xref: /petsc/include/petscmat.h (revision bfc799aa1d1f58449fbf1f447957575ff6c196d9)
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 MATIS              "is"
31 #define MATAIJ             "aij"
32 #define MATSEQAIJ          "seqaij"
33 #define MATMPIAIJ          "mpiaij"
34 #define MATAIJCRL          "aijcrl"
35 #define MATSEQAIJCRL       "seqaijcrl"
36 #define MATMPIAIJCRL       "mpiaijcrl"
37 #define MATAIJCUSPARSE     "aijcusparse"
38 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
39 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
40 #define MATAIJVIENNACL     "aijviennacl"
41 #define MATSEQAIJVIENNACL  "seqaijviennacl"
42 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
43 #define MATAIJPERM         "aijperm"
44 #define MATSEQAIJPERM      "seqaijperm"
45 #define MATMPIAIJPERM      "mpiaijperm"
46 #define MATAIJSELL         "aijsell"
47 #define MATSEQAIJSELL      "seqaijsell"
48 #define MATMPIAIJSELL      "mpiaijsell"
49 #define MATAIJMKL          "aijmkl"
50 #define MATSEQAIJMKL       "seqaijmkl"
51 #define MATMPIAIJMKL       "mpiaijmkl"
52 #define MATBAIJMKL         "baijmkl"
53 #define MATSEQBAIJMKL      "seqbaijmkl"
54 #define MATMPIBAIJMKL      "mpibaijmkl"
55 #define MATSHELL           "shell"
56 #define MATDENSE           "dense"
57 #define MATSEQDENSE        "seqdense"
58 #define MATSEQDENSECUDA    "seqdensecuda"
59 #define MATMPIDENSE        "mpidense"
60 #define MATELEMENTAL       "elemental"
61 #define MATBAIJ            "baij"
62 #define MATSEQBAIJ         "seqbaij"
63 #define MATMPIBAIJ         "mpibaij"
64 #define MATMPIADJ          "mpiadj"
65 #define MATSBAIJ           "sbaij"
66 #define MATSEQSBAIJ        "seqsbaij"
67 #define MATMPISBAIJ        "mpisbaij"
68 #define MATDAAD            "daad"
69 #define MATMFFD            "mffd"
70 #define MATNORMAL          "normal"
71 #define MATNORMALHERMITIAN "normalh"
72 #define MATLRC             "lrc"
73 #define MATSCATTER         "scatter"
74 #define MATBLOCKMAT        "blockmat"
75 #define MATCOMPOSITE       "composite"
76 #define MATFFT             "fft"
77 #define MATFFTW            "fftw"
78 #define MATSEQCUFFT        "seqcufft"
79 #define MATTRANSPOSEMAT    "transpose"
80 #define MATSCHURCOMPLEMENT "schurcomplement"
81 #define MATPYTHON          "python"
82 #define MATHYPRE           "hypre"
83 #define MATHYPRESTRUCT     "hyprestruct"
84 #define MATHYPRESSTRUCT    "hypresstruct"
85 #define MATSUBMATRIX       "submatrix"
86 #define MATLOCALREF        "localref"
87 #define MATNEST            "nest"
88 #define MATPREALLOCATOR    "preallocator"
89 #define MATSELL            "sell"
90 #define MATSEQSELL         "seqsell"
91 #define MATMPISELL         "mpisell"
92 #define MATDUMMY           "dummy"
93 #define MATLMVM            "lmvm"
94 #define MATLMVMDFP         "lmvmdfp"
95 #define MATLMVMBFGS        "lmvmbfgs"
96 #define MATLMVMSR1         "lmvmsr1"
97 #define MATLMVMBRDN        "lmvmbrdn"
98 #define MATLMVMBADBRDN     "lmvmbadbrdn"
99 #define MATLMVMSYMBRDN     "lmvmsymbrdn"
100 #define MATLMVMSYMBADBRDN  "lmvmsymbadbrdn"
101 #define MATLMVMDIAGBRDN    "lmvmdiagbrdn"
102 #define MATCONSTANTDIAGONAL "constantdiagonal"
103 
104 /*J
105     MatSolverType - String with the name of a PETSc matrix solver type.
106 
107     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
108 
109    Level: beginner
110 
111 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
112 J*/
113 typedef const char* MatSolverType;
114 #define MATSOLVERSUPERLU          "superlu"
115 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
116 #define MATSOLVERSTRUMPACK        "strumpack"
117 #define MATSOLVERUMFPACK          "umfpack"
118 #define MATSOLVERCHOLMOD          "cholmod"
119 #define MATSOLVERKLU              "klu"
120 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
121 #define MATSOLVERELEMENTAL        "elemental"
122 #define MATSOLVERESSL             "essl"
123 #define MATSOLVERLUSOL            "lusol"
124 #define MATSOLVERMUMPS            "mumps"
125 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
126 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
127 #define MATSOLVERPASTIX           "pastix"
128 #define MATSOLVERMATLAB           "matlab"
129 #define MATSOLVERPETSC            "petsc"
130 #define MATSOLVERBAS              "bas"
131 #define MATSOLVERCUSPARSE         "cusparse"
132 #define MATSOLVERCUDA             "cuda"
133 
134 /*E
135     MatFactorType - indicates what type of factorization is requested
136 
137     Level: beginner
138 
139    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
140 
141 .seealso: MatSolverType, MatGetFactor()
142 E*/
143 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
144 PETSC_EXTERN const char *const MatFactorTypes[];
145 
146 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
147 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
148 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
149 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
150 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
151 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
152 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
153 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
154 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
155 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
156 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
157 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
158 
159 /* Logging support */
160 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
161 PETSC_EXTERN PetscClassId MAT_CLASSID;
162 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
163 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
164 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
165 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
166 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
167 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
168 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
169 
170 /*E
171     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
172      are to be reused to store the new matrix values.
173 
174 $  MAT_INITIAL_MATRIX - create a new matrix
175 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
176 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
177 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
178 
179     Level: beginner
180 
181    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
182 
183 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
184 E*/
185 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
186 
187 /*E
188     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
189      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
190 
191     Level: beginner
192 
193 .seealso: MatGetSeqNonzerostructure()
194 E*/
195 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
196 
197 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
198 
199 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
200 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
201 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
202 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
203 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
204 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
205 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
206 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
207 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
208 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
209 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
210 
211 PETSC_EXTERN PetscFunctionList MatList;
212 PETSC_EXTERN PetscFunctionList MatColoringList;
213 PETSC_EXTERN PetscFunctionList MatPartitioningList;
214 
215 /*E
216     MatStructure - Indicates if two matrices have the same nonzero structure
217 
218     Level: beginner
219 
220    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
221 
222 .seealso: MatCopy(), MatAXPY()
223 E*/
224 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
225 
226 #if defined PETSC_HAVE_MKL_SPARSE
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 #endif
232 
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
236 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
243 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
244 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
250 
251 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
252 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
253 
254 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
255 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
256 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
257 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
258 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
259 
260 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
267 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
268 
269 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
270 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
271 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
272 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
273 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
274 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
275 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
276 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
277 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
278 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
279 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
280 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
281 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
282 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
283 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
284 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
285 
286 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
288 
289 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
290 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
292 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
294 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
295 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
297 
298 #if defined(PETSC_HAVE_HYPRE)
299 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
300 #endif
301 
302 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
303 
304 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
305 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
306 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
307 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
308 
309 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
310 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
311 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
312 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
313 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
314 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
315 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
316 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
317 
318 /* ------------------------------------------------------------*/
319 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
320 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
321 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
323 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
324 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
325 
326 /*S
327      MatStencil - Data structure (C struct) for storing information about a single row or
328         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
329 
330    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).
331    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.
332 
333    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
334 
335    Fortran usage is different, see MatSetValuesStencil() for details.
336 
337    Level: beginner
338 
339 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
340 S*/
341 typedef struct {
342   PetscInt k,j,i,c;
343 } MatStencil;
344 
345 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
346 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
347 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
348 
349 /*E
350     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
351      to continue to add or insert values to it
352 
353     Level: beginner
354 
355 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
356 E*/
357 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
358 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
359 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
360 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
361 
362 
363 
364 /*E
365     MatOption - Options that may be set for a matrix and its behavior or storage
366 
367     Level: beginner
368 
369    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
370    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
371 
372    Developer Notes:
373     Entries that are negative need not be called collectively by all processes.
374 
375 .seealso: MatSetOption()
376 E*/
377 typedef enum {MAT_OPTION_MIN = -3,
378               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
379               MAT_ROW_ORIENTED = -1,
380               MAT_SYMMETRIC = 1,
381               MAT_STRUCTURALLY_SYMMETRIC = 2,
382               MAT_NEW_DIAGONALS = 3,
383               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
384               MAT_USE_HASH_TABLE = 5,
385               MAT_KEEP_NONZERO_PATTERN = 6,
386               MAT_IGNORE_ZERO_ENTRIES = 7,
387               MAT_USE_INODES = 8,
388               MAT_HERMITIAN = 9,
389               MAT_SYMMETRY_ETERNAL = 10,
390               MAT_NEW_NONZERO_LOCATION_ERR = 11,
391               MAT_IGNORE_LOWER_TRIANGULAR = 12,
392               MAT_ERROR_LOWER_TRIANGULAR = 13,
393               MAT_GETROW_UPPERTRIANGULAR = 14,
394               MAT_SPD = 15,
395               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
396               MAT_NO_OFF_PROC_ENTRIES = 17,
397               MAT_NEW_NONZERO_LOCATIONS = 18,
398               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
399               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
400               MAT_SUBMAT_SINGLEIS = 21,
401               MAT_STRUCTURE_ONLY = 22,
402               MAT_SORTED_FULL = 23,
403               MAT_OPTION_MAX = 24} MatOption;
404 
405 PETSC_EXTERN const char *const *MatOptions;
406 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
407 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
408 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
409 
410 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
411 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
412 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
413 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
414 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
415 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
416 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
417 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
418 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
419 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
420 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
421 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
422 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
423 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
424 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
425 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
426 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
427 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
428 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
429 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
430 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
431 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
432 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
433 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
434 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
435 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
436 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
437 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
438 
439 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
440 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
441 
442 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
443 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
444 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
445 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
446 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
447 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
448 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
449 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
450 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
451 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
452 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
453 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
454 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
455 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
456 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
457 
458 /*E
459     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
460   its numerical values copied over or just its nonzero structure.
461 
462     Level: beginner
463 
464    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
465 
466 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
467 $                               with zeros for the numerical values.
468 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
469 $                               and with the same numerical values.
470 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
471 $                               and does not copy it, using zeros for the numerical values. The parent and
472 $                               child matrices will share their index (i and j) arrays, and you cannot
473 $                               insert new nonzero entries into either matrix.
474 
475 Notes:
476     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
477 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
478 
479 .seealso: MatDuplicate()
480 E*/
481 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
482 
483 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
484 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
485 
486 
487 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
488 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
489 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
490 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
491 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
492 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
493 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
494 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
495 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
496 
497 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
498 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
499 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
500 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
501 
502 /*S
503      MatInfo - Context of matrix information, used with MatGetInfo()
504 
505    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
506 
507    Level: intermediate
508 
509 .seealso:  MatGetInfo(), MatInfoType
510 S*/
511 typedef struct {
512   PetscLogDouble block_size;                         /* block size */
513   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
514   PetscLogDouble memory;                             /* memory allocated */
515   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
516   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
517   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
518   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
519 } MatInfo;
520 
521 /*E
522     MatInfoType - Indicates if you want information about the local part of the matrix,
523      the entire parallel matrix or the maximum over all the local parts.
524 
525     Level: beginner
526 
527    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
528 
529 .seealso: MatGetInfo(), MatInfo
530 E*/
531 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
532 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
533 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
534 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
535 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
536 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
537 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
538 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
539 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
540 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
541 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
542 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
543 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
544 
545 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
546 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
547 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
548 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
549 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
550 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
551 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
552 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
553 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
554 
555 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
556 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
557 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
558 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
564 
565 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
566 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
567 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
568 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
569 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
570 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
571 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
572 
573 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
574 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);}
575 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
576 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);}
577 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
578 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
579 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
580 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);}
581 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
582 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
583 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
584 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
585 
586 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
587 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
588 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
589 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
590 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
591 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
592 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
593 
594 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
595 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
596 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
597 
598 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
599 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
600 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
601 
602 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
603 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
604 
605 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
606 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
607 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
608 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
609 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
610 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
611 
612 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
613 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
614 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
615 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
616 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
617 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
618 
619 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
620 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
621 
622 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
623 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
624 
625 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
626 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
627 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
628 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
629 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
630 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
633 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
634 
635 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
636 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
637 
638 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
639 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
640 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
641 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
642 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);}
643 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
644 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
645 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
646 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
647 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
648 
649 /*MC
650    MatSetValue - Set a single entry into a matrix.
651 
652    Not collective
653 
654    Synopsis:
655      #include <petscmat.h>
656      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
657 
658    Input Parameters:
659 +  m - the matrix
660 .  row - the row location of the entry
661 .  col - the column location of the entry
662 .  value - the value to insert
663 -  mode - either INSERT_VALUES or ADD_VALUES
664 
665    Notes:
666    For efficiency one should use MatSetValues() and set several or many
667    values simultaneously if possible.
668 
669    Level: beginner
670 
671 .seealso: MatSetValues(), MatSetValueLocal()
672 M*/
673 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
674 
675 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
676 
677 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
678 
679 /*MC
680    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
681        row in a matrix providing the data that one can use to correctly preallocate the matrix.
682 
683    Synopsis:
684    #include <petscmat.h>
685    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
686 
687    Collective
688 
689    Input Parameters:
690 +  comm - the communicator that will share the eventually allocated matrix
691 .  nrows - the number of LOCAL rows in the matrix
692 -  ncols - the number of LOCAL columns in the matrix
693 
694    Output Parameters:
695 +  dnz - the array that will be passed to the matrix preallocation routines
696 -  onz - the other array passed to the matrix preallocation routines
697 
698    Level: intermediate
699 
700    Notes:
701     See Users-Manual: ch_performance for more details.
702 
703    Do not malloc or free dnz and onz, that is handled internally by these routines
704 
705    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
706 
707    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
708 
709 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
710           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
711 M*/
712 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
713 do { \
714   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
715   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
716   __start = 0; __end = __start;                                         \
717   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
718   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
719   do { } while(0)
720 
721 /*MC
722    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
723        inserted using a local number of the rows and columns
724 
725    Synopsis:
726    #include <petscmat.h>
727    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
728 
729    Not Collective
730 
731    Input Parameters:
732 +  map - the row mapping from local numbering to global numbering
733 .  nrows - the number of rows indicated
734 .  rows - the indices of the rows
735 .  cmap - the column mapping from local to global numbering
736 .  ncols - the number of columns in the matrix
737 .  cols - the columns indicated
738 .  dnz - the array that will be passed to the matrix preallocation routines
739 -  onz - the other array passed to the matrix preallocation routines
740 
741    Level: intermediate
742 
743    Notes:
744     See Users-Manual: ch_performance for more details.
745 
746    Do not malloc or free dnz and onz, that is handled internally by these routines
747 
748 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
749           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
750 M*/
751 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
752 do {\
753   PetscInt __l;\
754   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
755   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
756   for (__l=0;__l<nrows;__l++) {\
757     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
758   }\
759  } while (0)
760 
761 /*MC
762    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
763        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
764 
765    Synopsis:
766    #include <petscmat.h>
767    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
768 
769    Not Collective
770 
771    Input Parameters:
772 +  map - the row mapping from local numbering to global numbering
773 .  nrows - the number of rows indicated
774 .  rows - the indices of the rows (these values are mapped to the global values)
775 .  cmap - the column mapping from local to global numbering
776 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
777 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
778 .  dnz - the array that will be passed to the matrix preallocation routines
779 -  onz - the other array passed to the matrix preallocation routines
780 
781    Level: intermediate
782 
783    Notes:
784     See Users-Manual: ch_performance for more details.
785 
786    Do not malloc or free dnz and onz, that is handled internally by these routines
787 
788 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
789           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
790 M*/
791 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
792 do {\
793   PetscInt __l;\
794   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
795   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
796   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
797   for (__l=0;__l<nrows;__l++) {\
798     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
799   }\
800  } while (0)
801 
802 /*MC
803    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
804        inserted using a local number of the rows and columns
805 
806    Synopsis:
807    #include <petscmat.h>
808    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
809 
810    Not Collective
811 
812    Input Parameters:
813 +  map - the row mapping from local numbering to global numbering
814 .  nrows - the number of rows indicated
815 .  rows - the indices of the rows
816 .  cmap - the column mapping from local to global numbering
817 .  ncols - the number of columns in the matrix
818 .  cols - the columns indicated
819 .  dnz - the array that will be passed to the matrix preallocation routines
820 -  onz - the other array passed to the matrix preallocation routines
821 
822    Level: intermediate
823 
824    Notes:
825     See Users-Manual: ch_performance for more details.
826 
827    Do not malloc or free dnz and onz, that is handled internally by these routines
828 
829 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
830           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
831 M*/
832 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
833 do {\
834   PetscInt __l;\
835   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
836   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
837   for (__l=0;__l<nrows;__l++) {\
838     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
839   }\
840 } while (0)
841 
842 /*MC
843    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
844        inserted using a local number of the rows and columns
845 
846    Synopsis:
847    #include <petscmat.h>
848    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
849 
850    Not Collective
851 
852    Input Parameters:
853 +  map - the mapping between local numbering and global numbering
854 .  nrows - the number of rows indicated
855 .  rows - the indices of the rows
856 .  ncols - the number of columns in the matrix
857 .  cols - the columns indicated
858 .  dnz - the array that will be passed to the matrix preallocation routines
859 -  onz - the other array passed to the matrix preallocation routines
860 
861    Level: intermediate
862 
863    Notes:
864     See Users-Manual: ch_performance for more details.
865 
866    Do not malloc or free dnz and onz that is handled internally by these routines
867 
868 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
869           MatPreallocateInitialize(),  MatPreallocateSetLocal()
870 M*/
871 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
872 do {\
873   PetscInt __l;\
874   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
875   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
876   for (__l=0;__l<nrows;__l++) {\
877     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
878   }\
879 } while (0)
880 
881 /*MC
882    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
883        inserted using a local number of the rows and columns
884 
885    Synopsis:
886    #include <petscmat.h>
887    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
888 
889    Not Collective
890 
891    Input Parameters:
892 +  row - the row
893 .  ncols - the number of columns in the matrix
894 -  cols - the columns indicated
895 
896    Output Parameters:
897 +  dnz - the array that will be passed to the matrix preallocation routines
898 -  onz - the other array passed to the matrix preallocation routines
899 
900    Level: intermediate
901 
902    Notes:
903     See Users-Manual: ch_performance for more details.
904 
905    Do not malloc or free dnz and onz that is handled internally by these routines
906 
907    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
908 
909 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
910           MatPreallocateInitialize(), MatPreallocateSetLocal()
911 M*/
912 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
913 do { PetscInt __i; \
914   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);\
915   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);\
916   for (__i=0; __i<nc; __i++) {\
917     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
918     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
919   }\
920 } while (0)
921 
922 /*MC
923    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
924        inserted using a local number of the rows and columns
925 
926    Synopsis:
927    #include <petscmat.h>
928    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
929 
930    Not Collective
931 
932    Input Parameters:
933 +  nrows - the number of rows indicated
934 .  rows - the indices of the rows
935 .  ncols - the number of columns in the matrix
936 .  cols - the columns indicated
937 .  dnz - the array that will be passed to the matrix preallocation routines
938 -  onz - the other array passed to the matrix preallocation routines
939 
940    Level: intermediate
941 
942    Notes:
943     See Users-Manual: ch_performance for more details.
944 
945    Do not malloc or free dnz and onz that is handled internally by these routines
946 
947    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
948 
949 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
950           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
951 M*/
952 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
953 do { PetscInt __i; \
954   for (__i=0; __i<nc; __i++) {\
955     if (cols[__i] >= __end) onz[row - __rstart]++; \
956     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
957   }\
958 } while (0)
959 
960 /*MC
961    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
962 
963    Synopsis:
964    #include <petscmat.h>
965    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
966 
967    Not Collective
968 
969    Input Parameters:
970 +  A - matrix
971 .  row - row where values exist (must be local to this process)
972 .  ncols - number of columns
973 .  cols - columns with nonzeros
974 .  dnz - the array that will be passed to the matrix preallocation routines
975 -  onz - the other array passed to the matrix preallocation routines
976 
977    Level: intermediate
978 
979    Notes:
980     See Users-Manual: ch_performance for more details.
981 
982    Do not malloc or free dnz and onz that is handled internally by these routines
983 
984    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
985 
986 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
987           MatPreallocateSymmetricSetLocalBlock()
988 M*/
989 #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)
990 
991 
992 /*MC
993    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
994        row in a matrix providing the data that one can use to correctly preallocate the matrix.
995 
996    Synopsis:
997    #include <petscmat.h>
998    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
999 
1000    Collective
1001 
1002    Input Parameters:
1003 +  dnz - the array that was be passed to the matrix preallocation routines
1004 -  onz - the other array passed to the matrix preallocation routines
1005 
1006    Level: intermediate
1007 
1008    Notes:
1009     See Users-Manual: ch_performance for more details.
1010 
1011    Do not malloc or free dnz and onz that is handled internally by these routines
1012 
1013    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1014 
1015 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1016           MatPreallocateSymmetricSetLocalBlock()
1017 M*/
1018 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while(0)
1019 
1020 /* Routines unique to particular data structures */
1021 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1022 
1023 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1024 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1025 
1026 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1027 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1028 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1029 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1030 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1031 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1032 
1033 #define MAT_SKIP_ALLOCATION -4
1034 
1035 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1036 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1037 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1038 
1039 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1040 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1041 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1042 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1043 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1044 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1045 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1046 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1047 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1048 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1049 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1050 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1051 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1052 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1053 
1054 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1055 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1056 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1057 
1058 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1059 
1060 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1061 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1062 
1063 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1064 
1065 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1066 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1067 /*
1068   These routines are not usually accessed directly, rather solving is
1069   done through the KSP and PC interfaces.
1070 */
1071 
1072 /*J
1073     MatOrderingType - String with the name of a PETSc matrix ordering
1074 
1075    Level: beginner
1076 
1077 .seealso: MatGetOrdering()
1078 J*/
1079 typedef const char* MatOrderingType;
1080 #define MATORDERINGNATURAL     "natural"
1081 #define MATORDERINGND          "nd"
1082 #define MATORDERING1WD         "1wd"
1083 #define MATORDERINGRCM         "rcm"
1084 #define MATORDERINGQMD         "qmd"
1085 #define MATORDERINGROWLENGTH   "rowlength"
1086 #define MATORDERINGWBM         "wbm"
1087 #define MATORDERINGSPECTRAL    "spectral"
1088 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1089 
1090 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1091 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1092 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1093 PETSC_EXTERN PetscFunctionList MatOrderingList;
1094 
1095 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1096 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1097 
1098 /*S
1099     MatFactorShiftType - Numeric Shift.
1100 
1101    Level: beginner
1102 
1103 S*/
1104 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1105 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1106 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1107 
1108 /*S
1109     MatFactorError - indicates what type of error in matrix factor
1110 
1111     Level: beginner
1112 
1113     Developer Notes:
1114     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1115 
1116 .seealso: MatGetFactor()
1117 S*/
1118 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1119 
1120 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1121 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1122 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1123 
1124 /*S
1125    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1126 
1127    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1128 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1129 
1130    Notes:
1131     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1132 
1133       You can use MatFactorInfoInitialize() to set default values.
1134 
1135    Level: developer
1136 
1137 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1138           MatFactorInfoInitialize()
1139 
1140 S*/
1141 typedef struct {
1142   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1143   PetscReal     usedt;
1144   PetscReal     dt;             /* drop tolerance */
1145   PetscReal     dtcol;          /* tolerance for pivoting */
1146   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1147   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1148   PetscReal     levels;         /* ICC/ILU(levels) */
1149   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1150                                    factorization may be faster if do not pivot */
1151   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1152   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1153   PetscReal     shiftamount;     /* how large the shift is */
1154 } MatFactorInfo;
1155 
1156 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1157 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1158 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1159 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1160 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1161 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1162 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1163 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1164 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1165 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1166 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1168 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1169 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1170 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1171 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1172 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1173 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1174 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1175 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1176 
1177 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1178 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1179 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1180 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1181 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1182 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1183 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1184 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1185 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1186 
1187 /*E
1188     MatSORType - What type of (S)SOR to perform
1189 
1190     Level: beginner
1191 
1192    May be bitwise ORd together
1193 
1194    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1195 
1196    MatSORType may be bitwise ORd together, so do not change the numbers
1197 
1198 .seealso: MatSOR()
1199 E*/
1200 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1201               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1202               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1203               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1204 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1205 
1206 /*
1207     These routines are for efficiently computing Jacobians via finite differences.
1208 */
1209 
1210 /*S
1211      MatColoring - Object for managing the coloring of matrices.
1212 
1213    Level: beginner
1214 
1215 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1216 S*/
1217 typedef struct _p_MatColoring* MatColoring;
1218 /*J
1219     MatColoringType - String with the name of a PETSc matrix coloring
1220 
1221    Level: beginner
1222 
1223 .seealso: MatColoringSetType(), MatColoring
1224 J*/
1225 
1226 typedef const  char*           MatColoringType;
1227 #define MATCOLORINGJP      "jp"
1228 #define MATCOLORINGPOWER   "power"
1229 #define MATCOLORINGNATURAL "natural"
1230 #define MATCOLORINGSL      "sl"
1231 #define MATCOLORINGLF      "lf"
1232 #define MATCOLORINGID      "id"
1233 #define MATCOLORINGGREEDY  "greedy"
1234 
1235 /*E
1236    MatColoringWeightType - Type of weight scheme
1237 
1238     Not Collective
1239 
1240 +   MAT_COLORING_RANDOM  - Random weights
1241 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1242 -   MAT_COLORING_LF      - Last-first weighting.
1243 
1244     Level: intermediate
1245 
1246    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1247 E*/
1248 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1249 
1250 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1251 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1252 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1253 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1254 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1255 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1256 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1257 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1258 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1259 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1260 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1261 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1262 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1263 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1264 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1265 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1266 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1267 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1268 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1269 
1270 /*S
1271      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1272         and coloring
1273 
1274    Level: beginner
1275 
1276 .seealso:  MatFDColoringCreate()
1277 S*/
1278 typedef struct _p_MatFDColoring* MatFDColoring;
1279 
1280 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1281 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1282 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1283 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1284 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1285 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1286 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1287 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1288 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1289 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1290 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1291 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1292 
1293 
1294 /*S
1295      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1296 
1297    Level: beginner
1298 
1299 .seealso:  MatTransposeColoringCreate()
1300 S*/
1301 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1302 
1303 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1304 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1305 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1306 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1307 
1308 /*
1309     These routines are for partitioning matrices: currently used only
1310   for adjacency matrix, MatCreateMPIAdj().
1311 */
1312 
1313 /*S
1314      MatPartitioning - Object for managing the partitioning of a matrix or graph
1315 
1316    Level: beginner
1317 
1318 .seealso:  MatPartitioningCreate(), MatPartitioningType
1319 S*/
1320 typedef struct _p_MatPartitioning* MatPartitioning;
1321 
1322 /*J
1323     MatPartitioningType - String with the name of a PETSc matrix partitioning
1324 
1325    Level: beginner
1326 dm
1327 .seealso: MatPartitioningCreate(), MatPartitioning
1328 J*/
1329 typedef const char* MatPartitioningType;
1330 #define MATPARTITIONINGCURRENT  "current"
1331 #define MATPARTITIONINGAVERAGE   "average"
1332 #define MATPARTITIONINGSQUARE   "square"
1333 #define MATPARTITIONINGPARMETIS "parmetis"
1334 #define MATPARTITIONINGCHACO    "chaco"
1335 #define MATPARTITIONINGPARTY    "party"
1336 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1337 #define MATPARTITIONINGHIERARCH  "hierarch"
1338 
1339 
1340 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1351 
1352 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1353 
1354 
1355 
1356 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1357 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1358 
1359 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1361 
1362 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1363 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1364 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1365 
1366 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1367 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1368 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1369 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1370 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1371 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1372 
1373 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1378 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1379 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1380 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1384 
1385 #define MP_PARTY_OPT "opt"
1386 #define MP_PARTY_LIN "lin"
1387 #define MP_PARTY_SCA "sca"
1388 #define MP_PARTY_RAN "ran"
1389 #define MP_PARTY_GBF "gbf"
1390 #define MP_PARTY_GCF "gcf"
1391 #define MP_PARTY_BUB "bub"
1392 #define MP_PARTY_DEF "def"
1393 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1394 #define MP_PARTY_HELPFUL_SETS "hs"
1395 #define MP_PARTY_KERNIGHAN_LIN "kl"
1396 #define MP_PARTY_NONE "no"
1397 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1398 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1399 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1400 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1401 
1402 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1403 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1404 
1405 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1406 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1407 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1408 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1409 
1410 /*
1411  * hierarchical partitioning
1412  */
1413 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1414 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1415 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1416 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1417 
1418 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1419 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1420 
1421 /*
1422     If you add entries here you must also add them to petsc/finclude/petscmat.h
1423 */
1424 typedef enum { MATOP_SET_VALUES=0,
1425                MATOP_GET_ROW=1,
1426                MATOP_RESTORE_ROW=2,
1427                MATOP_MULT=3,
1428                MATOP_MULT_ADD=4,
1429                MATOP_MULT_TRANSPOSE=5,
1430                MATOP_MULT_TRANSPOSE_ADD=6,
1431                MATOP_SOLVE=7,
1432                MATOP_SOLVE_ADD=8,
1433                MATOP_SOLVE_TRANSPOSE=9,
1434                MATOP_SOLVE_TRANSPOSE_ADD=10,
1435                MATOP_LUFACTOR=11,
1436                MATOP_CHOLESKYFACTOR=12,
1437                MATOP_SOR=13,
1438                MATOP_TRANSPOSE=14,
1439                MATOP_GETINFO=15,
1440                MATOP_EQUAL=16,
1441                MATOP_GET_DIAGONAL=17,
1442                MATOP_DIAGONAL_SCALE=18,
1443                MATOP_NORM=19,
1444                MATOP_ASSEMBLY_BEGIN=20,
1445                MATOP_ASSEMBLY_END=21,
1446                MATOP_SET_OPTION=22,
1447                MATOP_ZERO_ENTRIES=23,
1448                MATOP_ZERO_ROWS=24,
1449                MATOP_LUFACTOR_SYMBOLIC=25,
1450                MATOP_LUFACTOR_NUMERIC=26,
1451                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1452                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1453                MATOP_SETUP_PREALLOCATION=29,
1454                MATOP_ILUFACTOR_SYMBOLIC=30,
1455                MATOP_ICCFACTOR_SYMBOLIC=31,
1456                MATOP_GET_DIAGONAL_BLOCK=32,
1457                MATOP_FREE_INTER_STRUCT=33,
1458                MATOP_DUPLICATE=34,
1459                MATOP_FORWARD_SOLVE=35,
1460                MATOP_BACKWARD_SOLVE=36,
1461                MATOP_ILUFACTOR=37,
1462                MATOP_ICCFACTOR=38,
1463                MATOP_AXPY=39,
1464                MATOP_CREATE_SUBMATRICES=40,
1465                MATOP_INCREASE_OVERLAP=41,
1466                MATOP_GET_VALUES=42,
1467                MATOP_COPY=43,
1468                MATOP_GET_ROW_MAX=44,
1469                MATOP_SCALE=45,
1470                MATOP_SHIFT=46,
1471                MATOP_DIAGONAL_SET=47,
1472                MATOP_ZERO_ROWS_COLUMNS=48,
1473                MATOP_SET_RANDOM=49,
1474                MATOP_GET_ROW_IJ=50,
1475                MATOP_RESTORE_ROW_IJ=51,
1476                MATOP_GET_COLUMN_IJ=52,
1477                MATOP_RESTORE_COLUMN_IJ=53,
1478                MATOP_FDCOLORING_CREATE=54,
1479                MATOP_COLORING_PATCH=55,
1480                MATOP_SET_UNFACTORED=56,
1481                MATOP_PERMUTE=57,
1482                MATOP_SET_VALUES_BLOCKED=58,
1483                MATOP_CREATE_SUBMATRIX=59,
1484                MATOP_DESTROY=60,
1485                MATOP_VIEW=61,
1486                MATOP_CONVERT_FROM=62,
1487                MATOP_MATMAT_MULT=63,
1488                MATOP_MATMAT_MULT_SYMBOLIC=64,
1489                MATOP_MATMAT_MULT_NUMERIC=65,
1490                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1491                MATOP_SET_VALUES_LOCAL=67,
1492                MATOP_ZERO_ROWS_LOCAL=68,
1493                MATOP_GET_ROW_MAX_ABS=69,
1494                MATOP_GET_ROW_MIN_ABS=70,
1495                MATOP_CONVERT=71,
1496                MATOP_SET_COLORING=72,
1497                /* MATOP_PLACEHOLDER_73=73, */
1498                MATOP_SET_VALUES_ADIFOR=74,
1499                MATOP_FD_COLORING_APPLY=75,
1500                MATOP_SET_FROM_OPTIONS=76,
1501                MATOP_MULT_CONSTRAINED=77,
1502                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1503                MATOP_FIND_ZERO_DIAGONALS=79,
1504                MATOP_MULT_MULTIPLE=80,
1505                MATOP_SOLVE_MULTIPLE=81,
1506                MATOP_GET_INERTIA=82,
1507                MATOP_LOAD=83,
1508                MATOP_IS_SYMMETRIC=84,
1509                MATOP_IS_HERMITIAN=85,
1510                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1511                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1512                MATOP_CREATE_VECS=88,
1513                MATOP_MAT_MULT=89,
1514                MATOP_MAT_MULT_SYMBOLIC=90,
1515                MATOP_MAT_MULT_NUMERIC=91,
1516                MATOP_PTAP=92,
1517                MATOP_PTAP_SYMBOLIC=93,
1518                MATOP_PTAP_NUMERIC=94,
1519                MATOP_MAT_TRANSPOSE_MULT=95,
1520                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1521                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1522                /* MATOP_PLACEHOLDER_98=98, */
1523                /* MATOP_PLACEHOLDER_99=99, */
1524                /* MATOP_PLACEHOLDER_100=100, */
1525                /* MATOP_PLACEHOLDER_101=101, */
1526                MATOP_CONJUGATE=102,
1527                /* MATOP_PLACEHOLDER_103=103, */
1528                MATOP_SET_VALUES_ROW=104,
1529                MATOP_REAL_PART=105,
1530                MATOP_IMAGINARY_PART=106,
1531                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1532                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1533                MATOP_MAT_SOLVE=109,
1534                MATOP_MAT_SOLVE_TRANSPOSE=110,
1535                MATOP_GET_ROW_MIN=111,
1536                MATOP_GET_COLUMN_VECTOR=112,
1537                MATOP_MISSING_DIAGONAL=113,
1538                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1539                MATOP_CREATE=115,
1540                MATOP_GET_GHOSTS=116,
1541                MATOP_GET_LOCAL_SUB_MATRIX=117,
1542                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1543                MATOP_MULT_DIAGONAL_BLOCK=119,
1544                MATOP_HERMITIAN_TRANSPOSE=120,
1545                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1546                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1547                MATOP_GET_MULTI_PROC_BLOCK=123,
1548                MATOP_FIND_NONZERO_ROWS=124,
1549                MATOP_GET_COLUMN_NORMS=125,
1550                MATOP_INVERT_BLOCK_DIAGONAL=126,
1551                /* MATOP_PLACEHOLDER_127=127, */
1552                MATOP_CREATE_SUB_MATRICES_MPI=128,
1553                MATOP_SET_VALUES_BATCH=129,
1554                MATOP_TRANSPOSE_MAT_MULT=130,
1555                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1556                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1557                MATOP_TRANSPOSE_COLORING_CREAT=133,
1558                MATOP_TRANS_COLORING_APPLY_SPT=134,
1559                MATOP_TRANS_COLORING_APPLY_DEN=135,
1560                MATOP_RART=136,
1561                MATOP_RART_SYMBOLIC=137,
1562                MATOP_RART_NUMERIC=138,
1563                MATOP_SET_BLOCK_SIZES=139,
1564                MATOP_AYPX=140,
1565                MATOP_RESIDUAL=141,
1566                MATOP_FDCOLORING_SETUP=142,
1567                MATOP_MPICONCATENATESEQ=144,
1568                MATOP_DESTROYSUBMATRICES=145
1569              } MatOperation;
1570 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1571 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1572 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1573 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1574 PETSC_EXTERN PetscErrorCode MatFreeIntermediateDataStructures(Mat);
1575 
1576 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1577 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1578 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1579 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1580 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1581 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1582 
1583 /*
1584    Codes for matrices stored on disk. By default they are
1585    stored in a universal format. By changing the format with
1586    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1587    be stored in a way natural for the matrix, for example dense matrices
1588    would be stored as dense. Matrices stored this way may only be
1589    read into matrices of the same type.
1590 */
1591 #define MATRIX_BINARY_FORMAT_DENSE -1
1592 
1593 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1594 
1595 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1596 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1597 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1598 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1599 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1600 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1601 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1602 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1603 
1604 /*S
1605      MatNullSpace - Object that removes a null space from a vector, i.e.
1606          orthogonalizes the vector to a subsapce
1607 
1608    Level: advanced
1609 
1610   Users manual sections:
1611 .   sec_singular
1612 
1613 .seealso:  MatNullSpaceCreate()
1614 S*/
1615 typedef struct _p_MatNullSpace* MatNullSpace;
1616 
1617 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1618 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1619 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1620 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1621 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1622 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1623 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1624 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1625 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1626 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1627 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1628 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1629 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1630 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1631 
1632 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1633 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1634 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1635 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1636 
1637 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1638 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1639 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1640 
1641 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1642 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1643 
1644 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1645 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1646 
1647 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1648 
1649 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1650 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1651 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1652 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1653 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1654 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1655 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1656 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1657 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1658 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1659 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1660 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1661 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1662 
1663 /*S
1664     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1665               Jacobian vector products
1666 
1667     Notes:
1668     MATMFFD is a specific MatType which uses the MatMFFD data structure
1669 
1670            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1671 
1672     Level: developer
1673 
1674 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1675 S*/
1676 typedef struct _p_MatMFFD* MatMFFD;
1677 
1678 /*J
1679     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1680 
1681    Level: beginner
1682 
1683 .seealso: MatMFFDSetType(), MatMFFDRegister()
1684 J*/
1685 typedef const char* MatMFFDType;
1686 #define MATMFFD_DS  "ds"
1687 #define MATMFFD_WP  "wp"
1688 
1689 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1690 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1691 
1692 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1693 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1694 
1695 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1696 
1697 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1698 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1699 
1700 /*
1701    PETSc interface to MUMPS
1702 */
1703 #ifdef PETSC_HAVE_MUMPS
1704 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1705 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1706 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1707 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1708 
1709 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1710 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1711 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1712 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1713 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1714 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1715 #endif
1716 
1717 /*
1718    PETSc interface to Mkl_Pardiso
1719 */
1720 #ifdef PETSC_HAVE_MKL_PARDISO
1721 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1722 #endif
1723 
1724 /*
1725    PETSc interface to Mkl_CPardiso
1726 */
1727 #ifdef PETSC_HAVE_MKL_CPARDISO
1728 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1729 #endif
1730 
1731 /*
1732    PETSc interface to SUPERLU
1733 */
1734 #ifdef PETSC_HAVE_SUPERLU
1735 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1736 #endif
1737 
1738 /*
1739    PETSc interface to SUPERLU_DIST
1740 */
1741 #ifdef PETSC_HAVE_SUPERLU_DIST
1742 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1743 #endif
1744 
1745 /*
1746    PETSc interface to STRUMPACK
1747 */
1748 #ifdef PETSC_HAVE_STRUMPACK
1749 /*E
1750     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1751 
1752     Level: intermediate
1753 E*/
1754 typedef enum {MAT_STRUMPACK_NATURAL=0,
1755               MAT_STRUMPACK_METIS=1,
1756               MAT_STRUMPACK_PARMETIS=2,
1757               MAT_STRUMPACK_SCOTCH=3,
1758               MAT_STRUMPACK_PTSCOTCH=4,
1759               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1760 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1761 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1762 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1763 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1764 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1765 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1766 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1767 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1768 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1769 #endif
1770 
1771 
1772 PETSC_EXTERN PetscErrorCode MatPinToCPU(Mat,PetscBool);
1773 
1774 #ifdef PETSC_HAVE_CUDA
1775 /*E
1776     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1777     matrices.
1778 
1779     Not Collective
1780 
1781 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1782 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1783 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1784 
1785     Level: intermediate
1786 
1787    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1788 
1789 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1790 E*/
1791 
1792 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1793 
1794 /* these will be strings associated with enumerated type defined above */
1795 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1796 
1797 /*E
1798     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1799     matrices whose operation should use a particular storage format.
1800 
1801     Not Collective
1802 
1803 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1804 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1805 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1806 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1807 
1808     Level: intermediate
1809 
1810 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1811 E*/
1812 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1813 
1814 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1815 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1816 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1817 #endif
1818 
1819 #if defined(PETSC_HAVE_VIENNACL)
1820 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1821 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1822 #endif
1823 
1824 /*
1825    PETSc interface to FFTW
1826 */
1827 #if defined(PETSC_HAVE_FFTW)
1828 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1829 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1830 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1831 #endif
1832 
1833 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1834 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1835 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1836 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1837 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1838 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1839 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1840 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1841 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1842 
1843 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1844 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1845 
1846 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1847 
1848 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1849 
1850 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1851 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1852 
1853 #endif
1854