into either matrix.
438 
439 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
440 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
441 
442 .seealso: MatDuplicate()
443 E*/
444 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
445 
446 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
447 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
448 
449 
450 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
451 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
452 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
453 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
454 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
455 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
456 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
457 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
458 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
459 
460 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
461 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
462 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
463 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
464 
465 /*S
466      MatInfo - Context of matrix information, used with MatGetInfo()
467 
468    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
469 
470    Level: intermediate
471 
472   Concepts: matrix^nonzero information
473 
474 .seealso:  MatGetInfo(), MatInfoType
475 S*/
476 typedef struct {
477   PetscLogDouble block_size;                         /* block size */
478   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
479   PetscLogDouble memory;                             /* memory allocated */
480   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
481   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
482   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
483   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
484 } MatInfo;
485 
486 /*E
487     MatInfoType - Indicates if you want information about the local part of the matrix,
488      the entire parallel matrix or the maximum over all the local parts.
489 
490     Level: beginner
491 
492    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
493 
494 .seealso: MatGetInfo(), MatInfo
495 E*/
496 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
497 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
498 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
499 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
500 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
501 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
502 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
503 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
504 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
505 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
506 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
507 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
508 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
509 
510 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
512 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
513 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
514 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
515 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
516 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
517 
518 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
519 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
520 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
521 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
523 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
524 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
525 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
526 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
527 
528 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
529 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
530 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
531 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
532 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
533 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
534 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
535 
536 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
537 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);}
538 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
539 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);}
540 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
541 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
542 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
543 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);}
544 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
545 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
546 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
547 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
548 
549 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
550 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
551 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
552 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
553 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
554 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
555 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
556 
557 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
558 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
559 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
560 
561 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
563 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
564 
565 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
566 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
567 
568 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
570 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
571 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
573 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
574 
575 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
576 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
577 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
578 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
579 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
580 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
581 
582 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
583 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
584 
585 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
586 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
587 
588 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
589 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
590 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
591 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
592 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
593 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
594 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
595 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
596 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
597 
598 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
599 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
600 
601 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
602 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
603 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
604 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
605 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
606 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
607 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
608 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
609 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
610 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
611 
612 /*MC
613    MatSetValue - Set a single entry into a matrix.
614 
615    Not collective
616 
617    Synopsis:
618      #include <petscmat.h>
619      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
620 
621    Input Parameters:
622 +  m - the matrix
623 .  row - the row location of the entry
624 .  col - the column location of the entry
625 .  value - the value to insert
626 -  mode - either INSERT_VALUES or ADD_VALUES
627 
628    Notes:
629    For efficiency one should use MatSetValues() and set several or many
630    values simultaneously if possible.
631 
632    Level: beginner
633 
634 .seealso: MatSetValues(), MatSetValueLocal()
635 M*/
636 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
637 
638 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
639 
640 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
641 
642 /*MC
643    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
644        row in a matrix providing the data that one can use to correctly preallocate the matrix.
645 
646    Synopsis:
647    #include <petscmat.h>
648    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
649 
650    Collective on MPI_Comm
651 
652    Input Parameters:
653 +  comm - the communicator that will share the eventually allocated matrix
654 .  nrows - the number of LOCAL rows in the matrix
655 -  ncols - the number of LOCAL columns in the matrix
656 
657    Output Parameters:
658 +  dnz - the array that will be passed to the matrix preallocation routines
659 -  ozn - the other array passed to the matrix preallocation routines
660 
661    Level: intermediate
662 
663    Notes:
664     See Users-Manual: ch_performance for more details.
665 
666    Do not malloc or free dnz and onz, that is handled internally by these routines
667 
668    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
669 
670    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
671 
672   Concepts: preallocation^Matrix
673 
674 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
675           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
676 M*/
677 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
678 { \
679   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
680   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
681   __start = 0; __end = __start;                                         \
682   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
683   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
684 
685 /*MC
686    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
687        inserted using a local number of the rows and columns
688 
689    Synopsis:
690    #include <petscmat.h>
691    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
692 
693    Not Collective
694 
695    Input Parameters:
696 +  map - the row mapping from local numbering to global numbering
697 .  nrows - the number of rows indicated
698 .  rows - the indices of the rows
699 .  cmap - the column mapping from local to global numbering
700 .  ncols - the number of columns in the matrix
701 .  cols - the columns indicated
702 .  dnz - the array that will be passed to the matrix preallocation routines
703 -  ozn - the other array passed to the matrix preallocation routines
704 
705    Level: intermediate
706 
707    Notes:
708     See Users-Manual: ch_performance for more details.
709 
710    Do not malloc or free dnz and onz, that is handled internally by these routines
711 
712   Concepts: preallocation^Matrix
713 
714 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
715           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
716 M*/
717 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
718 {\
719   PetscInt __l;\
720   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
721   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
722   for (__l=0;__l<nrows;__l++) {\
723     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
724   }\
725 }
726 
727 /*MC
728    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
729        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
730 
731    Synopsis:
732    #include <petscmat.h>
733    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
734 
735    Not Collective
736 
737    Input Parameters:
738 +  map - the row mapping from local numbering to global numbering
739 .  nrows - the number of rows indicated
740 .  rows - the indices of the rows (these values are mapped to the global values)
741 .  cmap - the column mapping from local to global numbering
742 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
743 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
744 .  dnz - the array that will be passed to the matrix preallocation routines
745 -  ozn - the other array passed to the matrix preallocation routines
746 
747    Level: intermediate
748 
749    Notes:
750     See Users-Manual: ch_performance for more details.
751 
752    Do not malloc or free dnz and onz, that is handled internally by these routines
753 
754   Concepts: preallocation^Matrix
755 
756 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
757           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
758 M*/
759 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
760 {\
761   PetscInt __l;\
762   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
763   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
764   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
765   for (__l=0;__l<nrows;__l++) {\
766     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
767   }\
768 }
769 
770 /*MC
771    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
772        inserted using a local number of the rows and columns
773 
774    Synopsis:
775    #include <petscmat.h>
776    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
777 
778    Not Collective
779 
780    Input Parameters:
781 +  map - the row mapping from local numbering to global numbering
782 .  nrows - the number of rows indicated
783 .  rows - the indices of the rows
784 .  cmap - the column mapping from local to global numbering
785 .  ncols - the number of columns in the matrix
786 .  cols - the columns indicated
787 .  dnz - the array that will be passed to the matrix preallocation routines
788 -  ozn - the other array passed to the matrix preallocation routines
789 
790    Level: intermediate
791 
792    Notes:
793     See Users-Manual: ch_performance for more details.
794 
795    Do not malloc or free dnz and onz, that is handled internally by these routines
796 
797   Concepts: preallocation^Matrix
798 
799 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
800           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
801 M*/
802 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
803 {\
804   PetscInt __l;\
805   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
806   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
807   for (__l=0;__l<nrows;__l++) {\
808     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
809   }\
810 }
811 
812 /*MC
813    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
814        inserted using a local number of the rows and columns
815 
816    Synopsis:
817    #include <petscmat.h>
818    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
819 
820    Not Collective
821 
822    Input Parameters:
823 +  map - the mapping between local numbering and global numbering
824 .  nrows - the number of rows indicated
825 .  rows - the indices of the rows
826 .  ncols - the number of columns in the matrix
827 .  cols - the columns indicated
828 .  dnz - the array that will be passed to the matrix preallocation routines
829 -  ozn - the other array passed to the matrix preallocation routines
830 
831    Level: intermediate
832 
833    Notes:
834     See Users-Manual: ch_performance for more details.
835 
836    Do not malloc or free dnz and onz that is handled internally by these routines
837 
838   Concepts: preallocation^Matrix
839 
840 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
841           MatPreallocateInitialize(),  MatPreallocateSetLocal()
842 M*/
843 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
844 {\
845   PetscInt __l;\
846   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
847   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
848   for (__l=0;__l<nrows;__l++) {\
849     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
850   }\
851 }
852 /*MC
853    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
854        inserted using a local number of the rows and columns
855 
856    Synopsis:
857    #include <petscmat.h>
858    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
859 
860    Not Collective
861 
862    Input Parameters:
863 +  row - the row
864 .  ncols - the number of columns in the matrix
865 -  cols - the columns indicated
866 
867    Output Parameters:
868 +  dnz - the array that will be passed to the matrix preallocation routines
869 -  ozn - the other array passed to the matrix preallocation routines
870 
871    Level: intermediate
872 
873    Notes:
874     See Users-Manual: ch_performance for more details.
875 
876    Do not malloc or free dnz and onz that is handled internally by these routines
877 
878    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
879 
880   Concepts: preallocation^Matrix
881 
882 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
883           MatPreallocateInitialize(), MatPreallocateSetLocal()
884 M*/
885 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
886 { PetscInt __i; \
887   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);\
888   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);\
889   for (__i=0; __i<nc; __i++) {\
890     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
891     else dnz[row - __rstart]++;\
892   }\
893 }
894 
895 /*MC
896    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
897        inserted using a local number of the rows and columns
898 
899    Synopsis:
900    #include <petscmat.h>
901    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
902 
903    Not Collective
904 
905    Input Parameters:
906 +  nrows - the number of rows indicated
907 .  rows - the indices of the rows
908 .  ncols - the number of columns in the matrix
909 .  cols - the columns indicated
910 .  dnz - the array that will be passed to the matrix preallocation routines
911 -  ozn - the other array passed to the matrix preallocation routines
912 
913    Level: intermediate
914 
915    Notes:
916     See Users-Manual: ch_performance for more details.
917 
918    Do not malloc or free dnz and onz that is handled internally by these routines
919 
920    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
921 
922   Concepts: preallocation^Matrix
923 
924 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
925           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
926 M*/
927 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
928 { PetscInt __i; \
929   for (__i=0; __i<nc; __i++) {\
930     if (cols[__i] >= __end) onz[row - __rstart]++; \
931     else if (cols[__i] >= row) dnz[row - __rstart]++;\
932   }\
933 }
934 
935 /*MC
936    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
937 
938    Synopsis:
939    #include <petscmat.h>
940    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
941 
942    Not Collective
943 
944    Input Parameters:
945 .  A - matrix
946 .  row - row where values exist (must be local to this process)
947 .  ncols - number of columns
948 .  cols - columns with nonzeros
949 .  dnz - the array that will be passed to the matrix preallocation routines
950 -  ozn - the other array passed to the matrix preallocation routines
951 
952    Level: intermediate
953 
954    Notes:
955     See Users-Manual: ch_performance for more details.
956 
957    Do not malloc or free dnz and onz that is handled internally by these routines
958 
959    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
960 
961   Concepts: preallocation^Matrix
962 
963 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
964           MatPreallocateSymmetricSetLocalBlock()
965 M*/
966 #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);}
967 
968 
969 /*MC
970    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
971        row in a matrix providing the data that one can use to correctly preallocate the matrix.
972 
973    Synopsis:
974    #include <petscmat.h>
975    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
976 
977    Collective on MPI_Comm
978 
979    Input Parameters:
980 +  dnz - the array that was be passed to the matrix preallocation routines
981 -  ozn - the other array passed to the matrix preallocation routines
982 
983    Level: intermediate
984 
985    Notes:
986     See Users-Manual: ch_performance for more details.
987 
988    Do not malloc or free dnz and onz that is handled internally by these routines
989 
990    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
991 
992   Concepts: preallocation^Matrix
993 
994 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
995           MatPreallocateSymmetricSetLocalBlock()
996 M*/
997 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
998 
999 /* Routines unique to particular data structures */
1000 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1001 
1002 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1003 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1004 
1005 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1006 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1007 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1008 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1009 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1010 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1011 
1012 #define MAT_SKIP_ALLOCATION -4
1013 
1014 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1015 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1016 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1017 
1018 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1019 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1020 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1021 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1022 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1023 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1024 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1025 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1026 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1027 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1028 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1029 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1030 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1031 
1032 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1033 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1034 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1035 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1036 
1037 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1038 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1039 
1040 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1041 
1042 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1043 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1044 /*
1045   These routines are not usually accessed directly, rather solving is
1046   done through the KSP and PC interfaces.
1047 */
1048 
1049 /*J
1050     MatOrderingType - String with the name of a PETSc matrix ordering
1051 
1052    Level: beginner
1053 
1054 .seealso: MatGetOrdering()
1055 J*/
1056 typedef const char* MatOrderingType;
1057 #define MATORDERINGNATURAL     "natural"
1058 #define MATORDERINGND          "nd"
1059 #define MATORDERING1WD         "1wd"
1060 #define MATORDERINGRCM         "rcm"
1061 #define MATORDERINGQMD         "qmd"
1062 #define MATORDERINGROWLENGTH   "rowlength"
1063 #define MATORDERINGWBM         "wbm"
1064 #define MATORDERINGSPECTRAL    "spectral"
1065 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1066 
1067 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1068 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1069 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1070 PETSC_EXTERN PetscFunctionList MatOrderingList;
1071 
1072 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1073 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1074 
1075 /*S
1076     MatFactorShiftType - Numeric Shift.
1077 
1078    Level: beginner
1079 
1080 S*/
1081 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1082 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1083 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1084 
1085 /*S
1086     MatFactorError - indicates what type of error in matrix factor
1087 
1088     Level: beginner
1089 
1090     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1091 
1092 .seealso: MatGetFactor()
1093 S*/
1094 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1095 
1096 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1097 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1098 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1099 
1100 /*S
1101    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1102 
1103    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1104 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1105 
1106    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1107 
1108       You can use MatFactorInfoInitialize() to set default values.
1109 
1110    Level: developer
1111 
1112 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1113           MatFactorInfoInitialize()
1114 
1115 S*/
1116 typedef struct {
1117   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1118   PetscReal     usedt;
1119   PetscReal     dt;             /* drop tolerance */
1120   PetscReal     dtcol;          /* tolerance for pivoting */
1121   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1122   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1123   PetscReal     levels;         /* ICC/ILU(levels) */
1124   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1125                                    factorization may be faster if do not pivot */
1126   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1127   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1128   PetscReal     shiftamount;     /* how large the shift is */
1129 } MatFactorInfo;
1130 
1131 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1132 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1133 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1134 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1135 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1136 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1137 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1138 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1139 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1140 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1141 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1142 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1143 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1144 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1145 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1146 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1147 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1148 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1149 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1150 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1151 
1152 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1153 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1154 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1155 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1156 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1157 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1158 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1159 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1160 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1161 
1162 /*E
1163     MatSORType - What type of (S)SOR to perform
1164 
1165     Level: beginner
1166 
1167    May be bitwise ORd together
1168 
1169    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1170 
1171    MatSORType may be bitwise ORd together, so do not change the numbers
1172 
1173 .seealso: MatSOR()
1174 E*/
1175 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1176               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1177               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1178               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1179 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1180 
1181 /*
1182     These routines are for efficiently computing Jacobians via finite differences.
1183 */
1184 
1185 /*S
1186      MatColoring - Object for managing the coloring of matrices.
1187 
1188    Level: beginner
1189 
1190   Concepts: matrix, coloring
1191 
1192 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1193 S*/
1194 typedef struct _p_MatColoring* MatColoring;
1195 /*J
1196     MatColoringType - String with the name of a PETSc matrix coloring
1197 
1198    Level: beginner
1199 
1200 .seealso: MatColoringSetType(), MatColoring
1201 J*/
1202 
1203 typedef const  char*           MatColoringType;
1204 #define MATCOLORINGJP      "jp"
1205 #define MATCOLORINGPOWER   "power"
1206 #define MATCOLORINGNATURAL "natural"
1207 #define MATCOLORINGSL      "sl"
1208 #define MATCOLORINGLF      "lf"
1209 #define MATCOLORINGID      "id"
1210 #define MATCOLORINGGREEDY  "greedy"
1211 
1212 /*E
1213    MatColoringWeightType - Type of weight scheme
1214 
1215     Not Collective
1216 
1217 +   MAT_COLORING_RANDOM  - Random weights
1218 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1219 -   MAT_COLORING_LF      - Last-first weighting.
1220 
1221     Level: intermediate
1222 
1223    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1224 
1225 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1226 E*/
1227 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1228 
1229 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1230 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1231 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1232 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1233 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1234 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1235 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1236 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1237 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1238 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1239 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1240 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1241 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1242 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1243 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1244 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1245 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1246 
1247 /*S
1248      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1249         and coloring
1250 
1251    Level: beginner
1252 
1253   Concepts: coloring, sparse Jacobian, finite differences
1254 
1255 .seealso:  MatFDColoringCreate()
1256 S*/
1257 typedef struct _p_MatFDColoring* MatFDColoring;
1258 
1259 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1260 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1261 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1262 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1263 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1264 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1265 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1266 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1267 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1268 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1269 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1270 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1271 
1272 
1273 /*S
1274      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1275 
1276    Level: beginner
1277 
1278   Concepts: coloring, sparse matrix product
1279 
1280 .seealso:  MatTransposeColoringCreate()
1281 S*/
1282 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1283 
1284 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1285 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1286 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1287 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1288 
1289 /*
1290     These routines are for partitioning matrices: currently used only
1291   for adjacency matrix, MatCreateMPIAdj().
1292 */
1293 
1294 /*S
1295      MatPartitioning - Object for managing the partitioning of a matrix or graph
1296 
1297    Level: beginner
1298 
1299   Concepts: partitioning
1300 
1301 .seealso:  MatPartitioningCreate(), MatPartitioningType
1302 S*/
1303 typedef struct _p_MatPartitioning* MatPartitioning;
1304 
1305 /*J
1306     MatPartitioningType - String with the name of a PETSc matrix partitioning
1307 
1308    Level: beginner
1309 dm
1310 .seealso: MatPartitioningCreate(), MatPartitioning
1311 J*/
1312 typedef const char* MatPartitioningType;
1313 #define MATPARTITIONINGCURRENT  "current"
1314 #define MATPARTITIONINGAVERAGE   "average"
1315 #define MATPARTITIONINGSQUARE   "square"
1316 #define MATPARTITIONINGPARMETIS "parmetis"
1317 #define MATPARTITIONINGCHACO    "chaco"
1318 #define MATPARTITIONINGPARTY    "party"
1319 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1320 #define MATPARTITIONINGHIERARCH  "hierarch"
1321 
1322 
1323 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1331 
1332 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1333 
1334 
1335 
1336 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1339 
1340 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1343 
1344 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1345 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1346 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1347 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1348 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1349 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1350 
1351 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1361 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1362 
1363 #define MP_PARTY_OPT "opt"
1364 #define MP_PARTY_LIN "lin"
1365 #define MP_PARTY_SCA "sca"
1366 #define MP_PARTY_RAN "ran"
1367 #define MP_PARTY_GBF "gbf"
1368 #define MP_PARTY_GCF "gcf"
1369 #define MP_PARTY_BUB "bub"
1370 #define MP_PARTY_DEF "def"
1371 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1372 #define MP_PARTY_HELPFUL_SETS "hs"
1373 #define MP_PARTY_KERNIGHAN_LIN "kl"
1374 #define MP_PARTY_NONE "no"
1375 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1378 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1379 
1380 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1381 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1382 
1383 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1384 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1385 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1387 
1388 /*
1389  * hierarchical partitioning
1390  */
1391 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1392 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1393 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1394 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1395 
1396 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1397 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1398 
1399 /*
1400     If you add entries here you must also add them to petsc/finclude/petscmat.h
1401 */
1402 typedef enum { MATOP_SET_VALUES=0,
1403                MATOP_GET_ROW=1,
1404                MATOP_RESTORE_ROW=2,
1405                MATOP_MULT=3,
1406                MATOP_MULT_ADD=4,
1407                MATOP_MULT_TRANSPOSE=5,
1408                MATOP_MULT_TRANSPOSE_ADD=6,
1409                MATOP_SOLVE=7,
1410                MATOP_SOLVE_ADD=8,
1411                MATOP_SOLVE_TRANSPOSE=9,
1412                MATOP_SOLVE_TRANSPOSE_ADD=10,
1413                MATOP_LUFACTOR=11,
1414                MATOP_CHOLESKYFACTOR=12,
1415                MATOP_SOR=13,
1416                MATOP_TRANSPOSE=14,
1417                MATOP_GETINFO=15,
1418                MATOP_EQUAL=16,
1419                MATOP_GET_DIAGONAL=17,
1420                MATOP_DIAGONAL_SCALE=18,
1421                MATOP_NORM=19,
1422                MATOP_ASSEMBLY_BEGIN=20,
1423                MATOP_ASSEMBLY_END=21,
1424                MATOP_SET_OPTION=22,
1425                MATOP_ZERO_ENTRIES=23,
1426                MATOP_ZERO_ROWS=24,
1427                MATOP_LUFACTOR_SYMBOLIC=25,
1428                MATOP_LUFACTOR_NUMERIC=26,
1429                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1430                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1431                MATOP_SETUP_PREALLOCATION=29,
1432                MATOP_ILUFACTOR_SYMBOLIC=30,
1433                MATOP_ICCFACTOR_SYMBOLIC=31,
1434                MATOP_GET_DIAGONAL_BLOCK=32,
1435                /* MATOP_PLACEHOLDER_33=33, */
1436                MATOP_DUPLICATE=34,
1437                MATOP_FORWARD_SOLVE=35,
1438                MATOP_BACKWARD_SOLVE=36,
1439                MATOP_ILUFACTOR=37,
1440                MATOP_ICCFACTOR=38,
1441                MATOP_AXPY=39,
1442                MATOP_CREATE_SUBMATRICES=40,
1443                MATOP_INCREASE_OVERLAP=41,
1444                MATOP_GET_VALUES=42,
1445                MATOP_COPY=43,
1446                MATOP_GET_ROW_MAX=44,
1447                MATOP_SCALE=45,
1448                MATOP_SHIFT=46,
1449                MATOP_DIAGONAL_SET=47,
1450                MATOP_ZERO_ROWS_COLUMNS=48,
1451                MATOP_SET_RANDOM=49,
1452                MATOP_GET_ROW_IJ=50,
1453                MATOP_RESTORE_ROW_IJ=51,
1454                MATOP_GET_COLUMN_IJ=52,
1455                MATOP_RESTORE_COLUMN_IJ=53,
1456                MATOP_FDCOLORING_CREATE=54,
1457                MATOP_COLORING_PATCH=55,
1458                MATOP_SET_UNFACTORED=56,
1459                MATOP_PERMUTE=57,
1460                MATOP_SET_VALUES_BLOCKED=58,
1461                MATOP_CREATE_SUBMATRIX=59,
1462                MATOP_DESTROY=60,
1463                MATOP_VIEW=61,
1464                MATOP_CONVERT_FROM=62,
1465                MATOP_MATMAT_MULT=63,
1466                MATOP_MATMAT_MULT_SYMBOLIC=64,
1467                MATOP_MATMAT_MULT_NUMERIC=65,
1468                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1469                MATOP_SET_VALUES_LOCAL=67,
1470                MATOP_ZERO_ROWS_LOCAL=68,
1471                MATOP_GET_ROW_MAX_ABS=69,
1472                MATOP_GET_ROW_MIN_ABS=70,
1473                MATOP_CONVERT=71,
1474                MATOP_SET_COLORING=72,
1475                /* MATOP_PLACEHOLDER_73=73, */
1476                MATOP_SET_VALUES_ADIFOR=74,
1477                MATOP_FD_COLORING_APPLY=75,
1478                MATOP_SET_FROM_OPTIONS=76,
1479                MATOP_MULT_CONSTRAINED=77,
1480                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1481                MATOP_FIND_ZERO_DIAGONALS=79,
1482                MATOP_MULT_MULTIPLE=80,
1483                MATOP_SOLVE_MULTIPLE=81,
1484                MATOP_GET_INERTIA=82,
1485                MATOP_LOAD=83,
1486                MATOP_IS_SYMMETRIC=84,
1487                MATOP_IS_HERMITIAN=85,
1488                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1489                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1490                MATOP_CREATE_VECS=88,
1491                MATOP_MAT_MULT=89,
1492                MATOP_MAT_MULT_SYMBOLIC=90,
1493                MATOP_MAT_MULT_NUMERIC=91,
1494                MATOP_PTAP=92,
1495                MATOP_PTAP_SYMBOLIC=93,
1496                MATOP_PTAP_NUMERIC=94,
1497                MATOP_MAT_TRANSPOSE_MULT=95,
1498                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1499                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1500                /* MATOP_PLACEHOLDER_98=98, */
1501                /* MATOP_PLACEHOLDER_99=99, */
1502                /* MATOP_PLACEHOLDER_100=100, */
1503                /* MATOP_PLACEHOLDER_101=101, */
1504                MATOP_CONJUGATE=102,
1505                /* MATOP_PLACEHOLDER_103=103, */
1506                MATOP_SET_VALUES_ROW=104,
1507                MATOP_REAL_PART=105,
1508                MATOP_IMAGINARY_PART=106,
1509                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1510                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1511                MATOP_MAT_SOLVE=109,
1512                MATOP_MAT_SOLVE_TRANSPOSE=110,
1513                MATOP_GET_ROW_MIN=111,
1514                MATOP_GET_COLUMN_VECTOR=112,
1515                MATOP_MISSING_DIAGONAL=113,
1516                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1517                MATOP_CREATE=115,
1518                MATOP_GET_GHOSTS=116,
1519                MATOP_GET_LOCAL_SUB_MATRIX=117,
1520                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1521                MATOP_MULT_DIAGONAL_BLOCK=119,
1522                MATOP_HERMITIAN_TRANSPOSE=120,
1523                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1524                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1525                MATOP_GET_MULTI_PROC_BLOCK=123,
1526                MATOP_FIND_NONZERO_ROWS=124,
1527                MATOP_GET_COLUMN_NORMS=125,
1528                MATOP_INVERT_BLOCK_DIAGONAL=126,
1529                /* MATOP_PLACEHOLDER_127=127, */
1530                MATOP_CREATE_SUB_MATRICES_MPI=128,
1531                MATOP_SET_VALUES_BATCH=129,
1532                MATOP_TRANSPOSE_MAT_MULT=130,
1533                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1534                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1535                MATOP_TRANSPOSE_COLORING_CREAT=133,
1536                MATOP_TRANS_COLORING_APPLY_SPT=134,
1537                MATOP_TRANS_COLORING_APPLY_DEN=135,
1538                MATOP_RART=136,
1539                MATOP_RART_SYMBOLIC=137,
1540                MATOP_RART_NUMERIC=138,
1541                MATOP_SET_BLOCK_SIZES=139,
1542                MATOP_AYPX=140,
1543                MATOP_RESIDUAL=141,
1544                MATOP_FDCOLORING_SETUP=142,
1545                MATOP_MPICONCATENATESEQ=144,
1546                MATOP_DESTROYSUBMATRICES=145
1547              } MatOperation;
1548 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1549 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1550 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1551 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1552 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1553 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1554 
1555 /*
1556    Codes for matrices stored on disk. By default they are
1557    stored in a universal format. By changing the format with
1558    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1559    be stored in a way natural for the matrix, for example dense matrices
1560    would be stored as dense. Matrices stored this way may only be
1561    read into matrices of the same type.
1562 */
1563 #define MATRIX_BINARY_FORMAT_DENSE -1
1564 
1565 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1566 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1567 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1568 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1569 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1570 
1571 /*S
1572      MatNullSpace - Object that removes a null space from a vector, i.e.
1573          orthogonalizes the vector to a subsapce
1574 
1575    Level: advanced
1576 
1577   Concepts: matrix; linear operator, null space
1578 
1579   Users manual sections:
1580 .   sec_singular
1581 
1582 .seealso:  MatNullSpaceCreate()
1583 S*/
1584 typedef struct _p_MatNullSpace* MatNullSpace;
1585 
1586 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1587 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1588 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1589 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1590 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1591 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1592 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1593 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1594 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1595 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1596 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1597 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1598 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1599 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1600 
1601 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1602 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1603 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1604 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1605 
1606 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1607 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1608 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1609 
1610 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1611 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperatorTranspose(Mat,Mat*);
1612 
1613 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1614 
1615 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1616 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1617 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1618 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1619 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1620 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1621 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1622 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1623 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1624 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1625 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1626 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1627 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1628 
1629 /*S
1630     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1631               Jacobian vector products
1632 
1633     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1634 
1635            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1636 
1637     Level: developer
1638 
1639 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1640 S*/
1641 typedef struct _p_MatMFFD* MatMFFD;
1642 
1643 /*J
1644     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1645 
1646    Level: beginner
1647 
1648 .seealso: MatMFFDSetType(), MatMFFDRegister()
1649 J*/
1650 typedef const char* MatMFFDType;
1651 #define MATMFFD_DS  "ds"
1652 #define MATMFFD_WP  "wp"
1653 
1654 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1655 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1656 
1657 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1658 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1659 
1660 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1661 
1662 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1663 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1664 
1665 /*
1666    PETSc interface to MUMPS
1667 */
1668 #ifdef PETSC_HAVE_MUMPS
1669 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1670 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1671 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1672 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1673 
1674 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1675 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1676 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1677 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1678 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1679 #endif
1680 
1681 /*
1682    PETSc interface to Mkl_Pardiso
1683 */
1684 #ifdef PETSC_HAVE_MKL_PARDISO
1685 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1686 #endif
1687 
1688 /*
1689    PETSc interface to Mkl_CPardiso
1690 */
1691 #ifdef PETSC_HAVE_MKL_CPARDISO
1692 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1693 #endif
1694 
1695 /*
1696    PETSc interface to SUPERLU
1697 */
1698 #ifdef PETSC_HAVE_SUPERLU
1699 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1700 #endif
1701 
1702 /*
1703    PETSc interface to SUPERLU_DIST
1704 */
1705 #ifdef PETSC_HAVE_SUPERLU_DIST
1706 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1707 #endif
1708 
1709 /*
1710    PETSc interface to STRUMPACK
1711 */
1712 #ifdef PETSC_HAVE_STRUMPACK
1713 /*E
1714     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1715 
1716     Level: intermediate
1717 E*/
1718 typedef enum {MAT_STRUMPACK_NATURAL=0,
1719               MAT_STRUMPACK_METIS=1,
1720               MAT_STRUMPACK_PARMETIS=2,
1721               MAT_STRUMPACK_SCOTCH=3,
1722               MAT_STRUMPACK_PTSCOTCH=4,
1723               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1724 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1725 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1726 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1727 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1728 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1729 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1730 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1731 #endif
1732 
1733 
1734 #ifdef PETSC_HAVE_CUDA
1735 /*E
1736     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1737     matrices.
1738 
1739     Not Collective
1740 
1741 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1742 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1743 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1744 
1745     Level: intermediate
1746 
1747    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1748 
1749 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1750 E*/
1751 
1752 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1753 
1754 /* these will be strings associated with enumerated type defined above */
1755 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1756 
1757 /*E
1758     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1759     matrices whose operation should use a particular storage format.
1760 
1761     Not Collective
1762 
1763 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1764 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1765 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1766 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1767 
1768     Level: intermediate
1769 
1770 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1771 E*/
1772 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1773 
1774 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1775 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1776 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1777 #endif
1778 
1779 #if defined(PETSC_HAVE_CUSP)
1780 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1781 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1782 
1783 /*E
1784     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1785     matrices.
1786 
1787     Not Collective
1788 
1789 +   MAT_CUSP_CSR - Compressed Sparse Row
1790 .   MAT_CUSP_DIA - Diagonal
1791 -   MAT_CUSP_ELL - Ellpack
1792 
1793     Level: intermediate
1794 
1795    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1796 
1797 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1798 E*/
1799 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1800 
1801 /* these will be strings associated with enumerated type defined above */
1802 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1803 
1804 /*E
1805     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1806     matrices whose operation should use a particular storage format.
1807 
1808     Not Collective
1809 
1810 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1811 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1812 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1813 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1814 
1815     Level: intermediate
1816 
1817    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1818 
1819 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1820 E*/
1821 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1822 
1823 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1824 #endif
1825 
1826 #if defined(PETSC_HAVE_VIENNACL)
1827 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1828 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1829 #endif
1830 
1831 /*
1832    PETSc interface to FFTW
1833 */
1834 #if defined(PETSC_HAVE_FFTW)
1835 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1836 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1837 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1838 #endif
1839 
1840 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1841 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1842 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1843 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1844 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1845 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1846 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1847 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1848 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1849 
1850 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1851 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1852 
1853 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1854 
1855 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1856 
1857 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1858 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1859 
1860 #endif
1861