xref: /petsc/include/petscmat.h (revision efa12513287cff49a2b9648ae83199dcbfaad71a)
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 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATDENSE           "dense"
63 #define MATDENSECUDA       "densecuda"
64 #define MATSEQDENSE        "seqdense"
65 #define MATSEQDENSECUDA    "seqdensecuda"
66 #define MATMPIDENSE        "mpidense"
67 #define MATMPIDENSECUDA    "mpidensecuda"
68 #define MATELEMENTAL       "elemental"
69 #define MATSCALAPACK       "scalapack"
70 #define MATBAIJ            "baij"
71 #define MATSEQBAIJ         "seqbaij"
72 #define MATMPIBAIJ         "mpibaij"
73 #define MATMPIADJ          "mpiadj"
74 #define MATSBAIJ           "sbaij"
75 #define MATSEQSBAIJ        "seqsbaij"
76 #define MATMPISBAIJ        "mpisbaij"
77 #define MATMFFD            "mffd"
78 #define MATNORMAL          "normal"
79 #define MATNORMALHERMITIAN "normalh"
80 #define MATLRC             "lrc"
81 #define MATSCATTER         "scatter"
82 #define MATBLOCKMAT        "blockmat"
83 #define MATCOMPOSITE       "composite"
84 #define MATFFT             "fft"
85 #define MATFFTW            "fftw"
86 #define MATSEQCUFFT        "seqcufft"
87 #define MATTRANSPOSEMAT    "transpose"
88 #define MATSCHURCOMPLEMENT "schurcomplement"
89 #define MATPYTHON          "python"
90 #define MATHYPRE           "hypre"
91 #define MATHYPRESTRUCT     "hyprestruct"
92 #define MATHYPRESSTRUCT    "hypresstruct"
93 #define MATSUBMATRIX       "submatrix"
94 #define MATLOCALREF        "localref"
95 #define MATNEST            "nest"
96 #define MATPREALLOCATOR    "preallocator"
97 #define MATSELL            "sell"
98 #define MATSEQSELL         "seqsell"
99 #define MATMPISELL         "mpisell"
100 #define MATDUMMY           "dummy"
101 #define MATLMVM            "lmvm"
102 #define MATLMVMDFP         "lmvmdfp"
103 #define MATLMVMBFGS        "lmvmbfgs"
104 #define MATLMVMSR1         "lmvmsr1"
105 #define MATLMVMBROYDEN     "lmvmbroyden"
106 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
107 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
108 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
109 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
110 #define MATCONSTANTDIAGONAL  "constantdiagonal"
111 #define MATHARA              "hara"
112 
113 /*J
114     MatSolverType - String with the name of a PETSc matrix solver type.
115 
116     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
117 
118    Level: beginner
119 
120    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
121 
122 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
123 J*/
124 typedef const char* MatSolverType;
125 #define MATSOLVERSUPERLU          "superlu"
126 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
127 #define MATSOLVERSTRUMPACK        "strumpack"
128 #define MATSOLVERUMFPACK          "umfpack"
129 #define MATSOLVERCHOLMOD          "cholmod"
130 #define MATSOLVERKLU              "klu"
131 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
132 #define MATSOLVERELEMENTAL        "elemental"
133 #define MATSOLVERSCALAPACK        "scalapack"
134 #define MATSOLVERESSL             "essl"
135 #define MATSOLVERLUSOL            "lusol"
136 #define MATSOLVERMUMPS            "mumps"
137 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
138 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
139 #define MATSOLVERPASTIX           "pastix"
140 #define MATSOLVERMATLAB           "matlab"
141 #define MATSOLVERPETSC            "petsc"
142 #define MATSOLVERBAS              "bas"
143 #define MATSOLVERCUSPARSE         "cusparse"
144 #define MATSOLVERCUDA             "cuda"
145 #define MATSOLVERKOKKOS           "kokkos"
146 
147 /*E
148     MatFactorType - indicates what type of factorization is requested
149 
150     Level: beginner
151 
152    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
153 
154 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
155 E*/
156 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
157 PETSC_EXTERN const char *const MatFactorTypes[];
158 
159 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
160 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
161 PETSC_EXTERN PetscErrorCode MatFactorGetUseOrdering(Mat, PetscBool*);
162 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
163 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
164 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
165 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
166 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
167 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
168 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
169 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
170 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
171 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
172 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
173 
174 /*E
175     MatProductType - indicates what type of matrix product is requested
176 
177     Level: beginner
178 
179 .seealso: MatSolverType, MatProductSetType()
180 E*/
181 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
182 PETSC_EXTERN const char *const MatProductTypes[];
183 
184 /*J
185     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
186 
187    Level: beginner
188 
189 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
190 J*/
191 typedef const char* MatProductAlgorithm;
192 #define MATPRODUCTALGORITHM_DEFAULT "default"
193 
194 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
195 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
196 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
197 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
198 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
199 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
200 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
201 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
202 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
203 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
204 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
205 
206 /* Logging support */
207 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
208 PETSC_EXTERN PetscClassId MAT_CLASSID;
209 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
210 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
211 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
214 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
215 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
216 
217 /*E
218     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
219      are to be reused to store the new matrix values.
220 
221 $  MAT_INITIAL_MATRIX - create a new matrix
222 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
223 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
224 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
225 
226     Level: beginner
227 
228    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
229 
230 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
231 E*/
232 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
233 
234 /*E
235     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
236      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
237 
238     Level: beginner
239 
240 .seealso: MatGetSeqNonzerostructure()
241 E*/
242 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
243 
244 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
245 
246 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
248 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
249 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
250 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
251 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
252 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
253 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
254 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
255 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
256 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
257 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
258 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
259 
260 PETSC_EXTERN PetscFunctionList MatList;
261 PETSC_EXTERN PetscFunctionList MatColoringList;
262 PETSC_EXTERN PetscFunctionList MatPartitioningList;
263 
264 /*E
265     MatStructure - Indicates if two matrices have the same nonzero structure
266 
267     Level: beginner
268 
269    Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
270 
271 .seealso: MatCopy(), MatAXPY()
272 E*/
273 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
274 PETSC_EXTERN const char *const MatStructures[];
275 
276 #if defined PETSC_HAVE_MKL_SPARSE
277 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
278 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
279 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
280 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
281 #endif
282 
283 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
284 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
285 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
286 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
287 
288 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
294 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
295 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
296 
297 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
298 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
299 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
300 
301 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
302 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
303 
304 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
305 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
306 
307 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
308 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
309 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
310 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
311 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
312 
313 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
317 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
318 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
321 
322 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
323 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
324 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
325 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
326 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
327 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
328 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
329 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
330 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
331 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
332 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
333 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
334 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
335 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
336 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
337 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
338 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
339 
340 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
341 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
342 
343 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
344 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
345 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
346 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
347 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
348 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
349 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
350 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
351 
352 #if defined(PETSC_HAVE_HYPRE)
353 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
354 #endif
355 
356 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
357 
358 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
359 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
360 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
361 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
362 
363 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
364 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
365 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
366 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
367 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
368 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
369 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
370 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
371 
372 /* ------------------------------------------------------------*/
373 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
374 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
375 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
376 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
377 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
379 
380 /*S
381      MatStencil - Data structure (C struct) for storing information about a single row or
382         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
383 
384    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).
385    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.
386 
387    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
388 
389    Fortran usage is different, see MatSetValuesStencil() for details.
390 
391    Level: beginner
392 
393 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
394 S*/
395 typedef struct {
396   PetscInt k,j,i,c;
397 } MatStencil;
398 
399 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
400 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
401 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
402 
403 /*E
404     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
405      to continue to add or insert values to it
406 
407     Level: beginner
408 
409 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
410 E*/
411 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
412 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
413 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
414 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
415 
416 
417 
418 /*E
419     MatOption - Options that may be set for a matrix and its behavior or storage
420 
421     Level: beginner
422 
423    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
424    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
425 
426    Developer Notes:
427     Entries that are negative need not be called collectively by all processes.
428 
429 .seealso: MatSetOption()
430 E*/
431 typedef enum {MAT_OPTION_MIN = -3,
432               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
433               MAT_ROW_ORIENTED = -1,
434               MAT_SYMMETRIC = 1,
435               MAT_STRUCTURALLY_SYMMETRIC = 2,
436               MAT_FORCE_DIAGONAL_ENTRIES = 3,
437               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
438               MAT_USE_HASH_TABLE = 5,
439               MAT_KEEP_NONZERO_PATTERN = 6,
440               MAT_IGNORE_ZERO_ENTRIES = 7,
441               MAT_USE_INODES = 8,
442               MAT_HERMITIAN = 9,
443               MAT_SYMMETRY_ETERNAL = 10,
444               MAT_NEW_NONZERO_LOCATION_ERR = 11,
445               MAT_IGNORE_LOWER_TRIANGULAR = 12,
446               MAT_ERROR_LOWER_TRIANGULAR = 13,
447               MAT_GETROW_UPPERTRIANGULAR = 14,
448               MAT_SPD = 15,
449               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
450               MAT_NO_OFF_PROC_ENTRIES = 17,
451               MAT_NEW_NONZERO_LOCATIONS = 18,
452               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
453               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
454               MAT_SUBMAT_SINGLEIS = 21,
455               MAT_STRUCTURE_ONLY = 22,
456               MAT_SORTED_FULL = 23,
457               MAT_OPTION_MAX = 24} MatOption;
458 
459 PETSC_EXTERN const char *const *MatOptions;
460 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
461 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
462 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
463 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
464 
465 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
466 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
467 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
468 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
469 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
470 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
471 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
472 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
473 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
474 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
475 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
476 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
477 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
478 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
479 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
480 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
481 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
482 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
483 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
484 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
487 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
488 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
489 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
490 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
491 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
492 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
493 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
494 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
495 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
496 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
497 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
498 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
499 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
500 
501 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
502 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
503 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
504 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
505 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
506 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
507 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
508 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
509 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
510 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
511 
512 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
513 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
518 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
519 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
523 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
526 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
527 
528 /*E
529     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
530   its numerical values copied over or just its nonzero structure.
531 
532     Level: beginner
533 
534    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
535 
536 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
537 $                               with zeros for the numerical values.
538 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
539 $                               and with the same numerical values.
540 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
541 $                               and does not copy it, using zeros for the numerical values. The parent and
542 $                               child matrices will share their index (i and j) arrays, and you cannot
543 $                               insert new nonzero entries into either matrix.
544 
545 Notes:
546     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
547 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
548 
549 .seealso: MatDuplicate()
550 E*/
551 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
552 
553 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
554 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
555 
556 
557 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
558 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
559 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
560 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
562 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
563 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
564 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
565 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
566 
567 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
568 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
569 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
570 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
571 
572 /*S
573      MatInfo - Context of matrix information, used with MatGetInfo()
574 
575    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
576 
577    Level: intermediate
578 
579 .seealso:  MatGetInfo(), MatInfoType
580 S*/
581 typedef struct {
582   PetscLogDouble block_size;                         /* block size */
583   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
584   PetscLogDouble memory;                             /* memory allocated */
585   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
586   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
587   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
588   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
589 } MatInfo;
590 
591 /*E
592     MatInfoType - Indicates if you want information about the local part of the matrix,
593      the entire parallel matrix or the maximum over all the local parts.
594 
595     Level: beginner
596 
597    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
598 
599 .seealso: MatGetInfo(), MatInfo
600 E*/
601 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
602 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
603 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
604 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
605 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
606 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
607 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
608 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
609 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
610 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
611 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
612 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
613 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
614 
615 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
616 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
617 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
618 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
619 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
621 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
622 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
623 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
624 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
625 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
626 
627 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
628 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
629 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
630 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
631 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
635 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
636 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
637 
638 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
639 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
640 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
641 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
642 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
643 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
644 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
645 
646 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
647 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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);}
648 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
649 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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);}
650 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
651 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
652 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
653 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
654 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
655 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
656 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
657 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
658 
659 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
660 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
661 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
662 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
663 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
664 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
665 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
666 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
667 
668 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
669 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
670 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
671 
672 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
673 
674 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
675 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
676 
677 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
678 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
679 
680 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
681 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
682 
683 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
684 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
685 
686 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
687 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
688 
689 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
690 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
691 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
692 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
693 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
694 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
697 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
698 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
699 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
700 
701 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
702 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
703 
704 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
705 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
706 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
707 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
708 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
709 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
710 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
711 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
712 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
713 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
714 
715 /*MC
716    MatSetValue - Set a single entry into a matrix.
717 
718    Not collective
719 
720    Synopsis:
721      #include <petscmat.h>
722      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
723 
724    Input Parameters:
725 +  m - the matrix
726 .  row - the row location of the entry
727 .  col - the column location of the entry
728 .  value - the value to insert
729 -  mode - either INSERT_VALUES or ADD_VALUES
730 
731    Notes:
732    For efficiency one should use MatSetValues() and set several or many
733    values simultaneously if possible.
734 
735    Level: beginner
736 
737 .seealso: MatSetValues(), MatSetValueLocal()
738 M*/
739 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
740 
741 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
742 
743 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
744 
745 /*MC
746    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
747        row in a matrix providing the data that one can use to correctly preallocate the matrix.
748 
749    Synopsis:
750    #include <petscmat.h>
751    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
752 
753    Collective
754 
755    Input Parameters:
756 +  comm - the communicator that will share the eventually allocated matrix
757 .  nrows - the number of LOCAL rows in the matrix
758 -  ncols - the number of LOCAL columns in the matrix
759 
760    Output Parameters:
761 +  dnz - the array that will be passed to the matrix preallocation routines
762 -  onz - the other array passed to the matrix preallocation routines
763 
764    Level: intermediate
765 
766    Notes:
767     See Users-Manual: ch_performance for more details.
768 
769    Do not malloc or free dnz and onz, that is handled internally by these routines
770 
771    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
772 
773 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
774           MatPreallocateSymmetricSetLocalBlock()
775 M*/
776 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
777 do { \
778   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
779   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
780   __start = 0; __end = __start;                                         \
781   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
782   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
783   do { } while (0)
784 
785 /*MC
786    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
787        inserted using a local number of the rows and columns
788 
789    Synopsis:
790    #include <petscmat.h>
791    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
792 
793    Not Collective
794 
795    Input Parameters:
796 +  map - the row mapping from local numbering to global numbering
797 .  nrows - the number of rows indicated
798 .  rows - the indices of the rows
799 .  cmap - the column mapping from local to global numbering
800 .  ncols - the number of columns in the matrix
801 .  cols - the columns indicated
802 .  dnz - the array that will be passed to the matrix preallocation routines
803 -  onz - the other array passed to the matrix preallocation routines
804 
805    Level: intermediate
806 
807    Notes:
808     See Users-Manual: ch_performance for more details.
809 
810    Do not malloc or free dnz and onz, that is handled internally by these routines
811 
812 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
813           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
814 M*/
815 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
816 do {\
817   PetscInt __l;\
818   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
819   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
820   for (__l=0;__l<nrows;__l++) {\
821     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
822   }\
823  } while (0)
824 
825 /*MC
826    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
827        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
828 
829    Synopsis:
830    #include <petscmat.h>
831    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
832 
833    Not Collective
834 
835    Input Parameters:
836 +  map - the row mapping from local numbering to global numbering
837 .  nrows - the number of rows indicated
838 .  rows - the indices of the rows (these values are mapped to the global values)
839 .  cmap - the column mapping from local to global numbering
840 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
841 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
842 .  dnz - the array that will be passed to the matrix preallocation routines
843 -  onz - the other array passed to the matrix preallocation routines
844 
845    Level: intermediate
846 
847    Notes:
848     See Users-Manual: ch_performance for more details.
849 
850    Do not malloc or free dnz and onz, that is handled internally by these routines
851 
852 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
853           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
854 M*/
855 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
856 do {\
857   PetscInt __l;\
858   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
859   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
860   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
861   for (__l=0;__l<nrows;__l++) {\
862     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
863   }\
864  } while (0)
865 
866 /*MC
867    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
868        inserted using a local number of the rows and columns
869 
870    Synopsis:
871    #include <petscmat.h>
872    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
873 
874    Not Collective
875 
876    Input Parameters:
877 +  map - the row mapping from local numbering to global numbering
878 .  nrows - the number of rows indicated
879 .  rows - the indices of the rows
880 .  cmap - the column mapping from local to global numbering
881 .  ncols - the number of columns in the matrix
882 .  cols - the columns indicated
883 .  dnz - the array that will be passed to the matrix preallocation routines
884 -  onz - the other array passed to the matrix preallocation routines
885 
886    Level: intermediate
887 
888    Notes:
889     See Users-Manual: ch_performance for more details.
890 
891    Do not malloc or free dnz and onz, that is handled internally by these routines
892 
893 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
894           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
895 M*/
896 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
897 do {\
898   PetscInt __l;\
899   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
900   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
901   for (__l=0;__l<nrows;__l++) {\
902     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
903   }\
904 } while (0)
905 
906 /*MC
907    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
908        inserted using a local number of the rows and columns
909 
910    Synopsis:
911    #include <petscmat.h>
912    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
913 
914    Not Collective
915 
916    Input Parameters:
917 +  map - the mapping between local numbering and global numbering
918 .  nrows - the number of rows indicated
919 .  rows - the indices of the rows
920 .  ncols - the number of columns in the matrix
921 .  cols - the columns indicated
922 .  dnz - the array that will be passed to the matrix preallocation routines
923 -  onz - the other array passed to the matrix preallocation routines
924 
925    Level: intermediate
926 
927    Notes:
928     See Users-Manual: ch_performance for more details.
929 
930    Do not malloc or free dnz and onz that is handled internally by these routines
931 
932 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
933           MatPreallocateInitialize(),  MatPreallocateSetLocal()
934 M*/
935 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
936 do {\
937   PetscInt __l;\
938   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
939   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
940   for (__l=0;__l<nrows;__l++) {\
941     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
942   }\
943 } while (0)
944 
945 /*MC
946    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
947        inserted using a local number of the rows and columns
948 
949    Synopsis:
950    #include <petscmat.h>
951    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
952 
953    Not Collective
954 
955    Input Parameters:
956 +  row - the row
957 .  ncols - the number of columns in the matrix
958 -  cols - the columns indicated
959 
960    Output Parameters:
961 +  dnz - the array that will be passed to the matrix preallocation routines
962 -  onz - the other array passed to the matrix preallocation routines
963 
964    Level: intermediate
965 
966    Notes:
967     See Users-Manual: ch_performance for more details.
968 
969    Do not malloc or free dnz and onz that is handled internally by these routines
970 
971    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
972 
973 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
974           MatPreallocateInitialize(), MatPreallocateSetLocal()
975 M*/
976 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
977 do { PetscInt __i; \
978   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);\
979   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);\
980   for (__i=0; __i<nc; __i++) {\
981     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
982     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
983   }\
984 } while (0)
985 
986 /*MC
987    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
988        inserted using a local number of the rows and columns
989 
990    Synopsis:
991    #include <petscmat.h>
992    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
993 
994    Not Collective
995 
996    Input Parameters:
997 +  nrows - the number of rows indicated
998 .  rows - the indices of the rows
999 .  ncols - the number of columns in the matrix
1000 .  cols - the columns indicated
1001 .  dnz - the array that will be passed to the matrix preallocation routines
1002 -  onz - the other array passed to the matrix preallocation routines
1003 
1004    Level: intermediate
1005 
1006    Notes:
1007     See Users-Manual: ch_performance for more details.
1008 
1009    Do not malloc or free dnz and onz that is handled internally by these routines
1010 
1011    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1012 
1013 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1014           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1015 M*/
1016 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1017 do { PetscInt __i; \
1018   for (__i=0; __i<nc; __i++) {\
1019     if (cols[__i] >= __end) onz[row - __rstart]++; \
1020     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1021   }\
1022 } while (0)
1023 
1024 /*MC
1025    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1026 
1027    Synopsis:
1028    #include <petscmat.h>
1029    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1030 
1031    Not Collective
1032 
1033    Input Parameters:
1034 +  A - matrix
1035 .  row - row where values exist (must be local to this process)
1036 .  ncols - number of columns
1037 .  cols - columns with nonzeros
1038 .  dnz - the array that will be passed to the matrix preallocation routines
1039 -  onz - the other array passed to the matrix preallocation routines
1040 
1041    Level: intermediate
1042 
1043    Notes:
1044     See Users-Manual: ch_performance for more details.
1045 
1046    Do not malloc or free dnz and onz that is handled internally by these routines
1047 
1048    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1049 
1050 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1051           MatPreallocateSymmetricSetLocalBlock()
1052 M*/
1053 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while (0)
1054 
1055 
1056 /*MC
1057    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1058        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1059 
1060    Synopsis:
1061    #include <petscmat.h>
1062    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1063 
1064    Collective
1065 
1066    Input Parameters:
1067 +  dnz - the array that was be passed to the matrix preallocation routines
1068 -  onz - the other array passed to the matrix preallocation routines
1069 
1070    Level: intermediate
1071 
1072    Notes:
1073     See Users-Manual: ch_performance for more details.
1074 
1075    Do not malloc or free dnz and onz that is handled internally by these routines
1076 
1077    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1078 
1079 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1080           MatPreallocateSymmetricSetLocalBlock()
1081 M*/
1082 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1083 
1084 /* Routines unique to particular data structures */
1085 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1086 
1087 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1088 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1089 
1090 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1091 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1092 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1093 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1094 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1095 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1096 
1097 #define MAT_SKIP_ALLOCATION -4
1098 
1099 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1100 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1101 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1102 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1103 
1104 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1105 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1106 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1107 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1108 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1109 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1110 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1111 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1112 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1113 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1114 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1115 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1116 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1117 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1118 
1119 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1120 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1121 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1122 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1123 
1124 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1125 
1126 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1127 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1128 
1129 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1130 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1131 /*
1132   These routines are not usually accessed directly, rather solving is
1133   done through the KSP and PC interfaces.
1134 */
1135 
1136 /*J
1137     MatOrderingType - String with the name of a PETSc matrix ordering
1138 
1139    Level: beginner
1140 
1141    Notes:
1142       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1143 
1144 .seealso: MatGetOrdering()
1145 J*/
1146 typedef const char* MatOrderingType;
1147 #define MATORDERINGNATURAL        "natural"
1148 #define MATORDERINGND             "nd"
1149 #define MATORDERING1WD            "1wd"
1150 #define MATORDERINGRCM            "rcm"
1151 #define MATORDERINGQMD            "qmd"
1152 #define MATORDERINGROWLENGTH      "rowlength"
1153 #define MATORDERINGWBM            "wbm"
1154 #define MATORDERINGSPECTRAL       "spectral"
1155 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1156 #define MATORDERINGNATURAL_OR_ND  "natural_or_nd"  /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1157 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1158 
1159 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1160 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1161 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1162 PETSC_EXTERN PetscFunctionList MatOrderingList;
1163 
1164 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1165 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1166 
1167 /*S
1168     MatFactorShiftType - Numeric Shift for factorizations
1169 
1170    Level: beginner
1171 
1172 .seealso: MatGetFactor()
1173 S*/
1174 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1175 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1176 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1177 
1178 /*S
1179     MatFactorError - indicates what type of error was generated in a matrix factorization
1180 
1181     Level: beginner
1182 
1183     Developer Notes:
1184     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1185 
1186 .seealso: MatGetFactor()
1187 S*/
1188 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1189 
1190 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1191 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1192 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1193 
1194 /*S
1195    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1196 
1197    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1198 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1199 
1200    Notes:
1201     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1202 
1203       You can use MatFactorInfoInitialize() to set default values.
1204 
1205    Level: developer
1206 
1207 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1208           MatFactorInfoInitialize()
1209 
1210 S*/
1211 typedef struct {
1212   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1213   PetscReal     usedt;
1214   PetscReal     dt;             /* drop tolerance */
1215   PetscReal     dtcol;          /* tolerance for pivoting */
1216   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1217   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1218   PetscReal     levels;         /* ICC/ILU(levels) */
1219   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1220                                    factorization may be faster if do not pivot */
1221   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1222   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1223   PetscReal     shiftamount;     /* how large the shift is */
1224 } MatFactorInfo;
1225 
1226 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1227 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1228 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1229 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1230 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1231 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1232 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1233 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1234 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1235 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1236 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1237 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1238 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1239 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1240 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1241 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1242 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1243 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1244 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1245 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1246 
1247 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1248 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1249 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1250 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1251 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1252 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1253 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1254 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1255 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1256 
1257 /*E
1258     MatSORType - What type of (S)SOR to perform
1259 
1260     Level: beginner
1261 
1262    May be bitwise ORd together
1263 
1264    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1265 
1266    MatSORType may be bitwise ORd together, so do not change the numbers
1267 
1268 .seealso: MatSOR()
1269 E*/
1270 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1271               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1272               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1273               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1274 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1275 
1276 /*
1277     These routines are for efficiently computing Jacobians via finite differences.
1278 */
1279 
1280 /*S
1281      MatColoring - Object for managing the coloring of matrices.
1282 
1283    Level: beginner
1284 
1285     Notes:
1286        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1287        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1288 
1289        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1290        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1291 
1292 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1293 S*/
1294 typedef struct _p_MatColoring* MatColoring;
1295 
1296 /*J
1297     MatColoringType - String with the name of a PETSc matrix coloring
1298 
1299    Level: beginner
1300 
1301 .seealso: MatColoringSetType(), MatColoring
1302 J*/
1303 typedef const  char*           MatColoringType;
1304 #define MATCOLORINGJP      "jp"
1305 #define MATCOLORINGPOWER   "power"
1306 #define MATCOLORINGNATURAL "natural"
1307 #define MATCOLORINGSL      "sl"
1308 #define MATCOLORINGLF      "lf"
1309 #define MATCOLORINGID      "id"
1310 #define MATCOLORINGGREEDY  "greedy"
1311 
1312 /*E
1313    MatColoringWeightType - Type of weight scheme
1314 
1315     Not Collective
1316 
1317 +   MAT_COLORING_RANDOM  - Random weights
1318 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1319 -   MAT_COLORING_LF      - Last-first weighting.
1320 
1321     Level: intermediate
1322 
1323    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1324 
1325 .seealso: MatColoring, MatColoringCreate()
1326 E*/
1327 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1328 
1329 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1330 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1331 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1332 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1333 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1334 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1335 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1336 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1337 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1338 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1339 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1340 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1341 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1342 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1343 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1344 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1345 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1346 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1347 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1348 
1349 /*S
1350      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1351         and coloring
1352 
1353    Level: beginner
1354 
1355    Notes:
1356       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1357 
1358 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1359 S*/
1360 typedef struct _p_MatFDColoring* MatFDColoring;
1361 
1362 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1363 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1364 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1365 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1366 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1367 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1368 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1369 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1370 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1371 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1372 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1373 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1374 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1375 
1376 /*S
1377      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1378 
1379    Level: beginner
1380 
1381 .seealso:  MatTransposeColoringCreate()
1382 S*/
1383 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1384 
1385 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1386 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1387 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1388 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1389 
1390 /*
1391     These routines are for partitioning matrices: currently used only
1392   for adjacency matrix, MatCreateMPIAdj().
1393 */
1394 
1395 /*S
1396      MatPartitioning - Object for managing the partitioning of a matrix or graph
1397 
1398    Level: beginner
1399 
1400    Notes:
1401      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1402      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1403 
1404    Developers Note:
1405      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1406 
1407 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1408 S*/
1409 typedef struct _p_MatPartitioning* MatPartitioning;
1410 
1411 /*J
1412     MatPartitioningType - String with the name of a PETSc matrix partitioning
1413 
1414    Level: beginner
1415 dm
1416 .seealso: MatPartitioningCreate(), MatPartitioning
1417 J*/
1418 typedef const char* MatPartitioningType;
1419 #define MATPARTITIONINGCURRENT  "current"
1420 #define MATPARTITIONINGAVERAGE   "average"
1421 #define MATPARTITIONINGSQUARE   "square"
1422 #define MATPARTITIONINGPARMETIS "parmetis"
1423 #define MATPARTITIONINGCHACO    "chaco"
1424 #define MATPARTITIONINGPARTY    "party"
1425 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1426 #define MATPARTITIONINGHIERARCH  "hierarch"
1427 
1428 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1435 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1436 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1442 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1444 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1445 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1446 
1447 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1448 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1449 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1450 
1451 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1452 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1453 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1454 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1455 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1456 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1457 
1458 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1467 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1468 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1469 
1470 #define MP_PARTY_OPT "opt"
1471 #define MP_PARTY_LIN "lin"
1472 #define MP_PARTY_SCA "sca"
1473 #define MP_PARTY_RAN "ran"
1474 #define MP_PARTY_GBF "gbf"
1475 #define MP_PARTY_GCF "gcf"
1476 #define MP_PARTY_BUB "bub"
1477 #define MP_PARTY_DEF "def"
1478 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1479 #define MP_PARTY_HELPFUL_SETS "hs"
1480 #define MP_PARTY_KERNIGHAN_LIN "kl"
1481 #define MP_PARTY_NONE "no"
1482 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1483 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1484 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1485 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1486 
1487 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1488 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1489 
1490 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1491 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1492 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1493 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1494 
1495 /*
1496  * hierarchical partitioning
1497  */
1498 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1499 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1500 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1501 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1502 
1503 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1504 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1505 
1506 /*
1507     If you add entries here you must also add them to include/petscmat.h
1508     and src/mat/f90-mod/petscmat.h
1509 */
1510 typedef enum { MATOP_SET_VALUES=0,
1511                MATOP_GET_ROW=1,
1512                MATOP_RESTORE_ROW=2,
1513                MATOP_MULT=3,
1514                MATOP_MULT_ADD=4,
1515                MATOP_MULT_TRANSPOSE=5,
1516                MATOP_MULT_TRANSPOSE_ADD=6,
1517                MATOP_SOLVE=7,
1518                MATOP_SOLVE_ADD=8,
1519                MATOP_SOLVE_TRANSPOSE=9,
1520                MATOP_SOLVE_TRANSPOSE_ADD=10,
1521                MATOP_LUFACTOR=11,
1522                MATOP_CHOLESKYFACTOR=12,
1523                MATOP_SOR=13,
1524                MATOP_TRANSPOSE=14,
1525                MATOP_GETINFO=15,
1526                MATOP_EQUAL=16,
1527                MATOP_GET_DIAGONAL=17,
1528                MATOP_DIAGONAL_SCALE=18,
1529                MATOP_NORM=19,
1530                MATOP_ASSEMBLY_BEGIN=20,
1531                MATOP_ASSEMBLY_END=21,
1532                MATOP_SET_OPTION=22,
1533                MATOP_ZERO_ENTRIES=23,
1534                MATOP_ZERO_ROWS=24,
1535                MATOP_LUFACTOR_SYMBOLIC=25,
1536                MATOP_LUFACTOR_NUMERIC=26,
1537                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1538                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1539                MATOP_SETUP_PREALLOCATION=29,
1540                MATOP_ILUFACTOR_SYMBOLIC=30,
1541                MATOP_ICCFACTOR_SYMBOLIC=31,
1542                MATOP_GET_DIAGONAL_BLOCK=32,
1543                MATOP_FREE_INTER_STRUCT=33,
1544                MATOP_DUPLICATE=34,
1545                MATOP_FORWARD_SOLVE=35,
1546                MATOP_BACKWARD_SOLVE=36,
1547                MATOP_ILUFACTOR=37,
1548                MATOP_ICCFACTOR=38,
1549                MATOP_AXPY=39,
1550                MATOP_CREATE_SUBMATRICES=40,
1551                MATOP_INCREASE_OVERLAP=41,
1552                MATOP_GET_VALUES=42,
1553                MATOP_COPY=43,
1554                MATOP_GET_ROW_MAX=44,
1555                MATOP_SCALE=45,
1556                MATOP_SHIFT=46,
1557                MATOP_DIAGONAL_SET=47,
1558                MATOP_ZERO_ROWS_COLUMNS=48,
1559                MATOP_SET_RANDOM=49,
1560                MATOP_GET_ROW_IJ=50,
1561                MATOP_RESTORE_ROW_IJ=51,
1562                MATOP_GET_COLUMN_IJ=52,
1563                MATOP_RESTORE_COLUMN_IJ=53,
1564                MATOP_FDCOLORING_CREATE=54,
1565                MATOP_COLORING_PATCH=55,
1566                MATOP_SET_UNFACTORED=56,
1567                MATOP_PERMUTE=57,
1568                MATOP_SET_VALUES_BLOCKED=58,
1569                MATOP_CREATE_SUBMATRIX=59,
1570                MATOP_DESTROY=60,
1571                MATOP_VIEW=61,
1572                MATOP_CONVERT_FROM=62,
1573                MATOP_MATMAT_MULT=63,
1574                MATOP_MATMAT_MULT_SYMBOLIC=64,
1575                MATOP_MATMAT_MULT_NUMERIC=65,
1576                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1577                MATOP_SET_VALUES_LOCAL=67,
1578                MATOP_ZERO_ROWS_LOCAL=68,
1579                MATOP_GET_ROW_MAX_ABS=69,
1580                MATOP_GET_ROW_MIN_ABS=70,
1581                MATOP_CONVERT=71,
1582                MATOP_SET_COLORING=72,
1583                /* MATOP_PLACEHOLDER_73=73, */
1584                MATOP_SET_VALUES_ADIFOR=74,
1585                MATOP_FD_COLORING_APPLY=75,
1586                MATOP_SET_FROM_OPTIONS=76,
1587                MATOP_MULT_CONSTRAINED=77,
1588                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1589                MATOP_FIND_ZERO_DIAGONALS=79,
1590                MATOP_MULT_MULTIPLE=80,
1591                MATOP_SOLVE_MULTIPLE=81,
1592                MATOP_GET_INERTIA=82,
1593                MATOP_LOAD=83,
1594                MATOP_IS_SYMMETRIC=84,
1595                MATOP_IS_HERMITIAN=85,
1596                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1597                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1598                MATOP_CREATE_VECS=88,
1599                MATOP_MAT_MULT=89,
1600                MATOP_MAT_MULT_SYMBOLIC=90,
1601                MATOP_MAT_MULT_NUMERIC=91,
1602                MATOP_PTAP=92,
1603                MATOP_PTAP_SYMBOLIC=93,
1604                MATOP_PTAP_NUMERIC=94,
1605                MATOP_MAT_TRANSPOSE_MULT=95,
1606                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1607                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1608                /* MATOP_PLACEHOLDER_98=98, */
1609                MATOP_PRODUCTSETFROMOPTIONS=99,
1610                MATOP_PRODUCTSYMBOLIC=100,
1611                MATOP_PRODUCTNUMERIC=101,
1612                MATOP_CONJUGATE=102,
1613                /* MATOP_PLACEHOLDER_103=103, */
1614                MATOP_SET_VALUES_ROW=104,
1615                MATOP_REAL_PART=105,
1616                MATOP_IMAGINARY_PART=106,
1617                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1618                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1619                MATOP_MAT_SOLVE=109,
1620                MATOP_MAT_SOLVE_TRANSPOSE=110,
1621                MATOP_GET_ROW_MIN=111,
1622                MATOP_GET_COLUMN_VECTOR=112,
1623                MATOP_MISSING_DIAGONAL=113,
1624                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1625                MATOP_CREATE=115,
1626                MATOP_GET_GHOSTS=116,
1627                MATOP_GET_LOCAL_SUB_MATRIX=117,
1628                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1629                MATOP_MULT_DIAGONAL_BLOCK=119,
1630                MATOP_HERMITIAN_TRANSPOSE=120,
1631                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1632                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1633                MATOP_GET_MULTI_PROC_BLOCK=123,
1634                MATOP_FIND_NONZERO_ROWS=124,
1635                MATOP_GET_COLUMN_NORMS=125,
1636                MATOP_INVERT_BLOCK_DIAGONAL=126,
1637                /* MATOP_PLACEHOLDER_127=127, */
1638                MATOP_CREATE_SUB_MATRICES_MPI=128,
1639                MATOP_SET_VALUES_BATCH=129,
1640                MATOP_TRANSPOSE_MAT_MULT=130,
1641                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1642                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1643                MATOP_TRANSPOSE_COLORING_CREAT=133,
1644                MATOP_TRANS_COLORING_APPLY_SPT=134,
1645                MATOP_TRANS_COLORING_APPLY_DEN=135,
1646                MATOP_RART=136,
1647                MATOP_RART_SYMBOLIC=137,
1648                MATOP_RART_NUMERIC=138,
1649                MATOP_SET_BLOCK_SIZES=139,
1650                MATOP_AYPX=140,
1651                MATOP_RESIDUAL=141,
1652                MATOP_FDCOLORING_SETUP=142,
1653                MATOP_MPICONCATENATESEQ=144,
1654                MATOP_DESTROYSUBMATRICES=145,
1655                MATOP_TRANSPOSE_SOLVE=146,
1656                MATOP_GET_VALUES_LOCAL=147
1657              } MatOperation;
1658 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1659 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1660 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1661 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1662 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1663 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1664 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1665 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1666 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1667 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1668 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1669 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1670 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1671 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1672 
1673 /*
1674    Codes for matrices stored on disk. By default they are
1675    stored in a universal format. By changing the format with
1676    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1677    be stored in a way natural for the matrix, for example dense matrices
1678    would be stored as dense. Matrices stored this way may only be
1679    read into matrices of the same type.
1680 */
1681 #define MATRIX_BINARY_FORMAT_DENSE -1
1682 
1683 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1684 
1685 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1686 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1687 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1688 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1689 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1690 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1691 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1692 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1693 
1694 /*S
1695      MatNullSpace - Object that removes a null space from a vector, i.e.
1696          orthogonalizes the vector to a subsapce
1697 
1698    Level: advanced
1699 
1700   Users manual sections:
1701 .   sec_singular
1702 
1703 .seealso:  MatNullSpaceCreate()
1704 S*/
1705 typedef struct _p_MatNullSpace* MatNullSpace;
1706 
1707 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1708 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1709 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1710 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1711 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1712 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1713 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1714 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1715 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1716 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1717 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1718 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1719 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1720 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1721 
1722 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1723 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1724 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1725 
1726 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1727 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1728 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1729 
1730 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1731 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1732 
1733 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1734 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1735 
1736 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1737 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1738 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1739 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1740 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1741 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1742 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1743 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1744 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1745 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1746 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1747 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1748 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1749 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1750 
1751 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1752 
1753 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1754 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1755 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1756 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1757 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1758 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1759 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1760 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1761 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1762 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1763 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1764 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1765 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1766 
1767 /*S
1768     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1769               Jacobian vector products
1770 
1771     Notes:
1772     MATMFFD is a specific MatType which uses the MatMFFD data structure
1773 
1774            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1775 
1776     Level: developer
1777 
1778 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1779 S*/
1780 typedef struct _p_MatMFFD* MatMFFD;
1781 
1782 /*J
1783     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1784 
1785    Level: beginner
1786 
1787 .seealso: MatMFFDSetType(), MatMFFDRegister()
1788 J*/
1789 typedef const char* MatMFFDType;
1790 #define MATMFFD_DS  "ds"
1791 #define MATMFFD_WP  "wp"
1792 
1793 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1794 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1795 
1796 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1797 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1798 
1799 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1800 
1801 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1802 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1803 
1804 #ifdef PETSC_HAVE_HARA
1805 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1806 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1807 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1808 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1809 #endif
1810 
1811 /*
1812    PETSc interface to MUMPS
1813 */
1814 #ifdef PETSC_HAVE_MUMPS
1815 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1816 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1817 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1818 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1819 
1820 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1821 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1822 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1823 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1824 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1825 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1826 #endif
1827 
1828 /*
1829    PETSc interface to Mkl_Pardiso
1830 */
1831 #ifdef PETSC_HAVE_MKL_PARDISO
1832 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1833 #endif
1834 
1835 /*
1836    PETSc interface to Mkl_CPardiso
1837 */
1838 #ifdef PETSC_HAVE_MKL_CPARDISO
1839 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1840 #endif
1841 
1842 /*
1843    PETSc interface to SUPERLU
1844 */
1845 #ifdef PETSC_HAVE_SUPERLU
1846 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1847 #endif
1848 
1849 /*
1850    PETSc interface to SUPERLU_DIST
1851 */
1852 #ifdef PETSC_HAVE_SUPERLU_DIST
1853 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1854 #endif
1855 
1856 /*
1857    PETSc interface to STRUMPACK
1858 */
1859 #ifdef PETSC_HAVE_STRUMPACK
1860 /*E
1861     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1862 
1863     Level: intermediate
1864 E*/
1865 typedef enum {MAT_STRUMPACK_NATURAL=0,
1866               MAT_STRUMPACK_METIS=1,
1867               MAT_STRUMPACK_PARMETIS=2,
1868               MAT_STRUMPACK_SCOTCH=3,
1869               MAT_STRUMPACK_PTSCOTCH=4,
1870               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1871 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1872 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1873 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1874 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1875 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1876 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1877 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1878 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1879 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1880 #endif
1881 
1882 
1883 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1884 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1885 
1886 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1887 
1888 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1889 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1890 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure *);
1891 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure **);
1892 #endif
1893 
1894 #ifdef PETSC_HAVE_CUDA
1895 /*E
1896     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1897     matrices.
1898 
1899     Not Collective
1900 
1901 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1902 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1903 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1904 
1905     Level: intermediate
1906 
1907    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1908 
1909 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1910 E*/
1911 
1912 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1913 
1914 /* these will be strings associated with enumerated type defined above */
1915 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1916 
1917 /*E
1918     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1919     matrices whose operation should use a particular storage format.
1920 
1921     Not Collective
1922 
1923 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1924 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1925 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1926 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1927 
1928     Level: intermediate
1929 
1930 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1931 E*/
1932 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1933 
1934 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1935 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1936 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1937 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1938 PETSC_EXTERN PetscErrorCode MatAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1939 
1940 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1941 
1942 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1943 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1944 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1945 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1946 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1947 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1948 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1949 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1950 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1951 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1952 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1953 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1954 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1955 
1956 #endif
1957 
1958 #if defined(PETSC_HAVE_VIENNACL)
1959 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1960 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1961 #endif
1962 
1963 /*
1964    PETSc interface to FFTW
1965 */
1966 #if defined(PETSC_HAVE_FFTW)
1967 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1968 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1969 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1970 #endif
1971 
1972 #if defined(PETSC_HAVE_SCALAPACK)
1973 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1974 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1975 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1976 #endif
1977 
1978 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1979 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1980 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1981 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1982 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1983 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1984 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1985 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1986 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1987 
1988 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1989 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1990 
1991 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1992 
1993 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1994 
1995 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1996 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1997 #endif
1998