xref: /petsc/include/petscmat.h (revision 7fa4b49e24e8a36e9b59f579ee7a702082a00f84)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATDENSE           "dense"
63 #define MATDENSECUDA       "densecuda"
64 #define MATSEQDENSE        "seqdense"
65 #define MATSEQDENSECUDA    "seqdensecuda"
66 #define MATMPIDENSE        "mpidense"
67 #define MATMPIDENSECUDA    "mpidensecuda"
68 #define MATELEMENTAL       "elemental"
69 #define MATSCALAPACK       "scalapack"
70 #define MATBAIJ            "baij"
71 #define MATSEQBAIJ         "seqbaij"
72 #define MATMPIBAIJ         "mpibaij"
73 #define MATMPIADJ          "mpiadj"
74 #define MATSBAIJ           "sbaij"
75 #define MATSEQSBAIJ        "seqsbaij"
76 #define MATMPISBAIJ        "mpisbaij"
77 #define MATMFFD            "mffd"
78 #define MATNORMAL          "normal"
79 #define MATNORMALHERMITIAN "normalh"
80 #define MATLRC             "lrc"
81 #define MATSCATTER         "scatter"
82 #define MATBLOCKMAT        "blockmat"
83 #define MATCOMPOSITE       "composite"
84 #define MATFFT             "fft"
85 #define MATFFTW            "fftw"
86 #define MATSEQCUFFT        "seqcufft"
87 #define MATTRANSPOSEMAT    "transpose"
88 #define MATSCHURCOMPLEMENT "schurcomplement"
89 #define MATPYTHON          "python"
90 #define MATHYPRE           "hypre"
91 #define MATHYPRESTRUCT     "hyprestruct"
92 #define MATHYPRESSTRUCT    "hypresstruct"
93 #define MATSUBMATRIX       "submatrix"
94 #define MATLOCALREF        "localref"
95 #define MATNEST            "nest"
96 #define MATPREALLOCATOR    "preallocator"
97 #define MATSELL            "sell"
98 #define MATSEQSELL         "seqsell"
99 #define MATMPISELL         "mpisell"
100 #define MATDUMMY           "dummy"
101 #define MATLMVM            "lmvm"
102 #define MATLMVMDFP         "lmvmdfp"
103 #define MATLMVMBFGS        "lmvmbfgs"
104 #define MATLMVMSR1         "lmvmsr1"
105 #define MATLMVMBROYDEN     "lmvmbroyden"
106 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
107 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
108 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
109 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
110 #define MATCONSTANTDIAGONAL  "constantdiagonal"
111 #define MATHARA              "hara"
112 
113 /*J
114     MatSolverType - String with the name of a PETSc matrix solver type.
115 
116     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
117 
118    Level: beginner
119 
120    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU form the SuiteSparse package for which you can use --download-suitesparse
121 
122 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
123 J*/
124 typedef const char* MatSolverType;
125 #define MATSOLVERSUPERLU          "superlu"
126 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
127 #define MATSOLVERSTRUMPACK        "strumpack"
128 #define MATSOLVERUMFPACK          "umfpack"
129 #define MATSOLVERCHOLMOD          "cholmod"
130 #define MATSOLVERKLU              "klu"
131 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
132 #define MATSOLVERELEMENTAL        "elemental"
133 #define MATSOLVERSCALAPACK        "scalapack"
134 #define MATSOLVERESSL             "essl"
135 #define MATSOLVERLUSOL            "lusol"
136 #define MATSOLVERMUMPS            "mumps"
137 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
138 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
139 #define MATSOLVERPASTIX           "pastix"
140 #define MATSOLVERMATLAB           "matlab"
141 #define MATSOLVERPETSC            "petsc"
142 #define MATSOLVERBAS              "bas"
143 #define MATSOLVERCUSPARSE         "cusparse"
144 #define MATSOLVERCUDA             "cuda"
145 
146 /*E
147     MatFactorType - indicates what type of factorization is requested
148 
149     Level: beginner
150 
151    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
152 
153 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
154 E*/
155 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
156 PETSC_EXTERN const char *const MatFactorTypes[];
157 
158 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
159 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
160 PETSC_EXTERN PetscErrorCode MatFactorGetUseOrdering(Mat, PetscBool*);
161 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
162 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
163 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
164 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
165 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
166 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
167 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
168 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
169 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
170 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
171 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
172 
173 /*E
174     MatProductType - indicates what type of matrix product is requested
175 
176     Level: beginner
177 
178 .seealso: MatSolverType, MatProductSetType()
179 E*/
180 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
181 PETSC_EXTERN const char *const MatProductTypes[];
182 
183 /*J
184     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
185 
186    Level: beginner
187 
188 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
189 J*/
190 typedef const char* MatProductAlgorithm;
191 #define MATPRODUCTALGORITHM_DEFAULT "default"
192 
193 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
194 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
195 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
196 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
197 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
198 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
199 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
200 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
201 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
202 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
203 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
204 
205 /* Logging support */
206 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
207 PETSC_EXTERN PetscClassId MAT_CLASSID;
208 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
209 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
210 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
211 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
214 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
215 
216 /*E
217     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
218      are to be reused to store the new matrix values.
219 
220 $  MAT_INITIAL_MATRIX - create a new matrix
221 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
222 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
223 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
224 
225     Level: beginner
226 
227    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
228 
229 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
230 E*/
231 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
232 
233 /*E
234     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
235      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
236 
237     Level: beginner
238 
239 .seealso: MatGetSeqNonzerostructure()
240 E*/
241 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
242 
243 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
244 
245 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
246 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
247 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
248 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
249 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
250 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
251 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
252 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
253 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
254 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
255 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
256 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
257 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
258 
259 PETSC_EXTERN PetscFunctionList MatList;
260 PETSC_EXTERN PetscFunctionList MatColoringList;
261 PETSC_EXTERN PetscFunctionList MatPartitioningList;
262 
263 /*E
264     MatStructure - Indicates if two matrices have the same nonzero structure
265 
266     Level: beginner
267 
268    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
269 
270 .seealso: MatCopy(), MatAXPY()
271 E*/
272 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
273 
274 #if defined PETSC_HAVE_MKL_SPARSE
275 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
276 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
277 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
278 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
279 #endif
280 
281 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
283 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
284 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
285 
286 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
288 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
289 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
292 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
294 
295 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
297 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
298 
299 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
300 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
301 
302 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
303 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
304 
305 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
306 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
307 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
308 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
309 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
310 
311 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
312 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
313 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
314 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
315 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
318 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
319 
320 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
321 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
322 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
323 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
324 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
325 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
326 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
327 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
328 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
329 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
330 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
331 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
332 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
333 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
334 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
335 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
336 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
337 
338 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
340 
341 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
342 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
343 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
344 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
345 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
346 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
347 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
348 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
349 
350 #if defined(PETSC_HAVE_HYPRE)
351 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
352 #endif
353 
354 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
355 
356 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
357 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
358 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
359 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
360 
361 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
362 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
363 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
364 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
365 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
366 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
367 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
368 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
369 
370 /* ------------------------------------------------------------*/
371 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
372 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
373 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
374 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
375 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
376 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
377 
378 /*S
379      MatStencil - Data structure (C struct) for storing information about a single row or
380         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
381 
382    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).
383    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.
384 
385    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
386 
387    Fortran usage is different, see MatSetValuesStencil() for details.
388 
389    Level: beginner
390 
391 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
392 S*/
393 typedef struct {
394   PetscInt k,j,i,c;
395 } MatStencil;
396 
397 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
398 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
399 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
400 
401 /*E
402     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
403      to continue to add or insert values to it
404 
405     Level: beginner
406 
407 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
408 E*/
409 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
410 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
411 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
412 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
413 
414 
415 
416 /*E
417     MatOption - Options that may be set for a matrix and its behavior or storage
418 
419     Level: beginner
420 
421    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
422    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
423 
424    Developer Notes:
425     Entries that are negative need not be called collectively by all processes.
426 
427 .seealso: MatSetOption()
428 E*/
429 typedef enum {MAT_OPTION_MIN = -3,
430               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
431               MAT_ROW_ORIENTED = -1,
432               MAT_SYMMETRIC = 1,
433               MAT_STRUCTURALLY_SYMMETRIC = 2,
434               MAT_NEW_DIAGONALS = 3,
435               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
436               MAT_USE_HASH_TABLE = 5,
437               MAT_KEEP_NONZERO_PATTERN = 6,
438               MAT_IGNORE_ZERO_ENTRIES = 7,
439               MAT_USE_INODES = 8,
440               MAT_HERMITIAN = 9,
441               MAT_SYMMETRY_ETERNAL = 10,
442               MAT_NEW_NONZERO_LOCATION_ERR = 11,
443               MAT_IGNORE_LOWER_TRIANGULAR = 12,
444               MAT_ERROR_LOWER_TRIANGULAR = 13,
445               MAT_GETROW_UPPERTRIANGULAR = 14,
446               MAT_SPD = 15,
447               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
448               MAT_NO_OFF_PROC_ENTRIES = 17,
449               MAT_NEW_NONZERO_LOCATIONS = 18,
450               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
451               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
452               MAT_SUBMAT_SINGLEIS = 21,
453               MAT_STRUCTURE_ONLY = 22,
454               MAT_SORTED_FULL = 23,
455               MAT_OPTION_MAX = 24} MatOption;
456 
457 PETSC_EXTERN const char *const *MatOptions;
458 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
459 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
460 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
461 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
462 
463 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
464 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
465 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
467 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
468 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
469 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
470 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
471 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
472 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
473 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
474 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
475 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
476 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
477 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
478 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
479 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
480 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
481 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
482 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
483 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
484 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
485 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
486 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
487 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
490 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
491 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
492 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
493 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
494 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
495 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
496 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
497 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
498 
499 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
500 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
501 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
502 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
503 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
504 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
505 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
506 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
507 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
508 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
509 
510 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
511 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
512 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
513 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
516 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
517 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
522 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
523 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
524 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
525 
526 /*E
527     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
528   its numerical values copied over or just its nonzero structure.
529 
530     Level: beginner
531 
532    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
533 
534 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
535 $                               with zeros for the numerical values.
536 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
537 $                               and with the same numerical values.
538 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
539 $                               and does not copy it, using zeros for the numerical values. The parent and
540 $                               child matrices will share their index (i and j) arrays, and you cannot
541 $                               insert new nonzero entries into either matrix.
542 
543 Notes:
544     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
545 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
546 
547 .seealso: MatDuplicate()
548 E*/
549 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
550 
551 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
552 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
553 
554 
555 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
556 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
557 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
558 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
559 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
560 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
562 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
563 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
564 
565 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
566 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
567 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
568 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
569 
570 /*S
571      MatInfo - Context of matrix information, used with MatGetInfo()
572 
573    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
574 
575    Level: intermediate
576 
577 .seealso:  MatGetInfo(), MatInfoType
578 S*/
579 typedef struct {
580   PetscLogDouble block_size;                         /* block size */
581   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
582   PetscLogDouble memory;                             /* memory allocated */
583   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
584   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
585   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
586   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
587 } MatInfo;
588 
589 /*E
590     MatInfoType - Indicates if you want information about the local part of the matrix,
591      the entire parallel matrix or the maximum over all the local parts.
592 
593     Level: beginner
594 
595    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
596 
597 .seealso: MatGetInfo(), MatInfo
598 E*/
599 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
600 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
601 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
602 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
603 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
604 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
605 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
606 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
607 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
608 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
609 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
610 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
611 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
612 
613 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
614 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
615 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
616 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
617 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
618 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
619 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
621 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
622 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
623 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
624 
625 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
626 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
627 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
628 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
629 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
630 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
635 
636 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
637 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
638 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
639 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
640 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
641 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
642 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
643 
644 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
645 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);}
646 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
647 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);}
648 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
649 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
650 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
651 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);}
652 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
653 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
654 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
655 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
656 
657 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
658 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
659 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
660 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
661 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
662 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
663 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
664 
665 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
666 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
667 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
668 
669 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
670 
671 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
672 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
673 
674 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
675 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
676 
677 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
678 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
679 
680 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
681 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
682 
683 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
684 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
685 
686 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
687 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
688 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
689 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
690 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
691 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
692 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
693 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
694 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
695 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
696 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
697 
698 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
699 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
700 
701 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
702 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
703 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
704 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
705 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);}
706 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
707 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
708 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
709 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
710 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
711 
712 /*MC
713    MatSetValue - Set a single entry into a matrix.
714 
715    Not collective
716 
717    Synopsis:
718      #include <petscmat.h>
719      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
720 
721    Input Parameters:
722 +  m - the matrix
723 .  row - the row location of the entry
724 .  col - the column location of the entry
725 .  value - the value to insert
726 -  mode - either INSERT_VALUES or ADD_VALUES
727 
728    Notes:
729    For efficiency one should use MatSetValues() and set several or many
730    values simultaneously if possible.
731 
732    Level: beginner
733 
734 .seealso: MatSetValues(), MatSetValueLocal()
735 M*/
736 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
737 
738 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
739 
740 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
741 
742 /*MC
743    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
744        row in a matrix providing the data that one can use to correctly preallocate the matrix.
745 
746    Synopsis:
747    #include <petscmat.h>
748    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
749 
750    Collective
751 
752    Input Parameters:
753 +  comm - the communicator that will share the eventually allocated matrix
754 .  nrows - the number of LOCAL rows in the matrix
755 -  ncols - the number of LOCAL columns in the matrix
756 
757    Output Parameters:
758 +  dnz - the array that will be passed to the matrix preallocation routines
759 -  onz - the other array passed to the matrix preallocation routines
760 
761    Level: intermediate
762 
763    Notes:
764     See Users-Manual: ch_performance for more details.
765 
766    Do not malloc or free dnz and onz, that is handled internally by these routines
767 
768    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
769 
770 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
771           MatPreallocateSymmetricSetLocalBlock()
772 M*/
773 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
774 do { \
775   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
776   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
777   __start = 0; __end = __start;                                         \
778   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
779   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
780   do { } while (0)
781 
782 /*MC
783    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
784        inserted using a local number of the rows and columns
785 
786    Synopsis:
787    #include <petscmat.h>
788    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
789 
790    Not Collective
791 
792    Input Parameters:
793 +  map - the row mapping from local numbering to global numbering
794 .  nrows - the number of rows indicated
795 .  rows - the indices of the rows
796 .  cmap - the column mapping from local to global numbering
797 .  ncols - the number of columns in the matrix
798 .  cols - the columns indicated
799 .  dnz - the array that will be passed to the matrix preallocation routines
800 -  onz - the other array passed to the matrix preallocation routines
801 
802    Level: intermediate
803 
804    Notes:
805     See Users-Manual: ch_performance for more details.
806 
807    Do not malloc or free dnz and onz, that is handled internally by these routines
808 
809 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
810           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
811 M*/
812 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
813 do {\
814   PetscInt __l;\
815   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
816   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
817   for (__l=0;__l<nrows;__l++) {\
818     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
819   }\
820  } while (0)
821 
822 /*MC
823    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
824        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
825 
826    Synopsis:
827    #include <petscmat.h>
828    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
829 
830    Not Collective
831 
832    Input Parameters:
833 +  map - the row mapping from local numbering to global numbering
834 .  nrows - the number of rows indicated
835 .  rows - the indices of the rows (these values are mapped to the global values)
836 .  cmap - the column mapping from local to global numbering
837 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
838 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
839 .  dnz - the array that will be passed to the matrix preallocation routines
840 -  onz - the other array passed to the matrix preallocation routines
841 
842    Level: intermediate
843 
844    Notes:
845     See Users-Manual: ch_performance for more details.
846 
847    Do not malloc or free dnz and onz, that is handled internally by these routines
848 
849 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
850           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
851 M*/
852 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
853 do {\
854   PetscInt __l;\
855   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
856   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
857   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
858   for (__l=0;__l<nrows;__l++) {\
859     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
860   }\
861  } while (0)
862 
863 /*MC
864    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
865        inserted using a local number of the rows and columns
866 
867    Synopsis:
868    #include <petscmat.h>
869    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
870 
871    Not Collective
872 
873    Input Parameters:
874 +  map - the row mapping from local numbering to global numbering
875 .  nrows - the number of rows indicated
876 .  rows - the indices of the rows
877 .  cmap - the column mapping from local to global numbering
878 .  ncols - the number of columns in the matrix
879 .  cols - the columns indicated
880 .  dnz - the array that will be passed to the matrix preallocation routines
881 -  onz - the other array passed to the matrix preallocation routines
882 
883    Level: intermediate
884 
885    Notes:
886     See Users-Manual: ch_performance for more details.
887 
888    Do not malloc or free dnz and onz, that is handled internally by these routines
889 
890 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
891           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
892 M*/
893 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
894 do {\
895   PetscInt __l;\
896   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
897   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
898   for (__l=0;__l<nrows;__l++) {\
899     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
900   }\
901 } while (0)
902 
903 /*MC
904    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
905        inserted using a local number of the rows and columns
906 
907    Synopsis:
908    #include <petscmat.h>
909    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
910 
911    Not Collective
912 
913    Input Parameters:
914 +  map - the mapping between local numbering and global numbering
915 .  nrows - the number of rows indicated
916 .  rows - the indices of the rows
917 .  ncols - the number of columns in the matrix
918 .  cols - the columns indicated
919 .  dnz - the array that will be passed to the matrix preallocation routines
920 -  onz - the other array passed to the matrix preallocation routines
921 
922    Level: intermediate
923 
924    Notes:
925     See Users-Manual: ch_performance for more details.
926 
927    Do not malloc or free dnz and onz that is handled internally by these routines
928 
929 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
930           MatPreallocateInitialize(),  MatPreallocateSetLocal()
931 M*/
932 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
933 do {\
934   PetscInt __l;\
935   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
936   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
937   for (__l=0;__l<nrows;__l++) {\
938     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
939   }\
940 } while (0)
941 
942 /*MC
943    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
944        inserted using a local number of the rows and columns
945 
946    Synopsis:
947    #include <petscmat.h>
948    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
949 
950    Not Collective
951 
952    Input Parameters:
953 +  row - the row
954 .  ncols - the number of columns in the matrix
955 -  cols - the columns indicated
956 
957    Output Parameters:
958 +  dnz - the array that will be passed to the matrix preallocation routines
959 -  onz - the other array passed to the matrix preallocation routines
960 
961    Level: intermediate
962 
963    Notes:
964     See Users-Manual: ch_performance for more details.
965 
966    Do not malloc or free dnz and onz that is handled internally by these routines
967 
968    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
969 
970 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
971           MatPreallocateInitialize(), MatPreallocateSetLocal()
972 M*/
973 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
974 do { PetscInt __i; \
975   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);\
976   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);\
977   for (__i=0; __i<nc; __i++) {\
978     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
979     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
980   }\
981 } while (0)
982 
983 /*MC
984    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
985        inserted using a local number of the rows and columns
986 
987    Synopsis:
988    #include <petscmat.h>
989    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
990 
991    Not Collective
992 
993    Input Parameters:
994 +  nrows - the number of rows indicated
995 .  rows - the indices of the rows
996 .  ncols - the number of columns in the matrix
997 .  cols - the columns indicated
998 .  dnz - the array that will be passed to the matrix preallocation routines
999 -  onz - the other array passed to the matrix preallocation routines
1000 
1001    Level: intermediate
1002 
1003    Notes:
1004     See Users-Manual: ch_performance for more details.
1005 
1006    Do not malloc or free dnz and onz that is handled internally by these routines
1007 
1008    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1009 
1010 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1011           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1012 M*/
1013 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1014 do { PetscInt __i; \
1015   for (__i=0; __i<nc; __i++) {\
1016     if (cols[__i] >= __end) onz[row - __rstart]++; \
1017     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1018   }\
1019 } while (0)
1020 
1021 /*MC
1022    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1023 
1024    Synopsis:
1025    #include <petscmat.h>
1026    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1027 
1028    Not Collective
1029 
1030    Input Parameters:
1031 +  A - matrix
1032 .  row - row where values exist (must be local to this process)
1033 .  ncols - number of columns
1034 .  cols - columns with nonzeros
1035 .  dnz - the array that will be passed to the matrix preallocation routines
1036 -  onz - the other array passed to the matrix preallocation routines
1037 
1038    Level: intermediate
1039 
1040    Notes:
1041     See Users-Manual: ch_performance for more details.
1042 
1043    Do not malloc or free dnz and onz that is handled internally by these routines
1044 
1045    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1046 
1047 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1048           MatPreallocateSymmetricSetLocalBlock()
1049 M*/
1050 #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)
1051 
1052 
1053 /*MC
1054    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1055        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1056 
1057    Synopsis:
1058    #include <petscmat.h>
1059    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1060 
1061    Collective
1062 
1063    Input Parameters:
1064 +  dnz - the array that was be passed to the matrix preallocation routines
1065 -  onz - the other array passed to the matrix preallocation routines
1066 
1067    Level: intermediate
1068 
1069    Notes:
1070     See Users-Manual: ch_performance for more details.
1071 
1072    Do not malloc or free dnz and onz that is handled internally by these routines
1073 
1074    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1075 
1076 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1077           MatPreallocateSymmetricSetLocalBlock()
1078 M*/
1079 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1080 
1081 /* Routines unique to particular data structures */
1082 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1083 
1084 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1085 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1086 
1087 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1088 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1089 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1090 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1091 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1092 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1093 
1094 #define MAT_SKIP_ALLOCATION -4
1095 
1096 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1097 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1098 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1099 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1100 
1101 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1102 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1103 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1104 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1105 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1106 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1107 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1108 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1109 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1110 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1111 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1112 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1113 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1114 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1115 
1116 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1117 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1118 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1119 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1120 
1121 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1122 
1123 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1124 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1125 
1126 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1127 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1128 /*
1129   These routines are not usually accessed directly, rather solving is
1130   done through the KSP and PC interfaces.
1131 */
1132 
1133 /*J
1134     MatOrderingType - String with the name of a PETSc matrix ordering
1135 
1136    Level: beginner
1137 
1138    Notes:
1139       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1140 
1141 .seealso: MatGetOrdering()
1142 J*/
1143 typedef const char* MatOrderingType;
1144 #define MATORDERINGNATURAL        "natural"
1145 #define MATORDERINGND             "nd"
1146 #define MATORDERING1WD            "1wd"
1147 #define MATORDERINGRCM            "rcm"
1148 #define MATORDERINGQMD            "qmd"
1149 #define MATORDERINGROWLENGTH      "rowlength"
1150 #define MATORDERINGWBM            "wbm"
1151 #define MATORDERINGSPECTRAL       "spectral"
1152 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1153 #define MATORDERINGNATURAL_OR_ND  "natural_or_nd"  /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1154 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1155 
1156 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1157 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1158 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1159 PETSC_EXTERN PetscFunctionList MatOrderingList;
1160 
1161 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1162 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1163 
1164 /*S
1165     MatFactorShiftType - Numeric Shift for factorizations
1166 
1167    Level: beginner
1168 
1169 .seealso: MatGetFactor()
1170 S*/
1171 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1172 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1173 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1174 
1175 /*S
1176     MatFactorError - indicates what type of error was generated in a matrix factorization
1177 
1178     Level: beginner
1179 
1180     Developer Notes:
1181     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1182 
1183 .seealso: MatGetFactor()
1184 S*/
1185 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1186 
1187 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1188 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1189 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1190 
1191 /*S
1192    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1193 
1194    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1195 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1196 
1197    Notes:
1198     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1199 
1200       You can use MatFactorInfoInitialize() to set default values.
1201 
1202    Level: developer
1203 
1204 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1205           MatFactorInfoInitialize()
1206 
1207 S*/
1208 typedef struct {
1209   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1210   PetscReal     usedt;
1211   PetscReal     dt;             /* drop tolerance */
1212   PetscReal     dtcol;          /* tolerance for pivoting */
1213   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1214   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1215   PetscReal     levels;         /* ICC/ILU(levels) */
1216   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1217                                    factorization may be faster if do not pivot */
1218   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1219   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1220   PetscReal     shiftamount;     /* how large the shift is */
1221 } MatFactorInfo;
1222 
1223 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1224 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1225 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1226 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1227 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1228 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1229 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1230 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1231 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1232 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1233 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1234 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1235 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1236 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1237 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1238 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1239 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1240 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1241 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1242 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1243 
1244 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1245 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1246 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1247 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1248 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1249 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1250 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1251 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1252 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1253 
1254 /*E
1255     MatSORType - What type of (S)SOR to perform
1256 
1257     Level: beginner
1258 
1259    May be bitwise ORd together
1260 
1261    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1262 
1263    MatSORType may be bitwise ORd together, so do not change the numbers
1264 
1265 .seealso: MatSOR()
1266 E*/
1267 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1268               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1269               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1270               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1271 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1272 
1273 /*
1274     These routines are for efficiently computing Jacobians via finite differences.
1275 */
1276 
1277 /*S
1278      MatColoring - Object for managing the coloring of matrices.
1279 
1280    Level: beginner
1281 
1282     Notes:
1283        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1284        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1285 
1286        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1287        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1288 
1289 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1290 S*/
1291 typedef struct _p_MatColoring* MatColoring;
1292 
1293 /*J
1294     MatColoringType - String with the name of a PETSc matrix coloring
1295 
1296    Level: beginner
1297 
1298 .seealso: MatColoringSetType(), MatColoring
1299 J*/
1300 typedef const  char*           MatColoringType;
1301 #define MATCOLORINGJP      "jp"
1302 #define MATCOLORINGPOWER   "power"
1303 #define MATCOLORINGNATURAL "natural"
1304 #define MATCOLORINGSL      "sl"
1305 #define MATCOLORINGLF      "lf"
1306 #define MATCOLORINGID      "id"
1307 #define MATCOLORINGGREEDY  "greedy"
1308 
1309 /*E
1310    MatColoringWeightType - Type of weight scheme
1311 
1312     Not Collective
1313 
1314 +   MAT_COLORING_RANDOM  - Random weights
1315 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1316 -   MAT_COLORING_LF      - Last-first weighting.
1317 
1318     Level: intermediate
1319 
1320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1321 
1322 .seealso: MatColoring, MatColoringCreate()
1323 E*/
1324 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1325 
1326 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1327 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1328 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1329 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1330 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1331 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1332 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1333 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1334 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1335 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1336 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1337 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1338 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1339 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1340 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1341 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1342 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1343 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1344 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1345 
1346 /*S
1347      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1348         and coloring
1349 
1350    Level: beginner
1351 
1352    Notes:
1353       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1354 
1355 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1356 S*/
1357 typedef struct _p_MatFDColoring* MatFDColoring;
1358 
1359 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1360 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1361 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1362 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1363 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1364 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1365 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1366 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1367 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1368 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1369 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1370 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1371 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1372 
1373 /*S
1374      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1375 
1376    Level: beginner
1377 
1378 .seealso:  MatTransposeColoringCreate()
1379 S*/
1380 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1381 
1382 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1383 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1384 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1385 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1386 
1387 /*
1388     These routines are for partitioning matrices: currently used only
1389   for adjacency matrix, MatCreateMPIAdj().
1390 */
1391 
1392 /*S
1393      MatPartitioning - Object for managing the partitioning of a matrix or graph
1394 
1395    Level: beginner
1396 
1397    Notes:
1398      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1399      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1400 
1401    Developers Note:
1402      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1403 
1404 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1405 S*/
1406 typedef struct _p_MatPartitioning* MatPartitioning;
1407 
1408 /*J
1409     MatPartitioningType - String with the name of a PETSc matrix partitioning
1410 
1411    Level: beginner
1412 dm
1413 .seealso: MatPartitioningCreate(), MatPartitioning
1414 J*/
1415 typedef const char* MatPartitioningType;
1416 #define MATPARTITIONINGCURRENT  "current"
1417 #define MATPARTITIONINGAVERAGE   "average"
1418 #define MATPARTITIONINGSQUARE   "square"
1419 #define MATPARTITIONINGPARMETIS "parmetis"
1420 #define MATPARTITIONINGCHACO    "chaco"
1421 #define MATPARTITIONINGPARTY    "party"
1422 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1423 #define MATPARTITIONINGHIERARCH  "hierarch"
1424 
1425 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1426 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1427 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1428 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1429 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1430 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1431 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1435 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1436 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1439 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1443 
1444 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1445 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1446 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1447 
1448 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1449 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1450 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1451 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1452 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1453 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1454 
1455 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1456 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1457 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1460 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1461 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1462 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1466 
1467 #define MP_PARTY_OPT "opt"
1468 #define MP_PARTY_LIN "lin"
1469 #define MP_PARTY_SCA "sca"
1470 #define MP_PARTY_RAN "ran"
1471 #define MP_PARTY_GBF "gbf"
1472 #define MP_PARTY_GCF "gcf"
1473 #define MP_PARTY_BUB "bub"
1474 #define MP_PARTY_DEF "def"
1475 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1476 #define MP_PARTY_HELPFUL_SETS "hs"
1477 #define MP_PARTY_KERNIGHAN_LIN "kl"
1478 #define MP_PARTY_NONE "no"
1479 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1480 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1481 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1482 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1483 
1484 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1485 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1486 
1487 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1488 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1489 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1490 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1491 
1492 /*
1493  * hierarchical partitioning
1494  */
1495 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1496 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1497 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1498 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1499 
1500 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1501 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1502 
1503 /*
1504     If you add entries here you must also add them to include/petscmat.h
1505     and src/mat/f90-mod/petscmat.h
1506 */
1507 typedef enum { MATOP_SET_VALUES=0,
1508                MATOP_GET_ROW=1,
1509                MATOP_RESTORE_ROW=2,
1510                MATOP_MULT=3,
1511                MATOP_MULT_ADD=4,
1512                MATOP_MULT_TRANSPOSE=5,
1513                MATOP_MULT_TRANSPOSE_ADD=6,
1514                MATOP_SOLVE=7,
1515                MATOP_SOLVE_ADD=8,
1516                MATOP_SOLVE_TRANSPOSE=9,
1517                MATOP_SOLVE_TRANSPOSE_ADD=10,
1518                MATOP_LUFACTOR=11,
1519                MATOP_CHOLESKYFACTOR=12,
1520                MATOP_SOR=13,
1521                MATOP_TRANSPOSE=14,
1522                MATOP_GETINFO=15,
1523                MATOP_EQUAL=16,
1524                MATOP_GET_DIAGONAL=17,
1525                MATOP_DIAGONAL_SCALE=18,
1526                MATOP_NORM=19,
1527                MATOP_ASSEMBLY_BEGIN=20,
1528                MATOP_ASSEMBLY_END=21,
1529                MATOP_SET_OPTION=22,
1530                MATOP_ZERO_ENTRIES=23,
1531                MATOP_ZERO_ROWS=24,
1532                MATOP_LUFACTOR_SYMBOLIC=25,
1533                MATOP_LUFACTOR_NUMERIC=26,
1534                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1535                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1536                MATOP_SETUP_PREALLOCATION=29,
1537                MATOP_ILUFACTOR_SYMBOLIC=30,
1538                MATOP_ICCFACTOR_SYMBOLIC=31,
1539                MATOP_GET_DIAGONAL_BLOCK=32,
1540                MATOP_FREE_INTER_STRUCT=33,
1541                MATOP_DUPLICATE=34,
1542                MATOP_FORWARD_SOLVE=35,
1543                MATOP_BACKWARD_SOLVE=36,
1544                MATOP_ILUFACTOR=37,
1545                MATOP_ICCFACTOR=38,
1546                MATOP_AXPY=39,
1547                MATOP_CREATE_SUBMATRICES=40,
1548                MATOP_INCREASE_OVERLAP=41,
1549                MATOP_GET_VALUES=42,
1550                MATOP_COPY=43,
1551                MATOP_GET_ROW_MAX=44,
1552                MATOP_SCALE=45,
1553                MATOP_SHIFT=46,
1554                MATOP_DIAGONAL_SET=47,
1555                MATOP_ZERO_ROWS_COLUMNS=48,
1556                MATOP_SET_RANDOM=49,
1557                MATOP_GET_ROW_IJ=50,
1558                MATOP_RESTORE_ROW_IJ=51,
1559                MATOP_GET_COLUMN_IJ=52,
1560                MATOP_RESTORE_COLUMN_IJ=53,
1561                MATOP_FDCOLORING_CREATE=54,
1562                MATOP_COLORING_PATCH=55,
1563                MATOP_SET_UNFACTORED=56,
1564                MATOP_PERMUTE=57,
1565                MATOP_SET_VALUES_BLOCKED=58,
1566                MATOP_CREATE_SUBMATRIX=59,
1567                MATOP_DESTROY=60,
1568                MATOP_VIEW=61,
1569                MATOP_CONVERT_FROM=62,
1570                MATOP_MATMAT_MULT=63,
1571                MATOP_MATMAT_MULT_SYMBOLIC=64,
1572                MATOP_MATMAT_MULT_NUMERIC=65,
1573                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1574                MATOP_SET_VALUES_LOCAL=67,
1575                MATOP_ZERO_ROWS_LOCAL=68,
1576                MATOP_GET_ROW_MAX_ABS=69,
1577                MATOP_GET_ROW_MIN_ABS=70,
1578                MATOP_CONVERT=71,
1579                MATOP_SET_COLORING=72,
1580                /* MATOP_PLACEHOLDER_73=73, */
1581                MATOP_SET_VALUES_ADIFOR=74,
1582                MATOP_FD_COLORING_APPLY=75,
1583                MATOP_SET_FROM_OPTIONS=76,
1584                MATOP_MULT_CONSTRAINED=77,
1585                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1586                MATOP_FIND_ZERO_DIAGONALS=79,
1587                MATOP_MULT_MULTIPLE=80,
1588                MATOP_SOLVE_MULTIPLE=81,
1589                MATOP_GET_INERTIA=82,
1590                MATOP_LOAD=83,
1591                MATOP_IS_SYMMETRIC=84,
1592                MATOP_IS_HERMITIAN=85,
1593                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1594                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1595                MATOP_CREATE_VECS=88,
1596                MATOP_MAT_MULT=89,
1597                MATOP_MAT_MULT_SYMBOLIC=90,
1598                MATOP_MAT_MULT_NUMERIC=91,
1599                MATOP_PTAP=92,
1600                MATOP_PTAP_SYMBOLIC=93,
1601                MATOP_PTAP_NUMERIC=94,
1602                MATOP_MAT_TRANSPOSE_MULT=95,
1603                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1604                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1605                /* MATOP_PLACEHOLDER_98=98, */
1606                MATOP_PRODUCTSETFROMOPTIONS=99,
1607                MATOP_PRODUCTSYMBOLIC=100,
1608                MATOP_PRODUCTNUMERIC=101,
1609                MATOP_CONJUGATE=102,
1610                /* MATOP_PLACEHOLDER_103=103, */
1611                MATOP_SET_VALUES_ROW=104,
1612                MATOP_REAL_PART=105,
1613                MATOP_IMAGINARY_PART=106,
1614                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1615                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1616                MATOP_MAT_SOLVE=109,
1617                MATOP_MAT_SOLVE_TRANSPOSE=110,
1618                MATOP_GET_ROW_MIN=111,
1619                MATOP_GET_COLUMN_VECTOR=112,
1620                MATOP_MISSING_DIAGONAL=113,
1621                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1622                MATOP_CREATE=115,
1623                MATOP_GET_GHOSTS=116,
1624                MATOP_GET_LOCAL_SUB_MATRIX=117,
1625                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1626                MATOP_MULT_DIAGONAL_BLOCK=119,
1627                MATOP_HERMITIAN_TRANSPOSE=120,
1628                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1629                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1630                MATOP_GET_MULTI_PROC_BLOCK=123,
1631                MATOP_FIND_NONZERO_ROWS=124,
1632                MATOP_GET_COLUMN_NORMS=125,
1633                MATOP_INVERT_BLOCK_DIAGONAL=126,
1634                /* MATOP_PLACEHOLDER_127=127, */
1635                MATOP_CREATE_SUB_MATRICES_MPI=128,
1636                MATOP_SET_VALUES_BATCH=129,
1637                MATOP_TRANSPOSE_MAT_MULT=130,
1638                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1639                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1640                MATOP_TRANSPOSE_COLORING_CREAT=133,
1641                MATOP_TRANS_COLORING_APPLY_SPT=134,
1642                MATOP_TRANS_COLORING_APPLY_DEN=135,
1643                MATOP_RART=136,
1644                MATOP_RART_SYMBOLIC=137,
1645                MATOP_RART_NUMERIC=138,
1646                MATOP_SET_BLOCK_SIZES=139,
1647                MATOP_AYPX=140,
1648                MATOP_RESIDUAL=141,
1649                MATOP_FDCOLORING_SETUP=142,
1650                MATOP_MPICONCATENATESEQ=144,
1651                MATOP_DESTROYSUBMATRICES=145,
1652                MATOP_TRANSPOSE_SOLVE=146,
1653                MATOP_GET_VALUES_LOCAL=147
1654              } MatOperation;
1655 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1656 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1657 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1658 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1659 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1660 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1661 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1662 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1663 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1664 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1665 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1666 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1667 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1668 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1669 
1670 /*
1671    Codes for matrices stored on disk. By default they are
1672    stored in a universal format. By changing the format with
1673    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1674    be stored in a way natural for the matrix, for example dense matrices
1675    would be stored as dense. Matrices stored this way may only be
1676    read into matrices of the same type.
1677 */
1678 #define MATRIX_BINARY_FORMAT_DENSE -1
1679 
1680 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1681 
1682 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1683 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1684 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1685 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1686 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1687 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1688 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1689 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1690 
1691 /*S
1692      MatNullSpace - Object that removes a null space from a vector, i.e.
1693          orthogonalizes the vector to a subsapce
1694 
1695    Level: advanced
1696 
1697   Users manual sections:
1698 .   sec_singular
1699 
1700 .seealso:  MatNullSpaceCreate()
1701 S*/
1702 typedef struct _p_MatNullSpace* MatNullSpace;
1703 
1704 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1705 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1706 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1707 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1708 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1709 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1710 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1711 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1712 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1713 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1714 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1715 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1716 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1717 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1718 
1719 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1720 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1721 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1722 
1723 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1724 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1725 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1726 
1727 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1728 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1729 
1730 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1731 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1732 
1733 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1734 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1735 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1736 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1737 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1738 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1739 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1740 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1741 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1742 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1743 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1744 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1745 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1746 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1747 
1748 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1749 
1750 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1751 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1752 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1753 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1754 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1755 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1756 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1757 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1758 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1759 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1760 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1761 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1762 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1763 
1764 /*S
1765     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1766               Jacobian vector products
1767 
1768     Notes:
1769     MATMFFD is a specific MatType which uses the MatMFFD data structure
1770 
1771            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1772 
1773     Level: developer
1774 
1775 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1776 S*/
1777 typedef struct _p_MatMFFD* MatMFFD;
1778 
1779 /*J
1780     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1781 
1782    Level: beginner
1783 
1784 .seealso: MatMFFDSetType(), MatMFFDRegister()
1785 J*/
1786 typedef const char* MatMFFDType;
1787 #define MATMFFD_DS  "ds"
1788 #define MATMFFD_WP  "wp"
1789 
1790 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1791 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1792 
1793 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1794 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1795 
1796 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1797 
1798 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1799 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1800 
1801 #ifdef PETSC_HAVE_HARA
1802 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1803 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1804 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1805 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1806 #endif
1807 
1808 /*
1809    PETSc interface to MUMPS
1810 */
1811 #ifdef PETSC_HAVE_MUMPS
1812 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1813 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1814 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1815 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1816 
1817 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1818 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1819 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1820 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1821 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1822 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1823 #endif
1824 
1825 /*
1826    PETSc interface to Mkl_Pardiso
1827 */
1828 #ifdef PETSC_HAVE_MKL_PARDISO
1829 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1830 #endif
1831 
1832 /*
1833    PETSc interface to Mkl_CPardiso
1834 */
1835 #ifdef PETSC_HAVE_MKL_CPARDISO
1836 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1837 #endif
1838 
1839 /*
1840    PETSc interface to SUPERLU
1841 */
1842 #ifdef PETSC_HAVE_SUPERLU
1843 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1844 #endif
1845 
1846 /*
1847    PETSc interface to SUPERLU_DIST
1848 */
1849 #ifdef PETSC_HAVE_SUPERLU_DIST
1850 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1851 #endif
1852 
1853 /*
1854    PETSc interface to STRUMPACK
1855 */
1856 #ifdef PETSC_HAVE_STRUMPACK
1857 /*E
1858     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1859 
1860     Level: intermediate
1861 E*/
1862 typedef enum {MAT_STRUMPACK_NATURAL=0,
1863               MAT_STRUMPACK_METIS=1,
1864               MAT_STRUMPACK_PARMETIS=2,
1865               MAT_STRUMPACK_SCOTCH=3,
1866               MAT_STRUMPACK_PTSCOTCH=4,
1867               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1868 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1869 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1870 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1871 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1872 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1873 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1874 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1875 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1876 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1877 #endif
1878 
1879 
1880 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1881 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1882 
1883 #ifdef PETSC_HAVE_CUDA
1884 /*E
1885     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1886     matrices.
1887 
1888     Not Collective
1889 
1890 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1891 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1892 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1893 
1894     Level: intermediate
1895 
1896    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1897 
1898 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1899 E*/
1900 
1901 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1902 
1903 /* these will be strings associated with enumerated type defined above */
1904 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1905 
1906 /*E
1907     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1908     matrices whose operation should use a particular storage format.
1909 
1910     Not Collective
1911 
1912 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1913 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1914 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1915 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1916 
1917     Level: intermediate
1918 
1919 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1920 E*/
1921 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1922 
1923 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1924 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1925 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1926 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1927 
1928 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1929 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1930 
1931 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1932 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1933 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1934 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1935 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1936 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1937 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1938 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1939 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1940 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1941 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1942 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1943 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1944 
1945 #endif
1946 
1947 #if defined(PETSC_HAVE_VIENNACL)
1948 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1949 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1950 #endif
1951 
1952 /*
1953    PETSc interface to FFTW
1954 */
1955 #if defined(PETSC_HAVE_FFTW)
1956 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1957 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1958 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1959 #endif
1960 
1961 #if defined(PETSC_HAVE_SCALAPACK)
1962 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1963 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1964 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1965 #endif
1966 
1967 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1968 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1969 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1970 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1971 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1972 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1973 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1974 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1975 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1976 
1977 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1978 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1979 
1980 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1981 
1982 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1983 
1984 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1985 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1986 #endif
1987