xref: /petsc/include/petscmat.h (revision 5e26d47bee92f501842428e6c4c2289ae309a7be)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATELL             "ell"
91 #define MATSEQELL          "seqell"
92 #define MATMPIELL          "mpiell"
93 #define MATDUMMY           "dummy"
94 
95 /*J
96     MatSolverPackage - 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 #define MatSolverPackage char*
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: MatSolverPackage, 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,const MatSolverPackage,MatFactorType,Mat*);
137 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
138 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
139 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
140 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
141 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,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
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 MatCreateSeqELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatSeqELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
217 
218 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
219 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
223 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
225 
226 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
235 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
236 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
237 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
238 
239 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
243 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
247 
248 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
249 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
250 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
251 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
252 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
253 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
254 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
255 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
256 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
257 
258 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
259 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
260 
261 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
265 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
266 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
267 
268 #if defined(PETSC_HAVE_HYPRE)
269 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
270 #endif
271 
272 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
273 
274 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
275 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
276 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
277 
278 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
279 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
280 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
281 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
282 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
283 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
284 
285 /* ------------------------------------------------------------*/
286 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
287 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
289 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
290 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
291 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
292 
293 /*S
294      MatStencil - Data structure (C struct) for storing information about a single row or
295         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
296 
297    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
298    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
299 
300    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
301 
302    Fortran usage is different, see MatSetValuesStencil() for details.
303 
304    Level: beginner
305 
306   Concepts: matrix; linear operator
307 
308 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
309 S*/
310 typedef struct {
311   PetscInt k,j,i,c;
312 } MatStencil;
313 
314 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
315 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
316 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
317 
318 /*E
319     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
320      to continue to add or insert values to it
321 
322     Level: beginner
323 
324 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
325 E*/
326 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
327 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
328 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
329 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
330 
331 
332 
333 /*E
334     MatOption - Options that may be set for a matrix and its behavior or storage
335 
336     Level: beginner
337 
338    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
339    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
340 
341    Developer Notes: Entries that are negative need not be called collectively by all processes.
342 
343 .seealso: MatSetOption()
344 E*/
345 typedef enum {MAT_OPTION_MIN = -3,
346               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
347               MAT_ROW_ORIENTED = -1,
348               MAT_SYMMETRIC = 1,
349               MAT_STRUCTURALLY_SYMMETRIC = 2,
350               MAT_NEW_DIAGONALS = 3,
351               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
352               MAT_USE_HASH_TABLE = 5,
353               MAT_KEEP_NONZERO_PATTERN = 6,
354               MAT_IGNORE_ZERO_ENTRIES = 7,
355               MAT_USE_INODES = 8,
356               MAT_HERMITIAN = 9,
357               MAT_SYMMETRY_ETERNAL = 10,
358               MAT_NEW_NONZERO_LOCATION_ERR = 11,
359               MAT_IGNORE_LOWER_TRIANGULAR = 12,
360               MAT_ERROR_LOWER_TRIANGULAR = 13,
361               MAT_GETROW_UPPERTRIANGULAR = 14,
362               MAT_SPD = 15,
363               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
364               MAT_NO_OFF_PROC_ENTRIES = 17,
365               MAT_NEW_NONZERO_LOCATIONS = 18,
366               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
367               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
368               MAT_SUBMAT_SINGLEIS = 21,
369               MAT_STRUCTURE_ONLY = 22,
370               MAT_OPTION_MAX = 23} MatOption;
371 
372 PETSC_EXTERN const char *const *MatOptions;
373 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
374 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
375 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
376 
377 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
379 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
381 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
383 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
384 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
385 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
386 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
388 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
389 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
390 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
391 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
392 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
393 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
394 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
395 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
396 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
397 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
398 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
399 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
400 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
401 
402 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
403 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
404 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
406 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
407 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
408 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
410 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
411 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
412 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
413 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
414 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
415 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
416 
417 /*E
418     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
419   its numerical values copied over or just its nonzero structure.
420 
421     Level: beginner
422 
423    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
424 
425 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
426 $                               with zeros for the numerical values.
427 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
428 $                               and with the same numerical values.
429 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
430 $                               and does not copy it, using zeros for the numerical values. The parent and
431 $                               child matrices will share their index (i and j) arrays, and you cannot
432 $                               insert new nonzero entries into either matrix.
433 
434 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
435 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
436 
437 .seealso: MatDuplicate()
438 E*/
439 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
440 
441 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
442 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
443 
444 
445 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
446 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
447 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
448 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
449 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
450 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
451 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
452 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
453 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
454 
455 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
456 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
457 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
458 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
459 
460 /*S
461      MatInfo - Context of matrix information, used with MatGetInfo()
462 
463    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
464 
465    Level: intermediate
466 
467   Concepts: matrix^nonzero information
468 
469 .seealso:  MatGetInfo(), MatInfoType
470 S*/
471 typedef struct {
472   PetscLogDouble block_size;                         /* block size */
473   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
474   PetscLogDouble memory;                             /* memory allocated */
475   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
476   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
477   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
478   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
479 } MatInfo;
480 
481 /*E
482     MatInfoType - Indicates if you want information about the local part of the matrix,
483      the entire parallel matrix or the maximum over all the local parts.
484 
485     Level: beginner
486 
487    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
488 
489 .seealso: MatGetInfo(), MatInfo
490 E*/
491 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
492 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
493 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
494 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
495 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
496 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
497 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
498 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
499 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
500 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
502 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
503 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
504 
505 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
506 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
507 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
508 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
509 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
510 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
512 
513 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
514 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
515 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
516 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
522 
523 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
524 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
525 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
526 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
527 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
528 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
529 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
530 
531 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
532 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);}
533 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
534 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);}
535 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
536 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
537 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
538 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);}
539 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
540 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
541 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
542 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
543 
544 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
545 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
546 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
547 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
548 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
549 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
550 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
551 
552 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
553 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
554 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
555 
556 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
557 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
558 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
559 
560 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
561 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
562 
563 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
564 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
566 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
567 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
569 
570 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
571 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
573 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
574 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
575 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
576 
577 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
578 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
579 
580 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
581 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
582 
583 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
584 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
585 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
586 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
587 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
588 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
589 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
590 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
591 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
592 
593 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
594 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
595 
596 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
597 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
598 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
599 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
600 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
601 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
602 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
603 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
604 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
605 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
606 
607 /*MC
608    MatSetValue - Set a single entry into a matrix.
609 
610    Not collective
611 
612    Synopsis:
613      #include <petscmat.h>
614      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
615 
616    Input Parameters:
617 +  m - the matrix
618 .  row - the row location of the entry
619 .  col - the column location of the entry
620 .  value - the value to insert
621 -  mode - either INSERT_VALUES or ADD_VALUES
622 
623    Notes:
624    For efficiency one should use MatSetValues() and set several or many
625    values simultaneously if possible.
626 
627    Level: beginner
628 
629 .seealso: MatSetValues(), MatSetValueLocal()
630 M*/
631 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
632 
633 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
634 
635 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
636 
637 /*MC
638    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
639        row in a matrix providing the data that one can use to correctly preallocate the matrix.
640 
641    Synopsis:
642    #include <petscmat.h>
643    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
644 
645    Collective on MPI_Comm
646 
647    Input Parameters:
648 +  comm - the communicator that will share the eventually allocated matrix
649 .  nrows - the number of LOCAL rows in the matrix
650 -  ncols - the number of LOCAL columns in the matrix
651 
652    Output Parameters:
653 +  dnz - the array that will be passed to the matrix preallocation routines
654 -  ozn - the other array passed to the matrix preallocation routines
655 
656    Level: intermediate
657 
658    Notes:
659     See Users-Manual: ch_performance for more details.
660 
661    Do not malloc or free dnz and onz, that is handled internally by these routines
662 
663    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
664 
665    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
666 
667   Concepts: preallocation^Matrix
668 
669 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
670           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
671 M*/
672 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
673 { \
674   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
675   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
676   __start = 0; __end = __start;                                         \
677   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
678   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
679 
680 /*MC
681    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
682        inserted using a local number of the rows and columns
683 
684    Synopsis:
685    #include <petscmat.h>
686    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
687 
688    Not Collective
689 
690    Input Parameters:
691 +  map - the row mapping from local numbering to global numbering
692 .  nrows - the number of rows indicated
693 .  rows - the indices of the rows
694 .  cmap - the column mapping from local to global numbering
695 .  ncols - the number of columns in the matrix
696 .  cols - the columns indicated
697 .  dnz - the array that will be passed to the matrix preallocation routines
698 -  ozn - the other array passed to the matrix preallocation routines
699 
700    Level: intermediate
701 
702    Notes:
703     See Users-Manual: ch_performance for more details.
704 
705    Do not malloc or free dnz and onz, that is handled internally by these routines
706 
707   Concepts: preallocation^Matrix
708 
709 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
710           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
711 M*/
712 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
713 {\
714   PetscInt __l;\
715   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
716   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
717   for (__l=0;__l<nrows;__l++) {\
718     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
719   }\
720 }
721 
722 /*MC
723    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
724        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
725 
726    Synopsis:
727    #include <petscmat.h>
728    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
729 
730    Not Collective
731 
732    Input Parameters:
733 +  map - the row mapping from local numbering to global numbering
734 .  nrows - the number of rows indicated
735 .  rows - the indices of the rows (these values are mapped to the global values)
736 .  cmap - the column mapping from local to global numbering
737 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
738 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
739 .  dnz - the array that will be passed to the matrix preallocation routines
740 -  ozn - the other array passed to the matrix preallocation routines
741 
742    Level: intermediate
743 
744    Notes:
745     See Users-Manual: ch_performance for more details.
746 
747    Do not malloc or free dnz and onz, that is handled internally by these routines
748 
749   Concepts: preallocation^Matrix
750 
751 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
752           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
753 M*/
754 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
755 {\
756   PetscInt __l;\
757   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
758   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
759   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
760   for (__l=0;__l<nrows;__l++) {\
761     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
762   }\
763 }
764 
765 /*MC
766    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
767        inserted using a local number of the rows and columns
768 
769    Synopsis:
770    #include <petscmat.h>
771    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
772 
773    Not Collective
774 
775    Input Parameters:
776 +  map - the row mapping from local numbering to global numbering
777 .  nrows - the number of rows indicated
778 .  rows - the indices of the rows
779 .  cmap - the column mapping from local to global numbering
780 .  ncols - the number of columns in the matrix
781 .  cols - the columns indicated
782 .  dnz - the array that will be passed to the matrix preallocation routines
783 -  ozn - the other array passed to the matrix preallocation routines
784 
785    Level: intermediate
786 
787    Notes:
788     See Users-Manual: ch_performance for more details.
789 
790    Do not malloc or free dnz and onz, that is handled internally by these routines
791 
792   Concepts: preallocation^Matrix
793 
794 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
795           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
796 M*/
797 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
798 {\
799   PetscInt __l;\
800   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
801   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
802   for (__l=0;__l<nrows;__l++) {\
803     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
804   }\
805 }
806 
807 /*MC
808    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
809        inserted using a local number of the rows and columns
810 
811    Synopsis:
812    #include <petscmat.h>
813    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
814 
815    Not Collective
816 
817    Input Parameters:
818 +  map - the mapping between local numbering and global numbering
819 .  nrows - the number of rows indicated
820 .  rows - the indices of the rows
821 .  ncols - the number of columns in the matrix
822 .  cols - the columns indicated
823 .  dnz - the array that will be passed to the matrix preallocation routines
824 -  ozn - the other array passed to the matrix preallocation routines
825 
826    Level: intermediate
827 
828    Notes:
829     See Users-Manual: ch_performance for more details.
830 
831    Do not malloc or free dnz and onz that is handled internally by these routines
832 
833   Concepts: preallocation^Matrix
834 
835 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
836           MatPreallocateInitialize(),  MatPreallocateSetLocal()
837 M*/
838 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
839 {\
840   PetscInt __l;\
841   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
842   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
843   for (__l=0;__l<nrows;__l++) {\
844     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
845   }\
846 }
847 /*MC
848    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
849        inserted using a local number of the rows and columns
850 
851    Synopsis:
852    #include <petscmat.h>
853    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
854 
855    Not Collective
856 
857    Input Parameters:
858 +  row - the row
859 .  ncols - the number of columns in the matrix
860 -  cols - the columns indicated
861 
862    Output Parameters:
863 +  dnz - the array that will be passed to the matrix preallocation routines
864 -  ozn - the other array passed to the matrix preallocation routines
865 
866    Level: intermediate
867 
868    Notes:
869     See Users-Manual: ch_performance for more details.
870 
871    Do not malloc or free dnz and onz that is handled internally by these routines
872 
873    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
874 
875   Concepts: preallocation^Matrix
876 
877 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
878           MatPreallocateInitialize(), MatPreallocateSetLocal()
879 M*/
880 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
881 { PetscInt __i; \
882   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);\
883   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);\
884   for (__i=0; __i<nc; __i++) {\
885     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
886     else dnz[row - __rstart]++;\
887   }\
888 }
889 
890 /*MC
891    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
892        inserted using a local number of the rows and columns
893 
894    Synopsis:
895    #include <petscmat.h>
896    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
897 
898    Not Collective
899 
900    Input Parameters:
901 +  nrows - the number of rows indicated
902 .  rows - the indices of the rows
903 .  ncols - the number of columns in the matrix
904 .  cols - the columns indicated
905 .  dnz - the array that will be passed to the matrix preallocation routines
906 -  ozn - the other array passed to the matrix preallocation routines
907 
908    Level: intermediate
909 
910    Notes:
911     See Users-Manual: ch_performance for more details.
912 
913    Do not malloc or free dnz and onz that is handled internally by these routines
914 
915    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
916 
917   Concepts: preallocation^Matrix
918 
919 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
920           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
921 M*/
922 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
923 { PetscInt __i; \
924   for (__i=0; __i<nc; __i++) {\
925     if (cols[__i] >= __end) onz[row - __rstart]++; \
926     else if (cols[__i] >= row) dnz[row - __rstart]++;\
927   }\
928 }
929 
930 /*MC
931    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
932 
933    Synopsis:
934    #include <petscmat.h>
935    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
936 
937    Not Collective
938 
939    Input Parameters:
940 .  A - matrix
941 .  row - row where values exist (must be local to this process)
942 .  ncols - number of columns
943 .  cols - columns with nonzeros
944 .  dnz - the array that will be passed to the matrix preallocation routines
945 -  ozn - the other array passed to the matrix preallocation routines
946 
947    Level: intermediate
948 
949    Notes:
950     See Users-Manual: ch_performance for more details.
951 
952    Do not malloc or free dnz and onz that is handled internally by these routines
953 
954    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
955 
956   Concepts: preallocation^Matrix
957 
958 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
959           MatPreallocateSymmetricSetLocalBlock()
960 M*/
961 #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);}
962 
963 
964 /*MC
965    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
966        row in a matrix providing the data that one can use to correctly preallocate the matrix.
967 
968    Synopsis:
969    #include <petscmat.h>
970    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
971 
972    Collective on MPI_Comm
973 
974    Input Parameters:
975 +  dnz - the array that was be passed to the matrix preallocation routines
976 -  ozn - the other array passed to the matrix preallocation routines
977 
978    Level: intermediate
979 
980    Notes:
981     See Users-Manual: ch_performance for more details.
982 
983    Do not malloc or free dnz and onz that is handled internally by these routines
984 
985    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
986 
987   Concepts: preallocation^Matrix
988 
989 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
990           MatPreallocateSymmetricSetLocalBlock()
991 M*/
992 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
993 
994 /* Routines unique to particular data structures */
995 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
996 
997 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
998 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
999 
1000 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1001 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1002 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1003 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1004 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1005 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1006 
1007 #define MAT_SKIP_ALLOCATION -4
1008 
1009 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1010 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1011 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1012 
1013 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1014 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1015 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1016 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1017 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1018 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1019 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1020 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1021 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1022 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1023 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1024 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1025 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1026 
1027 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1028 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1029 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1030 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1031 
1032 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1033 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1034 
1035 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1036 
1037 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1038 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1039 /*
1040   These routines are not usually accessed directly, rather solving is
1041   done through the KSP and PC interfaces.
1042 */
1043 
1044 /*J
1045     MatOrderingType - String with the name of a PETSc matrix ordering
1046 
1047    Level: beginner
1048 
1049 .seealso: MatGetOrdering()
1050 J*/
1051 typedef const char* MatOrderingType;
1052 #define MATORDERINGNATURAL     "natural"
1053 #define MATORDERINGND          "nd"
1054 #define MATORDERING1WD         "1wd"
1055 #define MATORDERINGRCM         "rcm"
1056 #define MATORDERINGQMD         "qmd"
1057 #define MATORDERINGROWLENGTH   "rowlength"
1058 #define MATORDERINGWBM         "wbm"
1059 #define MATORDERINGSPECTRAL    "spectral"
1060 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1061 
1062 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1063 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1064 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1065 PETSC_EXTERN PetscFunctionList MatOrderingList;
1066 
1067 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1068 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1069 
1070 /*S
1071     MatFactorShiftType - Numeric Shift.
1072 
1073    Level: beginner
1074 
1075 S*/
1076 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1077 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1078 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1079 
1080 /*S
1081     MatFactorError - indicates what type of error in matrix factor
1082 
1083     Level: beginner
1084 
1085     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1086 
1087 .seealso: MatGetFactor()
1088 S*/
1089 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1090 
1091 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1092 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1093 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1094 
1095 /*S
1096    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1097 
1098    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1099 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1100 
1101    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1102 
1103       You can use MatFactorInfoInitialize() to set default values.
1104 
1105    Level: developer
1106 
1107 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1108           MatFactorInfoInitialize()
1109 
1110 S*/
1111 typedef struct {
1112   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1113   PetscReal     usedt;
1114   PetscReal     dt;             /* drop tolerance */
1115   PetscReal     dtcol;          /* tolerance for pivoting */
1116   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1117   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1118   PetscReal     levels;         /* ICC/ILU(levels) */
1119   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1120                                    factorization may be faster if do not pivot */
1121   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1122   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1123   PetscReal     shiftamount;     /* how large the shift is */
1124 } MatFactorInfo;
1125 
1126 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1127 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1128 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1129 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1130 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1131 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1132 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1133 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1134 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1135 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1136 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1137 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1138 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1139 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1140 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1141 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1142 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1143 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1144 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1145 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1146 
1147 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1148 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1149 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1150 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1151 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1152 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1153 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1154 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1155 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1156 
1157 /*E
1158     MatSORType - What type of (S)SOR to perform
1159 
1160     Level: beginner
1161 
1162    May be bitwise ORd together
1163 
1164    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1165 
1166    MatSORType may be bitwise ORd together, so do not change the numbers
1167 
1168 .seealso: MatSOR()
1169 E*/
1170 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1171               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1172               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1173               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1174 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1175 
1176 /*
1177     These routines are for efficiently computing Jacobians via finite differences.
1178 */
1179 
1180 /*S
1181      MatColoring - Object for managing the coloring of matrices.
1182 
1183    Level: beginner
1184 
1185   Concepts: matrix, coloring
1186 
1187 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1188 S*/
1189 typedef struct _p_MatColoring* MatColoring;
1190 /*J
1191     MatColoringType - String with the name of a PETSc matrix coloring
1192 
1193    Level: beginner
1194 
1195 .seealso: MatColoringSetType(), MatColoring
1196 J*/
1197 
1198 typedef const  char*           MatColoringType;
1199 #define MATCOLORINGJP      "jp"
1200 #define MATCOLORINGPOWER   "power"
1201 #define MATCOLORINGNATURAL "natural"
1202 #define MATCOLORINGSL      "sl"
1203 #define MATCOLORINGLF      "lf"
1204 #define MATCOLORINGID      "id"
1205 #define MATCOLORINGGREEDY  "greedy"
1206 
1207 /*E
1208    MatColoringWeightType - Type of weight scheme
1209 
1210     Not Collective
1211 
1212 +   MAT_COLORING_RANDOM  - Random weights
1213 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1214 -   MAT_COLORING_LF      - Last-first weighting.
1215 
1216     Level: intermediate
1217 
1218    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1219 
1220 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1221 E*/
1222 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1223 
1224 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1225 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1226 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1227 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1228 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1229 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1230 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1231 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1232 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1233 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1234 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1235 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1236 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1237 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1238 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1239 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1240 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1241 
1242 /*S
1243      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1244         and coloring
1245 
1246    Level: beginner
1247 
1248   Concepts: coloring, sparse Jacobian, finite differences
1249 
1250 .seealso:  MatFDColoringCreate()
1251 S*/
1252 typedef struct _p_MatFDColoring* MatFDColoring;
1253 
1254 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1255 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1256 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1257 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1258 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1259 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1260 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1261 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1262 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1263 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1264 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1265 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1266 
1267 
1268 /*S
1269      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1270 
1271    Level: beginner
1272 
1273   Concepts: coloring, sparse matrix product
1274 
1275 .seealso:  MatTransposeColoringCreate()
1276 S*/
1277 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1278 
1279 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1280 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1281 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1282 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1283 
1284 /*
1285     These routines are for partitioning matrices: currently used only
1286   for adjacency matrix, MatCreateMPIAdj().
1287 */
1288 
1289 /*S
1290      MatPartitioning - Object for managing the partitioning of a matrix or graph
1291 
1292    Level: beginner
1293 
1294   Concepts: partitioning
1295 
1296 .seealso:  MatPartitioningCreate(), MatPartitioningType
1297 S*/
1298 typedef struct _p_MatPartitioning* MatPartitioning;
1299 
1300 /*J
1301     MatPartitioningType - String with the name of a PETSc matrix partitioning
1302 
1303    Level: beginner
1304 dm
1305 .seealso: MatPartitioningCreate(), MatPartitioning
1306 J*/
1307 typedef const char* MatPartitioningType;
1308 #define MATPARTITIONINGCURRENT  "current"
1309 #define MATPARTITIONINGAVERAGE   "average"
1310 #define MATPARTITIONINGSQUARE   "square"
1311 #define MATPARTITIONINGPARMETIS "parmetis"
1312 #define MATPARTITIONINGCHACO    "chaco"
1313 #define MATPARTITIONINGPARTY    "party"
1314 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1315 #define MATPARTITIONINGHIERARCH  "hierarch"
1316 
1317 
1318 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1326 
1327 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1328 
1329 
1330 
1331 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1334 
1335 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1336 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1338 
1339 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1340 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1341 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1342 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1343 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1344 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1345 
1346 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1357 
1358 #define MP_PARTY_OPT "opt"
1359 #define MP_PARTY_LIN "lin"
1360 #define MP_PARTY_SCA "sca"
1361 #define MP_PARTY_RAN "ran"
1362 #define MP_PARTY_GBF "gbf"
1363 #define MP_PARTY_GCF "gcf"
1364 #define MP_PARTY_BUB "bub"
1365 #define MP_PARTY_DEF "def"
1366 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1367 #define MP_PARTY_HELPFUL_SETS "hs"
1368 #define MP_PARTY_KERNIGHAN_LIN "kl"
1369 #define MP_PARTY_NONE "no"
1370 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1374 
1375 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1376 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1377 
1378 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1379 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1380 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1382 
1383 /*
1384  * hierarchical partitioning
1385  */
1386 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1387 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1388 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1390 
1391 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1392 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1393 
1394 /*
1395     If you add entries here you must also add them to petsc/finclude/petscmat.h
1396 */
1397 typedef enum { MATOP_SET_VALUES=0,
1398                MATOP_GET_ROW=1,
1399                MATOP_RESTORE_ROW=2,
1400                MATOP_MULT=3,
1401                MATOP_MULT_ADD=4,
1402                MATOP_MULT_TRANSPOSE=5,
1403                MATOP_MULT_TRANSPOSE_ADD=6,
1404                MATOP_SOLVE=7,
1405                MATOP_SOLVE_ADD=8,
1406                MATOP_SOLVE_TRANSPOSE=9,
1407                MATOP_SOLVE_TRANSPOSE_ADD=10,
1408                MATOP_LUFACTOR=11,
1409                MATOP_CHOLESKYFACTOR=12,
1410                MATOP_SOR=13,
1411                MATOP_TRANSPOSE=14,
1412                MATOP_GETINFO=15,
1413                MATOP_EQUAL=16,
1414                MATOP_GET_DIAGONAL=17,
1415                MATOP_DIAGONAL_SCALE=18,
1416                MATOP_NORM=19,
1417                MATOP_ASSEMBLY_BEGIN=20,
1418                MATOP_ASSEMBLY_END=21,
1419                MATOP_SET_OPTION=22,
1420                MATOP_ZERO_ENTRIES=23,
1421                MATOP_ZERO_ROWS=24,
1422                MATOP_LUFACTOR_SYMBOLIC=25,
1423                MATOP_LUFACTOR_NUMERIC=26,
1424                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1425                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1426                MATOP_SETUP_PREALLOCATION=29,
1427                MATOP_ILUFACTOR_SYMBOLIC=30,
1428                MATOP_ICCFACTOR_SYMBOLIC=31,
1429                MATOP_GET_DIAGONAL_BLOCK=32,
1430                /* MATOP_PLACEHOLDER_33=33, */
1431                MATOP_DUPLICATE=34,
1432                MATOP_FORWARD_SOLVE=35,
1433                MATOP_BACKWARD_SOLVE=36,
1434                MATOP_ILUFACTOR=37,
1435                MATOP_ICCFACTOR=38,
1436                MATOP_AXPY=39,
1437                MATOP_CREATE_SUBMATRICES=40,
1438                MATOP_INCREASE_OVERLAP=41,
1439                MATOP_GET_VALUES=42,
1440                MATOP_COPY=43,
1441                MATOP_GET_ROW_MAX=44,
1442                MATOP_SCALE=45,
1443                MATOP_SHIFT=46,
1444                MATOP_DIAGONAL_SET=47,
1445                MATOP_ZERO_ROWS_COLUMNS=48,
1446                MATOP_SET_RANDOM=49,
1447                MATOP_GET_ROW_IJ=50,
1448                MATOP_RESTORE_ROW_IJ=51,
1449                MATOP_GET_COLUMN_IJ=52,
1450                MATOP_RESTORE_COLUMN_IJ=53,
1451                MATOP_FDCOLORING_CREATE=54,
1452                MATOP_COLORING_PATCH=55,
1453                MATOP_SET_UNFACTORED=56,
1454                MATOP_PERMUTE=57,
1455                MATOP_SET_VALUES_BLOCKED=58,
1456                MATOP_CREATE_SUBMATRIX=59,
1457                MATOP_DESTROY=60,
1458                MATOP_VIEW=61,
1459                MATOP_CONVERT_FROM=62,
1460                MATOP_MATMAT_MULT=63,
1461                MATOP_MATMAT_MULT_SYMBOLIC=64,
1462                MATOP_MATMAT_MULT_NUMERIC=65,
1463                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1464                MATOP_SET_VALUES_LOCAL=67,
1465                MATOP_ZERO_ROWS_LOCAL=68,
1466                MATOP_GET_ROW_MAX_ABS=69,
1467                MATOP_GET_ROW_MIN_ABS=70,
1468                MATOP_CONVERT=71,
1469                MATOP_SET_COLORING=72,
1470                /* MATOP_PLACEHOLDER_73=73, */
1471                MATOP_SET_VALUES_ADIFOR=74,
1472                MATOP_FD_COLORING_APPLY=75,
1473                MATOP_SET_FROM_OPTIONS=76,
1474                MATOP_MULT_CONSTRAINED=77,
1475                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1476                MATOP_FIND_ZERO_DIAGONALS=79,
1477                MATOP_MULT_MULTIPLE=80,
1478                MATOP_SOLVE_MULTIPLE=81,
1479                MATOP_GET_INERTIA=82,
1480                MATOP_LOAD=83,
1481                MATOP_IS_SYMMETRIC=84,
1482                MATOP_IS_HERMITIAN=85,
1483                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1484                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1485                MATOP_CREATE_VECS=88,
1486                MATOP_MAT_MULT=89,
1487                MATOP_MAT_MULT_SYMBOLIC=90,
1488                MATOP_MAT_MULT_NUMERIC=91,
1489                MATOP_PTAP=92,
1490                MATOP_PTAP_SYMBOLIC=93,
1491                MATOP_PTAP_NUMERIC=94,
1492                MATOP_MAT_TRANSPOSE_MULT=95,
1493                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1494                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1495                /* MATOP_PLACEHOLDER_98=98, */
1496                /* MATOP_PLACEHOLDER_99=99, */
1497                /* MATOP_PLACEHOLDER_100=100, */
1498                /* MATOP_PLACEHOLDER_101=101, */
1499                MATOP_CONJUGATE=102,
1500                /* MATOP_PLACEHOLDER_103=103, */
1501                MATOP_SET_VALUES_ROW=104,
1502                MATOP_REAL_PART=105,
1503                MATOP_IMAGINARY_PART=106,
1504                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1505                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1506                MATOP_MAT_SOLVE=109,
1507                MATOP_MAT_SOLVE_TRANSPOSE=110,
1508                MATOP_GET_ROW_MIN=111,
1509                MATOP_GET_COLUMN_VECTOR=112,
1510                MATOP_MISSING_DIAGONAL=113,
1511                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1512                MATOP_CREATE=115,
1513                MATOP_GET_GHOSTS=116,
1514                MATOP_GET_LOCAL_SUB_MATRIX=117,
1515                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1516                MATOP_MULT_DIAGONAL_BLOCK=119,
1517                MATOP_HERMITIAN_TRANSPOSE=120,
1518                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1519                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1520                MATOP_GET_MULTI_PROC_BLOCK=123,
1521                MATOP_FIND_NONZERO_ROWS=124,
1522                MATOP_GET_COLUMN_NORMS=125,
1523                MATOP_INVERT_BLOCK_DIAGONAL=126,
1524                /* MATOP_PLACEHOLDER_127=127, */
1525                MATOP_CREATE_SUB_MATRICES_MPI=128,
1526                MATOP_SET_VALUES_BATCH=129,
1527                MATOP_TRANSPOSE_MAT_MULT=130,
1528                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1529                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1530                MATOP_TRANSPOSE_COLORING_CREAT=133,
1531                MATOP_TRANS_COLORING_APPLY_SPT=134,
1532                MATOP_TRANS_COLORING_APPLY_DEN=135,
1533                MATOP_RART=136,
1534                MATOP_RART_SYMBOLIC=137,
1535                MATOP_RART_NUMERIC=138,
1536                MATOP_SET_BLOCK_SIZES=139,
1537                MATOP_AYPX=140,
1538                MATOP_RESIDUAL=141,
1539                MATOP_FDCOLORING_SETUP=142,
1540                MATOP_MPICONCATENATESEQ=144,
1541                MATOP_DESTROYSUBMATRICES=145
1542              } MatOperation;
1543 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1544 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1545 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1546 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1547 
1548 /*
1549    Codes for matrices stored on disk. By default they are
1550    stored in a universal format. By changing the format with
1551    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1552    be stored in a way natural for the matrix, for example dense matrices
1553    would be stored as dense. Matrices stored this way may only be
1554    read into matrices of the same type.
1555 */
1556 #define MATRIX_BINARY_FORMAT_DENSE -1
1557 
1558 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1559 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1561 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1562 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1563 
1564 /*S
1565      MatNullSpace - Object that removes a null space from a vector, i.e.
1566          orthogonalizes the vector to a subsapce
1567 
1568    Level: advanced
1569 
1570   Concepts: matrix; linear operator, null space
1571 
1572   Users manual sections:
1573 .   sec_singular
1574 
1575 .seealso:  MatNullSpaceCreate()
1576 S*/
1577 typedef struct _p_MatNullSpace* MatNullSpace;
1578 
1579 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1580 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1581 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1582 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1583 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1584 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1585 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1586 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1587 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1588 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1589 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1590 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1591 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1592 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1593 
1594 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1595 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1596 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1597 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1598 
1599 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1600 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1601 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1602 
1603 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1604 
1605 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1606 
1607 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1608 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1609 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1610 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1611 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1612 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1613 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1614 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1615 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1616 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1617 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1618 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1619 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1620 
1621 /*S
1622     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1623               Jacobian vector products
1624 
1625     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1626 
1627            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1628 
1629     Level: developer
1630 
1631 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1632 S*/
1633 typedef struct _p_MatMFFD* MatMFFD;
1634 
1635 /*J
1636     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1637 
1638    Level: beginner
1639 
1640 .seealso: MatMFFDSetType(), MatMFFDRegister()
1641 J*/
1642 typedef const char* MatMFFDType;
1643 #define MATMFFD_DS  "ds"
1644 #define MATMFFD_WP  "wp"
1645 
1646 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1647 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1648 
1649 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1650 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1651 
1652 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1653 
1654 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1655 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1656 
1657 /*
1658    PETSc interface to MUMPS
1659 */
1660 #ifdef PETSC_HAVE_MUMPS
1661 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1662 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1663 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1664 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1665 
1666 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1667 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1668 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1669 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1670 #endif
1671 
1672 /*
1673    PETSc interface to Mkl_Pardiso
1674 */
1675 #ifdef PETSC_HAVE_MKL_PARDISO
1676 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1677 #endif
1678 
1679 /*
1680    PETSc interface to Mkl_CPardiso
1681 */
1682 #ifdef PETSC_HAVE_MKL_CPARDISO
1683 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1684 #endif
1685 
1686 /*
1687    PETSc interface to SUPERLU
1688 */
1689 #ifdef PETSC_HAVE_SUPERLU
1690 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1691 #endif
1692 
1693 /*
1694    PETSc interface to SUPERLU_DIST
1695 */
1696 #ifdef PETSC_HAVE_SUPERLU_DIST
1697 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1698 #endif
1699 
1700 /*
1701    PETSc interface to STRUMPACK
1702 */
1703 #ifdef PETSC_HAVE_STRUMPACK
1704 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1705 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1706 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1707 #endif
1708 
1709 
1710 #ifdef PETSC_HAVE_CUDA
1711 /*E
1712     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1713     matrices.
1714 
1715     Not Collective
1716 
1717 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1718 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1719 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1720 
1721     Level: intermediate
1722 
1723    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1724 
1725 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1726 E*/
1727 
1728 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1729 
1730 /* these will be strings associated with enumerated type defined above */
1731 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1732 
1733 /*E
1734     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1735     matrices whose operation should use a particular storage format.
1736 
1737     Not Collective
1738 
1739 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1740 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1741 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1742 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1743 
1744     Level: intermediate
1745 
1746 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1747 E*/
1748 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1749 
1750 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1751 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1752 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1753 #endif
1754 
1755 #if defined(PETSC_HAVE_CUSP)
1756 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1757 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1758 
1759 /*E
1760     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1761     matrices.
1762 
1763     Not Collective
1764 
1765 +   MAT_CUSP_CSR - Compressed Sparse Row
1766 .   MAT_CUSP_DIA - Diagonal
1767 -   MAT_CUSP_ELL - Ellpack
1768 
1769     Level: intermediate
1770 
1771    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1772 
1773 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1774 E*/
1775 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1776 
1777 /* these will be strings associated with enumerated type defined above */
1778 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1779 
1780 /*E
1781     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1782     matrices whose operation should use a particular storage format.
1783 
1784     Not Collective
1785 
1786 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1787 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1788 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1789 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1790 
1791     Level: intermediate
1792 
1793    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1794 
1795 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1796 E*/
1797 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1798 
1799 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1800 #endif
1801 
1802 #if defined(PETSC_HAVE_VIENNACL)
1803 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1804 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1805 #endif
1806 
1807 /*
1808    PETSc interface to FFTW
1809 */
1810 #if defined(PETSC_HAVE_FFTW)
1811 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1812 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1813 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1814 #endif
1815 
1816 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1817 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1818 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1819 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1820 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1821 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1822 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1823 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1824 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1825 
1826 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1827 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1828 
1829 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1830 
1831 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1832 
1833 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1834 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1835 
1836 #endif
1837