xref: /petsc/include/petscmat.h (revision dc424cfae46ffd055acbb99fbc61fc85fc92f9ad)
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_SPARSE
211 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
212 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A);
213 #endif
214 PETSC_EXTERN PetscErrorCode 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 PETSC_EXTERN PetscErrorCode MatMPIELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
218 
219 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
226 
227 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
236 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
237 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
238 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
243 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
248 
249 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
250 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
251 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
252 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
253 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
254 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
255 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
256 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
257 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
261 
262 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
266 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
267 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
268 
269 #if defined(PETSC_HAVE_HYPRE)
270 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
271 #endif
272 
273 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
274 
275 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
276 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
277 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
278 
279 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
280 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
281 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
282 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
283 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
284 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
285 
286 /* ------------------------------------------------------------*/
287 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
288 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
289 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
290 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
291 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
292 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
293 
294 /*S
295      MatStencil - Data structure (C struct) for storing information about a single row or
296         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
297 
298    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).
299    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.
300 
301    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
302 
303    Fortran usage is different, see MatSetValuesStencil() for details.
304 
305    Level: beginner
306 
307   Concepts: matrix; linear operator
308 
309 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
310 S*/
311 typedef struct {
312   PetscInt k,j,i,c;
313 } MatStencil;
314 
315 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
316 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
317 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
318 
319 /*E
320     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
321      to continue to add or insert values to it
322 
323     Level: beginner
324 
325 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
326 E*/
327 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
328 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
329 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
330 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
331 
332 
333 
334 /*E
335     MatOption - Options that may be set for a matrix and its behavior or storage
336 
337     Level: beginner
338 
339    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
340    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
341 
342    Developer Notes: Entries that are negative need not be called collectively by all processes.
343 
344 .seealso: MatSetOption()
345 E*/
346 typedef enum {MAT_OPTION_MIN = -3,
347               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
348               MAT_ROW_ORIENTED = -1,
349               MAT_SYMMETRIC = 1,
350               MAT_STRUCTURALLY_SYMMETRIC = 2,
351               MAT_NEW_DIAGONALS = 3,
352               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
353               MAT_USE_HASH_TABLE = 5,
354               MAT_KEEP_NONZERO_PATTERN = 6,
355               MAT_IGNORE_ZERO_ENTRIES = 7,
356               MAT_USE_INODES = 8,
357               MAT_HERMITIAN = 9,
358               MAT_SYMMETRY_ETERNAL = 10,
359               MAT_NEW_NONZERO_LOCATION_ERR = 11,
360               MAT_IGNORE_LOWER_TRIANGULAR = 12,
361               MAT_ERROR_LOWER_TRIANGULAR = 13,
362               MAT_GETROW_UPPERTRIANGULAR = 14,
363               MAT_SPD = 15,
364               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
365               MAT_NO_OFF_PROC_ENTRIES = 17,
366               MAT_NEW_NONZERO_LOCATIONS = 18,
367               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
368               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
369               MAT_SUBMAT_SINGLEIS = 21,
370               MAT_STRUCTURE_ONLY = 22,
371               MAT_OPTION_MAX = 23} MatOption;
372 
373 PETSC_EXTERN const char *const *MatOptions;
374 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
375 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
376 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
377 
378 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
379 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
380 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
381 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
382 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
383 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
384 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
385 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
386 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
387 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
388 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
389 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
390 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
391 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
392 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
393 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
394 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
395 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
396 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
397 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
398 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
399 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
400 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
401 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
402 
403 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
404 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
406 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
407 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
408 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
409 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
410 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
411 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
412 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
413 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
414 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
415 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
416 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
417 
418 /*E
419     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
420   its numerical values copied over or just its nonzero structure.
421 
422     Level: beginner
423 
424    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
425 
426 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
427 $                               with zeros for the numerical values.
428 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
429 $                               and with the same numerical values.
430 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
431 $                               and does not copy it, using zeros for the numerical values. The parent and
432 $                               child matrices will share their index (i and j) arrays, and you cannot
433 $                               insert new nonzero entries into either matrix.
434 
435 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
436 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
437 
438 .seealso: MatDuplicate()
439 E*/
440 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
441 
442 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
443 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
444 
445 
446 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
447 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
448 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
449 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
450 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
451 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
452 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
453 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
454 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
455 
456 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
457 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
458 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
459 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
460 
461 /*S
462      MatInfo - Context of matrix information, used with MatGetInfo()
463 
464    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
465 
466    Level: intermediate
467 
468   Concepts: matrix^nonzero information
469 
470 .seealso:  MatGetInfo(), MatInfoType
471 S*/
472 typedef struct {
473   PetscLogDouble block_size;                         /* block size */
474   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
475   PetscLogDouble memory;                             /* memory allocated */
476   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
477   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
478   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
479   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
480 } MatInfo;
481 
482 /*E
483     MatInfoType - Indicates if you want information about the local part of the matrix,
484      the entire parallel matrix or the maximum over all the local parts.
485 
486     Level: beginner
487 
488    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
489 
490 .seealso: MatGetInfo(), MatInfo
491 E*/
492 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
493 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
494 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
495 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
496 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
497 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
498 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
499 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
500 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
501 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
502 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
503 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
504 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
505 
506 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
507 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
508 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
509 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
510 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
511 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
512 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
513 
514 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
515 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
516 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
517 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
523 
524 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
525 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
526 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
527 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
528 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
529 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
530 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
531 
532 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
533 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);}
534 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
535 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);}
536 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
537 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
538 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
539 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);}
540 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
541 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
542 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
543 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
544 
545 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
546 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
547 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
548 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
549 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
550 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
551 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
552 
553 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
554 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
555 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
556 
557 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
558 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
559 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
560 
561 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
563 
564 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
566 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
567 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
570 
571 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
572 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
573 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
574 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
575 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
576 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
577 
578 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
579 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
580 
581 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
582 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
583 
584 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
585 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
586 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
587 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
588 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
589 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
590 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
591 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
592 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
593 
594 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
595 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
596 
597 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
598 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
599 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
600 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
601 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
602 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
603 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
604 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
605 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
606 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
607 
608 /*MC
609    MatSetValue - Set a single entry into a matrix.
610 
611    Not collective
612 
613    Synopsis:
614      #include <petscmat.h>
615      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
616 
617    Input Parameters:
618 +  m - the matrix
619 .  row - the row location of the entry
620 .  col - the column location of the entry
621 .  value - the value to insert
622 -  mode - either INSERT_VALUES or ADD_VALUES
623 
624    Notes:
625    For efficiency one should use MatSetValues() and set several or many
626    values simultaneously if possible.
627 
628    Level: beginner
629 
630 .seealso: MatSetValues(), MatSetValueLocal()
631 M*/
632 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
633 
634 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
635 
636 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
637 
638 /*MC
639    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
640        row in a matrix providing the data that one can use to correctly preallocate the matrix.
641 
642    Synopsis:
643    #include <petscmat.h>
644    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
645 
646    Collective on MPI_Comm
647 
648    Input Parameters:
649 +  comm - the communicator that will share the eventually allocated matrix
650 .  nrows - the number of LOCAL rows in the matrix
651 -  ncols - the number of LOCAL columns in the matrix
652 
653    Output Parameters:
654 +  dnz - the array that will be passed to the matrix preallocation routines
655 -  ozn - the other array passed to the matrix preallocation routines
656 
657    Level: intermediate
658 
659    Notes:
660     See Users-Manual: ch_performance for more details.
661 
662    Do not malloc or free dnz and onz, that is handled internally by these routines
663 
664    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
665 
666    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
667 
668   Concepts: preallocation^Matrix
669 
670 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
671           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
672 M*/
673 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
674 { \
675   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
676   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
677   __start = 0; __end = __start;                                         \
678   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
679   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
680 
681 /*MC
682    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
683        inserted using a local number of the rows and columns
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
688 
689    Not Collective
690 
691    Input Parameters:
692 +  map - the row mapping from local numbering to global numbering
693 .  nrows - the number of rows indicated
694 .  rows - the indices of the rows
695 .  cmap - the column mapping from local to global numbering
696 .  ncols - the number of columns in the matrix
697 .  cols - the columns indicated
698 .  dnz - the array that will be passed to the matrix preallocation routines
699 -  ozn - the other array passed to the matrix preallocation routines
700 
701    Level: intermediate
702 
703    Notes:
704     See Users-Manual: ch_performance for more details.
705 
706    Do not malloc or free dnz and onz, that is handled internally by these routines
707 
708   Concepts: preallocation^Matrix
709 
710 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
711           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
712 M*/
713 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
714 {\
715   PetscInt __l;\
716   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
717   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
718   for (__l=0;__l<nrows;__l++) {\
719     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
720   }\
721 }
722 
723 /*MC
724    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
725        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
726 
727    Synopsis:
728    #include <petscmat.h>
729    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
730 
731    Not Collective
732 
733    Input Parameters:
734 +  map - the row mapping from local numbering to global numbering
735 .  nrows - the number of rows indicated
736 .  rows - the indices of the rows (these values are mapped to the global values)
737 .  cmap - the column mapping from local to global numbering
738 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
739 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
740 .  dnz - the array that will be passed to the matrix preallocation routines
741 -  ozn - the other array passed to the matrix preallocation routines
742 
743    Level: intermediate
744 
745    Notes:
746     See Users-Manual: ch_performance for more details.
747 
748    Do not malloc or free dnz and onz, that is handled internally by these routines
749 
750   Concepts: preallocation^Matrix
751 
752 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
753           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
754 M*/
755 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
756 {\
757   PetscInt __l;\
758   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
759   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
760   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
761   for (__l=0;__l<nrows;__l++) {\
762     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
763   }\
764 }
765 
766 /*MC
767    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
768        inserted using a local number of the rows and columns
769 
770    Synopsis:
771    #include <petscmat.h>
772    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
773 
774    Not Collective
775 
776    Input Parameters:
777 +  map - the row mapping from local numbering to global numbering
778 .  nrows - the number of rows indicated
779 .  rows - the indices of the rows
780 .  cmap - the column mapping from local to global numbering
781 .  ncols - the number of columns in the matrix
782 .  cols - the columns indicated
783 .  dnz - the array that will be passed to the matrix preallocation routines
784 -  ozn - the other array passed to the matrix preallocation routines
785 
786    Level: intermediate
787 
788    Notes:
789     See Users-Manual: ch_performance for more details.
790 
791    Do not malloc or free dnz and onz, that is handled internally by these routines
792 
793   Concepts: preallocation^Matrix
794 
795 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
796           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
797 M*/
798 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
799 {\
800   PetscInt __l;\
801   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
802   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
803   for (__l=0;__l<nrows;__l++) {\
804     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
805   }\
806 }
807 
808 /*MC
809    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
810        inserted using a local number of the rows and columns
811 
812    Synopsis:
813    #include <petscmat.h>
814    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
815 
816    Not Collective
817 
818    Input Parameters:
819 +  map - the mapping between local numbering and global numbering
820 .  nrows - the number of rows indicated
821 .  rows - the indices of the rows
822 .  ncols - the number of columns in the matrix
823 .  cols - the columns indicated
824 .  dnz - the array that will be passed to the matrix preallocation routines
825 -  ozn - the other array passed to the matrix preallocation routines
826 
827    Level: intermediate
828 
829    Notes:
830     See Users-Manual: ch_performance for more details.
831 
832    Do not malloc or free dnz and onz that is handled internally by these routines
833 
834   Concepts: preallocation^Matrix
835 
836 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
837           MatPreallocateInitialize(),  MatPreallocateSetLocal()
838 M*/
839 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
840 {\
841   PetscInt __l;\
842   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
843   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
844   for (__l=0;__l<nrows;__l++) {\
845     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
846   }\
847 }
848 /*MC
849    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
850        inserted using a local number of the rows and columns
851 
852    Synopsis:
853    #include <petscmat.h>
854    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
855 
856    Not Collective
857 
858    Input Parameters:
859 +  row - the row
860 .  ncols - the number of columns in the matrix
861 -  cols - the columns indicated
862 
863    Output Parameters:
864 +  dnz - the array that will be passed to the matrix preallocation routines
865 -  ozn - the other array passed to the matrix preallocation routines
866 
867    Level: intermediate
868 
869    Notes:
870     See Users-Manual: ch_performance for more details.
871 
872    Do not malloc or free dnz and onz that is handled internally by these routines
873 
874    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
875 
876   Concepts: preallocation^Matrix
877 
878 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
879           MatPreallocateInitialize(), MatPreallocateSetLocal()
880 M*/
881 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
882 { PetscInt __i; \
883   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);\
884   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);\
885   for (__i=0; __i<nc; __i++) {\
886     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
887     else dnz[row - __rstart]++;\
888   }\
889 }
890 
891 /*MC
892    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
893        inserted using a local number of the rows and columns
894 
895    Synopsis:
896    #include <petscmat.h>
897    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
898 
899    Not Collective
900 
901    Input Parameters:
902 +  nrows - the number of rows indicated
903 .  rows - the indices of the rows
904 .  ncols - the number of columns in the matrix
905 .  cols - the columns indicated
906 .  dnz - the array that will be passed to the matrix preallocation routines
907 -  ozn - the other array passed to the matrix preallocation routines
908 
909    Level: intermediate
910 
911    Notes:
912     See Users-Manual: ch_performance for more details.
913 
914    Do not malloc or free dnz and onz that is handled internally by these routines
915 
916    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
917 
918   Concepts: preallocation^Matrix
919 
920 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
921           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
922 M*/
923 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
924 { PetscInt __i; \
925   for (__i=0; __i<nc; __i++) {\
926     if (cols[__i] >= __end) onz[row - __rstart]++; \
927     else if (cols[__i] >= row) dnz[row - __rstart]++;\
928   }\
929 }
930 
931 /*MC
932    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
933 
934    Synopsis:
935    #include <petscmat.h>
936    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
937 
938    Not Collective
939 
940    Input Parameters:
941 .  A - matrix
942 .  row - row where values exist (must be local to this process)
943 .  ncols - number of columns
944 .  cols - columns with nonzeros
945 .  dnz - the array that will be passed to the matrix preallocation routines
946 -  ozn - the other array passed to the matrix preallocation routines
947 
948    Level: intermediate
949 
950    Notes:
951     See Users-Manual: ch_performance for more details.
952 
953    Do not malloc or free dnz and onz that is handled internally by these routines
954 
955    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
956 
957   Concepts: preallocation^Matrix
958 
959 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
960           MatPreallocateSymmetricSetLocalBlock()
961 M*/
962 #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);}
963 
964 
965 /*MC
966    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
967        row in a matrix providing the data that one can use to correctly preallocate the matrix.
968 
969    Synopsis:
970    #include <petscmat.h>
971    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
972 
973    Collective on MPI_Comm
974 
975    Input Parameters:
976 +  dnz - the array that was be passed to the matrix preallocation routines
977 -  ozn - the other array passed to the matrix preallocation routines
978 
979    Level: intermediate
980 
981    Notes:
982     See Users-Manual: ch_performance for more details.
983 
984    Do not malloc or free dnz and onz that is handled internally by these routines
985 
986    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
987 
988   Concepts: preallocation^Matrix
989 
990 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
991           MatPreallocateSymmetricSetLocalBlock()
992 M*/
993 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
994 
995 /* Routines unique to particular data structures */
996 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
997 
998 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
999 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1000 
1001 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1002 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1003 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1004 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1005 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1006 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1007 
1008 #define MAT_SKIP_ALLOCATION -4
1009 
1010 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1011 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1012 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1013 
1014 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1015 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1016 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1017 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1018 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1019 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1020 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1021 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1022 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1023 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1024 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1025 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1026 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1027 
1028 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1029 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1030 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1031 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1032 
1033 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1034 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1035 
1036 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1037 
1038 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1039 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1040 /*
1041   These routines are not usually accessed directly, rather solving is
1042   done through the KSP and PC interfaces.
1043 */
1044 
1045 /*J
1046     MatOrderingType - String with the name of a PETSc matrix ordering
1047 
1048    Level: beginner
1049 
1050 .seealso: MatGetOrdering()
1051 J*/
1052 typedef const char* MatOrderingType;
1053 #define MATORDERINGNATURAL     "natural"
1054 #define MATORDERINGND          "nd"
1055 #define MATORDERING1WD         "1wd"
1056 #define MATORDERINGRCM         "rcm"
1057 #define MATORDERINGQMD         "qmd"
1058 #define MATORDERINGROWLENGTH   "rowlength"
1059 #define MATORDERINGWBM         "wbm"
1060 #define MATORDERINGSPECTRAL    "spectral"
1061 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1062 
1063 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1064 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1065 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1066 PETSC_EXTERN PetscFunctionList MatOrderingList;
1067 
1068 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1069 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1070 
1071 /*S
1072     MatFactorShiftType - Numeric Shift.
1073 
1074    Level: beginner
1075 
1076 S*/
1077 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1078 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1079 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1080 
1081 /*S
1082     MatFactorError - indicates what type of error in matrix factor
1083 
1084     Level: beginner
1085 
1086     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1087 
1088 .seealso: MatGetFactor()
1089 S*/
1090 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1091 
1092 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1093 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1094 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1095 
1096 /*S
1097    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1098 
1099    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1100 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1101 
1102    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1103 
1104       You can use MatFactorInfoInitialize() to set default values.
1105 
1106    Level: developer
1107 
1108 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1109           MatFactorInfoInitialize()
1110 
1111 S*/
1112 typedef struct {
1113   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1114   PetscReal     usedt;
1115   PetscReal     dt;             /* drop tolerance */
1116   PetscReal     dtcol;          /* tolerance for pivoting */
1117   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1118   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1119   PetscReal     levels;         /* ICC/ILU(levels) */
1120   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1121                                    factorization may be faster if do not pivot */
1122   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1123   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1124   PetscReal     shiftamount;     /* how large the shift is */
1125 } MatFactorInfo;
1126 
1127 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1128 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1129 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1130 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1131 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1132 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1133 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1134 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1135 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1136 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1137 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1138 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1139 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1140 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1141 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1142 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1143 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1144 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1145 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1146 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1147 
1148 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1149 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1150 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1151 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1152 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1153 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1154 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1155 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1156 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1157 
1158 /*E
1159     MatSORType - What type of (S)SOR to perform
1160 
1161     Level: beginner
1162 
1163    May be bitwise ORd together
1164 
1165    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1166 
1167    MatSORType may be bitwise ORd together, so do not change the numbers
1168 
1169 .seealso: MatSOR()
1170 E*/
1171 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1172               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1173               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1174               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1175 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1176 
1177 /*
1178     These routines are for efficiently computing Jacobians via finite differences.
1179 */
1180 
1181 /*S
1182      MatColoring - Object for managing the coloring of matrices.
1183 
1184    Level: beginner
1185 
1186   Concepts: matrix, coloring
1187 
1188 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1189 S*/
1190 typedef struct _p_MatColoring* MatColoring;
1191 /*J
1192     MatColoringType - String with the name of a PETSc matrix coloring
1193 
1194    Level: beginner
1195 
1196 .seealso: MatColoringSetType(), MatColoring
1197 J*/
1198 
1199 typedef const  char*           MatColoringType;
1200 #define MATCOLORINGJP      "jp"
1201 #define MATCOLORINGPOWER   "power"
1202 #define MATCOLORINGNATURAL "natural"
1203 #define MATCOLORINGSL      "sl"
1204 #define MATCOLORINGLF      "lf"
1205 #define MATCOLORINGID      "id"
1206 #define MATCOLORINGGREEDY  "greedy"
1207 
1208 /*E
1209    MatColoringWeightType - Type of weight scheme
1210 
1211     Not Collective
1212 
1213 +   MAT_COLORING_RANDOM  - Random weights
1214 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1215 -   MAT_COLORING_LF      - Last-first weighting.
1216 
1217     Level: intermediate
1218 
1219    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1220 
1221 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1222 E*/
1223 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1224 
1225 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1226 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1227 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1228 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1229 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1230 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1231 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1232 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1233 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1234 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1235 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1236 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1237 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1238 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1239 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1240 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1241 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1242 
1243 /*S
1244      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1245         and coloring
1246 
1247    Level: beginner
1248 
1249   Concepts: coloring, sparse Jacobian, finite differences
1250 
1251 .seealso:  MatFDColoringCreate()
1252 S*/
1253 typedef struct _p_MatFDColoring* MatFDColoring;
1254 
1255 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1256 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1257 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1258 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1259 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1260 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1261 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1262 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1263 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1264 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1265 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1266 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1267 
1268 
1269 /*S
1270      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1271 
1272    Level: beginner
1273 
1274   Concepts: coloring, sparse matrix product
1275 
1276 .seealso:  MatTransposeColoringCreate()
1277 S*/
1278 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1279 
1280 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1281 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1282 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1283 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1284 
1285 /*
1286     These routines are for partitioning matrices: currently used only
1287   for adjacency matrix, MatCreateMPIAdj().
1288 */
1289 
1290 /*S
1291      MatPartitioning - Object for managing the partitioning of a matrix or graph
1292 
1293    Level: beginner
1294 
1295   Concepts: partitioning
1296 
1297 .seealso:  MatPartitioningCreate(), MatPartitioningType
1298 S*/
1299 typedef struct _p_MatPartitioning* MatPartitioning;
1300 
1301 /*J
1302     MatPartitioningType - String with the name of a PETSc matrix partitioning
1303 
1304    Level: beginner
1305 dm
1306 .seealso: MatPartitioningCreate(), MatPartitioning
1307 J*/
1308 typedef const char* MatPartitioningType;
1309 #define MATPARTITIONINGCURRENT  "current"
1310 #define MATPARTITIONINGAVERAGE   "average"
1311 #define MATPARTITIONINGSQUARE   "square"
1312 #define MATPARTITIONINGPARMETIS "parmetis"
1313 #define MATPARTITIONINGCHACO    "chaco"
1314 #define MATPARTITIONINGPARTY    "party"
1315 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1316 #define MATPARTITIONINGHIERARCH  "hierarch"
1317 
1318 
1319 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1327 
1328 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1329 
1330 
1331 
1332 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1335 
1336 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1337 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1338 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1339 
1340 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1341 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1342 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1343 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1344 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1345 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1346 
1347 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1353 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1354 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1355 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1356 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1358 
1359 #define MP_PARTY_OPT "opt"
1360 #define MP_PARTY_LIN "lin"
1361 #define MP_PARTY_SCA "sca"
1362 #define MP_PARTY_RAN "ran"
1363 #define MP_PARTY_GBF "gbf"
1364 #define MP_PARTY_GCF "gcf"
1365 #define MP_PARTY_BUB "bub"
1366 #define MP_PARTY_DEF "def"
1367 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1368 #define MP_PARTY_HELPFUL_SETS "hs"
1369 #define MP_PARTY_KERNIGHAN_LIN "kl"
1370 #define MP_PARTY_NONE "no"
1371 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1375 
1376 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1377 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1378 
1379 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1380 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1383 
1384 /*
1385  * hierarchical partitioning
1386  */
1387 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1388 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1390 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1391 
1392 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1393 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1394 
1395 /*
1396     If you add entries here you must also add them to petsc/finclude/petscmat.h
1397 */
1398 typedef enum { MATOP_SET_VALUES=0,
1399                MATOP_GET_ROW=1,
1400                MATOP_RESTORE_ROW=2,
1401                MATOP_MULT=3,
1402                MATOP_MULT_ADD=4,
1403                MATOP_MULT_TRANSPOSE=5,
1404                MATOP_MULT_TRANSPOSE_ADD=6,
1405                MATOP_SOLVE=7,
1406                MATOP_SOLVE_ADD=8,
1407                MATOP_SOLVE_TRANSPOSE=9,
1408                MATOP_SOLVE_TRANSPOSE_ADD=10,
1409                MATOP_LUFACTOR=11,
1410                MATOP_CHOLESKYFACTOR=12,
1411                MATOP_SOR=13,
1412                MATOP_TRANSPOSE=14,
1413                MATOP_GETINFO=15,
1414                MATOP_EQUAL=16,
1415                MATOP_GET_DIAGONAL=17,
1416                MATOP_DIAGONAL_SCALE=18,
1417                MATOP_NORM=19,
1418                MATOP_ASSEMBLY_BEGIN=20,
1419                MATOP_ASSEMBLY_END=21,
1420                MATOP_SET_OPTION=22,
1421                MATOP_ZERO_ENTRIES=23,
1422                MATOP_ZERO_ROWS=24,
1423                MATOP_LUFACTOR_SYMBOLIC=25,
1424                MATOP_LUFACTOR_NUMERIC=26,
1425                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1426                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1427                MATOP_SETUP_PREALLOCATION=29,
1428                MATOP_ILUFACTOR_SYMBOLIC=30,
1429                MATOP_ICCFACTOR_SYMBOLIC=31,
1430                MATOP_GET_DIAGONAL_BLOCK=32,
1431                /* MATOP_PLACEHOLDER_33=33, */
1432                MATOP_DUPLICATE=34,
1433                MATOP_FORWARD_SOLVE=35,
1434                MATOP_BACKWARD_SOLVE=36,
1435                MATOP_ILUFACTOR=37,
1436                MATOP_ICCFACTOR=38,
1437                MATOP_AXPY=39,
1438                MATOP_CREATE_SUBMATRICES=40,
1439                MATOP_INCREASE_OVERLAP=41,
1440                MATOP_GET_VALUES=42,
1441                MATOP_COPY=43,
1442                MATOP_GET_ROW_MAX=44,
1443                MATOP_SCALE=45,
1444                MATOP_SHIFT=46,
1445                MATOP_DIAGONAL_SET=47,
1446                MATOP_ZERO_ROWS_COLUMNS=48,
1447                MATOP_SET_RANDOM=49,
1448                MATOP_GET_ROW_IJ=50,
1449                MATOP_RESTORE_ROW_IJ=51,
1450                MATOP_GET_COLUMN_IJ=52,
1451                MATOP_RESTORE_COLUMN_IJ=53,
1452                MATOP_FDCOLORING_CREATE=54,
1453                MATOP_COLORING_PATCH=55,
1454                MATOP_SET_UNFACTORED=56,
1455                MATOP_PERMUTE=57,
1456                MATOP_SET_VALUES_BLOCKED=58,
1457                MATOP_CREATE_SUBMATRIX=59,
1458                MATOP_DESTROY=60,
1459                MATOP_VIEW=61,
1460                MATOP_CONVERT_FROM=62,
1461                MATOP_MATMAT_MULT=63,
1462                MATOP_MATMAT_MULT_SYMBOLIC=64,
1463                MATOP_MATMAT_MULT_NUMERIC=65,
1464                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1465                MATOP_SET_VALUES_LOCAL=67,
1466                MATOP_ZERO_ROWS_LOCAL=68,
1467                MATOP_GET_ROW_MAX_ABS=69,
1468                MATOP_GET_ROW_MIN_ABS=70,
1469                MATOP_CONVERT=71,
1470                MATOP_SET_COLORING=72,
1471                /* MATOP_PLACEHOLDER_73=73, */
1472                MATOP_SET_VALUES_ADIFOR=74,
1473                MATOP_FD_COLORING_APPLY=75,
1474                MATOP_SET_FROM_OPTIONS=76,
1475                MATOP_MULT_CONSTRAINED=77,
1476                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1477                MATOP_FIND_ZERO_DIAGONALS=79,
1478                MATOP_MULT_MULTIPLE=80,
1479                MATOP_SOLVE_MULTIPLE=81,
1480                MATOP_GET_INERTIA=82,
1481                MATOP_LOAD=83,
1482                MATOP_IS_SYMMETRIC=84,
1483                MATOP_IS_HERMITIAN=85,
1484                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1485                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1486                MATOP_CREATE_VECS=88,
1487                MATOP_MAT_MULT=89,
1488                MATOP_MAT_MULT_SYMBOLIC=90,
1489                MATOP_MAT_MULT_NUMERIC=91,
1490                MATOP_PTAP=92,
1491                MATOP_PTAP_SYMBOLIC=93,
1492                MATOP_PTAP_NUMERIC=94,
1493                MATOP_MAT_TRANSPOSE_MULT=95,
1494                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1495                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1496                /* MATOP_PLACEHOLDER_98=98, */
1497                /* MATOP_PLACEHOLDER_99=99, */
1498                /* MATOP_PLACEHOLDER_100=100, */
1499                /* MATOP_PLACEHOLDER_101=101, */
1500                MATOP_CONJUGATE=102,
1501                /* MATOP_PLACEHOLDER_103=103, */
1502                MATOP_SET_VALUES_ROW=104,
1503                MATOP_REAL_PART=105,
1504                MATOP_IMAGINARY_PART=106,
1505                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1506                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1507                MATOP_MAT_SOLVE=109,
1508                MATOP_MAT_SOLVE_TRANSPOSE=110,
1509                MATOP_GET_ROW_MIN=111,
1510                MATOP_GET_COLUMN_VECTOR=112,
1511                MATOP_MISSING_DIAGONAL=113,
1512                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1513                MATOP_CREATE=115,
1514                MATOP_GET_GHOSTS=116,
1515                MATOP_GET_LOCAL_SUB_MATRIX=117,
1516                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1517                MATOP_MULT_DIAGONAL_BLOCK=119,
1518                MATOP_HERMITIAN_TRANSPOSE=120,
1519                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1520                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1521                MATOP_GET_MULTI_PROC_BLOCK=123,
1522                MATOP_FIND_NONZERO_ROWS=124,
1523                MATOP_GET_COLUMN_NORMS=125,
1524                MATOP_INVERT_BLOCK_DIAGONAL=126,
1525                /* MATOP_PLACEHOLDER_127=127, */
1526                MATOP_CREATE_SUB_MATRICES_MPI=128,
1527                MATOP_SET_VALUES_BATCH=129,
1528                MATOP_TRANSPOSE_MAT_MULT=130,
1529                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1530                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1531                MATOP_TRANSPOSE_COLORING_CREAT=133,
1532                MATOP_TRANS_COLORING_APPLY_SPT=134,
1533                MATOP_TRANS_COLORING_APPLY_DEN=135,
1534                MATOP_RART=136,
1535                MATOP_RART_SYMBOLIC=137,
1536                MATOP_RART_NUMERIC=138,
1537                MATOP_SET_BLOCK_SIZES=139,
1538                MATOP_AYPX=140,
1539                MATOP_RESIDUAL=141,
1540                MATOP_FDCOLORING_SETUP=142,
1541                MATOP_MPICONCATENATESEQ=144,
1542                MATOP_DESTROYSUBMATRICES=145
1543              } MatOperation;
1544 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1545 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1546 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1547 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1548 
1549 /*
1550    Codes for matrices stored on disk. By default they are
1551    stored in a universal format. By changing the format with
1552    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1553    be stored in a way natural for the matrix, for example dense matrices
1554    would be stored as dense. Matrices stored this way may only be
1555    read into matrices of the same type.
1556 */
1557 #define MATRIX_BINARY_FORMAT_DENSE -1
1558 
1559 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1560 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1561 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1562 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1563 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1564 
1565 /*S
1566      MatNullSpace - Object that removes a null space from a vector, i.e.
1567          orthogonalizes the vector to a subsapce
1568 
1569    Level: advanced
1570 
1571   Concepts: matrix; linear operator, null space
1572 
1573   Users manual sections:
1574 .   sec_singular
1575 
1576 .seealso:  MatNullSpaceCreate()
1577 S*/
1578 typedef struct _p_MatNullSpace* MatNullSpace;
1579 
1580 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1581 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1582 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1583 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1584 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1585 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1586 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1587 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1588 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1589 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1590 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1591 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1592 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1593 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1594 
1595 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1596 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1597 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1598 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1599 
1600 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1601 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1602 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1603 
1604 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1605 
1606 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1607 
1608 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1609 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1610 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1611 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1612 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1613 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1614 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1615 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1616 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1617 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1618 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1619 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1620 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1621 
1622 /*S
1623     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1624               Jacobian vector products
1625 
1626     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1627 
1628            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1629 
1630     Level: developer
1631 
1632 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1633 S*/
1634 typedef struct _p_MatMFFD* MatMFFD;
1635 
1636 /*J
1637     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1638 
1639    Level: beginner
1640 
1641 .seealso: MatMFFDSetType(), MatMFFDRegister()
1642 J*/
1643 typedef const char* MatMFFDType;
1644 #define MATMFFD_DS  "ds"
1645 #define MATMFFD_WP  "wp"
1646 
1647 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1648 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1649 
1650 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1651 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1652 
1653 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1654 
1655 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1656 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1657 
1658 /*
1659    PETSc interface to MUMPS
1660 */
1661 #ifdef PETSC_HAVE_MUMPS
1662 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1663 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1664 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1666 
1667 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1668 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1669 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1670 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1671 #endif
1672 
1673 /*
1674    PETSc interface to Mkl_Pardiso
1675 */
1676 #ifdef PETSC_HAVE_MKL_PARDISO
1677 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1678 #endif
1679 
1680 /*
1681    PETSc interface to Mkl_CPardiso
1682 */
1683 #ifdef PETSC_HAVE_MKL_CPARDISO
1684 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1685 #endif
1686 
1687 /*
1688    PETSc interface to SUPERLU
1689 */
1690 #ifdef PETSC_HAVE_SUPERLU
1691 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1692 #endif
1693 
1694 /*
1695    PETSc interface to SUPERLU_DIST
1696 */
1697 #ifdef PETSC_HAVE_SUPERLU_DIST
1698 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1699 #endif
1700 
1701 /*
1702    PETSc interface to STRUMPACK
1703 */
1704 #ifdef PETSC_HAVE_STRUMPACK
1705 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1706 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1707 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1708 #endif
1709 
1710 
1711 #ifdef PETSC_HAVE_CUDA
1712 /*E
1713     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1714     matrices.
1715 
1716     Not Collective
1717 
1718 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1719 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1720 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1721 
1722     Level: intermediate
1723 
1724    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1725 
1726 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1727 E*/
1728 
1729 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1730 
1731 /* these will be strings associated with enumerated type defined above */
1732 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1733 
1734 /*E
1735     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1736     matrices whose operation should use a particular storage format.
1737 
1738     Not Collective
1739 
1740 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1741 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1742 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1743 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1744 
1745     Level: intermediate
1746 
1747 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1748 E*/
1749 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1750 
1751 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1752 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1753 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1754 #endif
1755 
1756 #if defined(PETSC_HAVE_CUSP)
1757 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1758 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1759 
1760 /*E
1761     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1762     matrices.
1763 
1764     Not Collective
1765 
1766 +   MAT_CUSP_CSR - Compressed Sparse Row
1767 .   MAT_CUSP_DIA - Diagonal
1768 -   MAT_CUSP_ELL - Ellpack
1769 
1770     Level: intermediate
1771 
1772    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1773 
1774 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1775 E*/
1776 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1777 
1778 /* these will be strings associated with enumerated type defined above */
1779 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1780 
1781 /*E
1782     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1783     matrices whose operation should use a particular storage format.
1784 
1785     Not Collective
1786 
1787 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1788 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1789 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1790 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1791 
1792     Level: intermediate
1793 
1794    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1795 
1796 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1797 E*/
1798 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1799 
1800 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1801 #endif
1802 
1803 #if defined(PETSC_HAVE_VIENNACL)
1804 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1805 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1806 #endif
1807 
1808 /*
1809    PETSc interface to FFTW
1810 */
1811 #if defined(PETSC_HAVE_FFTW)
1812 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1813 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1814 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1815 #endif
1816 
1817 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1818 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1819 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1820 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1821 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1822 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1823 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1824 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1825 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1826 
1827 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1828 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1829 
1830 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1831 
1832 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1833 
1834 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1835 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1836 
1837 #endif
1838