xref: /petsc/include/petscmat.h (revision c0f0dcc350ae2c2af87f5da198da299fa090912b)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJVIENNACL     "aijviennacl"
44 #define MATSEQAIJVIENNACL  "seqaijviennacl"
45 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
46 #define MATAIJPERM         "aijperm"
47 #define MATSEQAIJPERM      "seqaijperm"
48 #define MATMPIAIJPERM      "mpiaijperm"
49 #define MATAIJSELL         "aijsell"
50 #define MATSEQAIJSELL      "seqaijsell"
51 #define MATMPIAIJSELL      "mpiaijsell"
52 #define MATAIJMKL          "aijmkl"
53 #define MATSEQAIJMKL       "seqaijmkl"
54 #define MATMPIAIJMKL       "mpiaijmkl"
55 #define MATBAIJMKL         "baijmkl"
56 #define MATSEQBAIJMKL      "seqbaijmkl"
57 #define MATMPIBAIJMKL      "mpibaijmkl"
58 #define MATSHELL           "shell"
59 #define MATDENSE           "dense"
60 #define MATSEQDENSE        "seqdense"
61 #define MATSEQDENSECUDA    "seqdensecuda"
62 #define MATMPIDENSE        "mpidense"
63 #define MATELEMENTAL       "elemental"
64 #define MATBAIJ            "baij"
65 #define MATSEQBAIJ         "seqbaij"
66 #define MATMPIBAIJ         "mpibaij"
67 #define MATMPIADJ          "mpiadj"
68 #define MATSBAIJ           "sbaij"
69 #define MATSEQSBAIJ        "seqsbaij"
70 #define MATMPISBAIJ        "mpisbaij"
71 #define MATDAAD            "daad"
72 #define MATMFFD            "mffd"
73 #define MATNORMAL          "normal"
74 #define MATNORMALHERMITIAN "normalh"
75 #define MATLRC             "lrc"
76 #define MATSCATTER         "scatter"
77 #define MATBLOCKMAT        "blockmat"
78 #define MATCOMPOSITE       "composite"
79 #define MATFFT             "fft"
80 #define MATFFTW            "fftw"
81 #define MATSEQCUFFT        "seqcufft"
82 #define MATTRANSPOSEMAT    "transpose"
83 #define MATSCHURCOMPLEMENT "schurcomplement"
84 #define MATPYTHON          "python"
85 #define MATHYPRE           "hypre"
86 #define MATHYPRESTRUCT     "hyprestruct"
87 #define MATHYPRESSTRUCT    "hypresstruct"
88 #define MATSUBMATRIX       "submatrix"
89 #define MATLOCALREF        "localref"
90 #define MATNEST            "nest"
91 #define MATPREALLOCATOR    "preallocator"
92 #define MATSELL            "sell"
93 #define MATSEQSELL         "seqsell"
94 #define MATMPISELL         "mpisell"
95 #define MATDUMMY           "dummy"
96 #define MATLMVM            "lmvm"
97 #define MATLMVMDFP         "lmvmdfp"
98 #define MATLMVMBFGS        "lmvmbfgs"
99 #define MATLMVMSR1         "lmvmsr1"
100 #define MATLMVMBRDN        "lmvmbrdn"
101 #define MATLMVMBADBRDN     "lmvmbadbrdn"
102 #define MATLMVMSYMBRDN     "lmvmsymbrdn"
103 #define MATLMVMSYMBADBRDN  "lmvmsymbadbrdn"
104 #define MATLMVMDIAGBRDN    "lmvmdiagbrdn"
105 #define MATCONSTANTDIAGONAL "constantdiagonal"
106 
107 /*J
108     MatSolverType - String with the name of a PETSc matrix solver type.
109 
110     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
111 
112    Level: beginner
113 
114    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
115 
116 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
117 J*/
118 typedef const char* MatSolverType;
119 #define MATSOLVERSUPERLU          "superlu"
120 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
121 #define MATSOLVERSTRUMPACK        "strumpack"
122 #define MATSOLVERUMFPACK          "umfpack"
123 #define MATSOLVERCHOLMOD          "cholmod"
124 #define MATSOLVERKLU              "klu"
125 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
126 #define MATSOLVERELEMENTAL        "elemental"
127 #define MATSOLVERESSL             "essl"
128 #define MATSOLVERLUSOL            "lusol"
129 #define MATSOLVERMUMPS            "mumps"
130 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
131 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
132 #define MATSOLVERPASTIX           "pastix"
133 #define MATSOLVERMATLAB           "matlab"
134 #define MATSOLVERPETSC            "petsc"
135 #define MATSOLVERBAS              "bas"
136 #define MATSOLVERCUSPARSE         "cusparse"
137 #define MATSOLVERCUDA             "cuda"
138 
139 /*E
140     MatFactorType - indicates what type of factorization is requested
141 
142     Level: beginner
143 
144    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
145 
146 .seealso: MatSolverType, MatGetFactor()
147 E*/
148 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
149 PETSC_EXTERN const char *const MatFactorTypes[];
150 
151 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
152 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
153 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
154 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
155 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
156 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
157 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
158 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
159 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*))
160 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
161 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*))
162 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
163 
164 /* Logging support */
165 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
166 PETSC_EXTERN PetscClassId MAT_CLASSID;
167 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
168 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
169 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
170 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
171 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
172 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
173 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
174 
175 /*E
176     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
177      are to be reused to store the new matrix values.
178 
179 $  MAT_INITIAL_MATRIX - create a new matrix
180 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
181 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
182 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
183 
184     Level: beginner
185 
186    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
187 
188 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
189 E*/
190 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
191 
192 /*E
193     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
194      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
195 
196     Level: beginner
197 
198 .seealso: MatGetSeqNonzerostructure()
199 E*/
200 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
201 
202 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
203 
204 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
205 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
206 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
207 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
208 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
209 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
210 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
211 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
212 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
213 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
214 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
215 
216 PETSC_EXTERN PetscFunctionList MatList;
217 PETSC_EXTERN PetscFunctionList MatColoringList;
218 PETSC_EXTERN PetscFunctionList MatPartitioningList;
219 
220 /*E
221     MatStructure - Indicates if two matrices have the same nonzero structure
222 
223     Level: beginner
224 
225    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
226 
227 .seealso: MatCopy(), MatAXPY()
228 E*/
229 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
230 
231 #if defined PETSC_HAVE_MKL_SPARSE
232 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
233 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
236 #endif
237 
238 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
241 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
248 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
249 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
254 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
255 
256 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
261 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
262 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
263 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
264 
265 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
267 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
268 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
269 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
270 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
271 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
272 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
273 
274 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
275 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
276 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
277 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
278 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
279 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
280 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
281 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
282 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
283 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
284 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
285 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
286 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
287 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
288 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
289 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
290 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
291 
292 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
294 
295 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
296 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
297 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
298 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
299 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
300 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
301 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
303 
304 #if defined(PETSC_HAVE_HYPRE)
305 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
306 #endif
307 
308 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
309 
310 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
311 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
312 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
313 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
314 
315 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
316 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
317 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
318 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
319 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
320 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
321 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
322 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
323 
324 /* ------------------------------------------------------------*/
325 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
326 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
327 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
328 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
329 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
330 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
331 
332 /*S
333      MatStencil - Data structure (C struct) for storing information about a single row or
334         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
335 
336    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).
337    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.
338 
339    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
340 
341    Fortran usage is different, see MatSetValuesStencil() for details.
342 
343    Level: beginner
344 
345 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
346 S*/
347 typedef struct {
348   PetscInt k,j,i,c;
349 } MatStencil;
350 
351 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
352 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
353 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
354 
355 /*E
356     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
357      to continue to add or insert values to it
358 
359     Level: beginner
360 
361 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
362 E*/
363 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
364 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
365 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
366 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
367 
368 
369 
370 /*E
371     MatOption - Options that may be set for a matrix and its behavior or storage
372 
373     Level: beginner
374 
375    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
376    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
377 
378    Developer Notes:
379     Entries that are negative need not be called collectively by all processes.
380 
381 .seealso: MatSetOption()
382 E*/
383 typedef enum {MAT_OPTION_MIN = -3,
384               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
385               MAT_ROW_ORIENTED = -1,
386               MAT_SYMMETRIC = 1,
387               MAT_STRUCTURALLY_SYMMETRIC = 2,
388               MAT_NEW_DIAGONALS = 3,
389               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
390               MAT_USE_HASH_TABLE = 5,
391               MAT_KEEP_NONZERO_PATTERN = 6,
392               MAT_IGNORE_ZERO_ENTRIES = 7,
393               MAT_USE_INODES = 8,
394               MAT_HERMITIAN = 9,
395               MAT_SYMMETRY_ETERNAL = 10,
396               MAT_NEW_NONZERO_LOCATION_ERR = 11,
397               MAT_IGNORE_LOWER_TRIANGULAR = 12,
398               MAT_ERROR_LOWER_TRIANGULAR = 13,
399               MAT_GETROW_UPPERTRIANGULAR = 14,
400               MAT_SPD = 15,
401               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
402               MAT_NO_OFF_PROC_ENTRIES = 17,
403               MAT_NEW_NONZERO_LOCATIONS = 18,
404               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
405               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
406               MAT_SUBMAT_SINGLEIS = 21,
407               MAT_STRUCTURE_ONLY = 22,
408               MAT_SORTED_FULL = 23,
409               MAT_OPTION_MAX = 24} MatOption;
410 
411 PETSC_EXTERN const char *const *MatOptions;
412 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
413 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
414 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
415 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
416 
417 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
418 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
419 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
420 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
421 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
422 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
423 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
424 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
425 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
426 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
427 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
428 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
429 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
430 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
431 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
432 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
433 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
434 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
435 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
436 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
437 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
438 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
439 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
440 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
441 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
442 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
443 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
444 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
445 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
446 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
447 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
448 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
449 
450 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
451 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
452 
453 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
454 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
455 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
456 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
457 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
458 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
459 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
460 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
461 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
462 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
463 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
464 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
465 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
466 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
467 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
468 
469 /*E
470     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
471   its numerical values copied over or just its nonzero structure.
472 
473     Level: beginner
474 
475    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
476 
477 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
478 $                               with zeros for the numerical values.
479 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
480 $                               and with the same numerical values.
481 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
482 $                               and does not copy it, using zeros for the numerical values. The parent and
483 $                               child matrices will share their index (i and j) arrays, and you cannot
484 $                               insert new nonzero entries into either matrix.
485 
486 Notes:
487     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
488 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
489 
490 .seealso: MatDuplicate()
491 E*/
492 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
493 
494 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
496 
497 
498 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
499 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
500 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
501 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
502 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
503 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
504 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
505 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
506 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
507 
508 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
509 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
510 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
511 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
512 
513 /*S
514      MatInfo - Context of matrix information, used with MatGetInfo()
515 
516    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
517 
518    Level: intermediate
519 
520 .seealso:  MatGetInfo(), MatInfoType
521 S*/
522 typedef struct {
523   PetscLogDouble block_size;                         /* block size */
524   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
525   PetscLogDouble memory;                             /* memory allocated */
526   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
527   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
528   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
529   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
530 } MatInfo;
531 
532 /*E
533     MatInfoType - Indicates if you want information about the local part of the matrix,
534      the entire parallel matrix or the maximum over all the local parts.
535 
536     Level: beginner
537 
538    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
539 
540 .seealso: MatGetInfo(), MatInfo
541 E*/
542 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
543 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
544 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
545 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
546 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
547 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
548 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
549 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
550 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
551 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
552 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
553 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
554 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
555 
556 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
557 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
558 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
559 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
560 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
561 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
562 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
563 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
564 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
565 
566 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
567 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
568 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
569 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
571 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
572 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
573 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
574 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
575 
576 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
577 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
578 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
579 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
580 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
581 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
582 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
583 
584 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
585 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);}
586 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
587 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);}
588 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
589 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
590 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
591 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);}
592 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
593 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
594 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
595 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
596 
597 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
598 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
599 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
600 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
601 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
602 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
603 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
604 
605 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
606 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
607 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
608 
609 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
610 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
611 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
612 
613 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
614 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
615 
616 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
617 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
618 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
619 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
620 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
621 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
622 
623 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
624 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
625 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
626 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
627 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
628 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
629 
630 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
631 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
632 
633 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
634 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
635 
636 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
637 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
638 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
639 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
640 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
641 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
642 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
643 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
644 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
645 
646 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
647 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
648 
649 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
650 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
651 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
652 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
653 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);}
654 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
655 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
656 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
657 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
658 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
659 
660 /*MC
661    MatSetValue - Set a single entry into a matrix.
662 
663    Not collective
664 
665    Synopsis:
666      #include <petscmat.h>
667      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
668 
669    Input Parameters:
670 +  m - the matrix
671 .  row - the row location of the entry
672 .  col - the column location of the entry
673 .  value - the value to insert
674 -  mode - either INSERT_VALUES or ADD_VALUES
675 
676    Notes:
677    For efficiency one should use MatSetValues() and set several or many
678    values simultaneously if possible.
679 
680    Level: beginner
681 
682 .seealso: MatSetValues(), MatSetValueLocal()
683 M*/
684 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
685 
686 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
687 
688 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
689 
690 /*MC
691    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
692        row in a matrix providing the data that one can use to correctly preallocate the matrix.
693 
694    Synopsis:
695    #include <petscmat.h>
696    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
697 
698    Collective
699 
700    Input Parameters:
701 +  comm - the communicator that will share the eventually allocated matrix
702 .  nrows - the number of LOCAL rows in the matrix
703 -  ncols - the number of LOCAL columns in the matrix
704 
705    Output Parameters:
706 +  dnz - the array that will be passed to the matrix preallocation routines
707 -  onz - the other array passed to the matrix preallocation routines
708 
709    Level: intermediate
710 
711    Notes:
712     See Users-Manual: ch_performance for more details.
713 
714    Do not malloc or free dnz and onz, that is handled internally by these routines
715 
716    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
717 
718 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
719           MatPreallocateSymmetricSetLocalBlock()
720 M*/
721 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
722 do { \
723   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
724   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
725   __start = 0; __end = __start;                                         \
726   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
727   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
728   do { } while(0)
729 
730 /*MC
731    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
732        inserted using a local number of the rows and columns
733 
734    Synopsis:
735    #include <petscmat.h>
736    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
737 
738    Not Collective
739 
740    Input Parameters:
741 +  map - the row mapping from local numbering to global numbering
742 .  nrows - the number of rows indicated
743 .  rows - the indices of the rows
744 .  cmap - the column mapping from local to global numbering
745 .  ncols - the number of columns in the matrix
746 .  cols - the columns indicated
747 .  dnz - the array that will be passed to the matrix preallocation routines
748 -  onz - the other array passed to the matrix preallocation routines
749 
750    Level: intermediate
751 
752    Notes:
753     See Users-Manual: ch_performance for more details.
754 
755    Do not malloc or free dnz and onz, that is handled internally by these routines
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
758           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
759 M*/
760 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
761 do {\
762   PetscInt __l;\
763   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
764   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
765   for (__l=0;__l<nrows;__l++) {\
766     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
767   }\
768  } while (0)
769 
770 /*MC
771    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
772        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
773 
774    Synopsis:
775    #include <petscmat.h>
776    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
777 
778    Not Collective
779 
780    Input Parameters:
781 +  map - the row mapping from local numbering to global numbering
782 .  nrows - the number of rows indicated
783 .  rows - the indices of the rows (these values are mapped to the global values)
784 .  cmap - the column mapping from local to global numbering
785 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
786 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
787 .  dnz - the array that will be passed to the matrix preallocation routines
788 -  onz - the other array passed to the matrix preallocation routines
789 
790    Level: intermediate
791 
792    Notes:
793     See Users-Manual: ch_performance for more details.
794 
795    Do not malloc or free dnz and onz, that is handled internally by these routines
796 
797 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
798           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
799 M*/
800 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
801 do {\
802   PetscInt __l;\
803   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
804   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
805   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
806   for (__l=0;__l<nrows;__l++) {\
807     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
808   }\
809  } while (0)
810 
811 /*MC
812    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
813        inserted using a local number of the rows and columns
814 
815    Synopsis:
816    #include <petscmat.h>
817    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
818 
819    Not Collective
820 
821    Input Parameters:
822 +  map - the row mapping from local numbering to global numbering
823 .  nrows - the number of rows indicated
824 .  rows - the indices of the rows
825 .  cmap - the column mapping from local to global numbering
826 .  ncols - the number of columns in the matrix
827 .  cols - the columns indicated
828 .  dnz - the array that will be passed to the matrix preallocation routines
829 -  onz - the other array passed to the matrix preallocation routines
830 
831    Level: intermediate
832 
833    Notes:
834     See Users-Manual: ch_performance for more details.
835 
836    Do not malloc or free dnz and onz, that is handled internally by these routines
837 
838 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
839           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
840 M*/
841 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
842 do {\
843   PetscInt __l;\
844   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
845   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
846   for (__l=0;__l<nrows;__l++) {\
847     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
848   }\
849 } while (0)
850 
851 /*MC
852    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
853        inserted using a local number of the rows and columns
854 
855    Synopsis:
856    #include <petscmat.h>
857    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
858 
859    Not Collective
860 
861    Input Parameters:
862 +  map - the mapping between local numbering and global numbering
863 .  nrows - the number of rows indicated
864 .  rows - the indices of the rows
865 .  ncols - the number of columns in the matrix
866 .  cols - the columns indicated
867 .  dnz - the array that will be passed to the matrix preallocation routines
868 -  onz - the other array passed to the matrix preallocation routines
869 
870    Level: intermediate
871 
872    Notes:
873     See Users-Manual: ch_performance for more details.
874 
875    Do not malloc or free dnz and onz that is handled internally by these routines
876 
877 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
878           MatPreallocateInitialize(),  MatPreallocateSetLocal()
879 M*/
880 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
881 do {\
882   PetscInt __l;\
883   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
884   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
885   for (__l=0;__l<nrows;__l++) {\
886     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
887   }\
888 } while (0)
889 
890 /*MC
891    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
892        inserted using a local number of the rows and columns
893 
894    Synopsis:
895    #include <petscmat.h>
896    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
897 
898    Not Collective
899 
900    Input Parameters:
901 +  row - the row
902 .  ncols - the number of columns in the matrix
903 -  cols - the columns indicated
904 
905    Output Parameters:
906 +  dnz - the array that will be passed to the matrix preallocation routines
907 -  onz - the other array passed to the matrix preallocation routines
908 
909    Level: intermediate
910 
911    Notes:
912     See Users-Manual: ch_performance for more details.
913 
914    Do not malloc or free dnz and onz that is handled internally by these routines
915 
916    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
917 
918 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
919           MatPreallocateInitialize(), MatPreallocateSetLocal()
920 M*/
921 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
922 do { PetscInt __i; \
923   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);\
924   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);\
925   for (__i=0; __i<nc; __i++) {\
926     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
927     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
928   }\
929 } while (0)
930 
931 /*MC
932    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
933        inserted using a local number of the rows and columns
934 
935    Synopsis:
936    #include <petscmat.h>
937    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
938 
939    Not Collective
940 
941    Input Parameters:
942 +  nrows - the number of rows indicated
943 .  rows - the indices of the rows
944 .  ncols - the number of columns in the matrix
945 .  cols - the columns indicated
946 .  dnz - the array that will be passed to the matrix preallocation routines
947 -  onz - the other array passed to the matrix preallocation routines
948 
949    Level: intermediate
950 
951    Notes:
952     See Users-Manual: ch_performance for more details.
953 
954    Do not malloc or free dnz and onz that is handled internally by these routines
955 
956    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
957 
958 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
959           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
960 M*/
961 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
962 do { PetscInt __i; \
963   for (__i=0; __i<nc; __i++) {\
964     if (cols[__i] >= __end) onz[row - __rstart]++; \
965     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
966   }\
967 } while (0)
968 
969 /*MC
970    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
971 
972    Synopsis:
973    #include <petscmat.h>
974    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
975 
976    Not Collective
977 
978    Input Parameters:
979 +  A - matrix
980 .  row - row where values exist (must be local to this process)
981 .  ncols - number of columns
982 .  cols - columns with nonzeros
983 .  dnz - the array that will be passed to the matrix preallocation routines
984 -  onz - the other array passed to the matrix preallocation routines
985 
986    Level: intermediate
987 
988    Notes:
989     See Users-Manual: ch_performance for more details.
990 
991    Do not malloc or free dnz and onz that is handled internally by these routines
992 
993    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
994 
995 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
996           MatPreallocateSymmetricSetLocalBlock()
997 M*/
998 #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)
999 
1000 
1001 /*MC
1002    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1003        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1004 
1005    Synopsis:
1006    #include <petscmat.h>
1007    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1008 
1009    Collective
1010 
1011    Input Parameters:
1012 +  dnz - the array that was be passed to the matrix preallocation routines
1013 -  onz - the other array passed to the matrix preallocation routines
1014 
1015    Level: intermediate
1016 
1017    Notes:
1018     See Users-Manual: ch_performance for more details.
1019 
1020    Do not malloc or free dnz and onz that is handled internally by these routines
1021 
1022    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1023 
1024 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1025           MatPreallocateSymmetricSetLocalBlock()
1026 M*/
1027 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while(0)
1028 
1029 /* Routines unique to particular data structures */
1030 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1031 
1032 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1033 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1034 
1035 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1036 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1037 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1038 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1039 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1040 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1041 
1042 #define MAT_SKIP_ALLOCATION -4
1043 
1044 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1045 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1046 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1047 
1048 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1049 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1050 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1051 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1052 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1053 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1054 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1055 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1056 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1057 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1058 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1059 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1060 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1061 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1062 
1063 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1064 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1065 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1066 
1067 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1068 
1069 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1070 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1071 
1072 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1073 
1074 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1075 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1076 /*
1077   These routines are not usually accessed directly, rather solving is
1078   done through the KSP and PC interfaces.
1079 */
1080 
1081 /*J
1082     MatOrderingType - String with the name of a PETSc matrix ordering
1083 
1084    Level: beginner
1085 
1086 .seealso: MatGetOrdering()
1087 J*/
1088 typedef const char* MatOrderingType;
1089 #define MATORDERINGNATURAL     "natural"
1090 #define MATORDERINGND          "nd"
1091 #define MATORDERING1WD         "1wd"
1092 #define MATORDERINGRCM         "rcm"
1093 #define MATORDERINGQMD         "qmd"
1094 #define MATORDERINGROWLENGTH   "rowlength"
1095 #define MATORDERINGWBM         "wbm"
1096 #define MATORDERINGSPECTRAL    "spectral"
1097 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1098 
1099 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1100 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1101 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1102 PETSC_EXTERN PetscFunctionList MatOrderingList;
1103 
1104 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1105 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1106 
1107 /*S
1108     MatFactorShiftType - Numeric Shift for factorizations
1109 
1110    Level: beginner
1111 
1112 .seealso: MatGetFactor()
1113 S*/
1114 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1115 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1116 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1117 
1118 /*S
1119     MatFactorError - indicates what type of error was generated in a matrix factorization
1120 
1121     Level: beginner
1122 
1123     Developer Notes:
1124     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1125 
1126 .seealso: MatGetFactor()
1127 S*/
1128 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1129 
1130 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1131 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1132 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1133 
1134 /*S
1135    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1136 
1137    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1138 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1139 
1140    Notes:
1141     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1142 
1143       You can use MatFactorInfoInitialize() to set default values.
1144 
1145    Level: developer
1146 
1147 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1148           MatFactorInfoInitialize()
1149 
1150 S*/
1151 typedef struct {
1152   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1153   PetscReal     usedt;
1154   PetscReal     dt;             /* drop tolerance */
1155   PetscReal     dtcol;          /* tolerance for pivoting */
1156   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1157   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1158   PetscReal     levels;         /* ICC/ILU(levels) */
1159   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1160                                    factorization may be faster if do not pivot */
1161   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1162   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1163   PetscReal     shiftamount;     /* how large the shift is */
1164 } MatFactorInfo;
1165 
1166 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1167 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1168 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1169 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1170 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1171 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1172 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1173 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1174 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1175 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1176 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1177 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1178 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1179 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1180 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1181 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1182 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1183 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1184 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1185 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1186 
1187 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1188 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1189 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1190 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1191 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1192 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1193 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1194 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1195 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1196 
1197 /*E
1198     MatSORType - What type of (S)SOR to perform
1199 
1200     Level: beginner
1201 
1202    May be bitwise ORd together
1203 
1204    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1205 
1206    MatSORType may be bitwise ORd together, so do not change the numbers
1207 
1208 .seealso: MatSOR()
1209 E*/
1210 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1211               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1212               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1213               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1214 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1215 
1216 /*
1217     These routines are for efficiently computing Jacobians via finite differences.
1218 */
1219 
1220 /*S
1221      MatColoring - Object for managing the coloring of matrices.
1222 
1223    Level: beginner
1224 
1225     Notes:
1226        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1227        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1228 
1229        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1230        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1231 
1232 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1233 S*/
1234 typedef struct _p_MatColoring* MatColoring;
1235 
1236 /*J
1237     MatColoringType - String with the name of a PETSc matrix coloring
1238 
1239    Level: beginner
1240 
1241 .seealso: MatColoringSetType(), MatColoring
1242 J*/
1243 typedef const  char*           MatColoringType;
1244 #define MATCOLORINGJP      "jp"
1245 #define MATCOLORINGPOWER   "power"
1246 #define MATCOLORINGNATURAL "natural"
1247 #define MATCOLORINGSL      "sl"
1248 #define MATCOLORINGLF      "lf"
1249 #define MATCOLORINGID      "id"
1250 #define MATCOLORINGGREEDY  "greedy"
1251 
1252 /*E
1253    MatColoringWeightType - Type of weight scheme
1254 
1255     Not Collective
1256 
1257 +   MAT_COLORING_RANDOM  - Random weights
1258 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1259 -   MAT_COLORING_LF      - Last-first weighting.
1260 
1261     Level: intermediate
1262 
1263    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1264 
1265 .seealso: MatColoring, MatColoringCreate()
1266 E*/
1267 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1268 
1269 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1270 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1271 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1272 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1273 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1274 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1275 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1276 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1277 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1278 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1279 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1280 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1281 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1282 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1283 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1284 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1285 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1286 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1287 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1288 
1289 /*S
1290      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1291         and coloring
1292 
1293    Level: beginner
1294 
1295    Notes:
1296       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1297 
1298 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1299 S*/
1300 typedef struct _p_MatFDColoring* MatFDColoring;
1301 
1302 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1303 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1304 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1305 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1306 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1307 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1308 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1309 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1310 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1311 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1312 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1313 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1314 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1315 
1316 /*S
1317      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1318 
1319    Level: beginner
1320 
1321 .seealso:  MatTransposeColoringCreate()
1322 S*/
1323 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1324 
1325 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1326 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1327 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1328 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1329 
1330 /*
1331     These routines are for partitioning matrices: currently used only
1332   for adjacency matrix, MatCreateMPIAdj().
1333 */
1334 
1335 /*S
1336      MatPartitioning - Object for managing the partitioning of a matrix or graph
1337 
1338    Level: beginner
1339 
1340    Notes:
1341      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1342      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1343 
1344    Developers Note:
1345      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1346 
1347 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1348 S*/
1349 typedef struct _p_MatPartitioning* MatPartitioning;
1350 
1351 /*J
1352     MatPartitioningType - String with the name of a PETSc matrix partitioning
1353 
1354    Level: beginner
1355 dm
1356 .seealso: MatPartitioningCreate(), MatPartitioning
1357 J*/
1358 typedef const char* MatPartitioningType;
1359 #define MATPARTITIONINGCURRENT  "current"
1360 #define MATPARTITIONINGAVERAGE   "average"
1361 #define MATPARTITIONINGSQUARE   "square"
1362 #define MATPARTITIONINGPARMETIS "parmetis"
1363 #define MATPARTITIONINGCHACO    "chaco"
1364 #define MATPARTITIONINGPARTY    "party"
1365 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1366 #define MATPARTITIONINGHIERARCH  "hierarch"
1367 
1368 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1369 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1370 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1377 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1378 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1379 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1380 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1384 
1385 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1387 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1388 
1389 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1390 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1391 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1392 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1393 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1394 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1395 
1396 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1397 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1398 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1399 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1400 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1401 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1402 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1403 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1404 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1405 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1406 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1407 
1408 #define MP_PARTY_OPT "opt"
1409 #define MP_PARTY_LIN "lin"
1410 #define MP_PARTY_SCA "sca"
1411 #define MP_PARTY_RAN "ran"
1412 #define MP_PARTY_GBF "gbf"
1413 #define MP_PARTY_GCF "gcf"
1414 #define MP_PARTY_BUB "bub"
1415 #define MP_PARTY_DEF "def"
1416 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1417 #define MP_PARTY_HELPFUL_SETS "hs"
1418 #define MP_PARTY_KERNIGHAN_LIN "kl"
1419 #define MP_PARTY_NONE "no"
1420 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1421 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1422 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1423 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1424 
1425 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1426 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1427 
1428 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1432 
1433 /*
1434  * hierarchical partitioning
1435  */
1436 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1440 
1441 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1442 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1443 
1444 /*
1445     If you add entries here you must also add them to petsc/finclude/petscmat.h
1446 */
1447 typedef enum { MATOP_SET_VALUES=0,
1448                MATOP_GET_ROW=1,
1449                MATOP_RESTORE_ROW=2,
1450                MATOP_MULT=3,
1451                MATOP_MULT_ADD=4,
1452                MATOP_MULT_TRANSPOSE=5,
1453                MATOP_MULT_TRANSPOSE_ADD=6,
1454                MATOP_SOLVE=7,
1455                MATOP_SOLVE_ADD=8,
1456                MATOP_SOLVE_TRANSPOSE=9,
1457                MATOP_SOLVE_TRANSPOSE_ADD=10,
1458                MATOP_LUFACTOR=11,
1459                MATOP_CHOLESKYFACTOR=12,
1460                MATOP_SOR=13,
1461                MATOP_TRANSPOSE=14,
1462                MATOP_GETINFO=15,
1463                MATOP_EQUAL=16,
1464                MATOP_GET_DIAGONAL=17,
1465                MATOP_DIAGONAL_SCALE=18,
1466                MATOP_NORM=19,
1467                MATOP_ASSEMBLY_BEGIN=20,
1468                MATOP_ASSEMBLY_END=21,
1469                MATOP_SET_OPTION=22,
1470                MATOP_ZERO_ENTRIES=23,
1471                MATOP_ZERO_ROWS=24,
1472                MATOP_LUFACTOR_SYMBOLIC=25,
1473                MATOP_LUFACTOR_NUMERIC=26,
1474                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1475                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1476                MATOP_SETUP_PREALLOCATION=29,
1477                MATOP_ILUFACTOR_SYMBOLIC=30,
1478                MATOP_ICCFACTOR_SYMBOLIC=31,
1479                MATOP_GET_DIAGONAL_BLOCK=32,
1480                MATOP_FREE_INTER_STRUCT=33,
1481                MATOP_DUPLICATE=34,
1482                MATOP_FORWARD_SOLVE=35,
1483                MATOP_BACKWARD_SOLVE=36,
1484                MATOP_ILUFACTOR=37,
1485                MATOP_ICCFACTOR=38,
1486                MATOP_AXPY=39,
1487                MATOP_CREATE_SUBMATRICES=40,
1488                MATOP_INCREASE_OVERLAP=41,
1489                MATOP_GET_VALUES=42,
1490                MATOP_COPY=43,
1491                MATOP_GET_ROW_MAX=44,
1492                MATOP_SCALE=45,
1493                MATOP_SHIFT=46,
1494                MATOP_DIAGONAL_SET=47,
1495                MATOP_ZERO_ROWS_COLUMNS=48,
1496                MATOP_SET_RANDOM=49,
1497                MATOP_GET_ROW_IJ=50,
1498                MATOP_RESTORE_ROW_IJ=51,
1499                MATOP_GET_COLUMN_IJ=52,
1500                MATOP_RESTORE_COLUMN_IJ=53,
1501                MATOP_FDCOLORING_CREATE=54,
1502                MATOP_COLORING_PATCH=55,
1503                MATOP_SET_UNFACTORED=56,
1504                MATOP_PERMUTE=57,
1505                MATOP_SET_VALUES_BLOCKED=58,
1506                MATOP_CREATE_SUBMATRIX=59,
1507                MATOP_DESTROY=60,
1508                MATOP_VIEW=61,
1509                MATOP_CONVERT_FROM=62,
1510                MATOP_MATMAT_MULT=63,
1511                MATOP_MATMAT_MULT_SYMBOLIC=64,
1512                MATOP_MATMAT_MULT_NUMERIC=65,
1513                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1514                MATOP_SET_VALUES_LOCAL=67,
1515                MATOP_ZERO_ROWS_LOCAL=68,
1516                MATOP_GET_ROW_MAX_ABS=69,
1517                MATOP_GET_ROW_MIN_ABS=70,
1518                MATOP_CONVERT=71,
1519                MATOP_SET_COLORING=72,
1520                /* MATOP_PLACEHOLDER_73=73, */
1521                MATOP_SET_VALUES_ADIFOR=74,
1522                MATOP_FD_COLORING_APPLY=75,
1523                MATOP_SET_FROM_OPTIONS=76,
1524                MATOP_MULT_CONSTRAINED=77,
1525                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1526                MATOP_FIND_ZERO_DIAGONALS=79,
1527                MATOP_MULT_MULTIPLE=80,
1528                MATOP_SOLVE_MULTIPLE=81,
1529                MATOP_GET_INERTIA=82,
1530                MATOP_LOAD=83,
1531                MATOP_IS_SYMMETRIC=84,
1532                MATOP_IS_HERMITIAN=85,
1533                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1534                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1535                MATOP_CREATE_VECS=88,
1536                MATOP_MAT_MULT=89,
1537                MATOP_MAT_MULT_SYMBOLIC=90,
1538                MATOP_MAT_MULT_NUMERIC=91,
1539                MATOP_PTAP=92,
1540                MATOP_PTAP_SYMBOLIC=93,
1541                MATOP_PTAP_NUMERIC=94,
1542                MATOP_MAT_TRANSPOSE_MULT=95,
1543                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1544                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1545                /* MATOP_PLACEHOLDER_98=98, */
1546                /* MATOP_PLACEHOLDER_99=99, */
1547                /* MATOP_PLACEHOLDER_100=100, */
1548                /* MATOP_PLACEHOLDER_101=101, */
1549                MATOP_CONJUGATE=102,
1550                /* MATOP_PLACEHOLDER_103=103, */
1551                MATOP_SET_VALUES_ROW=104,
1552                MATOP_REAL_PART=105,
1553                MATOP_IMAGINARY_PART=106,
1554                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1555                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1556                MATOP_MAT_SOLVE=109,
1557                MATOP_MAT_SOLVE_TRANSPOSE=110,
1558                MATOP_GET_ROW_MIN=111,
1559                MATOP_GET_COLUMN_VECTOR=112,
1560                MATOP_MISSING_DIAGONAL=113,
1561                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1562                MATOP_CREATE=115,
1563                MATOP_GET_GHOSTS=116,
1564                MATOP_GET_LOCAL_SUB_MATRIX=117,
1565                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1566                MATOP_MULT_DIAGONAL_BLOCK=119,
1567                MATOP_HERMITIAN_TRANSPOSE=120,
1568                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1569                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1570                MATOP_GET_MULTI_PROC_BLOCK=123,
1571                MATOP_FIND_NONZERO_ROWS=124,
1572                MATOP_GET_COLUMN_NORMS=125,
1573                MATOP_INVERT_BLOCK_DIAGONAL=126,
1574                /* MATOP_PLACEHOLDER_127=127, */
1575                MATOP_CREATE_SUB_MATRICES_MPI=128,
1576                MATOP_SET_VALUES_BATCH=129,
1577                MATOP_TRANSPOSE_MAT_MULT=130,
1578                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1579                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1580                MATOP_TRANSPOSE_COLORING_CREAT=133,
1581                MATOP_TRANS_COLORING_APPLY_SPT=134,
1582                MATOP_TRANS_COLORING_APPLY_DEN=135,
1583                MATOP_RART=136,
1584                MATOP_RART_SYMBOLIC=137,
1585                MATOP_RART_NUMERIC=138,
1586                MATOP_SET_BLOCK_SIZES=139,
1587                MATOP_AYPX=140,
1588                MATOP_RESIDUAL=141,
1589                MATOP_FDCOLORING_SETUP=142,
1590                MATOP_MPICONCATENATESEQ=144,
1591                MATOP_DESTROYSUBMATRICES=145
1592              } MatOperation;
1593 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1594 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1595 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1596 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1597 PETSC_EXTERN PetscErrorCode MatFreeIntermediateDataStructures(Mat);
1598 
1599 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1600 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1601 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1602 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1603 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1604 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1605 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1606 
1607 /*
1608    Codes for matrices stored on disk. By default they are
1609    stored in a universal format. By changing the format with
1610    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1611    be stored in a way natural for the matrix, for example dense matrices
1612    would be stored as dense. Matrices stored this way may only be
1613    read into matrices of the same type.
1614 */
1615 #define MATRIX_BINARY_FORMAT_DENSE -1
1616 
1617 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1618 
1619 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1620 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1621 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1622 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1623 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1624 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1625 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1626 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1627 
1628 /*S
1629      MatNullSpace - Object that removes a null space from a vector, i.e.
1630          orthogonalizes the vector to a subsapce
1631 
1632    Level: advanced
1633 
1634   Users manual sections:
1635 .   sec_singular
1636 
1637 .seealso:  MatNullSpaceCreate()
1638 S*/
1639 typedef struct _p_MatNullSpace* MatNullSpace;
1640 
1641 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1642 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1643 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1644 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1645 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1646 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1647 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1648 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1649 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1650 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1651 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1652 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1653 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1654 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1655 
1656 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1657 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1658 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1659 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1660 
1661 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1662 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1663 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1664 
1665 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1666 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1667 
1668 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1669 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1670 
1671 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1672 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1673 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1674 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1675 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1676 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1677 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1678 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1679 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1680 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1681 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1682 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar []);
1683 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar []);
1684 
1685 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1686 
1687 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1688 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1689 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1690 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1691 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1692 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1693 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1694 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1695 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1696 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1697 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1698 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1699 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1700 
1701 /*S
1702     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1703               Jacobian vector products
1704 
1705     Notes:
1706     MATMFFD is a specific MatType which uses the MatMFFD data structure
1707 
1708            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1709 
1710     Level: developer
1711 
1712 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1713 S*/
1714 typedef struct _p_MatMFFD* MatMFFD;
1715 
1716 /*J
1717     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1718 
1719    Level: beginner
1720 
1721 .seealso: MatMFFDSetType(), MatMFFDRegister()
1722 J*/
1723 typedef const char* MatMFFDType;
1724 #define MATMFFD_DS  "ds"
1725 #define MATMFFD_WP  "wp"
1726 
1727 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1728 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1729 
1730 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1731 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1732 
1733 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1734 
1735 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1736 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1737 
1738 /*
1739    PETSc interface to MUMPS
1740 */
1741 #ifdef PETSC_HAVE_MUMPS
1742 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1743 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1744 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1745 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1746 
1747 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1748 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1749 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1750 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1751 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1752 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1753 #endif
1754 
1755 /*
1756    PETSc interface to Mkl_Pardiso
1757 */
1758 #ifdef PETSC_HAVE_MKL_PARDISO
1759 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1760 #endif
1761 
1762 /*
1763    PETSc interface to Mkl_CPardiso
1764 */
1765 #ifdef PETSC_HAVE_MKL_CPARDISO
1766 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1767 #endif
1768 
1769 /*
1770    PETSc interface to SUPERLU
1771 */
1772 #ifdef PETSC_HAVE_SUPERLU
1773 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1774 #endif
1775 
1776 /*
1777    PETSc interface to SUPERLU_DIST
1778 */
1779 #ifdef PETSC_HAVE_SUPERLU_DIST
1780 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1781 #endif
1782 
1783 /*
1784    PETSc interface to STRUMPACK
1785 */
1786 #ifdef PETSC_HAVE_STRUMPACK
1787 /*E
1788     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1789 
1790     Level: intermediate
1791 E*/
1792 typedef enum {MAT_STRUMPACK_NATURAL=0,
1793               MAT_STRUMPACK_METIS=1,
1794               MAT_STRUMPACK_PARMETIS=2,
1795               MAT_STRUMPACK_SCOTCH=3,
1796               MAT_STRUMPACK_PTSCOTCH=4,
1797               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1798 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1799 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1800 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1801 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1802 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1803 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1804 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1805 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1806 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1807 #endif
1808 
1809 
1810 PETSC_EXTERN PetscErrorCode MatPinToCPU(Mat,PetscBool);
1811 
1812 #ifdef PETSC_HAVE_CUDA
1813 /*E
1814     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1815     matrices.
1816 
1817     Not Collective
1818 
1819 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1820 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1821 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1822 
1823     Level: intermediate
1824 
1825    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1826 
1827 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1828 E*/
1829 
1830 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1831 
1832 /* these will be strings associated with enumerated type defined above */
1833 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1834 
1835 /*E
1836     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1837     matrices whose operation should use a particular storage format.
1838 
1839     Not Collective
1840 
1841 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1842 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1843 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1844 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1845 
1846     Level: intermediate
1847 
1848 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1849 E*/
1850 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1851 
1852 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1853 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1854 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1855 #endif
1856 
1857 #if defined(PETSC_HAVE_VIENNACL)
1858 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1859 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1860 #endif
1861 
1862 /*
1863    PETSc interface to FFTW
1864 */
1865 #if defined(PETSC_HAVE_FFTW)
1866 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1867 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1868 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1869 #endif
1870 
1871 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1872 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1873 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1874 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1875 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1876 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1877 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1878 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1879 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1880 
1881 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1882 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1883 
1884 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1885 
1886 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1887 
1888 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1889 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1890 
1891 #endif
1892